Solve for x. Type your answer below.


5(2x−12)=​−90

Answers

Answer 1

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer 2

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

~


Related Questions

the area if the top of a cube is 9 aquare meters . what is the volume of the cube?​

Answers

Answer:

27 cubic meters

Step-by-step explanation:

For square, length and width is same.

3x3 = 9 square meters

3x3x3 = 27 cubic meters

Volume of a cube = length · width · height, or:

Volume of a cube = length³

We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:

√9 = ±3

(and in this case, you can't have negative measurements, so it's positive.)

Now, all we have to do is cube the side length, so:

3³ = 27.

If you have any questions, feel free to ask! :)

solve for the measure of a

Answers

Answer:

Step-by-step explanation:

The supplement of the exterior angle is 180 - 75 = 105

In a cyclic quadrilateral (a four sides figure where all the vertices touch the circumference of a circle), the opposite angles are supplementary. Therefore <a = 180 - 105 = 75

But I think you already knew that.

what is |x-4| if x>4

Answers

Answer:

x-4

Step-by-step explanation:

If x>4, |x-4|>0 which means |x-4|=x-4

A book, a person and a box cost Rs 45 and Rs 54 respectively . Find the smallest sum of money with which the exact number of books , pens and boxes can be purchased.​

Answers

Answer:

99

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer: 99

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]

1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]

5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]

respuesta: 2 [tex]\frac{1}{2}[/tex]

1. Which of these is most likely to describe the number of yards lost in a football game?

A. rational number
B. whole number
C. real number
D. integer

Answers

Answer:

Step-by-step explanation:

whole number with the occasional jump into rational numbers when a down like 2nd and 5 1/2 to go.

Can you find the area of the figure?

Answers

Answer:

Below

Step-by-step explanation:

First I found the area of the triangle on the right

A = bh/2

A = (9)(4.5) / 2

A = 20.25 ft^2

Next, the area of the rectangle in the middle

A = lw

A = (7.5)(9)

A = 67.5 ft^2

And now the area of the right triangle on the left

A = bh/2

A = (5)(9) / 2

A = 22.5 ft^2

Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2

Hope this helps!

Picture shown!

If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ?]

Answers

Answer:

2x+1

Step-by-step explanation:

f(x) = x + 1

g(x) = 2x

f(g(x)) = Replace x in the function f(x) with the function g(x)

f(g(x)) = g(x) +1

         = 2x+1

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

A side of the triangle below has been extended to form an exterior angle of 72°. Find the value of xx

Answers

x + 20 = 72

x + 20 - 20 = 72 - 20

x = 52

Answer:

x=52

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

72 = 20+x

72-20 = 20+x-20

52 =x

Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)

Answers

Option A, she added the one on both sides which makes it addition property of equality

Points A, B, and C are collinear. Point B is between A and C. Solve for x. Find x if BC = 2x+10, AC = x+21, and AB = 11.

the answer choices:

*0 *-4 *-11 *-1​

Answers

Answer:

x = 0

Step-by-step explanation:

Since the points are collinear , then

AB + BC = AC , that is

11 + 2x + 10 = x + 21

2x + 21 = x + 21 ( subtract x from both sides )

x + 21 = 21 ( subtract 21 from both sides )

x = 0

PLEASE simplfy 8^15÷8^−3

Answers

Answer:

8^18

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

8^15÷8^−3

8^(15 - -3)

8^(15+3)

8^18

[tex]x + 0.25 = -0.25[/tex]

Answers

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

I don’t understand how to find the height

Answers

Answer:

height, x is 235 ft

Step-by-step explanation:

From trigonometric ratios:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

but:

[tex] \theta = 90 \degree - 36 \degree \\ \theta = 54 \degree[/tex]

adjacent is x

hypotenuse is 400 ft

[tex] \ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet[/tex]

Answer:

[tex]235\ ft[/tex]

Step-by-step explanation:

In this problem, one is given two parallel lines and a few transversals that form a triangle between these parallel lines. The parallel lines, one from the parasailer, and one from the boat have an angle of depression between them. This means the angle of elevation from the boat to the parasailer is also (36) degrees. This is due to the alternate interior angles theorem, which states that when two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.

The triangle formed in this situation is a right triangle, this is indicated by the box around one of the angles. Now that one has found another angle measure in this triangle, one can use right angle trigonometry. Right angle trigonometry is a series of ratios that describe the relationship between the sides and angles of a right triangle. These ratios are as follows:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the names (opposite) and (adjacent) are subjective, and change relative to the angle one is looking at, however (hypotenuse) refers to the side opposite the right angle. This side doesn't change its name. In this situation, it would be most logical to use the ratio of sine, (sin), as one has the measure of the hypotenuse, and one is trying to find the measure of the side opposite the angle. Substitute the given information into the ratio of (sin) and solve to find the unknown:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(36)=\frac{x}{400}[/tex]

Inverse operations,

[tex]sin(36)=\frac{x}{400}[/tex]

[tex]400(sin(36))=x[/tex]

[tex]235.114=x[/tex]

express p/q form of 0.375​

Answers

Answer:

15/40

Step-by-step explanation:

[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]

when 1/3k + 1/4k = 1 what is the value of k

Answers

Answer:

First of all take lcm u get

4 + 3 / 12k = 1

7 = 12k

k = 7/12

ques solved

Answer:

k = 7/12 or approximately 1.71

Step-by-step explanation:

We first need to convert both fractions denominators to their LCM (Lowest Common Multiple)

Multiples of 4: 4, 8, 12, 16

Multiples of 3: 3, 6, 9, 12

12 is the LCM

Then we convert both fractions to have a denominator of 12. Remember, whatever you do to the numerator must be done to the denominator.

