Help please!!!

12x + 6y= 162
2x + 10y= 126

Solve using system of equations. Show all work

Answers

Answer 1

Answer:

(8, 11)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

12x + 6y = 162

2x + 10y = 126

Step 2: Simplify systems

2x + y = 27

x + 5y = 63

Step 3: Rewrite systems

2x + y = 27

x = 63 - 5y

Step 4: Solve for y

Substitute in x:                        2(63 - 5y) + y = 27Distribute 2:                            126 - 10y + y = 27Combine like terms:               126 - 9y = 27Isolate y term:                         -9y = -99Isolate y:                                  y = 11

Step 5: Solve for x

Define equation:                    x + 5y = 63Substitute in y:                       x + 5(11) = 63Multiply:                                  x + 55 = 63Isolate x:                                 x = 8
Answer 2

Answer:

x = 8 and y = 11

Step-by-step explanation:

solve for y

12x + 6y = 162

-12x          -12x

6y = 162 - 12x

/6             /6  

y = 27 - 2x

substitute

2x + 10(y) = 126

2x + 10(27 - 2x) = 126

2x + 270 - 20x = 126

-18x + 270 = 126

       -270    -270

-18x = -144

-18        -18

x = 8

substitute again:

y = 27 - 2(x)

y = 27 - 2(8)

y = 27 - 16

y = 11


Related Questions

the graph shows the functions

Answers

Answer:

x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2

Step-by-step explanation:

To find the solution of the system of equations from their graphs find the intersection points between the two graphs, they are the solution of the system

In the given figure

f(x) = 2x + 1

∴ It is represented graphically by a line

g(x) = [tex]\frac{1}{x}[/tex]

∴ It is represented graphically by two curved lines on 1st and 3rd

   quadrants

∵ The solution of the system of the equations is the points of

   the intersection of the two graphs

∵ The two graphs intersected at points (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)

∴ The solution of the system of the equations is (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)

x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2

Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $12.56 per package 1 pound of broccoli priced at $1.98 per pound 2 1 gallon of milk priced at per $3.49 gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.80 in change. What amount of money does Susan use to pay for the items?

Answers

Answer: $30

Step-by-step explanation:

Your question isn't well written. Here's the complete question:

Susan buys the item listed below at a grocery store. 2 packages of chicken priced at $12.36 per package. 1/2 pound of broccoli priced at $1.98 per pound. 1gallon of milk priced at $3.49 per gallon. There is no sales tax on the food she buys. Susan pays for the items and recevies $0.80 in change. What amount of money does Susan use to pay for the items?

2 packages of chicken priced at $12.36 per package will cost:

= 2 × $12.36

= $24.72

1/2 pound of broccoli priced at $1.98 per pound will cost:

= 1/2 × $1.98

= $0.99

1 gallon of milk priced at per $3.49 per gallon will be:

= 1 × $3.49

= $3.49

We are then told that Susan pays for the items and receives $0.80 in change. The amount of money does Susan use to pay for the item will be:

= $24.72 + $0.99 + $3.49 + $0.80

= $30

The wholesale price of a stereo is $105. If Best Buy marks up the price by 65%, what is the retail price?

Answers

Answer:

Subtract wholesale price from the "sale" price.

Step-by-step explanation:

If u can read 10 pages in 5 minutes how many can you read in 1 minute

Answers

Answer:

0.5

Step-by-step explanation:

5/10=0.5

1 point
What are the x-intercepts on the following graph?
-5
-5
0
5
-5

Answers

(3,0) and (-1,0) I’m pretty sure
The x-intercept is the point at which the graph crosses the x-axis.

At point 2 and -1, it crosses the x-axis

This means 2 and -1 are the x-intercepts

Express the recurring decimal 0.034 (The 34 is recurring) as a fraction in its simplest form.

Answers

Answer:

34/1000

Step-by-step explanation:

34÷1000 equals 0.034

Which is the quotient for
19
.
04
÷
0
.
17
?

