A train can travel 1136 miles in 4 hours. what is the unit rate that this train is traveling per hour? _____ miles per hour

Answers

Answer 1
Answer:

Good Morning

4hours .........1136 miles

1 hour ...........x

Cross-Multiply

4x= 1136*1

4x= 1136

x= 1136/4

x= 284

The train is traveling 284 miles per hour


I hope that's help !


Happy Sunday :)


Answer 2
Answer:

Final answer:

To find the unit rate of the train's speed, divide the total distance traveled by the total time taken.

Explanation:

To calculate the unit rate at which the train is traveling per hour, you can apply a straightforward formula: divide the total distance covered by the total time taken. In this specific instance, the train covered a distance of 1136 miles within a time frame of 4 hours.

So, the unit rate for the train's speed is determined as follows:

Total distance traveled (1136 miles) divided by the total time taken (4 hours) equals 284 miles per hour.

This unit rate, expressed as 284 miles per hour, is a crucial metric for assessing the speed at which the train is moving. Understanding unit rates is valuable not only in transportation but also in various fields like economics, physics, and everyday calculations where quantities are compared with respect to time.

Learn more about Unit Rate here:

brainly.com/question/22607023

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15 yards to 18 yards

Answers

15:18 simplified is 5:6 yarrds
15 yd/ 18 yd
= 15/18
= (15/3) / (18/3)
= 5/6

The final answer is 5/6~

A rectangular box has dimensions 4 by 5 by 2 . Increasing each dimension of the box by the same amount yields a new box with volume six times the old. Use the ALEKS graphing calculator to find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.

Answers

Answer:

2.68 units

Step-by-step explanation:

We are given that a rectangular box has dimensions 4 by 5 by 2.

We have to find that how much each dimension of the original box was increased to create the new box

Let x be the  increased value  in each dimension

We know that volume of rectangular box=lbh

Volume of original box=4* 5* 2=40 cubic units

Volume of new box =6* 40=240 cubic units

Dimension of new box=(x+4)(5+x)(2+x)

Volume of new box=240

(x+5)(x+4)(x+2)=240

x^3+11x^2+38x+40-240=0

x^3+11x^2+38x-200=0

By graph we get

x=2.679

Round to two decimal places then we get

x=2.68

Hence, each dimension was increased by 2.68 units

Which of the following is an extraneous solution of square root -3x-2=x+2?a) x = –6
b) x = –1
c) x = 1
d) x = 6

Answers

Hello,

Answer A (x=-6 is an extraneous solution)

√(-3x-2)=x+2
==>-3x-2>=0
==>x<= -2/3

So -3x-2=(x+2)²
==>-3x-2=x²+4x+4
==>x²+7x+6=0
==> (x=-6) or (x=-1)

if x=-6 then
√(-3*(-6)-2)=√16=4
-6+2=-4
False 4≠-4

if x=-1
√(-3*(-1)-2)=√1=1
-1+2=1
ok..


Answer:

A. x=-6

Step-by-step explanation:

i got it right on edge

Write an equation to represent the points (-4 4) (4 -3)

Answers

I really hope this helps you.You walk backwards 4 steps and you then walk forwards 4 steps.I have 4 dollars and I owe someone 3 dollars..

Voluntary deductions include ____. (1 point)

Answers

Answer:

B

A

D

C

Extra:

1. Salaried employees are _____. (1 point)

B) (1pt) paid a set amount for a set number of work hours

2. Voluntary deductions include ____. (1 point)

A) (1pt) health insurance premiums

3. You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?(1 point)

D) (1pt) $15.00/hour and a $2,000 bonus at the end of the year

4. You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?(1 point)

C) (1pt) $30,000/year with a 10% bonus

Voluntary deductions include, payroll, benefits, parking, IMA, Husky Card, and gift account offices.

A triangle has an area of 20 cm2. If its base is 40% of its height, what is its height to the nearest tenth of a centimeter?

Answers

Answer:

10cm

Step-by-step explanation:


Let's call the base a and the height h
a.h/2 = 20
a.h = 40
2/5h.h = 40 (because a = 40%h)
h^2 = 100
h = 10
a = 4