A truck driver drove his truck at an average speed of 45 miles per hour for 3 hours. A bus driver drove an average speed of 50 miles per hour for 5 hours.

Which explanation correctly tells how to find the difference in the distances they drove?

A.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Add the two quotients.

B.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Subtract the two quotients.

C.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Add the two products.

D.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Subtract the two products.

Given:

A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.

To find:

The total volume of the composite figure.

Solution:

To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.

The volume of a cylinder, [tex]V= \pi r^{2} h.[/tex]

The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.

The volume of the cylinder, [tex]V = (3.14)(3.9^{2} )(4.3)= 205.36542[/tex] cubic units.

The volume of a half-sphere, [tex]V= \frac{2}{3} \pi r^{3} .[/tex]

The given half-sphere has a radius of 3.9 units, assume π equals 3.14.

The volume of the half-sphere, [tex]V= \frac{2}{3} (3.14)(3.9^{3} ) = 124.17444[/tex] cubic units.

The total volume of the composite figure [tex]= 205.36542+124.17444=329.53986[/tex] cubic units.

Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.

Step-by-step explanation:

x2 - 4x - 12

Finding factors of 12 then

x2 - 6x + 2x - 12

x( x - 6) + 2 (x - 6)

So the factors are (x+2) (x-6)

Answer: x- 6

Step-by-step explanation: i did it

Answer:

Step-by-step explanation:

x² + 5x + 4 =0

Product =4

Sum = 5

So, factors = 4*1

x² + 1x + 4x + 4*1 = 0

x*(x + 1) + 4*(x + 1) = 0

(x + 1)(x + 4) = 0

Answer:

The answer is 4 cookies

Answer: I believe the answer is 14.04

Step-by-step explanation:

When you divide 3.24 into 3 it gives you 1.08 then multiply it by 13 to get 14.04

Answer:

14.04

Step-by-step explanation:

You have 3 apples. Those 3 apples cost 3.24. He also wants to buy 13 MORE. You find the answer for doing a diagram like this:

A- 3 A- 13

$- 3.24 $- ?

Step 1. Do the diagram and fill it out.

Step 2. Multiply 13 and 3.24

(You get 42.12)

Step 3. Divide the answer (42.12) by 3

(You get 14.04)

And thats how you get the answer.

Answer:

Step-by-step explanation:

The given expression is

[tex]a_{k}=8+(k-1)2[/tex]

Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].

The number of stitches in the n row are expressed as

[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]

Therefore, the n row has [tex]2n+6[/tex] stitches.

Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.

Answer:

1st question: C

2nd : 8

3rd : 46

4th : 540

Answer:

u= 0.26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for u by simplifying both sides of the equation, then isolating the variable.

Answer:

5

Step-by-step explanation:

Between each number there is a change of 5 in the negative direction

Answer:

5

Step-by-step explanation:

Answer:

dependent events are if the outcome of one event affects the outcome of another

Answer:

3 PM

Step-by-step explanation:

1.30 + .30 + 1  =

3

Answer:

3:00 pm

Step-by-step explanation:

Time spent video games 30 minutes

Time spent homework 1 hour

Total time 1 hour 30 minutes

Starting at 1 :30

Add 1 hour 30 minutes

1:30

+1:30

--------------

2:60

But 60 minutes is 1 hour  so change the 60 minutes to 0 and add 1 hour

3:00

We started at pm we did not pass over 12 so we are still at pm

3:00 pm

Answer:

6 feet

Step-by-step explanation:

The area of a square is:

a=s^2, where s is the side

We know the area is 36, so we can substitute that in

36=s^2

Take the square root of both sides

6=s

s= 6 feet

One side is 6 feet, so that is how long the board should be cut.

Answer:

 a = -2/5 = -0.400

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

The equation 2x² - 6x - 20 = 0 is in standard form for a quadratic formula.

The general equation for standard form is: y = ax² + bx + c

Sometimes we make "y" => 0 when we are finding the roots (x-intercepts).

Notice "a" is attached to x² in the standard form.

In your question, the number attached to x² is 2.

∴ a = 2

We can substitute I with 120 since that's how much he made in one day.

120 = 7n + 50

~Subtract 50 to both sides

120 - 50 = 7n + 50 - 50

~Simplify

70 = 7n

~Divide 7 to both sides

70/7 = 7n/7

~Simplify

10 = n

Therefore, the saleman made 10 sales.

Best of Luck!

Answer:

Answer:

Part 1) m∠EOD=20°

Part 2) m∠AOD=80°

Step-by-step explanation:

Part 1) Find the measure of angle EOD

we know that  °

m∠EOD=m∠EOX-m∠DOX

we have

Observing the figure

m∠EOX=140°

m∠DOX=120°

substitute

m∠EOD=140°-120°=20°

Part 2) Find the measure of angle AOD

we know that  °

m∠AOD=m∠DOX-m∠AOX

we have

Observing the figure

m∠AOX=40°

m∠DOX=120°

substitute

m∠AOD=120°-40°=80°

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use distributive property. distribute the 2 into both numbers by multiplying them both by 2 and you get 2x + 14

Answer:

I believe the answer is (C) 2x+14.

You have to distribute the 2 and multiply it to the x and the 14.

Step-by-step explanation:

Multiply the x by the 2 to get 2x

multiply the 7 by the 2 to get 14

so the equation is: 2x + 14

I hope this is correct.

Answer:

x=25/2

Step-by-step explanation:

8-2x-8=-17-8

-2x=-25

-2x/2= -25/2

Answer:

x=5 or x=−5

they both work

Answer:

18 months

Step-by-step explanation:

27.50+12x=243.50 let x represent amount of months

subtract 27.50 from both sides

12x=216 divide

18 months

The solution is 18 months

The number of months Landon used the streaming service is given by the equation x = 18 months

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of months be x

A streaming video company charges $27.50 to set up an account and $12 per month to enjoy the service

Let the total cost be represented as y

Landon paid a total price of less than $243.50 ,

So , the value of y = $ 243.50

The inequality equation is 12x + 27.50 < 243.50

12x + 27.50 < 243.50   be equation (1)

On simplifying the equation , we get

Subtracting 27.50 on both sides of the equation , we get

12x < 216

Divide by 12 on both sides of the equation , we get

x < 18

So , the value of x = 18 months

Hence , the number of months is 18 months

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

Answer:

17

Step-by-step explanation:

i think it was like the hypotenuse should be shorter than the other two sides sum.

Answer:

Step-by-step explanation:

Let x = the age of Thomas

Let x + 6 = the age of Huilan

x + x + 6 = 70

2x + 6 = 70

2x = 64

x = 32 years

x+6 = 38 years

I believe the answer is b

Step-by-step explanation:

i think the second one maybe

Answer:

1 solution

Step-by-step explanation:

The lines intersect 1 time

Answer:

1 solution

Step-by-step explanation:

The intersection is the one solution.

Answer:

X = 12

Step-by-step explanation:

42 + 48 = 90 degree angle

4 x 12 = 48

The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.

In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.

The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.

Therefore, the correct identification is: The population is 570. The sample is 300.

Answer:30

Step-by-step explanation:add all the sides

The correct option is The mode for the students is 2 and the mode for the teachers is 4.

To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.

 For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.

 Comparing the modes of the two data sets, we have:

- Mode for students: 2

- Mode for teachers: 4

The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.

Answer:

Top left box

Step-by-step explanation:

In a function the values cannot repeat

Answer:

8 weeks

Step-by-step explanation: