From the given equation, (x/5) + (x/10) = 7, value of x = 70/3.
What is an equation?Equations are mathematical statements that show the equivalence or balance of two expressions. The equal sign (=) signifies that it contains variables, integers, and mathematical operations. Equations are used to represent connections between different quantities and can be solved to get unknown values. For example, to find x in the equation 2x + 3 = 7, take the third term away from both sides, giving 2x = 4, and then divide both sides by two, giving x = 2.
Given equation:
x/5 + x/10 = 7
or, (2x + x) / 10 = 7
or, 3x = 70
or, x = 70/3
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Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?
---------------------
$100.95-------------------
$100.95-$37.25-----------$63.70-----------She has $63.70 left on ThursdayIs the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
from the base of the tree?
Answer: 6 meters
Step-by-step explanation:
I had this question and got the answer right.
The distance from the base of the tree will be 6 meters.
What is a Pythagorean theorem?The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.
From the Pythagorean theorem, the base will be calculated as:-
H² = P² + B²
B = √ ( H² - P² )
B = √ ( 10² - 8² )
B = √36
B = 6 meters
Hence, the 6 meters will separate you from the tree's base.
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A submarine is 50 meters below sea level . It goes up 15 meters, then goes down 40 meters. What is the submarines new position relative to sea level?
Answer:
Step-by-step 2-3 as an addition problem. Then simplify and solve the expression. 2+(-3)=-1
12+(-8)-1 3
A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters. What is the submarine's new position relative to sea level? -75 meters
Iman had twice as much money as Daphne at first. After Iman had spent $128 of her money on a bag and Daphne had spent $40 of her money on a dress, they had an equal amount of money left. How much money did each of them have left? pls help me.
Step-by-step explanation:
x = Iman's money
y = Daphne's money
x = 2y
x - 128 = y - 40
now we use the first equation as identity in the second equation and get
2y - 128 = y - 40
y - 128 = -40
y = $88
x = 2y = $176
these were the starting values.
now, after spending, they have both left
176 - 128 = 88 - 40 = $48
the diffrence of two numbers is 1 and their product is 56
Answer: I hope this is helpful please mark me brainlist
Step-by-step explanation:
inspection, two numbers whose sum is -1 and whose product is -56 are -8 and 7.
Answer: the answer is 8 and 7.
Can someone help me please
Answer:
A. addition property of equality
Step-by-step explanation:
To make x stand alone, "5" was added to both sides of the equation. The property that is applied here is the addition property of equality.
Adding "5" to both sides of the equation makes the equation balanced.
The answer is: A. addition property of equality
A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated as shown in the following figure.
graph of number of workers vs. time; between t=0 hours and t=8 hours the graph behaves as a sine curve with centerline 30, amplitude 10 and period 16; between t=12 and t=20, the graph is constant at 20. Then, at t=20 the graph becomes a sine curve again, starting at its minimum and completing one period between t=20 and t=36. The graph is then constant at 20 until t=44, before increasing as a sine again until t=48.
Suppose that the workers were paid 15 dollars per hour for work during the time period 9 am to 5 pm and were paid 22.5 dollars per hour for work during the rest of the day. What would the total personnel costs of the clean up have been under these conditions?
total cost =
dollars
The total personnel costs of the cleanup would be $8,625.
How to determine?Between 9AM and 5PM, a total of 8 hours, the workers are present during the interval t=0 to t=8. During this interval, the number of workers is given by:
f(t) = 30 + 10sin((2π/16)t)
We can calculate the number of workers for each hour using this formula:
f(0) = 30 + 10sin(0) = 30
f(1) = 30 + 10sin(π/8) ≈ 38.66
f(2) = 30 + 10sin(π/4) = 40
f(3) = 30 + 10sin(3π/8) ≈ 38.66
f(4) = 30 + 10sin(π/2) = 40
f(5) = 30 + 10sin(5π/8) ≈ 38.66
f(6) = 30 + 10sin(3π/4) = 30
f(7) = 30 + 10sin(7π/8) ≈ 21.34
f(8) = 30 + 10sin(π) = 20
So, during the first 8 hours, the number of workers fluctuates between 20 and 40.
