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5 months ago

I need help with my math

Mathematics

1 answer:

goldfiish [28.3K]5 months ago

4 0

From the number lines, we notice that 10560 feet are equivalent to 2 miles. Therefore, the ratio is:

$\frac{10560\text{ fe}et}{2\text{ miles}}=5280\frac{feet}{mile}$

Multiplying y 3 miles:

$5280\frac{feet}{mile}\times3\text{ miles=}15840\text{ f}eet$

Therefore, 3 feet is 15840 miles

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24 less than 4 times a number is 60. what is the number?

kondaur [170]

Hey there! :D

Make an algebraic expression.

Let the 'number' equal x.

4x-24= 60

Add 24 on both sides.

4x= 84

Divide both sides by 4.

x=21

The number is 21.

I hope this helps!
~kaikers

8 0

2 years ago

Give a rule of the piecewise-defined function. Give the domain and the range.

dimulka [17.4K]

Answer:

Hello your question is incomplete below is the complete question

option B is correct

f(x) = 1 if x ≤ 0

-2 if x > 0

Step-by-step explanation:

The Rule of the piece-wise-defined function is :

from the given figure attached it can be seen that as : x ≤ 0 , y = 1

while for x > 0 , y = -2

therefore option B is correct

f(x) = 1 if x ≤ 0

-2 if x > 0

3 0

2 years ago

Carlos earns $8 per hour for the first 40 hours that he works during a week. He earns $12 an hour for every hour he works over 4

mash [69]

Answer:

Hi there!

Your answer is:

$440 earned from working a 50 hour week

Step-by-step explanation:

8× 40= $320

Subtract 40 from 50 to determine how many overtime hours he worked!

12× 10 = $120

320+ 120= $440

I hope this helps!

5 0

2 years ago

Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p,

ivolga24 [154]

Answer:

Step-by-step explanation:

Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500

To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;

700 = 1.50n - 500

Add 500 to both sides

700+500 = 1.50n-500+500

1200 = 1.50n

Divide both sides by 1.50

1200/1.50 = 1.50n/1.50

800 = n

Rearrange

n = 800

Hence 800 candy bars must be sold to make $700 profit

7 0

2 years ago

One of Julian's friends also has a rectangular aquarium. The dimensions of his friend's tank are each exactly 1 1/4 times the di

daser333 [38]

Answer:

468.75 square inches

Step-by-step explanation:

Let the length of Julian's tank be x

Let the width of Julian's tank be y

So, Area of Julian's tank= $Length \times Width =xy$

Since we are given that Julian's tank is approximately 300 square inches

So, $xy=300$ --1

Now we are given that The dimensions of his friend's tank are each exactly $1\frac{1}{4} =\frac{5}{4}$ times the dimensions of Julian's tank.

So,length of his friend's tank = $\frac{5}{4}x$

So,width of his friend's tank = $\frac{5}{4}y$

So, Area of his friend's tank= $\frac{5}{4}x \times \frac{5}{4}y$

= $\frac{25}{16}xy$

= $\frac{25}{16}(300)$ (Using 1)

= $468.75$

Hence the approximate area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.

8 0

2 years ago