Answer:
First Equation: 6a-23
Second Equation: 5a-20
Step-by-step explanation:
So, I think you want me to answer part 2...
For the first equation, we can see that the denominator stays the exact same, meaning the numerator will also not change.
For the second equation, we can see the denominator changed from a-3 to 5a-15. The denominator was simply multiplied by 5. Since the denominator was multiplied by five we must multiply the numerator by five as well.
5(a-4)
5a-20
Hope this helps :)
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
Subtract.
-5 – (-4) =
Answer:I think -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
cuz i already did
Determine whether the relationship is linear, quadratic, or neither by completing each table. Be sure to give
a reason for your choice.
The 1st table represents a linear as well as the quadratic relationship, the 2nd table represents neither and the 3rd table also represents neither relationship.
Why do the given tables have the above relationship?The first table is having linear as well as quadratic because the 1st table has its first difference equal as well as the second difference is also equal i.e., why it is linear and quadratic respectively.The second table is having neither because 1st difference is not equal to each other as well as 2nd the difference is also not equal.The third table is having neither because 1st difference is not equal to each other as well as 2nd the difference is also not equal to each other. Therefore, the 3rd table is neither.Hence, the 1st table represents a linear as well as a quadratic relationship, the 2nd table represents neither and the 3rd table also represents neither relationship.
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Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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Select the expression that is equivalent to 48 + 12.
A.
6(8 + 6)
B.
12(4 + 1)
C.
4(44 + 3)
D.
8(6 + 4)
Answer:
B.
Step-by-step explanation:
First in order to solve this problem we need to simplify the answer choices.
A. 6×8 + 6×6 = 48+ 36
B. 12×4 + 12×1=48+12
C. 4×44 + 4×3=176+12
D. 8×6 + 8×4 = 48+32
As you can see there is one expression that is equivalent to 48+12. Answer choice B is correct.
The expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.
What is Expression?An expression is combination of variables, numbers and operators.
To find the expression that is equivalent to 48 + 12, we need to simplify each of the given expressions and find the one that is equal to 60.
Because the value of 48+12 is 60
A. 6(8 + 6) = 6(14) = 84
B. 12(4 + 1) = 12(5) = 60
C. 4(44 + 3) = 4(47) = 188
D. 8(6 + 4) = 8(10) = 80
Out of the given expressions, only expression B simplifies to 60, which is equivalent to 48 + 12.
Therefore, the expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.
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Please help me! 5:34 est answer as soon as you can!!
B because it is the only one were the 'y-coordinate' is not the same for 2 different 'x-coordinates'
hope this helps!!
Jenny and Lester are running the 100 meter dash. Jenny completes it in 15.2 seconds and Lester completed it in 15.7 seconds. What were their speeds and who won the race?
Jenny won the race as she finished the race much more quickly and has greater average speed than Lester.
\(\sf \boxed{\sf speed:\frac{distance}{time \ taken} }\)
Jenny: distance/time = 100/15.2 = 6.58 m/s = 6.6 m/s
Lester: distance/time = 100/15.7 = 6.37 m/s = 6.4 m/s
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
were to have four children altogether? (You may want to use a tree diagram to construct the sample space.)
The probability is
(Type an integer or a simplified fraction.)
Answer: 0.3125.
Step-by-step explanation:
The chance of having a boy is 0.5, the chance of having a girl is also 0.5.Outcome 1: all boys
boy boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 2: first child is a girl, all others are boys
girl boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 3: second child is a girl, all others are boys
boy girl boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 4: third child is a girl, all others are boys
boy boy girl boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 5: fourth child is a girl, all others are boys
boy boy boy girl
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Therefore,
0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125
Use the figure below to answer the following questions.
Complete the statement: triangle AGC~triangle ___?
Complete the statement: triangle CDE~triangle ___?
What is m
What is m
What is BC?
What is DE?
Were the above figure is given, the complete sentence with regard to the triangles are
ΔAGC ~ ΔCDF
ΔCDE ~ ΔCAB
And, the length of BC is, 51
The length of DE is, 132.7
How is this so?We have to given that;
⇒ CF = 32
Hence, We get;
tan 24 = CF / DF
0.44 = 32 / DF
DF = 72.7
Thus, ΔAGC ≈ ΔCDF
Here, We have;
⇒ ΔCDE ≈ ΔCAB
In triangle BCG;
BC² = 24² + 45²
BC² = 576 + 2025
BC² = 2601
BC = 51
In triangle CEF;
⇒ EC² = CF² + EF²
⇒ 68² = 32² + EF²
⇒ 4624 = 1024 + EF²
⇒ EF² = 4624 - 1024
⇒ EF² = 3600
⇒ EF = 60
Thus, We get;
DE = DF + EF
DE = 72.7 + 60
DE = 132.7
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5th grade math. correct answer will be marked brainliest
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a 3, 5, or 7?
one fifth
one third
3 over 10
6 over 13
This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%. The answer is: 6 over 31.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability can be expressed as a fraction, decimal, or percentage.
