A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?

Answers

Answer 1

Answer: 60 min = 1 hour

1st we need to know how many times 20 goes in 60 so we will divide.

60 ÷ 20 = 3

Now we will multiply to find the trains speed in miles per hour.

3 × 25 = 75

SO, the train travels 75 miles per hour.

Hope I helped ya!!

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Solve to find the value of x. 40-x/3 = 4+x

Answers

$(40-x)/(3) = 4 + x \n \n 40 - x = 12 + 3x \n \n 40 = 12 + 3x + x \n \n 40 = 12 + 4x \n \n 40 - 12 = 4x \n \n 28 = 4x \n \n (28)/(4) = x \n \n 7 = x \n \n x = 7 \n \n Answer: \fbox {x = 7}$

$(40-x)/(3) = 4 + x\n\n40 - x = 3(4 + x)\n\n40 - x = 12 + 3x\n\n40 = 12 + 4x\n\n4x = 28\n\n\boxed{\bf{x=7}}$

The missing number in the series 9, ____, 6561, 43046721 is:

Answers

Hello,

The sequence is:

3²,x,3^8,3^16

==>x=3^4=81

An appliance store sells lamps at $95.00 for two. A department store sells a similar lamp at five for $250.00 What is the cost for 1 lamp at the appliance store?

Answers

Answer:

47.5 per 1 lamp

Step-by-step explanation:

First, we can ignore the info about the department store because it is useless. Now, for the appliance store, we now that it sells lamps for 95 dollars per 2 lamps. 2 lamps equal 95, and it is asking how much does 1 cost. We can simply divide. So, 95/2= 47.5 dollars

A chef has 1/2 a pound of flour to divide equally into two containers. How much flour will be in each container?

Answers

There is 1/4 flour will be in each container

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that A chef has 1/2 a pound of flour

The chef has to divide 1/2 a pound of flour to two containers equally.

We need to find how much flour will be in each container.

Which means we have to divide 1/2 by 2.

(1/2)/2

One by two whole divided by 2

1/2 is the numerator and 2 is the denominator

=1/2×2

=1/4

Hence, there is 1/4 flour will be in each container

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Answer:

1/4

Step-by-step explanation:

Proof:
Given: Isosceles trapezoid TRAP with TR=PA
Prove: Angle RTA = angle APR

Answers

The answer is in the attachment

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answers

Let y be the number of strength-training exercises per week.
Let x be the number of aerobic exercises per week.
For the beginner plan:
15y + 20x = 90 ..........(1)
For the advanced plan:
20y + 30x = 130 ........(2)
Multiply both sides of (1) by 3 to get:
45y + 60x = 270 ........(3)
Multiply both sides of (2) by2 to get:
40y + 60x = 260 .......(4)
Subtracting (4) from (3) we get:
5y = 10
y = 2
Plugging in the value of 2 for y in equation and solving, we find x = 3.
Therefore the correct statement is:
"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

How to Solve Algebra Word Problems?

Let y be the number of strength-training exercises per week.

Let x be the number of aerobic exercises per week.

For the beginner plan, the equation would be gotten as;

15y + 20x = 90 ------(eq 1)

The equation to represent the advanced plan would be;

20y + 30x = 130 -------(eq 2)

Multiply both sides of eq 1 by 4 to get:

60y + 80x = 360 ------(eq 3)

Multiply both sides of eq 2 by 3 to get:

60y + 90x = 390 ------(eq 4)

Subtract eq(3) from eq(4) we get:

10x = 30

Thus; x = 3

Then; 15y + 20(3) = 90

15y = 30

y = 2

Thus, the correct statement is:

"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."

Read more about Algebra Word Problems at; brainly.com/question/4344214

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