Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team and the wrestling team at Newberry High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. The wrestling team has raised $84 in the past, and they are making $1 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. What will that total be? How many cars will that take?

Answers

Answer 1

Answer:

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

For both amounts to be equal, the number of cars would be

4x + 24 = x + 84

4x - x = 84 - 24

3x = 60

x = 60/3

x = 20

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A small tree was planted at a height of 7 feet. The tree has been planted for 14 months, and is now 56 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?A. 7x + 14 = 56

B. 14x + 7 = 56

C. 14x + 56 = 7

D. 56x + 7 = 14

Answers

B. 14x + 7 = 56

......

Calculate the volume of the cylinder

Answers

Answer:

200 m³

Step-by-step explanation:

The volume of cylinder = π · r² · h

We Know

Area of circle = 25 m²

h = 8 m

We take

25 x 8 = 200 m³

So, the volume of the cylinder is 200 m³.

Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers

Answers

Answer:

$x {}^(2) - 8x + 5 \n = x {}^(2) - 8 x+ 5 + 11 - 11 \n = x {}^(2) - 8x +16 - 11 \n = (x - 4) {}^(2) - 11 \n$

A is 4 and b is 11

True or false An invalid statistical test measure may have questions that are misinterpreted.

Answers

Answer: True.

Step-by-step explanation: The motive of all statistical tests is to check whether all the variables or unknown quantities we are using in the test are independent of each other or are related among themselves.

Also, when we write an article, we should always check whether the statistical test we are using is suitable for the type of data concerned or not.

Furthermore, if a statistical test come out to be invalid, then it may be possible that there are some questions that are misinterpreted.

Thus, the answer is true.

True. An invalid statistical test measure may have questions that are misinterpreted.

According to the Rational Roots Theorem, which statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 is true?Any rational root of f(x) is a multiple of –49 divided by a multiple of 25.

Any rational root of f(x) is a multiple of 25 divided by a multiple of –49.

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

Any rational root of f(x) is a factor of 25 divided by a factor of –49.

Answers

Answer:

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

Step-by-step explanation:

The Rational Root Theorems states that :

If the polynomial $P(x)= a _nx^n +{a_(n-1)x}^(n-1)+............{a_(2)x}^(2)+{a_(1)x}^(1)+a_0$ has any rational roots, then they must be in the form of

$\pm (factors of a_0)/(factors of a_n)$

Consider the polynomial

$f(x)=25x^7-x^6-5x^4+x-49$

in this case, we have $a_0=-49$ and $a_n=25$

Any Rational root of f(x) is a factor of $a_0=-49$ divided by a factor of $a_n=25$

According to the Rational Roots Theorem, the statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 which is true is:

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

The key points are "factors", and "ratio between the constant term and the coefficient of the highest order (exponent) term"

The distribution of the weights of a sample of 1,500 cargo containers is symmetric and bellshaped. According to the Empirical Rule, what percent of the weights will lie: a. According to the Empirical Rule, what percent of the weights will lie between formula73.mml b. According to the Empirical Rule, what percent of the weights will lie betweenformula75.mml and student submitted image, transcription available below+1s c. Below formula75.mml-1s

Answers

Answer:

Step-by-step explanation:

According to the Empirical Rule, for a symmetric and bell-shaped distribution:

a. Approximately 68% of the weights will lie between formula73.mml. This means that about 34% of the weights will lie to the left of formula73.mml, and about 34% of the weights will lie to the right of formula73.mml.

b. Approximately 95% of the weights will lie between formula75.mml and formula75.mml +1s. This means that about 47.5% of the weights will lie to the left of formula75.mml +1s, and about 47.5% of the weights will lie to the right of formula75.mml.

c. Approximately 68% of the weights will lie below formula75.mml-1s. This means that about 34% of the weights will lie to the left of formula75.mml-1s.

These percentages are approximate values based on the Empirical Rule and provide a general understanding of the distribution of the weights in a symmetric and bell-shaped distribution.

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