Answer:
a. 10
b. -4
Step-by-step explanation:
For these problems, since we are given the x, we plug it into the expression and solve.
a.
3(4)-2 [multiply]
12-2 [subtract]
10
-------------------------------------------------------------------------------------------------------
b.
5(-2)+6 [multiply]
-10+6 [subtract]
-4
Answer:
a) 10 b) -4
Step-by-step explanation:
a) first you times 3 times 4 which you'll get 12. Then you'll subtract 12-2 and you'll get 10.
b) you times 5 times negative 2 which will equal to -10. Then you add -10 + 6 which will equal -4.
PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
I need help, with this mathematical problem.
A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"
Let c represent the number of children.
Which expression represents the number of parents?
c−9
c⋅9
9−c
c + 9
Answer:
c-9
Step-by-step explanation:
Assume an exponential function has a starting value of 16 and a decay rate of 0.52%. Write an equation to model the situation.
Answer:
\(A(t)=16(0.99948)^t\)
Step-by-step explanation:
The exponential function is modeled using the equation:
\(A(t)=A_o(1\pm r)^t\)
Where the plus sign indicates growth and the negative sign indicates exponential decay.
r=Decay/Growth constantt=time\(A_0\) is the starting value.For an exponential function has a starting value of 16 and a decay rate of 0.52%.
\(A_0=16\\r=0.052\%=0.00052\)
This gives:
\(A(t)=16(1- 0.00052)^t\\A(t)=16(0.99948)^t\)
The function that models this situation is:
\(A(t)=16(0.99948)^t\)
Which are values of dimes and nickels?
Can someone please help me?
Answer: X=7/3
Step-by-step explanation:
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
Solve
1
Subtract
2
2
2
from both sides of the equation
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
3
+
2
−
2
=
2
+
1
3
3
−
2
3x+2{\color{#c92786}{-2}}=2x+\frac{13}{3}{\color{#c92786}{-2}}
3x+2−2=2x+313−2
2
Simplify
Subtract the numbers
Subtract the numbers
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
Subtract
2
2x
2x
from both sides of the equation
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
−
2
=
2
+
7
3
−
2
3x{\color{#c92786}{-2x}}=2x+\frac{7}{3}{\color{#c92786}{-2x}}
3x−2x=2x+37−2x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
7
3
x=\frac{7}{3}
x=37
Solution
=
7
32.) Sammy is creating a company called Dynamic-Sound to create the ultimate music
listening experience. The function f(x)=20x+x+ 50+ 30(x+2) represents his total
cost; x represents the number of customers he has. Each pair of headphones costs $20,
each person needs a $1 license for the website (1x), it costs $50 to get a domain name, a
nd it costs $30 for each x + 2 iPod Nanos (he's keeping 2 for himself).
a. Find the value of f(5). (Hint: plug in 5 for x and simplify!)
b. Determine how many customers he has if his total cost is $416?
The function f(5)=365 in the given function f(5) = 51x+ 110
What is a function?A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns precisely one value. A relation rather than a function is depicted in the above graph since one is mapped to two separate values. However, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values might match input values exactly.
The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.
What are the 3 types of functions?One – one function (Injective function) Many – one function. Onto – function (Surjective Function) Into – function.
function f(x), where x = 20x+x+50+30(x + 2)
Find f(5) = 21x + 30x + 110's value.
f(5)= 51*5 + 110 = 255+110 = 365
Consequently, f(5) = 365.
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Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
WHY CAN'T ANYONE HELP ME PLEASE?? The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 5000 Fun Noodles per day. a. Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).
Answer:
y = -1000x +11000
Step-by-step explanation:
Given:
(x, y) = (sales price, number sold) = (3, 8000), (6, 5000)
Find:
slope-intercept equation for a line through these points
Solution:
When given two points, it often works well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Filling in the given points, you have ...
y = (5000 -8000)/(6 -3)/(x -3) +8000
y = (-3000/3)(x -3) +8000
y = -1000x +3000 +8000 . . . . eliminate parentheses
y = -1000x +11000 . . . . the desired equation
Find the product. 5(4v + 1)
Answer: 20v+5
Step-by-step explanation:
5(4v+1)
Use the distributive property to multiply 5 by 4v+1.
