Solve the system of equations using substitution. Show all work.

y = 7x - 24

y = -3x + 16

Answers

Answer 1
7x - 24 = -3x + 16
7x = -3x + 40
10x = 40
x = 4
y = 7(4) - 24
y = 28 - 24, y = 4
Solution: x = 4, y = 4

Related Questions

CORRECT ANSWER GETS BRAINLIEST

What percentage of the block is shaded in?

Answers

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

does 1/4 (3x - 12) = 1/4x - 3 have infinite solutions?

Answers

No, I think it has 2 solutions.

Explain how you found the equation that represents Aunt Andrea’s decorating plans from the table. NO SAMPLE ANSWERS PLEASE

Answers

Answer:

could you posibly put a pic

Step-by-step explanation:

what is -6x+3+x-7

Plz hurry plzzz

Answers

Answer:

-5x-4

Step-by-step explanation:

Answer:

-5x - 4

Step-by-step explanation:

Add the x values to get -5 then do the same with the other values

a movie ticket in 2008 cost $10. this year it cost $18

Answers

Answer:

inflation is cause of change of price

Step-by-step explanation:

Answer:

The reason movies tickets went up because they raised the minimum wage again.

aSarah is 5 feet and 2 inches tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters)

24.409 centimeters
65.08 centimeters
157.48 centimeters
158.496 centimeters

Answers

Answer:

12 crossed by 3

Step-by-step explanation:

157.48 cm because 62 x 2.54 gives u 157.48

is this a function? (it says the question has to b at least 20 characters long, sorry)

Answers

no- i don’t not believe it is a function. i would recommend using desmos for graphing :)

A contractor purchases 4 dozen pairs of padded work gloves for ​$56.16. She incorrectly calculates the unit price as ​$14.04 per pair for the expense report. What is the correct unit​ price? What is the​ error? Why is the​ contractor's unit price​ incorrect?

Answers

Answer:

The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.

Step-by-step explanation:

It is given 4 dozen pairs of gloves for $56.16.

So, unit price = Divide the price by number of pairs of gloves.

And 1 dozen =12

So 4 dozen =4*12=48 pairs of gloves

So, to find unit rate divide 56.16  by 48.

Unit price =[tex]\frac{56.16}{48}= $1.17[/tex]

So, the error is she didn't convert the dozen to units.

That made mistake in finding unit price.

Which of the following lists of ordered pairs is a function?
A. (1,1),(2,3)(1,5),(4,7)
B. (2,4),(-2,4), (3,9), (-2,-4)
C. (2,4), (3,9),(4,16), (5,25)
D. (0,2), (4,2), (0, -4), (4.-2)

Answers

c because no number on the left is repeated
C because the guy above me said it and I trust it

WHAT IS THE PERCENT OF DECREASE FROM 1000 to 10

Answers

Answer:

(1000-10/10)%

(990/10)%

99%

Write a multiplication fact that goes with this division fact.

33 ÷ 11 = 3

Answers

Answer: 3 x 11 = 33

Step-by-step explanation: Hope it helped!

2.332 divided by 2.2

Answers

Answer:

1.06

Step-by-step explanation:

2.332 divided by 2.2

= 1.06

Hope this helped!

Answer:

1.06

Step-by-step explanation:

ASAP PLZZ Helllllppppp me!!!!
Will Mark BRAINLIEST!!!!
!!!Mega point giveaway!!!

Answers

Answer:

180 start line

Step-by-step explanation:

53+x+43=180

96+×=180

×=84

X= 84

Step-by-step explanation:

Please Guys


-4n(5n+6)-5(3+3n)

Answers

Answer:

I tried this but i got it wrong it is not b on the test thing

Step-by-step explanation:

oop

One wintry week a ski town got 15 1/2 inches of snow on Monday the town got 2 3/4 inches on Tuesday it got 1 1/2 times as much and on Wednesday it got 7/8 inches how much snow did the town get the rest of the week pls help I’ll give Brainlyleast (14 points)

Answers

Answer: On Monday the town got 2 3/4 (2.75) inches of snow.

On Tuesday it got 1 1/2 (1.5) times as much: 2.75 x 1.5 = 1.375 (inch)

⇒ On Tuesday the town got 1.375 inch of snow.

On Wednesday it got 7/8 (0.875) inch of snow.

After Monday, Tuesday and Wednesday, the town got:

2.75 + 1.375 + 0.875 = 5 (inches of snow)

For the rest of the week, the town got:

15 1/2 - 5 = 10 1/2 = 10.5 (inches of snow)

Step-by-step explanation: hope it helped :))

Answer:

7.76 inches, and this is NOT including Saturday and Sunday

Step-by-step explanation:

Monday: 2.75 inch

Tuesday: 2.75 * 1.5 = 4.12 inches

Wednesday: 7/8 = .87 inches

So, you add

2.75 + 4.12 + .87 = 7.74 inches for Mon, Tues and Wed.

then 15.50 - 7.74 = 7.76 inches of snow for both Thurs and Friday

Hope it Helps!