Between 5PM and 9AM the next day, a total of 16 hours, the workers are present during the intervals t=8 to t=12, t=20 to t=36, and t=44 to t=48. During these intervals, the number of workers is given by:
Between t=8 and t=12, the number of workers is decreasing from 40 to 20. We can approximate this by a linear function:
f(t) = 40 - 5t
Between t=20 and t=36, the number of workers is constant at 20.
Between t=44 and t=48, the number of workers is increasing from 20 to 40. We can use the same linear function as before, but with t shifted by 44:
f(t) = 40 - 5(t-44)
We can now calculate the total personnel costs by multiplying the number of workers at each time interval by the appropriate hourly rate:
From 9AM to 5PM (8 hours): 30 workers on average, at a rate of $15 per hour:
8 × 30 × 15 = $3,600
From 5PM to 9AM the next day (16 hours):
From t=8 to t=12 (4 hours): average of 30 workers, at a rate of $22.5 per hour:
4 × 30 × 22.5 = $2,700
From t=20 to t=36 (16 hours): constant 20 workers, at a rate of $22.5 per hour:
16 × 20 × 22.5 = $7,200
From t=44 to t=48 (4 hours): average of 30 workers, at a rate of $22.5 per hour:
4 × 30 × 22.5 = $2,700
The total cost is the sum of the costs for each time interval:
$3,600 + $2,700 + $7,200 + $2,700 = $16,200
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How to simplify question below ?
Answer:
\(3x^2y\)
Step-by-step explanation:
The cube root of 27 is 3.
With indices, cube rooting them is the equivalent of multiplying by 1/3 so:
\(x^2y\).
Put these 2 things together and you get:
\(3x^2y\)
Jayson reads the first 48 pages of a 480-page book in 3 days. Marcus reads the first 50 pages of a 400-page book in 4 days. Nina reads the first 120 pages of a 600-page book in 5 days. If they continue to read at these rates, who will finish first?
Answer:
Nina will finish first.
Step-by-step explanation:
Let's calculate how many pages each person reads in one day:
Jayson ⇒ 48 pages / 3 days = 16 pages/dayMarcus ⇒ 50 pages / 4 days = 12.5 pages/dayNina ⇒ 120 pages / 5 days = 24 pages/dayThen we divide the number of pages of each book by reading speed of the respective person:
Jayson ⇒ 480 pages ÷ 16 pages/day = 30 days Marcus ⇒ 400 pages ÷ 12.5 pages/day = 32 days Nina ⇒ 600 pages ÷ 24 pages/day = 25 daysThus Nina will take the shortest time finishing her book.
Answer:
Step-by-step explanation:
the amswer is nina
Solve the complex number X ⁴ + 2²x + 2 =0
The solutions to the equation x⁴ + 2x² + 2 = 0 are
x = ±√(-1 ± i).How to solve the equationTo solve the equation x⁴ + 2x² + 2 = 0, we can use a substitution to simplify the equation. Let's substitute y = x²:
Now, the equation becomes y² + 2y + 2 = 0.
We can solve this quadratic equation for y using the quadratic formula:
y = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 1, b = 2, and c = 2. Plugging these values into the quadratic formula, we get:
y = (-2 ± √(2² - 4 * 1 * 2)) / (2 * 1)
= (-2 ± √(4 - 8)) / 2
= (-2 ± √(-4)) / 2
Since we have a square root of a negative number, the equation has complex solutions. Simplifying further:
y = (-2 ± 2i) / 2
= -1 ± i
Now, we substitute y back into the equation y = x²:
x² = -1 ± i
To solve for x, we take the square root of both sides:
x = ±√(-1 ± i)
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Evaluate the expression P(6,1)
Answer:
p(6,3)=120
Step-by-step explanation:
In the pic is how to do it
The value of the permutation expression P(6, 1) will be 6.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Evaluate the expression P(6, 1).
We know that the formula for the permutation is given as,
ⁿPₓ = n! / (n - x)!
From the above, the value of n is 6 and the value of x is 1. Then we have
⁶P₁ = 6! / (6 - 1)!
⁶P₁ = 6! / 5!
⁶P₁ = 6 x 5! / 5!
⁶P₁ = 6
The value of the permutation expression P(6, 1) will be 6.
