Write an equation of the line that passes through 18,2 and is parallel to the line 3y-x=-12

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

[tex] 3x - 2y = 7 [/tex] ----› Equation 1

[tex] y = x + 2 [/tex] -----› Equation 2

Substitute y = (x + 2) in equation 1

[tex] 3x - 2y = 7 [/tex] ----› Equation 1

[tex] 3x - 2(x + 2) = 7 [/tex] (substitution)

[tex] 3x - 2(x) -2(+2) = 7 [/tex] (distributive property)

[Note: this is where Carolyn made a mistake]

[tex] 3x - 2x - 4 = 7 [/tex]

Collect like terms

[tex] x - 4 = 7 [/tex]

[tex] x = 7 + 4 [/tex] (addition property of equality).

[tex] x = 11 [/tex]

Substitute x = 11 in equation 2

[tex] y = x + 2 [/tex] -----› Equation 2

[tex] y = 11 + 2 [/tex] (substitution)

[tex] y = 13 [/tex]

✅The solution to the system of equations would be:

(11, 13)

Answer: What shape is this? A triangle?

Step-by-step explanation:

Assuming that this is a triangle with no 90 degree angles:

-5x + 32 = 180

     -32   =  -32

---------------------

-5x = 148

----- = -----

-5   =   -5

x = -29.6

Assuming that this is a triangle with 90 degree angles:

-5x + 32 = 90

       -32  = -32

----------------------

-5x   =  58

-----  =  -----

-5   = -5

x = 11.6

For both of these you would get a decimal so you need to provide an image or more information to your question

Answer: Additive Inverse of 17 = -17

The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.

Step-by-step explanation:

is this what you meant??

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

[tex]\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}[/tex]

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

[tex]\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark[/tex]

Because we ended up with a true statement, we have determined that the value of x is -29.

Answer:

[tex]7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}[/tex]

Answer:

■ = 7

Explanation:

Because there two ratios are proportional as a result of being equal.

To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.

i.e a : b = a/b.

So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.

i.e a/b = c/d → b × c = a × d → bc = ad

Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.

8■/8 = 56/8

1■ = 7

■ = 7

This method works for a missing part pretty much anywhere.

____________________

This is a little faster for ratios:

To find the value of the unknown part of the ratio,

just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.

4 : ■ = 8 : 14

Notice that 4 corresponds to 8

So the factor between these is 2.

Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.

Therefore ■ = 14 × 1/2 = 14/2 = 7

Answer:

The equivalent ratios are:

16:10

8:5

48:30

Step-by-step explanation:

It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.

given ratio is:

16:10

which simplifies to

8:5

We can observe that the second ratio will be same 8:5

Now,

[tex]\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48[/tex]

Hence,

The equivalent ratios are:

16:10

8:5

48:30

Answer:

appreciate plzz mark as brainliest

Answer:

Other Endpoint (x₂,y₂) = (16,25)

Step-by-step explanation:

We are given endpoint = (4,-9) and midpoint(10,8) we need to find the other endpoint of line segment.

Let other endpoint be (x₂,y₂)

The formula used to find other endpoint is using formula of midpoint

[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We have [tex]x_1=4 , y_1= -9 , x_m=10, y_m=8[/tex]

Using formula and finding (x₂,y₂)

[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(10,8)=(\frac{4+x_2}{2},\frac{-9+y_2}{2})\\10=\frac{4+x_2}{2} , 8=\frac{-9+y_2}{2}\\Finding\ x_2\\10*2=4+x_2 \\20=4+x_2\\x_2=20-4, \\x_2=16\\Finding \ y_2\\8*2=-9+y_2\\16=-9+y_2\\y_2=16+9\\y_2=25[/tex]

So, x₂=16 and  y₂=25.

So, Other Endpoint (x₂,y₂) = (16,25)

Answer:

Retail price = $75

Step-by-step explanation:

1. State the given

The price of the vacuum cleaner's wholesale; $50.

The rate of mark up that the vacuum cleaner is sold at; 50%.

This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.

2. Form am equation and solve

Use the equation:

wholesale_price * markup = retail_price

Now use the given information

50 * 1.5 = retail price

Solve

50 * 1.5 = 75

retail price = $75

Answer:

nope

Step-by-step explanation:

Answer:

GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPPPPPEEEEEEE

Step-by-step explanation:

Answer:

50.90$

Step-by-step explanation:

add Monday through Friday= 169.85

then multiply 44.15 by 5 = 220.75

subtract both 220.75 by 169.85 = 50.90

Answer:

Step-by-step explanation:

Answer:

What's the question lol ?

Step-by-step explanation:

Answer:

Simplify the expression.

Exact Form:

-4/15

Decimal Form:

-0.2666666......

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

divide the cookies by the number of spoons

24 cookies per 8 spoons = 3 cookies per 1 spoon

45 cookies per 15 spoons = 3 cookies per 1 spoon

Answer: B C D

Step-by-step explanation:

Answer:

13.20

Step-by-step explanation:

20.00 - 40% + 10% = 13.20

Answer:

Step-by-step explanation:

We can see the sketch of the diagram in the image attached below.

Since 1 yard =3 feet

110 yards = 330 feet

Using: Distance = speed * time

If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.  

The distance traveled = 264 ft

After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.

b)

Total Distance traveled = A + B + C

A = C = 330 ( radius of the circle)

= 330 + 110 + 330

= 770 ft

c) Using the expression:

Speed = Distance/time

time = Distance/Speed

time = 770/11

time =  70 sec

d)

Area = 1/2 r²θ

Area = 1/2 r² (l/r)

Area = 1/2 × r × l

Area = 1/2 × 330 × 110

Area = 18150 ft²

Answer:

-6/5

Step-by-step explanation:

Answer:

y = -Ax + C

Step-by-step explanation:

Ax + By = C

-ax            -ax

By  = -Ax + C

Answer:

y = -Ax + C

Answer:

be they just do hahahaha

Answer:

4%

Step-by-step explanation:

to solve this you need to subtract 156-150=6

then take 6 divided by 150 which is 0.04

then take 0.04x100=4

Answer:

4%

Step-by-step explanation:

156 divided by 150 = 1.04, which equals 4%

Answer:

c

Step-by-step explanation:

Answer:

The Answer is C.

Step-by-step explanation:

Edge 2021

Answer:

1200 milimeters

Step-by-step explanation:

Answer: B: Gabriel opened the account with $15 and is depositing $35 per week into his bank account.

Answer:

=> 51b - 24

=> 51(4) - 24

=> 204 - 24

=> 180

Answer:

A. 87b-179+957/87

D. 51b-24

Step-by-step explanation:

A. 87(4)-179+957/87

348-179+957/87

348-179+11

169+11

180

B. 33b12

33(4)12

553648128

C. b2+120

(4)2+120

8+120

128

D. 51b-24

51(4)-24

204-24

180

E. 11b+187-2756/13

11(4)+187-2756/13

44+187-2756/13

44+187-212

231-212

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