Write the equation of the line that passes through (-1,2) and (2,8) in any form NEED HELLP ASAP!!!

Answers

Answer: y=2x+4 for parallel and y=-1/2x+1 1/2

Step-by-step explanation: you need to do an equation using the slope which you can find by using y2-y1/x2-x1

from there you have to use y-y1=m(x-x1)

Dried bananas sell at $4.59/kg and dried apricots sell at $6.59/kg. How many of kilograms of each should be used to make a mixture of 50 kg of dried fruit to sell for $5.20/kg. Solve for substitution or elimination

Answers

Answer:

Weight of dried bananas = 34.75 kg

Weight of dried apricot = 15.25 kg

Step-by-step explanation:

Given that:

Cost of dried bananas = $4.59 per kg

Cost of dried apricots = $6.59 per kg

Total weight of mixture = 50 kg

Sales price of dried fruit = $5.20 per kg

To find:

The weight of each type of dry fruit = ?

Solution:

Let weight of dried bananas = [tex]x[/tex] kg

Let weight of dried apricot = [tex]y[/tex] kg

[tex]x+y=50 ...... (1)[/tex]

Total cost of dried bananas = Cost of dried bananas per kg multiplied by weight of dried bananas

Total cost of dried bananas = $4.59[tex]x[/tex]

Total cost of dried apricots = Cost of dried apricots per kg multiplied by weight of dried apricots

Total cost of dried apricots = $6.59[tex]y[/tex]

As per question statement,

Total cost of dry fruits = $5.20 [tex]\times[/tex] 50 = $260

[tex]260 = 4.59x+6.59y......(2)[/tex]

Using substitution:

By equation (1):

[tex]x = 50-y[/tex]

Putting in equation (2):

[tex]260 = 4.59 (50-y)+6.59y\\\Rightarrow 2y = 260 - 229.5\\\Rightarrow y = 15.25\ kg[/tex]

[tex]x = 50 - 15.25\\\Rightarrow x = 34.75\ kg[/tex]

Therefore, the answer is:

Weight of dried bananas = 34.75 kg

Weight of dried apricot = 15.25 kg

help me out plzzzzzzzz​

Answers

Answer:

d

Step-by-step explanation:

5x -2

Answer choices:

a. 2-5x

b. 3-5 +2x

c. 5x-2x

d. 2x-2+3x

a.

2-5x can be rewritten as -5x+2, which is not the same as 5x-2

b. 3-5 + 2x can be rewritten as -2 + 2x or 2x-2 which is not equivalent to 5x-2

c. 5x-2x is 3x

3x doesn't equal 5x-2

d. 2x+3x-2 = 5x-2

This expression is equivalent to 5x-2

Help me solve this problem please num 23

Answers

Answer: I got no  idea bro sorry

Step-by-step explanation:

Answer:

I worked it out, and the answer i got was 298

Find the value of each variable listed.

Answers

Answer:

a = 90

b = 28

c = 68

d = 22

Step-by-step explanation:

[tex]a = 90[/tex]

[tex]d=22[/tex]

[tex]22+90=112[/tex]

[tex]180-112=68[/tex]

[tex]c=68[/tex]

[tex]62+90=152[/tex]

[tex]180-152=28[/tex]

[tex]b=28[/tex]

What is the coefficient in the expression 5+9y?

Answers

Answer:

9

Step-by-step explanation:

Answer:

The coefficient is 9

Step-by-step explanation:

Help me please. Transition math

Answers

Answer:

8 ft^2

Step-by-step explanation:

Since the area of the circle is pi*radius^2, we can plug the values in and get that the area of the circle is 3.14 (approx.) * (6/3)^2, which equals to 3.14*9 ft^2, which equates to 28.26 ft^2.

Hence, the exact area left is 36 - 28.26 ft^2 = 7.74 ft^2, which is closest to 8 ft^2.

Hope this helped!

