Use substitution to solve each system of equations.
Explain step by step and I'll mark you Brainliest.

16x - 4y = 18
x = -6y - 7​

Answers

Answer 1

When you use the substitution method you need to plug a value into the corresponding variable of another equation.

In this occasion,"-6y-7" can be plugged into the x of "16x-4y=18" because it represents the x.

16(-6y-7)-4y=18

Distribute 16 into the parentheses

-96y-112-4y=18

Combine like terms

-96y-4y-112+112=18+112

-100y=130

Divide by -100 to get y by itself

y=-1.3 or -13/10

Now plug the y into any equation...I chose "x = -6y - 7​" but it doesn't matter

x= -6(-1.3)-7

x=-14.8 or 4/5

Answer 2

Answer:

Step-by-step explanation:

1. 16x-4y=18

4x-9/2:2x+9/8

4x-9/2:m=4

y=4x-9/2

2. x=-6y-7

1/6x-7/6:-6x-7


Related Questions

can you guys please help me with this and fast?
∛125?

Answers

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)

Answers

The answer is 680 calories

For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8

Answers

Answer:

B. A = 1, B = 0, C = 8

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation

The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet

Answers

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°

Answers

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

What is a triangle?

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

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A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.

Answers

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals

Answers

Answer:

y+1 = 3/4(x-1)

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

Help DUE IN 30 MINUTES ​

Answers

Here is the working
Hope it helps :)

Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.

Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.

What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?

Answers

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me, it's from Khan Academy

In the equation y = 2π^x, 2 is the ______ and π is the ______.

Answers

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

find the missing angle

Answers

129 degrees is the correct answer for the missing angle number 1 :)


What is the c.o.p. that describes the relationship between h and t.

Answers

B is the answer to that question !!!

i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8

Answers

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?

A. 6.44 pints

B. 16.84 pints

C. 6.4 pints

D. 17 pints ​

Answers

Answer:

c

Step-by-step explanation:

5-10m
WHATS THIS ANSWER?.
.
.
..
.
.

Answers

Answer:

-5 is the answer

Step-by-step explanation:

Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Answers

Answer:

[tex]d=9.2[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify:                        [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add:               [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate:                      [tex]d = \sqrt{49+36}[/tex]Add:                              [tex]d = \sqrt{85}[/tex]Evaluate:                      [tex]d=9.21954[/tex]

help pleaseeeeeeeee​

Answers

Answer:

its a little blury but i got -3,-9

Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.

Answers

Answer:

100+x=200

Step-by-step explanation:

distributive property is a property of equality
A) true
B) false

Answers

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

Select the correct answer.
Which function has the same graph as x + y = 11?

A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11

Answers

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

y = f(x)

therefore

x + y = 11 → x + f(x) = 11     |subtract x from both sides

x - x + f(x) = 11 - x

f(x) = -x + 11

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

Here,

To find the function with the same graph as x + y = 11,

we need to isolate y in the equation to make it of the form y = f(x).

Given equation: x + y = 11

Subtract x from both sides of the equation:

y = 11 - x

Now, we have the equation in the form y = f(x).

so, we get, f(x) = -x + 11

i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11

so, we have,

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

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Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages

Answers

Answer:

Need more information

Step-by-step explanation:

I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading

please help me with this it’s due soon

Answers

Answer:

39.5 degrees

Step-by-step explanation:

180-101=79

79/2=39.5

39.5 degrees aaaaaaaa

Match the function below with its corresponding graph or value

Answers

Answer:

Step-by-step explanation:

 c   11). f(x) = - 5x ; f(4) = - 5(4) = - 20

 e   12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11

 b   13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15

 a   14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1

 f   15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down

Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet

Answers

Answer:

the answer is C and D because perimeter is the sum of all sides of a figure

7 divided by c expression

Answers

Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan

Answers

Answer:

18 months

Step-by-step explanation:

since 1350/75 is 18

(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answers

Answer:

A= $54144B=  loss of $829.96 per week

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week

Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x

Answers

Answer:

The maximum height of the rocket is 3600

Step-by-step explanation:

The vertex of the quadratic equation y = ax² + bx + c is (h, k), where

h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive  The vertex (h, k) is a maximum point if a is negative

The height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time

To find the maximum height, do that

Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of k

Let us do that

∵ y = -16x² + 480x

a = -16 ⇒ the vertex is a maximum point

b = 480

→ Use the rule above to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]

h = 15

∵ k = y at x = h

→ Substitute x by 15 in the equatuion and y by k to find x

∵ k = -16(15)² + 480(15)

∴ k = -3600 + 7200

k = 3600

∵ The maximum height equal the value of k

The maximum height of the rocket is 3600

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