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3 years ago

Can someone please help with questions 4 and 5 and explain it to me I’ll appreciate!

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

Hii so I will help you with question 5 because I’m not sure about my answers for number 4
But I’m pretty positive about number 5 it was easy so: 1st step is we need to find how much the faucet fills the bucket per hour then multiply it by three in that way we know how many gallons of water will there be in 30 hours :
21 divided by 7 = 3 gallons of water per hour
So 3 x 30 = 90 gallons of water in 30 hours
So that’s the whole thing I hope you got the whole idea and my explaining was good enough ☺️

alexgriva [62]3 years ago

7 0

Answer for number 4:

4. It will take them 3.5 hours on the fourth day.

Alright, so this is a multistep problem.

1. We need to calculate how many miles they have already traveled.

In order to do that, we multiply the number of hours by the average speed on each day.

- On day 1, they drove 5 hours at an average of 70 mph. 5 * 70 = 350, so they drove 350 miles on the first day.

- On day 2, they drove 7 hours at an average of 65 mph. 7 * 65 = 455, so they drove 455 miles on the second day.

- 350 miles + 455 miles = 805 miles, so they've driven 805 miles so far.

2. We need to figure out how far they have left to travel.

They started out with 1,050 miles, so they've got 245 miles left. 1,050 - 805 = 245.

3. We need to figure out how many hours they've got left to drive.

On the third day, they drive at an average speed of 70 mph, and they've got 245 miles left. to find the amount of time they need to drive, we divide the distance by the speed.

245 miles ÷ 70 mph = 3.5 hours. Therefore, it will take them 3.5 hours to reach their friend's home.

Answer For Number 5:

10 gallons of water will leak out in 30 hours.

This question involves unit rates.

1. We need to figure out how much water leaks out per hour.

- Since 7 gallons of water will leak out in 21 hours, we divide the amount of water by the amount of time it took for it to leak out. The answer will be how much water leaks out in an hour.

- 7 gallons ÷ 21 hours = 1/3 gallon of water. Now we have our unit rate. Every hour, 1/3 gallon of water leaks out.

2. We need to figure out how much water will leak out in 30 hours.

- Since we know how much water leaks out in 1 hour, we can easily figure out how much water leaks out in 30 hours. All we need to do is multiply how much water leaks out in one hour by 30!

- 1/3 gallon * 30 hours = 10 gallons of water.

Therefore, 10 gallons of water will leak out in 30 hours.

I hope this helps!

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What is the length of XZ

Artemon [7]

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

substitute the given values

$XZ^2=12^2+5^2$

$XZ^2=144+25$

$XZ^2=169$

square root both sides

$XZ=13\ units$

6 0

3 years ago

Explain a thought process you might use when trying to find the additive or multiplicative inverse of a number or expression. ..

gizmo_the_mogwai [7]

Definition of additive inverse.- If two numbers are added together and the sum is zero, they are the additive inverse of each other.

......................................... IF A + B = 0 , they are the additive inverse of each other.


Multiplicative Inverse.- If two numbers are multiplied together and the product is one. They are the multiplicative inverse of each other, also called reciprocal. 

......................................... A.B = 1 , they are the multiplicative inverse of each other.


Example of: 

Additive inverses :................ 5 + ( - 5 ) = 0 

Multiplicative inverses...........5 x 1/5 = 1

3 0

3 years ago

1-07 What is the length of the marked portion of each line segment? Copy the

VikaD [51]

Answer:

A. 25 B. 45 C. 30

Step-by-step explanation:

75 ÷ 3 = 25

25 × 1 = 25

75 ÷ 5 = 15

15 × 3 = 45

50 ÷ 5 = 10

10 × 3 = 30

5 0

3 years ago

Is (x+1) a factor off (x)=x3+x2−4x−4? A) Yes B) No

satela [25.4K]

Remainder theorem again...

$p(x)=x^3+x^2-4x-4$

$p(-1)=(-1)^3+(-1)^2-4(-1)-4=0$

So Yes, $x+1$ is a factor.

4 0

4 years ago

Read 2 more answers

James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve

otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, x₁ = 0 and x₂ = 2 deliveries the money earned are y₁ = $5 and y₂ = $9.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2$

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, x₁ = 2 and x₂ = 4 deliveries the money earned are y₁ = $9 and y₂ = $13.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, x₁ = 6 and x₂ = 8 deliveries the money earned are y₁ = $17 and y₂ = $21.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0

3 years ago