Rob is saving to buy a new MP3 player. For every $12 he earns babysitting, he saves $5. On Saturday, Rob
earned $72 babysitting. How much money did he save?
If he earned $72, he saved $ (I

Answers

Answer:

he saved $42

Step-by-step explanation:

$12-$5= $7

$72/12= 6

$7x6= $42

{x^2+6x-27/x^2-9x+18
how to solve step by step

Answers

Answer:

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

5

Simplify ———————

x2 - 81

Trying to factor as a Difference of Squares:

1.1 Factoring: x2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Factorization is : (x + 9) • (x - 9)

Equation at the end of step

1

:

(((x2)-18x)+81) 5

———————————————•———————————

(((x2)-6x)-27) (x+9)•(x-9)

STEP

2

:

x2 - 18x + 81

Simplify —————————————

x2 - 6x - 27

Trying to factor by splitting the middle term

2.1 Factoring x2 - 18x + 81

The first term is, x2 its coefficient is 1 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +81

Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81

Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .

-81 + -1 = -82

-27 + -3 = -30

-9 + -9 = -18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9

x2 - 9x - 9x - 81

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

9 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x-9) • (x-9)

Which is the desired factorization

Trying to factor by splitting the middle term

2.2 Factoring x2-6x-27

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -27

Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27

Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -6 .

-27 + 1 = -26

-9 + 3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 3

x2 - 9x + 3x - 27

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

3 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-9)

Which is the desired factorization

Canceling Out :

2.3 Cancel out (x-9) which appears on both sides of the fraction line.

Equation at the end of step

2

:

(x - 9) 5

——————— • —————————————————

x + 3 (x + 9) • (x - 9)

STEP

3

:

Canceling Out

3.1 Cancel out (x-9) which appears on both sides of the fraction line.

Final result :

5

—————————————————

(x + 3) • (x + 9)

Pedro is traveling on a toll road. He plans to exit the road 5 miles ahead at First Avenue and pay $1.75. He changes his plans and travels 9 miles to Butler Street and pays $2.75.​

Answers

This problem forces us to assume that Pedro has just entered the toll road. He has gone no miles on the toll road yet.

x, miles traveled on the toll road
y, the toll to be paid for x miles

According to his plan, (5, 1.75), an (x,y) point.
According to what happened, (9, 2.75), another point.

Slope m:
%282.75-1.75%29%2F4

m=1%2F4

Picking the "plan" point and found slope
and putting into point-slope equation form:
y-1%263%2F4=%281%2F4%29%28x-5%29

Simplify and put into slope-intercept form:
highlight%28y=x%2F4%2B1%2F2%29

highlight%28y=x%2F4%2Bhighlight_green%281%2F2%29%29
The y-intercept is 1%2F2.

Please help me with this, I have no idea how to do ratios

Answers

The ratio would be 40% ryegrass to 60% bluegrass.
Hope this helps!

the ratio is

2 : 5 , or 40 : 100

sorry if this is wrong, i tried my best.

Rebecca has put a rectangular
vegetable garden in her backyard. The garden is 16 ft and 11 ft
What is the area of Rebecca’s garden
in square feet?

Answers

Answer:

176 ft squared

Step-by-step explanation:

Answer:

the answer is 175 like his or her

minimum list price $ (10,800-14,000-11,600-6800)

minimum list price $ (18,800- 10,800-11,600-14,000)

Answers

9514 1404 393

Answer:

minimum $11,600maximum: $14,000

Step-by-step explanation:

The graph shows price decreases with age, so the minimum price will be associated with cars that are 3 years old. We read from the graph that the price of a 3-year-old car is about $11,600. (This is slightly more than halfway between the $11,000 and $12,000 grid lines.)

The maximum will be associated with a 2-year-old car. We can read the graph to find the price of a 2-year-old car is $14,000. That value is on the grid line, so no guessing is necessary.

Then we have ...

  minimum: $11,600

  maximum: $14,000

_____

Additional comments

We'd like to check our guess of the minimum using the given price equation. Filling in x=3 in the equation, we get ...

  2400·3 +6800 = 7200 +6800 = 14,000 . . . . matches the maximum, not the minimum

We observe that the equation has a positive coefficient for x, so will be the equation of a rising line, not the falling one shown on the graph.

For "fun", we can check to see what the equation gives for x=2:

  2400·2 +6800 = 4800 +6800 = 11,600 . . . . matches the minimum, not the maximum

This gives us some confidence that our choice of numbers is correct, but makes it clear that the equation is incorrectly written.

The problem needs to be reported, so it can be fixed.

plsssss be quick!!!

What is the solution to this system of equations?
1/4x+1 1/2y= 5/8
3/4x- 1 1/2y= 3 3/8


A) (4,-1/4)
B) (4,-9/16)
C) no solution
D) infinitely many solutions

Answers

It’s between A or D but I mainly think A

CAN YOU PLZ ANSWER THE QUESTION IT IS THE PICTURE!!!

Answers

Answer:

17 pizzas an hour

Step-by-step explanation:

just keep adding just keep adding just keep adding adding adding

Answer:

hours 12345

# pizzas 18 31 49 67 85

Step-by-step explanation:

please pick brainlist

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