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Alex787 [66]
3 years ago
7

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x

Mathematics
2 answers:
posledela3 years ago
6 0

For this case we have the following equation:

4x + 12 = 48

Where the variable "x" represents the cost of a performance ticket.

Clear "x" of the equation to know the cost of a ticket.

Subtracting 12 on both sides of the equation:

4x = 48-12\\4x = 36

Dividing between 4 on both sides of the equation:

x = \frac {36} {4}\\x = 9

So, the cost of a ticket is $ 9.00

Answer:

Option C

BARSIC [14]3 years ago
3 0

Answer:

$9.00

Step-by-step explanation:

4x + 12 = 48         - First, subtract 12 from each side of the equation.

4x = 36                 - Then, divide each side by 4 to get x by itself.

x = 9                     - After dividing by 4, we are left with x = 9, so 1 ticket costs

                              $9.00

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A cylinder with radius 3 feet and height 5 feet is shown.
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Answer:

The volume of the cylinder is <u>141.23 cubic feet </u>

Step by step explanation :

<u>Given</u>-

  • Radius of cylinder = 3 feet
  • Height of cylinder = 5 feet

Now, we know that

<h3>\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}</h3>

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = \frac{22}{7}  \times  {3}^{2}  \times 5

=  \frac{22}{7}  \times 3 \times 3 \times 5

<h3>=   \frac{990}{7}</h3>

= 141.428571 ( approximately )

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6 0
2 years ago
What are factors of 112? Explain your reasoning.
blondinia [14]

Answer:

1,2,4,7,8,14,16,28,56,112

Step-by-step explanation:

12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14

3 0
3 years ago
?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

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3 years ago
A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711 , the explaine
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Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

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