A.
10.2

B.
11.2

C.
102

D.
112

Answers

Answer:

i think its D

Step-by-step explanation:

D

I need help can some one plzzz help me ​

Answers

Prime numbers
11,13, and 29
composite
21,15, and 16

write an equation that is parallel to 7/8x+1 and an equation that is perpendicular to 7/8x+1

Answers

Answer:

7/8x-3 and -8/7x-1

Step-by-step explanation:

parallel: same slope, different y-intercepts (I chose -3)

7/8x-3

perpendicular: opposite signs and reciprocal

-8/7x-1

A class of 80 girls and 60 boys sponsored a car
wash. If 40 percent of the girls and 30 percent of
the boys got their cars washed, approximately
what percent of the class got their cars washed?
O A. 91%
OB. 64%
OC. 50%
OD. 36%

Answers

Answer:

D

Step-by-step explanation:

80/100 x 40 = 32

60/100 x 30 = 18

18 + 32 = 50

50/(80+60) x 100 = 35.7

= 36

Thank you

Answer:

36%

Step-by-step explanation:

class total: 140 students

40% of 80= 32

30% of 60=18

18+32= 50

50 divided by 140= .36 or 36 percent

I would love some help with this if anyone can!

What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A)y + 4 = - (x + 3)
B)y - 4 = - } (x + 3)
C)y + 4 = (x + 3)
D)y – 3 = - (x + 4)

Answers

Answer:

B) y - 4 = -5/7(x + 3)

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Brainliest 5 stars and worth 20 points, give me correct answers!!!

Use synthetic division to solve #2

Answers

Answer:

x² + x + 1 + 2/(x - 1)

Step-by-step explanation:

(x³ + 1) / (x - 1) =(x³ - 1 + 2) / (x - 1) =(x³ - 1)/(x - 1) + 2/(x - 1) =(x - 1)(x² + x + 1)/(x - 1) + 2/(x - 1) =x² + x + 1 + 2/(x - 1)

how many sides does a polygon have if each of its interior angle is 120

Answers

There are six sides

Use an equation and combining like terms to find the value of x in the figure below:
**HINT: The sum of the interior angles in a triangle is 180°
to
65°
65°

Answers

Answer:

x = 50°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

x° + 2(65°) = 180°

Step 2: Solve for x

Multiply:                    x + 130 = 180Isolate x:                   x = 50°

Please help me out quickly!​

Answers

Answer:

imvnuifdv

Step-by-step explanation:

Find the value of xxx in the triangle shown below.

Answers

Answer:

x = 50 °

Step-by-step explanation:

This is an isosceles triangle, and this is apparent because there are two sides which are of the same length (7). This means that the angles opposite to it would also be same (this is one of the properties of an isosceles triangle).

So the other angle would also be x. And the sum of all angles in a triangle  would add up to 180.

x + x + 80 = 180

2x = 100

x = 50 °

Can you help me with this?

I'm not quite sure i get it.

Answers

Simplified it is 16x-17

3 divided by 3/4=? ( in fraction form)

Answers

12/3. Kskshsjsmxbsjjxhxhc

please help!! 20 points

Answers

Answer:

x = y = 36°

Step-by-step explanation:

Inscribed angles subtended on the same arc are congruent.

The measure of the inscribed angle is half the measure of its intercepted arc, thus

x = y = 0.5 × 72° = 36°

Decrease £2155.45 by 18.5%

Answers

Answer:

Decrease number by 2,155.44% of its value.

Percentage decrease = 2,155.44% × 18.5

1726 rounded to the nearest 100

Answers

Answer:

1726 to the nearest 100 = 1700

Answer:

1700

700 is the nearest 100

2 lower than 5>0

if 6>+1

A recipe for pancakes calls for 1 cup of
pancake mix and cup of milk. How
much milk is needed to make the
recipe?

Answers

Answer:

1-2 cups of milk

Step-by-step explanation:

If I can recall, you may need 1 or 2 cups of milk, depending if you want your pancakes to be more tang and tenderness.

Hopefully this helped! :D

-LavenderVye

what would this be?...
solve: -1/2x + 3 = -x + 7

a.1/2
b.8
c.-8
d.2​

Answers

The answer for this question is B (8)

Select the correct answer from each drop-down menu.
1. A. increase quickly
B.increase slowly
C. decrease slowly
D. decrease quickly.
2. A. increase quickly
B.increase slowly
C. decrease slowly
D. decrease quickly.

