Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer 1

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer 2

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]


Related Questions

( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth

Answers

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign

Answer:

You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.

Step-by-step explanation:

edge

4.4 + [4 × 1/4 + 8.6]

Answers

Answer:

14

Step-by-step explanation:

84192÷67÷2?por favor no tengo ni idea

Answers

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

1. If an item is discounted 20%, the sale price is what percent of the original price?

2. If the original price of the item is $400, what is the dollar amount of the discount?

3. How much is the sales price?

Answers

Answer:

1. it would be 80% of the original price

2.400×.20=$80

80 dollars would be the amount you would discount from the original price.

3.the sales price is $320

400-80=320

Step-by-step explanation:

Hope this helped :)

also hi!

PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

  [tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]

At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.

_____

Additional comment

Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.

True or False: The following relation is a function.
{(2,4), (3, 1), (- 3,2), (0,0), (1, 0), (0,4)}
O A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

Please help polynomial stuff​

Answers

12. (2f^2-8f)/2f
don’t have time for the next one sorry

if lines intersect, does that make it, one solution, no solution, or infinite solution?​

Answers

Answer:

one solution

Step-by-step explanation:

No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.

Answer:

one solution

Step-by-step explanation:

if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.

click on the volume of this rectangular prism.

Answers

Answer: 192 cubic inches

Step-by-step explanation:

find the value of trignometric function:
cos 2pie÷3
cos (-450°) fast please​

Answers

Step-by-step explanation:

cos2π/3 = -cosπ/3 = -0.5.

cos(-450°) = cos450° = cos90° = 0.

Dave has 30% of coupon

Answers

Answer:

HE GETS 30% OFF

Step-by-step explanation:

30% off the actual price!!

Can the sides of a triangle have lengths 2, 7, and 10?

Yes or No

Answers

Answer:

No

Step-by-step explanation:

2+7 must be larger than the other side

No the sum of the lengths of any two sides of a triangle must be greater than the length of the third side

AAAAAAAAAAAAAASASAAAAAAAA

Answers

Answer:

-5/2 is located left of -1

Step-by-step explanation:

Here, we want to select the correct option

We are comparing two numbers and the one on the left is less than the one on the right

Now, on the number line, we should notice one thing

The thing is that numbers that are less than a certain number will be positioned at the left hand side of the number

So what we have here is that the smaller number -5/2 is placed at the left hand side of -1 since it is the smaller number

Answer:

C.

Step-by-step explanation:

have a very awesome day!!!!

Write the power set of the set A={a,b,c}​

Answers

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

[tex]2^n[/tex] ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

[tex]2^3=8[/tex]

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

I’ll give you brainlest if you answer this! goes to the first person!

Answers

-10y=-x-2 I think hopefully I’m right

Simplify this equation:
-4(c+2d)-2(3c-4d)

Answers

-10c
hope this helped !!!

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

11. The chance of a woman getting breast cancer in her lifetime is 1 out of 8. At this rate, how many
women in classroom of 32 women would be expected to come down with breast cancer in her lifetime?

Answers

Answer:4

Step-by-step explanation:8x4=32

Since it is 1 out of 8, 32/8=4

Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?

Answers

Answer:

15 dozens of cakes

Step-by-step explanation:

It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.

So,

2 dozens of velvet cakes, i.e.

2 x 12 = 24 red velvet cakes

Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.

Similarly,

3 dozens of gingerbread spice cakes, i.e.

3 x 12 = 36 gingerbread spice cakes

Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.

Therefore the total number of cakes is = 72 + 108

                                                                 = 180 cakes.

We know 1 dozen = 12

Therefore dividing 180 cakes by 12, we get

[tex]$=\frac{180}{12}$[/tex]

= 15 dozen cakes.

Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.

April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was the annual interest rate?​

Answers

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

I= Prt

=> r= I/Pt

=> r= 60/600x5 = 1/50

The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.

The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails. Show your work.
A. 2.6 B. 1.8 C. 4.2 D. 3.3

Answers

Answer:

Its not possible to solve without the actual table.

Step-by-step explanation:

Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?

Answers

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Duldupfircdesghjurdjoi

Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)

Answers

Answer:

1

Step-by-step explanation:

Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?

Answers

Answer:

Domain = 1 to 7

Range = 4 to 28

Step-by-step explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

[tex]y =f(x)[/tex]

Domain of the function is the value of [tex]x[/tex] that can be given as valid input to the function.

Range of the function is the value of [tex]y[/tex] that can be output of the function.

Let [tex]x[/tex] be the number of cars manufactured.

Then value of [tex]y[/tex] is nothing but [tex]x[/tex] times 4.

[tex]y=4x[/tex]

We are given that maximum value of [tex]y[/tex] can be 28.

[tex]28 = 4x\\\Rightarrow x =7[/tex]

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.

NEED HELP ASAP!

Ted has an impressive total of 145 dimes and quarters. The collection is worth $24.25.
How many dimes and quarters does he have?

Answers

9514 1404 393

Answer:

80 dimes65 quarters

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

Check

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

Samantha created part of a table to show her savings. She saved at the same rate each week. Which graph shows this relationship?

Answers

Answer:

The answer is B

Step-by-step explanation:

because it is going up by 6 so graph B is the only graph going up by 6.

The  correct graph is with $6, $12, $18, $24.

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, from the given graph

The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.

Hence, option to is correct with $6, $12, $18, $24.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ6

HELP PLS ASAP I WILL GIVE 50 points and brainliest PLS

The variable z varies jointly with x and y. Also, z = -75 when x = 3 and y = -5.

What equation describes this variation?
z = kxy
What is the constant of variation?
k =

Answers

Answer:

Maybe is 2y

Step-by-step explanation:

Step-by-step explanation:

z = kxy, where k is a real constant.

We have z = -75, x = 3, y = -5.

(-75) = k(3)(-5)

-75 = -15k

k = 5.

Given g[x]=4-2[3-x] , what is the value of g[1]

Answers

Answer:

g(1)=0

Step-by-step explanation:

g(1)=4-2(3-1)

g(1)=4-2(2)

g(1)=4-4

g(1)=0

question is attached!​

Answers

y=x-5
inverse means swapping x and y
x=y-5
y=x+5
Therefore inverse function is y=x+5

Graph the equation y=2x+1

Answers

Answer:

hope it helps

Step-by-step explanation:

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