Solve the system of linear equations by substitution 12x+y=−4 y=2x+16

Answers

Answer 1

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!


Related Questions

Question 9 (1 point) Evaluate the expression: For k=4 6k3 la 64 b 24. 384​

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I have to go back and check the book

which graph represents this exponential function?
f(x) = 3(2)x -4

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Answer:

show a graph?

Step-by-step explanation:

1 Which equation is correct for cosignfon

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Answer:

hnjajka

Step-by-step explanation:

wlbhnaewbbu

Find the slope of the lines shown in the graph

Answers

Red: -3/2
Blue: 4/2
Black: 1/3

Solve for xxx in the diagram below.

Answers

X+12+100+x=180
2x+112=180
-112. -112
2x= 68
/2. /2
X= 34

Find the mean proportion between 28 and 63.​

Answers

Answer:45.5

Step-by-step explanation:

If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning. ​

Answers

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is


Can someone help me pls

Answers

8.9 I am pretty sure

Can someone help pleasee

Answers

Answer:

C

Step-by-step explanation:

im decently sure but dont rely on this answer

Which number is closest to 1
A. 0.987
b. 0.111
c.0.561
d. 0.786

Answers

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

In rolling one die, give the probability a number less than 4 will show.

a: 1 over 4

b: one half (1/2)

c: 1 over 3

d: 2 over 3

Answers

Answer:

A die usually has 6 sides.

Answer - B (1/2)

Frorn first to last, when did the presidents serve?
Drag the presidents' names into the correct order according to when they served.

Answers

Step-by-step explanation:

you got this i believe in you

the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.

Answers

Answer:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

[tex]x = \{x|-3,-2,1,5\}[/tex]

Required

The range using set notation

We have:

[tex]g(x) = 2x - 2[/tex]

When [tex]x = -3[/tex]

[tex]g(-3) = 2*-3 - 2 = -8[/tex]

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

[tex]g(-2) = 2*-2 - 2 = -6[/tex]

When [tex]x = 1[/tex]

[tex]g(1) = 2*1 - 2 =0[/tex]

When [tex]x=5[/tex]

[tex]g(5) = 2*5 - 2 =8[/tex]

So, we have:

[tex]y = -8,-6,0,8[/tex]

Using set notation, the range is:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

need help with this

Answers

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

Expert answer above me is correct

please help me and use laws of exponents​

Answers

Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Pls help simplify! I’ll give brainlest

Answers

Answer:

3^12

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

Please this is due at 11/00 pm help me please

Answers

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .

a) how much does a ticket cost of a movie goer is 22 years old

b) find c(8) and explain it's meaning in context . ​

Answers

Answer:

8.50

Step-by-step explanation:

38
Write as a mixed number.
5
Submit

Answers

Answer:

37 8/8

Step-by-step explanation:

last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures. ​

Answers

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

Oscar wants to fill with water a bucket that is the shape of a right circular cylinder. It has a 6-inch radius and12-inch height. He uses a shovel that has the shape of a right circular cone with a 3-inch radius and 4-inch height. How many shovelfuls will it take Oscar to fill the bucket up level with the top?

Answers

Answer: I think it is 36 shovelfuls

Step-by-step explanation:

V = πr²h

V = π • 6² • 12

V = π • 36 • 12

V = 1357.2in³

V = 1/3πr²h

V = 1/3 • π • 3² • 4

V = 1/3 • π • 9 • 4

V = 1/3 • π • 36

V = 37.7in³

1357.2 ÷ 37.7 = 36 shovelfuls

A trunk measures 48 inches long, 22 ½ feet wide, and 32 inches high. What is the volume of the box? Answer without units

Answers

Answer:

Volume of trunk = 4,14,720 inches³

Step-by-step explanation:

Find:

Length of trunk = 48 inches

Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet

Height of trunk = 32 inches

Find:

Volume of trunk

Computation:

1 feet = 12 inch

Width of trunk = 22.5 feet

Width of trunk = 22.5 x 12

Width of trunk = 270 inches

Volume of trunk = Length x Width x Height

Volume of trunk = 48 x 270 x 32

Volume of trunk = 4,14,720 inches³

no files or links please give me answer

Answers

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

The ordered pair (3, 2) is the solution of which system
of equations?

Answers

Answer:

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.

Step-by-step explanation:

side and angle properties of a parallelogram (level 2). NO LINKS!!!

Find the value of x, y, and z.​

Answers

9514 1404 393

Answer:

x = 59°y = 40°z = 81°

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Work out the mean for the data set below: 207, 208 Give your answer as a decimal.

Answers

Answer:

207.5 is the answer.

Step-by-step explanation:

Add up the numbers (207 + 208) = 415.

Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.

That is how you find the mean.

A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic

rounded to the nearest tenth of a kilogram?

1202 ka

Answers

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg

95/100 can be written as
19/20
13/20
19/10

Answers

Answer:

I quite strongly believe that the first option is the correct one since the following applies,

19/20

20*5=100

and

19*5=95

which in the end is equivalent to 95/100

Find the common ratio for the geometric sequence

-24, -12, -6

Answers

Every time they are divided by 2

Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths

Answers

Answer:

7.32 inches

Step-by-step explanation:

The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.

(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)

I hope this helps :))

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