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3 years ago

11

A family pass to the amusement park costs $54 Using the Distributive Property,write an expression that can be used to fine the c

ost in dollars of 8 family passes

1 answer:

snow_lady [41]3 years ago

7 0

X represents the amount of children's tickets
y represents the amount of adult's tickets

8(x+y) = 54

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Lines l and m are parallel

soldi70 [24.7K]

Answer:

m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

m∠ABC = x°
m∠BCD = 25°
m∠CDE = 55°
m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

m∠BCD - m∠ABC = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

25 - x = 55 - 3x
3x - x = 55 - 25
2x = 30
x = 15

m∠ABC = 15°

4 0

3 years ago

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

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3 years ago

Three companies sell their apple juice in different sized bottles jada is calculating the unit prices of each bottle and will co

kati45 [8]

The answer is dividing each bottle size by its cost I took the test and I got it right <span>
</span>

4 0

3 years ago

Read 3 more answers

If John owes 300 dollars and pays 50 a week what are the dependent and independent variables

podryga [215]

300 dollars would be the independent variable and 50 dollars a week is dependent

7 0

3 years ago

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0

3 years ago