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3 years ago

15

Sarah's sister has two summer jobs. The first job pays her $11 per hour. The second job pays her $14 per hour. In one month, she

works 23 hours at the first job and 18 hours at the second job.
How much money did Sarah's sister earn that month?

Enter your answer in the box.

$

1 answer:

telo118 [61]3 years ago

3 0

$505 . 11 times 23 =253 . 14 times 18=252. When you add them you get $505

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Mike is driving a Toyota Camry. He’s inflated his tire to the dealer-recommend level of 32 PSI. At what speed will Mike’s car st

nata0808 [166]

Answer:

Part A

A speed of approximately 58.55 mph

Part B

A pressure of approximately 18.9 psi

Step-by-step explanation:

Part A

The parameter for the car are;

The tire pressure, p = 32 psi

The given equation determined for the speed, 'v', when a car will start hydroplaning is presented as follows;

v = 10.35·√p

Where;

v = The speed at which the car is moving when it will hydroplane in mpj

p = The pressure in the tire in psi

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi is therefore;

v = 10.35 × √(32 psi) ≈ 58.55 mph

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi, v ≈ 58.55 mph

Part B

When a car is moving at, v = 45 mph, we have;

v = 10.35·√p

∴ The pressure in the car tire, p = (v/10.35)²

∴ at p = 45 mph, we have;

p = (45 mph/10.35)² ≈ 18.9 psi

The tire pressure at which Mike's car start hydroplaning, p ≈ 18.9 psi

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3 years ago

It took Juan 6.5 minutes to eat 3.25 sandwiches. How many sandwiches did he<br> eat per minute?

Leona [35]

Answer:

he ate .5 of a sandwich per minute

Step-by-step explanation:

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3 years ago

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Answer: Y= X+4•2

Word form: Y equals X plus 4 times 2

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Answer:

a) (7,8)

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Step-by-step explanation:

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we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

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b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

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radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

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Answer:

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3 years ago