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3 years ago

Two different families pay for entry into a water park.

Mathematics

1 answer:

icang [17]3 years ago

6 0

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

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∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A

KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x - 3x Subtract 3x from both sides

2x - 18 = 42

+ 18 + 18 Add 18 to both sides

2x = 60 Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18 Multiply

∠A = 150 - 18 Subtract

∠A = 132 degrees

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2 years ago

In a prior sample of corn, farmer Carl finds that 14% of the sample has worms but the margin of error for his population estimat

Savatey [412]

Answer: 741

Step-by-step explanation:

As per given ,we have

The prior estimate of population proportion: $p=0.14$

Margin or error : 2.5%=0.025

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

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

i.e. $n=0.14(1-0.14)(\dfrac{1.96}{0.025})^2$

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3 years ago