Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

Answer:

3/4

Step-by-step explanation:

Can Yu Mark Brainliest Plz

A y-intercept is the value at which x = 0.

(4,0) is not a y-intercept because x = 4.

(-1, 1) is not a y-intercept because x = -1.

(0,0) is a y-intercept because x = 0.

(0, -7) is a y-intercept because x = 0.

(-2, 2) is not a y-intercept because x = -2.

(0, -0.25 is a y-intercept because x = 0.

Answer:

here's the answer

Step-by-step explanation:

Answer: -6 You answered your own question-

y-6 =4 (1-4)

y-6=-12

y=-6

Answer:y= -6

Answer:

0.128

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

Answer: [tex]107^{5}[/tex]

There are 5 zeros left of the seven (7).

So, 5 is the exponent/base number.

Add a 5 as a base/exponent.

107[tex]5[/tex] should now be the answer.

Hope this answer helps you!

Answer:

1.07 × 10^7

Step-by-step explanation:

Hope This Helps!

Answer:

x = 1

Step-by-step explanation:

Given

- 2x + 4 = 8x - 6 ( subtract 8x from both sides )

- 10x + 4 = - 6 ( subtract 4 from both sides )

- 10x = - 10 ( divide both sides by - 10 )

x = 1

Answer:

Step-by-step explanation:

Let the complement = x

Let the angle = 5*x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So the complement = 15

The angle itself is 5*15 = 75

132 feet²

For this question, you have to find area.

Area is length x width

so multiply 11 x 12

You will get 132 feet²

Answer: x=−1

Step-by-step explanation: hope this helps!

I’d say option 4

However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.

So I’d stick with option 4.

Good luck!

Answer: 28 is correct!!

Step-by-step explanation:

Answer:

The answer is x=28.

Step-by-step explanation:

I hope this helps.

Answer:

slipknot is the answer to all your problems

Step-by-step explanation:

there is no explanation

Answer:

0.42857142857

Step-by-step explanation:

correct me if im wrong

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

Answer:

55 degrees

Step-by-step explanation:

I hope this helps, all you need to do is subtract 90 from 35 and your answer is S in which 55 degrees.

Answer: 55°

Step-by-step explanation:

complementary means the angles make up an angle of 90°, therefore to find the missing angle you do, 90-35 which equals 55

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!

Answer:

8.950 kg

Step-by-step explanation:

Lemme know if incorrect

Answer:

Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.

Step-by-step explanation:

Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.

Distance from Mason's house to Kevin's house= [tex]5 \times 10^5[/tex] inches.

Distance from Mason's house to Chloe's house =[tex]8 \times 10^7[/tex] inches

ATQ

[tex]8 \times 10^7= x \times 5 \times 10^5 \\\frac{8 \times 10^7}{5 \times 10^5}=x\\160=x[/tex]

So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.

Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.

Answer:

A and D

Step-by-step explanation:

If you simplify for A it is 8x +8

If you simplify for D it is 8x+8

Answer:

A & D

Step-by-step explanation:

Simplify all of them and then see which one has the same answer and those two are the answers

Answer:

c

Step-by-step explanation:

Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$

Answer:  He would have $100 in his bank account from the information provided .

Answer:

20, -7, -14, 10, -5, 8

20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)

38 + (-26) - add like terms

12

12/6 -divide sum by number of values

2 - answer

hopes this helps

Step-by-step explanation:

Answer:

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]

Step-by-step explanation:

Domain and Range

Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.

We have the function:

[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]

And the domain is

[tex]x\in\{2,4,6\}[/tex]

Compute the range by assigning each value of x:

For x=2:

[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]

[tex]\displaystyle f(2) = -1[/tex]

For x=4:

[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]

[tex]\displaystyle f(4) = 0[/tex]

For x=6:

[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]

[tex]\displaystyle f(6) = 1[/tex]

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!