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アhi can you please help me
Answer:
C) 1.
Step-by-step explanation:
Calculator
Given the table below find f(g(3))
Answer:
Steps in provided image.
Step-by-step explanation:
In the given table, the value of f(g(3)) is 4. The correct option is 1.
What is frequency table?A frequency table is a table that displays the frequency of each category or value in a dataset. It is a way of summarizing the distribution of a dataset by showing how often each category or value occurs.
The table typically has two columns: one column lists the categories or values, and the other column lists the corresponding frequency or count.
To find f(g(3)), we first need to determine the value of g(3), and then use that value to find f(g(3)).
From the table, we can see that g(3) is equal to 0, since the value of G(x) is 0 when x=3.
Next, we need to find the value of f(0) by looking at the F(x) column of the table when x=0.
We can see that when x=0, F(x) is equal to 4.
Therefore, f(g(3)) is equal to f(0), which is equal to 4.
Thus, f(g(3)) = f(0) = 4. The correct option is 1.
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A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
Word Problem Leading to Exponential FunctionFirst analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.
Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let
I = initial amount injected = 0.9 gramsR = decay rate = 1.15%t = number of days = 60 daysA = the remaining amount of Iodine - 125An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be
A = I( 1 - R%)^t
Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula
A = 0.9 ( 1 - 1.15/100)^60
A = 0.9 ( 1 - 0.0115)^60
A = 0.9 ( 0.9885)^60
A = 0.9 x 0.4995
A = 0.45 grams
Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
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Is the relation shown in
the table a function?
Explain.
The inputs 4 and 8 have more than one out, the relation is not a function.
Is the relation shown in the table a function?A relation is said to be a function if one input is mapped to one output.
that is, each x-value can only have one y-value.
From the table;
Input, output
4 ----- 1
8 ----- 3
4 ------5
8 ----- 4
4 is an input, it has an output of 1.
4 appeared again as input but this time has an output of 5.
This means one input has more than one output.
Also, 8 is an input, it has an output of 3.
8 appeared again as input but this time has an output of 4.
Which also means one input has more than one output.
Therefore, the relation is not a function.
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The lengths of the sides of a triangle are in the extended ratio 4:7:10. The perimeter of the triangle is 105 cm. What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
Answer:
20cm, 28cm, 40cm
Step-by-step explanation:
Let the shortest side be 4x, the middle side be 7x and the longest side be 10x.
4x + 7x + 10x = 105
21x = 105
x = 105 ÷ 21
x = 5
Shortest side (4x) = 5 × 4
Shortest side (4x) = 20
Middle side (7x) = 7 × 4
Middle side (7x) = 28
Longest side (10x) = 10 × 4
Longest side (10x) = 40
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
Which set of points lies on the the graph of the function? Responses A {(0, 0), (-1, -1), and (1, 1)}{(0, 0), (-1, -1), and (1, 1)} B {(0, 0), (-1, 1), and (1, -1)}{(0, 0), (-1, 1), and (1, -1)} C {(0, 0), (1, 1), and (2, 2)}{(0, 0), (1, 1), and (2, 2)} D {(1, 1), (1, 2), and (2, 3)}{(1, 1), (1, 2), and (2, 3)} E {(0, 0), (-1, 1), and (1, 2)}{(0, 0), (-1, 1), and (1, 2)} DUE TODAY PLEASE PLEASE PLEASE PLEASE HELP I'LL GIVE FIVE STARS AND HEART I'D APPRECIATE IT SO MUCH
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
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Answer:
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
Step-by-step explanation:
Two students were competing to have the
highest amount of sales at a bake sale.
Together they made $132. If each
student had made $15 more in sales, one
student would have made twice as much
as the other student.
How much money did the winning
student make, in dollars?
Amount of money made by thee winning student as per the given conditions is equal to $93.
As given in the question,
Let x dollars be the money made by winning student
And y be the amount made by other student
As per given conditions:
x + y = $132 ___(1)
x + 15 = 2(y+15)
⇒ x +15 = 2y +30
⇒ x-2y =15 ____(2)
Multiply (1) by 2 and add it to (2)
2x +2y = 264
x - 2y = 15
3x = 279
⇒x =$93
Hence, y = 132 -93
= $39
Therefore, amount of money made by thee winning student as per the given conditions is equal to $93.
