Write a justification for each step...

Answer:

x=1/2

y=-1/2

Step-by-step explanation:

x = y+1

x = 3y+2

Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.

As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.

For this, I will show you by plugging in the bottom equation for the top equation.

x = y+1

x = 3y+2

As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.

3y+2 = y+1

From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.

So, subtract y from both sides.

(3y-y)+2 = (y-y)+1

Rewrite the equation.

2y+2 = 1

Remember, the goal is to get the "y" BY ITSELF.

There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.

2y+(2-2)=(1-2)

When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.

Keep the 1.

Flip the - to a +

Flip the 2 into a -2.

So you get 1+(-2) which is -1. Now, rewrite the equation.

2y=-1

You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.

y=-1/2

Now, use this value to plug into your ORIGINAL equations (you can pick either)

x = y+1 OR x = 3y+2

x= -1/2 + 1

x=1/2

(1/2, -1/2)

Answer:

55 cookies in 80 mins

Step-by-step explanation:

1 hour has 60 mins

so 25/60=0.417

0.417/3=0.139

0.139x4=0.556

so he can eat 55 cookies in 80 mins

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

P = 2L + 2W

Sustract 2W on both sides:

P-2W= 2L

Divide both sides by 2:

(P-2W)/2 = L

L= (P-2W)/2

Answer:

Step by step explanation::

Answer:

83.31370849

Step-by-step explanation:

I got you get the 100

Answer:

slope is 4

Step-by-step explanation:

Answer:

alternate interior angles

amd lines are parallel

so 21x+4 and 23x-4 are congruent

Answer:

-3(2+7) = -27

Step-by-step explanation:

Step 1: Solve Original Equation = -27

Step 2: Solve the Rest. A) 6 + 21= 21

                                      B)  -21 + 6= -15

Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.

Answer:

30

5 X 3 ÷ 8 + 3 X 2/5

= 15/11 X 2/5

(Take LCM of 5 and 11. LCM - 55)

15 X 5. 75

_____ =. ___

11 X 5. 55

2 X 11. 22

_____ =. ___

5 X 11 55

75 X 25. 1650

______ = ______

55. 55

= 30

Answer:

B and C

Step-by-step explanation:

-√16 is both an Integer and a Rational number.

Answer: The answer is (-1,-3) :)

Step-by-step explanation:

Mark me as brainlest please

Answer:

x=3

6x-3 = 15

Step-by-step explanation:

The sides with the lines means they are the same length

The perimeter is

6x-3  + 6x -3  + 32 = 62

Combine like terms

12x+26=62

Subtract 26 from each side

12x+26-26 =62-26

12x =36

Divide by 12

12x/12 = 36/12

x = 3

The missing side length 6x-3 = 6*3 -3 = 18-3 = 15

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

Answer:

D=  $135

Step-by-step explanation:

We have to use proportions in order to figure this out. We know that 15% is equal to 15/100.

work:

15/100=x/900.

We cross multiply so its 13,500/100. This is not the answer so we divide which equals to $135

Answer:

option . D

Step-by-step explanation:

The reason for this is because it is turned around which is able to be turned around and have the same answer in the end.

Answer:

1.5

- 3/4

Step-by-step explanation:

To find the opposite of a number, you just have to either add or remove a negative sign.

- 1.5 is negative, so the opposite of negative 1.5 is positive 1.5 or 1.5

3/4 is positive, so the opposite of positive 3/4 is negative 3/4 or - 3/4

I Hope That This Helps! :)

Answer:

1.5

- 3/4

Step-by-step explanation: CREDIT TO GUY ABOVE!

Answer:

y=4

x=2

Step-by-step explanation:

y=4

x=2

I think it's right..

Hope I helped!

Answer:

x - intercept = 2

y - intercept = 4

Answer:

F = [tex]\frac{9C+160}{5}[/tex]

Step-by-step explanation:

Given

C = [tex]\frac{5(F-32)}{9}[/tex] ( multiply both sides by 9 to clear the fraction )

9C = 5(F - 32) ← distribute

9C = 5F - 160 ( add 160 to both sides )

9C + 160 = 5F ( divide both sides by 5 )

[tex]\frac{9C+160}{5}[/tex] = F

Answer:

1.25 km in 1 minute

125 km in 100 minutes

Step-by-step explanation:

Find its speed in km/min by dividing the km by number of minutes:

7.5/6

= 1.25

So, the train goes 1.25 km in 1 minute.

Using this speed, find how far it goes in 100 minutes, by multiplying the speed by 100:

1.25(100)

= 125

So, in 100 minutes, the train goes 125 km.

a. The distance travelled by the train in 1 minute, at a constant speed is 1.25 kilometers.

b. The distance travelled by the train in 100 minute, at a constant speed is 125 kilometers.

Given the following data:

To find how far (distance) the train go in 1 minute, we would use direct proportion:

7.5 kilometers = 6 minutes

X kilometers = 1 minute

Cross-multiplying, we have:

[tex]6 \times X = 7.5\\\\X = \frac{7.5}{6}[/tex]

X = 1.25 kilometers.

b. To find how far (distance) the train go in 100 minute:

Since the train travels 1.25 kilometers in 1 minute, we would multiply that distance by 100.

[tex]D(100) = 1.25 \times 100\\D(100) = 125 \; kilometers[/tex]

Distance = 125 kilometers.

Read more: https://brainly.com/question/18676621

Answer:

IV. {(3,9), (7,3), (8,0), (3,-5)}

Step-by-step explanation:

this is because the x-values are the same in (3,9) and (3,5) which means that relation does not represent a function.

Answer:

a=5/2 a=2.5

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Answer:

any chooses

Step-by-step explanation:

Answer:

h = -2.5

Step-by-step explanation:

I hope this helps!

Answer:

h = -2.5

Step-by-step explanation:

-6h + 2(4h + 3) = 1

-6h + 2*4h + 2*3 = 1

-6h + 8h + 6 = 1   {combine like terms}

        2h + 6 = 1

              2h = 1 - 6

              2h = -5

               h = -5/2

               h = -2.5

Answer:

Step-by-step explanation:

Sum of all three angle in a triangle=180

Given angles are 35°,45°

Let the remaining angle =x

So 35 +45+X=180

X=180-80

X=100°

Remaining angle =X=100° is the answer

Answer:

4

Step-by-step explanation:

The number of zeroes is the points that cut the x axis, so in the graph the polynomial cut FOUR times the x axis

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[tex]9 \: \: , \: \: 18[/tex]

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Let me know if you need explanation.

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Answer:

Let the smaller part be x

Bigger part is 2x

so 2x+x=27

=> 3x=27

=>x=27/3

=>x=9

Therefore the smaller part is 9 cm and the larger part is 2*9 = 18cm

Plz mark as brainliest............. hope it helps

Answer:

2005400sblackwell

2005400sblackwell

03/27/2020

Mathematics

Middle School

Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?​

Answer:

32%

Step-by-step explanation:

I don’t know. I’m on a test got the answer wrong and it showed me the right answer.