20v+5
Answer:
20v+5
Step-by-step explanation:
You would multiply using the distributive property
Distributive property formula examples:
AB=BA
A+B=B+A
(AB)C=A(BC)
(A+B)+C=A+(B+C)
A(B+C)=AB+AC
Which expression is equivalent to the expression quantity negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity?
negative 12 over 18 times t plus 6 over 12
negative 9 over 12 times t minus 2 over 9
12 over 18 times t plus negative 6 over 12
2 over 12 times t plus 2 over 6
The expression which is equivalent to the given expression as given in the task content is; negative 9 over 12 times t minus 2 over 9.
Which expression is equivalent to the expression as given?ait follows from the task content that the expression which is equivalent to the given expression is to be determined.
As evident from the task content; the given expression is;
-7t/6 + 4/9 - ( -5t/12) + 2/3 )
The expression can be solved by collecting like terms and evaluating sums as follows;
-7t/6 + 5t/12 + 4/9 - 2/3
= ( -14t + 5t ) / 12 + (4 - 6)/9
= -9t/12 - 2/9
Therefore, the required expression which is equivalent to that; which is as given is; negative 9 over 12 times t minus 2 over 9.
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I need help with part d!!
The probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.
What is Probability?The probability of an event is a number that indicates how likely the event is to occur.
It is expressed as a number in the range from 0 and 1 or it can be expressed using percentage notation, in the range from 0% to 100%
Given is that the probability of a randomely selected fertilized egg will take 21 days to hatch is 0.028.
We can write the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as -
P{E} = {0.028 + (1 - 0.028)}/2
P{E} = 1/2
P{E} = 0.5
Therefore, the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.
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7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs
Answer:
b=−1
Step-by-step explanation:
It is estimated that a driver takes, on average, 1.4 seconds from seeing an obstacle to reacting by applying the brake or swerving. How far will a car, traveling at 65 miles per hour, travel (in feet) before the driver reacts to an obstacle. Recall that one mile is 5,280 feet.
9514 1404 393
Answer:
about 133.47 feet
Step-by-step explanation:
That distance is ...
distance = speed × time
distance = (65 mi/h)(1.4 s)×(1 h)/(3600 s)×(5280 ft)/(1 mi)
= (65×1.4×5280)/(3600) = 2002/15 ft = 133 7/15 ft ≈ 133.47 ft
The car will travel about 133 feet before the driver reacts.
The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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Find the value of x.
Answer:
x = 124
Step-by-step explanation:
You want the value of the exterior angle x°, given that the remote interior angles are 83° and 41°.
Exterior angleThe exterior angle of a triangle is equal to the sum of the remote interior angles:
x° = 83° +41°
x° = 124°
x = 124
__
Check
The interior angle adjacent to x° is its supplement:
180° -124° = 56°
The sum of the interior angles of the triangle is 180°:
83° +41° +56° = 180° . . . . . true
The theorem we cite above is a consequence of the fact that the missing interior angle is supplementary to both x° and the sum of the other two interior angles. It saves having to find the measure of the missing interior angle.
What is the answer please help you can change my life.
Answer:
The side length is irrational
Step-by-step explanation:
Because the square root of 23 or 20+3 is a non-perfect square root and it's a never ending decimal.
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the following results: Analysis of Variance Source Factor df Ss MS F 3 28.17 9.39 5.37 0.133 15 26.26 1.75 18 54.43 Total What is the decision rule? (Round your answer to 2 decimal places.) eject H0 if F> At the 0.01 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms? Do not reject O Reject
Treatment remains the same. Do not Reject.
