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nirvana33 [79]
3 years ago
11

Scar travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0
666545hggffjjjffdxcnbhggcfdvbhhggg
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(08.03) Consider the following pair of equations:
Luba_88 [7]

Substitution method is used to solve the linear system of equations for one or more variables.

Consider the first equation y = 3x + 3 -----(1)

In equation (1) plug in y=x-1, we get

x -1 = 3x + 3

Add -3x on both side , we get

x-3x -1 = 3x-3x +3

-2x-1=0 + 3

Now add +1 on both sides, we get

-2x-1+1= 3+1

-2x + 0 =4

Now divide both side by -2

-2x/-2= 4/-2

X= -2

Now put x=-2 in the the second equation,

y=x-1

y=(-2)-1

y=-3

Solution(-2,-3)

6 0
3 years ago
What is the slope of the line that passes through the points (9,−10) and (3,−13)? Write your answer in simplest form.
Darina [25.2K]

Answer:

1/2.

Step-by-step explanation:

The slope = rise/run

= (-13 - (-10)) /   (3 - 9)

= -3 / - 6

= 1/2.

6 0
3 years ago
Read 2 more answers
Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2.
xxTIMURxx [149]

Answer:

x => y

0 => 0

2 => 3

4 => 6

-2 => -3

Step-by-step explanation:

The equation of a proportional relationship is represented as y = kx,

where, k = y/x

We are given that k = ³/2

This means that, equation of the relationship therefore would be:

y = ³/2x

Use this equation to solve for each missing value on the table given:

✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:

0 = ³/2x

0 * 2 = 3x

0 = 3x

0/3 = x

x = 0

✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:

y = ³/2(2)

y = 3

✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:

6 = ³/2x

6 * 2 = 3x

12 = 3x

12/3 = x

x = 4

✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:

y = ³/2(-2)

y = -3

5 0
3 years ago
Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correct
SVETLANKA909090 [29]

Answer: 20% increase

Step-by-step explanation:

change/ original number

(60 - 50 / 50) x 100 = 20

20%

5 0
3 years ago
Read 2 more answers
What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

3 0
2 years ago
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