1/3 x 4/4 = 4/12

1/4 x 3/3 = 3/12

The equation is now: 4/12k + 3/12k = 1

Add up both variables to get: 7/12k = 1

Divide both sides by 7/12: (12/7)7/12k = 1(12/7)

k = 12/7 or approximately 1.71

Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.

Answers

Answer:

0.0125x or x/80

Step-by-step explanation:

Salary: x dollars per year

To find the pay per month, we divide the annual pay by 12.

The monthly pay is x/12

15% of the first month's salary is

15% of x/12 = 0.15 * x/12 = 0.0125x = x/80

Answer: 0.0125x

#1
Solve the system using the elimination method.
x + y- 2z = 5
-x + 2y + z = 2
2x + 3y – z= 9

Answers

Answer:x=1, y=2, z=-1

Step-by-step explanation:

x = 1; y = 2; z = -1

This involves solving simultaneous equations using elimination method.

We are given the equations;

x + y - 2z = 5  - - - (eq 1)

-x + 2y + z = 2 - - - (eq 2)

2x + 3y – z = 9 - - - (eq 3)

Looking at the 3 equations, let's multiply equation 2 by 3 and multiply eq 1 and eq 3 by 1 to get;

x + y - 2z = 5  - - - (eq 4)

-3x + 6y + 3z = 6 - - - (eq 5)

2x + 3y – z = 9 - - - (eq 6)

Add eq 4, 5 & 6 together to get;

10y = 20

y = 20/10

y = 2

Similarly, let's repeat this proves by multiplying eq 1 by -1 and eq2 & eq 3 by 1 to get;

-x - y + 2z = - 5  - - - (eq 7)

-x + 2y + z = 2 - - - (eq 8)

2x + 3y – z = 9 - - - (eq 9)

Add eq 7, 8 and 9 together to get;

4y + 2z = 6

From earlier, we saw that y = 2. Thus;

4(2) + 2z = 6

8 + 2z = 6

2z = 6 - 8

2z = -2

z = - 2/2

z = - 1

Putting -1 for z and 2 for y into;

x + y - 2z = 5  

Gives; x + 2 - 2(-1) = 5

x + 4 = 5

x = 5 - 4

x = 1

Thus; x = 1; y = 2; z = -1

Read more at; brainly.in/question/18335432

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

Write the quadratic expressions in the numerator and the
denominator in factored form
4x^2-14x+6/
X^3-7x^2+12x

Answers

I have to give 2 Ans form my question so sorry

Answer: in photo.

Explanation:

Write the equation of the line that passes through the points (4,5) and (4,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

x=4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -6-5)/(4-4)

  = -11/0

This means the slope is undefined

Then means it is a vertical line

Vertical lines are in the form

x = constant

The constant in this case is the x value of the points

x=4

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

-23 that’s the answer I’m pretty sure

Answer:

4

Step-by-step explanation:

1)

-2x - 5 = x - 17

-2x - 5 + 5 = x - 17 + 5

* cancel out 5 on each side of equal sign.

2)

-2x = x - 12

-2x - x = x - x - 12

* cancel out x on each side of equal sign.

3)

-3x = -12

-3x/ -3 = -12/-3

* cancel out -3x on each side of equal sign.

4) Simplify

x = 4

Hope this helps, good luck! :)

Have a great day!!

Which graph represents the solution set of this inequality?

Answers

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

what is the answer to 4.7 x 10^-8

Answers

Answer:

0.000000047

Step-by-step explanation:

If n equals 5 and b equals 4 what is n + b * 5​

Answers

Answer:

25

Step-by-step explanation:

Given,

n = 5

and, b = 4

Equation:

n + b × 5

= 5 + 4 × 5

= 5 + 20

= 25 (Ans)

A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41

Answers

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

13 Water is pulled up from a well in a bucket on a rope. The rope winds on a cylindrical drum 15 cm in diameter. It takes 28 turns of the drum to pull the bucket up from the bottom of the well. How deep is the well? (Use the value 2 for m.)​

Answers

Multiply 15 by 28 and then times it by 13??

Which of these is NOT an integer
A) 3 raised to the power of -5
B) -3 raised to the power of 5
C) (1/3) raised to the power of -5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]

⸻⸻⸻⸻

[tex]\text{Option \textbf{A} does not simplify into an integer.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

HELPPP!
Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage. Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims
Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for property damage without the insurance company suffering a loss? Explain your answer.

Answers

Considering only this customer's premiums, deductible, and claims, the break-even period after which the customer could make a $10,000 claim for property damage without the insurance company suffering a loss is 15 months.

At this break-even period, the company will not make a profit or a loss.

Data and Calculations:

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15 ($10,000 - $1,000)/$600

This break-even period is computed by deducting the deductible from the claim that the customer makes, and then dividing the result by the monthly insurance premium.

Thus, the customer could make a $10,000 claim for property damage without the insurance company suffering a loss after 15 months' break-even period.  

Learn more about break-even here: https://brainly.com/question/22875945

find the sum of 56, the product of 18 and - 3 and the positive difference between 52 and 29.... PLEASE​

Answers

Answer:

25

Step-by-step explanation:

product of 18 and -3=18*-3= -54

positive difference=52-29=23

(18x-3)+56+(52-29)

= -54 + 56 + 23

=25

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