Test Statistics:
\(f = \frac{\text{treatment}}{\text{error}} = 5.37\)
Reject Null Hypothesis if \(f > f(a, a-1, N-a)\)
Critical Value \(f(0.01, 3, 15) = 5.42 \text{ (From F Table)}\)
\(\because 5.37 < 5.417\)
We fail to Reject \(H0\)
\(\therefore\) Do not Reject.
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Which of these shapes is a parallelogram but not a square?
Select all that are true.
Answer: The top right and bottom right polygons are parallelograms and not squares.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.
A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.
Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).
The top left image is neither. There are two sets of equal sides, but they are not parallel. The top right image is a parallelogram, as it has two pairs of parallel sides opposing each other. It is not a square, as the side lengths are unequal. The middle left image is neither. There are not two sets of parallel sides. The middle right image is a square and a parallelogram. All its sides are equal, and it has two sets of opposing parallel sides. The bottom left image is neither. It only has one set of parallel opposing sides, and they are not equal in length. (This is a trapezoid.)The bottom right image is a parallelogram, as it has two pairs of parallel sides opposing each other, and the side lengths are unequal.Only the top right and bottom right images are parallelograms and not squares.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
What is a quadrilateral?A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with parallel and equal opposite sides.
A square is a quadrilateral in which all sides are equal, opposite sides are parallel and each angle measures 90 degrees.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
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The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
Help
Which choice is equivalent to the product below when x > 0
Answer:
D
Hope this help
Step-by-step explanation:
The selling price of a refrigerator, is $537.60. If the markup is 5% of the dealer's cost, what is the dealer's cost of the refrigerator?
The cost price of dealer is $512.
We have to find the dealer's cost of refrigerator.
We know that mark up is on dealer's cost.
We have been given the markup as 5%
Let the dealer's cost of refrigerator be x,
Now, we know that there is a markup on it
So, we will calculate the marked up price
Marked up price = (Cost price * Markup percent)/100 + cost price
Marked up price = x*5/100 + x
Marked up price = 5x/100 + x
Marked up price = x/20 + x = (x+20x)20
Marked up price = 21x/20
We know that marked up price is the selling price and we have been given the selling price of the refrigerator
537.60 = 21x/20
537.60*20 = 21x
10752 = 21x
x = 10752/21
x = 512
The dealer's cost price is $512.
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Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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A frog jumps 9 3/5 feet in the span of 2 2/3 seconds. Express as a complex fraction and then find the unit rate, in feet per second, that the frog is moving at. Express any improper fractions as mixed numbers.
Answer:
3 3/5 feet per seconds
Step-by-step explanation:
If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.
Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:
9 3/5 feet = 2 seconds ... 1
The number of feet per seconds will be expressed as:
x = 1secs.... 2
Divide equation 1 by 2 as shown:
9 3/5 ÷ x = 2 2/3 ÷ 1
48/5x = 8/3
Cross multiply
5x * 8 = 48 * 3
40x = 144
10x = 36
5x = 18
x = 18/5
Express as a mixed fraction:
18/5 = 3 3/5ft/secs
Hence the frog is moving at 3 3/5 feet per seconds
This is about scatter plots and association i just need number 1
The form of association that would be found in the variables would be:
Positive association No association Negative association How to find the association ?As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.
The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.
As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.
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Karlene has $4.75. Which comanation f coins is correct
A. 20 quarters
B. 16 quarters, 5 dimes, 2 nickles
C. 15 quarters, 8 dimes, 4 nickles
D. 12 quarters, 12 dimes
(ANSWERED FOR EASY POINTS:)Which products result in a difference of squares? Select three options.
(x minus y)(y minus x)
(6 minus y)(6 minus y)
(3 + x z)(negative 3 + x z)
(y squared minus x y)(y squared + x y)
(64 y squared + x squared)(negative x squared + 64 y squared)
Answer:
The three options that result in a difference of squares are:
(x minus y)(x plus y)
(6 minus y)(6 plus y)
(64 y squared + x squared)(64 y squared - x squared)
No body helped me the last time so I’m posting it again I really need help with this
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
2 1/2 divided by 5/2
\(\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1\)