The question asks for the experimental probability of drawing a 3, 5, or 7 from a deck of cards, given the frequency table provided.
The frequency table tells us how many times each card was drawn out of a total of 100 draws.
To calculate the frequency of drawing a 3, 5, or 7, we add the frequencies of these cards: 4 (for 3) + 6 (for 5) + 6 (for 7) = 16. Note that we do not include the frequencies of any other cards.
To calculate the probability of drawing a 3, 5, or 7, we divide the frequency of these cards (16) by the total number of draws (100): 16/100 = 0.16. This means that in our experiment, we drew a 3, 5, or 7 approximately 16% of the time.
The total number of draws is 100, and the frequency of cards 3, 5, and 7 is 7+6+6=19.
Therefore, the experimental probability of drawing a 3, 5, or 7 is:
19/100 = 0.19
This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%.
Therefore, the answer is: 6 over 31.
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36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3
A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter
Answer:
88
Step-by-step explanation:
375 is 60% of what number
Answer:
625
Step-by-step explanation:
60% x x = 375
you would multiply both sides by 100 and divide both sides by 60 so
×=625
Hope this helps!
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Enter your answer in the box.
Answer:
Your answer is 4 Years!
Answer: 4 Years
Step-by-step explanation: Just to confirm the other person it is 4 years!
PLS ANSWER THIS MATH PROBLEM!!
For the linear function y = 2/3x + 1, we have that:
a) The slope is of 2/3 and the intercept is of 1.
b) The y-intercept is marked at y = 1 on the y-axis.
c) Using the slope and the intercept, point (3,3) is the second point used to graph the function.
d) The graph of the linear function y = 2/3x + 1 is given at the end of the answer.
What is the definition of a linear function in slope-intercept format?A linear function, in slope-intercept format, is modeled as follows:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).For this problem, the function is:
y = 2/3x + 1.
Then, form item a, we have that:
The slope is of m = 2/3.The intercept is of b = 1.For item b, the y-intercept of b = 1 means that the function crosses the y-axis at b = 1.
For item c, we have to consider that the slope is of 2/3, meaning that when y increases by 2, x increases by 3. Point (0,1) is on the graph of the function, hence point (3,3) will also be, as x increases by 3 from 0 to 3 and y increases by 2 from 1 to 3.
Considering the discussion above, the graph of the function is given at the end of the answer, with the intercept and point (3,3) labeled.
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Find the area of the figures given
Answer:
A: 12.5
B: 36
C: 40
D: 88
Step-by-step explanation:
those are the answers
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Hi please answer 7-10 I will give you brainlst <3 and extra points .
Answer:
7) -1.75
8) 2
Step-by-step explanation:
7) m=-7/4 =-1.75
8)M m=8/4 = 2
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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If A={1,3,7,8,9}, B={2,5,8,11}, and C={1,3,5,7,9}, then what is (A∪C)∩B?
Given:
A = {1, 3, 7, 8, 9}, B = {2, 5, 8, 11}, C = {1, 3, 5, 7, 9}
Required: (A∪C)∩B
Explanation:
First, find A∪C.
A∪C is the set of all elements in A or B.
\(\text{ A}\cup C=\lbrace1,3,5,7,8,9\rbrace\)Now, take the intersection of A∪C with the set B.
The intersection of two sets A and B is the set of elements common in both sets A and B.
The elements common in A∪C and B are 5 and 8.
\((A\cup C)\cap B=\lbrace5,8\rbrace\)Final Answer: (A∪C)∩B = {5, 8}
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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Complete the table to investigate dilations of
exponential functions.
2
2*
3-2
23.x
-2
1
4
3
4
64
1
8
-1
2
2 3 4
0
a
c
d
e
1
2
4.
12
64
Answer: itz 780
Step-by-step explanation:
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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Students from Texas, New York, Washington, Florida, and Utah identified their area of concentration at various universities. The results are listed in the table.
One of these students is selected at random. What is the probability that the student is from the state of Washington under the condition that the student studies history?
Enter a number in the box.
The probability of a random student who is from Washington and studies history is \(\frac{5}{33}\).
What is probability?Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.
Given, the total number of students of History
= (30 + 17 + 20 + 32 + 33) = 132
The number of students from Washington who studies history = 20.
Therefore, the probability that the student is from the state of Washington under the condition that the student studies history is = \(\frac{20}{132} = \frac{5}{33}\) .
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use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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If f(x) = 4 – x^2 and g(x) = 6x, which expression is equivalent to (g- 1)(3)?
Answer:
the value of g
Step-by-step explanation: