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Anna11 [10]
3 years ago
13

Four times a number is three times the difference of that number and one

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer: the number is -3

Step-by-step explanation:

Four times a number is three times the difference of that number and one

Let the number be x. Four times the number means 4×x = 4x

three times the difference of that number and one. This means

Difference of the number and one is (x-1). Three times the difference of the number and one would be 3(x-)

Four times a number = three times the difference of that number and one. Therefore,

4x = 3(x-1)

Opening the bracket

4x = 3x -3

4x-3x = -3

x =-3

Check

4×-3 =3(-3-1)

-12 = -3×4

-12 = -12

So the number is -3

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The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left t
nikitadnepr [17]

Answer:

(b) For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

Given

(x_1,y_1) = (0,350) ---- start

(x_2,y_2) = (7,0) --- end

Required

Which is true

(a): Journey = 6 hours

This is false, because:

x = x_2 - x_1

x = 7-0

x = 7 ---- 7 hours

(b): The average rate is 50 miles per hour

To do this, we calculate the slope (m) using:

m = \frac{y_2 -y_1}{x_2- x_1}

m = \frac{0 - 350}{7-0}

m = -\frac{350}{7}

m = -50

This means that the rate is 50 miles driven in 1 hour.

<em>(b) is correct</em>

<em></em>

<em>Others are incorrect</em>

7 0
3 years ago
80% of x is equal to 100. Write an equation that shows the relationship of 80%, x, and 100
wariber [46]

Answer:

<u>The number is 125 and the equation is 0.8x = 100</u>

Step-by-step explanation:

80% of x is equal to 100.

Write an equation that shows the relationship of 80%, x, and 100

80% = 0.8

0.8x = 100

x = 100/0.8

x = 125

<u>The number is 125 and the equation is 0.8x = 100</u>

4 0
4 years ago
Compare the wins-to-losses ratios for the teams
Karo-lina-s [1.5K]
Tigers...I think but im not really sure
8 0
3 years ago
Read 2 more answers
An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is
r-ruslan [8.4K]

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

:

Let t = no. of hrs to run the Aux pump

:

The main pump will run 4 hr (7 - 11 pm)

:

Let the completed job = 1; (an empty Tanker)

:

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

:

2.8 hr = 2 + .8(60) = 2 hrs 48 min

:

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1

6 0
3 years ago
(04.01) Which unit rate is equivalent to 17 miles per gallon?
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It should be 51 miles over 3 gallons.
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3 years ago
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