Solve the equation for x:
-3(x + 4) + 5x = 24

Answers

Answer 1
Answer:

[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]

The solution for x in this equation is 18.

Answer 2

Answer:

x = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x + 4) + 5x = 24

Step 2: Solve for x

Distribute -3:                    -3x - 12 + 5x = 24Combine like terms:        2x - 12 = 24Isolate x term:                  2x = 36Isolate x:                           x = 18

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     -3(18 + 4) + 5(18) = 24Add:                                      -3(22) + 5(18) = 24Multiply:                                -66 + 90 = 24Add:                                      24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.


Related Questions

which of these context describes a situation that is likely?

Answers

Re ask the question
what are the options?

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)

Answers

Answer:

The graph will change by simply having an increased slope of 16 instead of 15.

Step-by-step explanation:

For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15.  Let x represent the number of books that we have purchased.  Then, we can write the following function to represent the cost of this club.

f(x) = 15x + 20

Note, if x = 0, meaning we have no books, then

f(0) = 15(0) + 20

f(0) = 0 + 20

f(0) = 20

Which is the cost of our joining fee.  If x = 1, meaning we have 1 book, then

f(1) = 15(1) + 20

f(1) = 15 + 20

f(1) = 35

Which is the cost of our joining fee and 1 book, which matches our graphed function.

Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00").  Then we can modify the slope of our function to reflect this change giving us the new function:

g(x) = 16x + 20

In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.

So the graph will change by simply having an increased slope of 16 instead of 15.

Cheers.

Answer:

The new function will have a steeper slope, so...

Step-by-step explanation:

Le: t  x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

case 1 (Originally) :

y = 15x + 20

case 2 ( the cost per audio book goes up by $1.00) :

y= (15+1)x+ 20

y = 16x + 20

The slope of the new function is greater than the slope of the original function    

The new function will have a steeper slope:

16  $/ audio book > 15 $/audio book

Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Answers

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Please use the graphing method to solve the following system of the linear equation:

Answers

Answer: I think c but im not too sure

Step-by-step explanation;

Answer:

B (4,4)

Step-by-step explanation:

if you go to desmos.com, click on graphic calculator and put your equations in you will see they intersect at point (4,4)

Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =

Answers

Answer:

-54/9=-6

Step-by-step explanation:

When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.

Second, notice that 9 fits 6 time into 54, therefore:

-54/9=6

We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.

See attached picture.

Please help I’m really stressed

Answers

The answer of this equation is A

Write the word sentence as an equation. Then solve. A number divided by -9 is -16.​

Answers

Answer:

X÷-9=-16 x=144

what is the slope of a line perpendicular to the line y=-1/4x-1

Answers

-1/4
I really hope this helps

slope of line perpendicular to the line y=-1/4x-1 is 4.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

will mark brainliest with ONE question!!^^^^^^^^

Answers

Answer:

c + 0.5b =700 and c + b =1,000 I think

Answer:

c+b=1000

Step-by-step explanation:

This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.

Marking people as brainlist are the triangles congruent?

Answers

Answer:

congruent by S.A.S. hope it helps if you could give me brainliest it would help. THANKS

Step-by-step explanation:

find the missing measures

Answers

2,4,6,7 and that’s pretty much it bud

Answer:

8 cm and 28 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

(i)

Here A = 48, b = AB and h = DE = 6 , then

AB × 6 = 48 ( divide both sides by 6 )

AB = 8 cm

(ii)

Here A = 252, b = PQ = 9 and h = RT , then

9 × RT = 252 ( divide both sides by 9 )

RT = 28 cm

subtraction property of equality ur welcome x3

Answers

Answer:

wut????????

Step-by-step explanation:

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

What is the scale factor of AABC to AXYZ?
B
3
35
Y
60
-350
45
9
12
48°
96°
48°
35
x 7 Z
O A. 5
d
B.
1
3
-
C. 3
D.
011

Answers

The scale factor from triangles ABC to XYZ IS 6.

Option A is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔABC and ΔXYZ

The corresponding sides are:

AB = XY

BC = YZ

AC = XZ

Now,

We see that,

XY = 6 x AB

YZ = 6 x BC

XZ = 6 x AC

So,

The scale factor is 6.

Thus,

The scale factor from triangles ABC to XYZ IS 6.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ7

Please help me on number (15) Will mark brainliest

Answers

Answer:

that will be 12

Step-by-step explanation:

Solve the following equation for x give your answer in simplified form 1/4x +3y =8

Answers

x= 2 - 3/4y. if you do the equation, you would start by subtracting 3y from both sides. now you would have 1/4x= 8-3y. then you would divide both sides by 4, to get x= 2-3/4y.

hope this helps:)

A poster of the detroit lions football players uses a scale of 4 inches= 3 feet. If quarterback Matthew stafford is 8 1/2 inches tall on the poster, find his actual height.

Answers

Answer:

The actual height = 6.38 feet

Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

of 4 inches = 3 feet

so

1 inch = 3/4 feet

Given that the poster's length:

[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch

We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.

As 1 inch = 3/4 feet

Thus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.

Actual height = 8.5 × 3/4 feet

                      = 6.38 feet

Therefore, the actual height = 6.38 feet

Can someone help me what is the answer

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)

m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 4x + 3 ← equation of line

What is the slope of a line perpendicular to the line whose equation is
10x – 8y = -80. Fully reduce your answer.

Answers

Answer:

-4/5

Step-by-step explanation:

write the given equation in y=mx+b form, where m is the slope

10x-8y=-80

-8y= -10x-80 divide both sides by -8

y=(10/8)x+10

y=(5/4)x+10

m= 5/4 is the slope of the given function

the slope of an equation that is perpendicular is the negative reciprocal of the given one so is

m= -4/5


A car dealership increased the price of a certain car by 11%. The original price was $42,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price - Original price
(b) Use your answer in part (a) to determine the new price.

Answers

So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A  so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B

if the volume of a cube is 64 cm cube then find its total surface area​

Answers

Answer:

tsa

Step-by-step explanation:

tsa of cube is 6a²

so

64cm²=6a²

Answer:

96 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the side length )

Here V = 64 , thus

s³ = 64 ( take the cube root of both sides )

s = [tex]\sqrt[3]{64}[/tex] = 4

A cube has 6 congruent square faces.

The area of 1 face = s² = 4² = 16 cm², thus

area of 6 faces = 6 × 16 = 96 cm² ← surface area

Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the third angle measures five times the second angle decreased by 90

Answers

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

can i have some help

Answers

Infinite Solutions :) Dhdhsjsjdnnd

Answer:

one solution

Step-by-step explanation:

once you solve it, x equals 0

Can someone help me on this

Answers

Answer:

a=3*3*3*3*3=243

b=2*2*2*2=16

c=10*10*10=1000

Step-by-step explanation:

The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?

Answers

Answer:.

Step-by-step explanation:

Ill give Brainliest!!! PLease THIS IS MY LAST QUESTION, I HAVE 5 MINUTES LEFT!!!

Answers

Answer:

y=95x+50

Step-by-step explanation:

Yo can somebody please help me with this math problem

Answers

Answer:

what is the problem it doesn't show anything

2p + 3w = 7.25 whats p

Answers

Answer 3.625-3/2

Explanation
2p+3w=7.25
2p=7.25-3w
(Divide both sides of the equation by 2)
P=3.625-3/2w

A four-person relay team completed a race in 60.4 seconds. On average, what was each runner's time?

Answers

Answer:

Each person did 15.1 seconds.

Step-by-step explanation: Just divide 60.4 seconds by 4 for the number of runners.

What’s the answer to this problem?

Answers

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

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