Answers

increased slowly, increased quickly

The table below represents a function. Which of the following equations could be its function rule?

x y
0 -2
1 0
3 4
-2 -6



y = -2 x
y = 2 x - 2
y = x - 2
y = 3 x - 3

Answers

Answer:

[tex]y=2x-2[/tex] is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)[/tex]

[tex]m=\frac{0-\left(-2\right)}{1-0}[/tex]

[tex]m=2[/tex]

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

[tex]y=mx+b[/tex]

[tex]-2 = 2(0)+b[/tex]

[tex]-2=0+b[/tex]

[tex]b=-2[/tex]

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

[tex]y=mx+b[/tex]

[tex]y=2x+(-2)[/tex]

[tex]y=2x-2[/tex]

Thus, [tex]y=2x-2[/tex] is the required equation.

Therefore, the second option is true.

3-4 Write equation for each then evaluate it using the given values.
3. The Frosty Ice-Cream Shop sells sundaes for $3 plus $0.50 per topping.
a. Write an equation to represent the cost of an Ice cream Sunday with or
without toppings.
b.
Use the equation above to find the cost of an Ice Cream Sunday with 1,
3, & 5 toppings.

Answers

Your answer is a I’m pretty sure

The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs Php 8.00, how much should a pizza with an 11 inch radius cost?

Answers

Answer:

An 11 inch radius pizza costs Php 14.63!

Step-by-step explanation:

We have to find the average cost for each inch radius of pizza!

8/6 = 1 1/3

The average cost is Php 1.33

Now we multiply that by 11

1.33 * 11 = 14.63

An 11 inch radius pizza costs Php 14.63

A pizza with a 6 inch radius costs Php 8.00.

A pizza with 11" radius costs Php 26.88.

Let:-

k = constant

c = cost of a pizza

r = radius of pizza

The cost of a pizza varies directly as the square of its radius.

[tex]c[/tex] ∝ [tex]r^{2}[/tex]

[tex]c=kr^{2}[/tex]

Where: c = 8, r = 6

[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]

When r = 11 inch

[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]

Therefore, A pizza with 11" radius costs Php 26.88.

For more information:

https://brainly.com/question/10699272


Mrs. Berrios is buying new running shoes. They cost $72. She can buy
them online for 30% off. How much money will be taken off the price of
the shoes?

Answers

Answer:Thus, a product that normally costs $72 with a 30 percent discount will cost you $50.40, and you saved $21.60. You can also calculate how much you save by .

So therefore answer:50.40  please brainIlist

Step-by-step explanation:

A recipe calls for 2/3 of cup of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?

A. 10
B. 110
C.11
D.22

Answers

Answer:

the answerr issssss c cccccccccccccc

Step-by-step explanation:

A is the correct answer

Explication:
165/11 = 15
2/3x 15 = 10

On Saturday, Kylee’s volleyball team will be having a family picnic. Hot dogs are sold at the local store with 15 hot dogs in a package. Hot dog buns, however, are only sold in packages of 6 hot dog buns. Kylee’s team wants to buy the exact same number of packages for hot dogs as hot dog buns.


What is the least number of packages of hot dogs and hot dog buns that Kylee’s team should buy to have exactly the same number of hot dogs as hot dog buns? If a package of hot dogs cost $2.98 and a package of hot dog buns cost $2.16, what was the total expense?

Answers

Answer:

Kylee's family need at least 2 packages of hot dogs and 5 packages of hot dog buns to have exactly the same number of hot dogs and hot dog buns.

Total expense is $16.76

Step-by-step explanation:

The lowest common multiple of 6 and 15 is 30.

Two packages of hot dogs contain 30 hotdogs.

Five packages of hot dog buns contain 30 hotdog buns.

If one package of hotdog costs $2.98, two packages would cost $2.98 × 2 = $5.96

If one package of hot dog buns costs $2.16, five packages would cost $2.16 × 5 = $10.8

$5.96 + $10.8 = $16.76

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