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The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
The new pyramid has a volume that is One-fourth the volume of the original pyramid.
The new pyramid has a volume that is One-half the volume of the original pyramid.
The new pyramid has the same volume as the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.
Answer:
B.)The new pyramid has a volume that is One-half the volume of the original pyramid.
Step-by-step explanation:
got it right on test.
Answer:
B
Step-by-step explanation:
I got it correct
What is the quotient?
Answer:
5(7/9)
Step-by-step explanation:
-4(1/3) / -3/4
Make top fraction, improper fraction: 3*4+1 = -13/3
(-13/3) / (-3/4)
When doing division, we first change it into a multiplication sign, then take the reciprocal of the second fraction. The reciprocal means to flip the fraction or to make the numerator the denominator, and the denominator the numerator.
Thus (-3/4) becomes (-4/3)
(-13/3) * (-4/3)
Now solve
52/9
Make into a mixed fraction
5(7/9)
BER
Given the function f(x) = 6|x - 2] + 3, for what values of x is f(x) = 39?
x=-8, x=4
O x=8, x=-4
Ox=9, x=-4
0 x = 8, x=-10
DONE
Answer: x= 8 x= -4
Step-by-step explanation:
Option B is correct, the values of x for which function f(x) = 39 are x = 8 and x = -4.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x) = 6|x - 2] + 3 and given f(x) = 39.
We have to find the values of x by plugging the 39 in the function f(x) = 6|x - 2] + 3.
6|x - 2| + 3 = 39
Subtracting 3 from both sides:
6|x - 2| = 36
Dividing by 6:
|x - 2| = 6
The absolute value of (x - 2) could be either positive or negative, so we need to solve for both cases:
Case 1: x - 2 = 6
x = 8
Case 2: -(x - 2) = 6
-x + 2 = 6
-x = 4
x = -4
Therefore, the values of x for which function f(x) = 39 are x = 8 and x = -4.
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Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
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Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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joey goes to the carnival. he spends $26. he buys himself a supersize shake for $5.00. He also buys six regular-size sundaes. Write an equation that you could solve to find out how much each sundae costs.
HELP PLS, IT'S A TEST-
I reallly need help with it.
The net of the pyramid is the plane shapes that makes up the pyramid
The surface area of the pyramid is 224 m^2
How to draw the net of the pyramidThe pyramid is a square based pyramid.
This means that the net of the pyramid has a square and four triangles
See attachment for the net of the pyramid
How to calculate the surface area of the PyramidThe base length is given as:
b = 8
The slant height is given as:
s = 10
Start by calculating the height of the pyramid using:
\(h = \sqrt{s^2 - (b/2)^2}\)
So, we have:
\(h = \sqrt{10^2 - (8/2)^2}\)
\(h = \sqrt{84}\)
The area of the pyramid is then calculated as:
\(A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}\)
So, we have:
\(A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}\)
\(A = 64 +16 * \sqrt{16 + 84}\)
\(A = 64 +16 * \sqrt{100}\)
\(A = 64 +16 * 10\)
\(A = 224\)
Hence, the surface area of the pyramid is 224 m^2
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This is do in a hour please help me. 2) The teacher is handing out note cards to her students. She gave
2 note cards to the first student, 4 note cards to the second
student, 12 note cards to the third student, 16 note cards to the
fourth student, and 32 note cards to the fifth student. If this
pattern continues, how many note cards will the teacher give
to the sixth student? Show your work!!
Simplify the following expression. b²c 2d³f4 - 4d fl b[ ]c[] -2
The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
b²c 2d³f4 - 4d fl b[ ]c[] -2
Express properly
So, we have the following representation
b²c²d³f⁴ - 4dfbc²
Factor out dc² from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)
Factor out f from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)
Factor out b from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)
Hence, the expression is bdc²f(bd²f³ - 4)
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If you wanted to make $798 by investing $6139 for 3 years in an account that pays simple interest, what interest rate you would need to achieve your goal?
Answer:
Below
Step-by-step explanation:
6139 * x * 3 = 798
x = 798/(3*6139) = .0433= 4.33%