Prove that if -5(x + 4) = 70, the x = -18. Write a justification for each step.

Answers

Answer 1

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+4)=70

Step 1: Simplify both sides of the equation.

−5(x+4)=70

(−5)(x)+(−5)(4)=70(Distribute)

−5x+−20=70

−5x−20=70

Step 2: Add 20 to both sides.

−5x−20+20=70+20

−5x=90

Step 3: Divide both sides by -5.

−5x

−5

=

90

−5

x=−18

Answer 2

Answer:

x=-18

Step-by-step explanation:

-5(x+4)=70

x+4=-14

x=-14-4

x=-18


Related Questions

A Sand dune stands 5 feet above sea level. the hill is eroding at a rate of 1 foot per 20 years. let y represent the height of the sand dune after x years. which equation represents the situation

Answers

Answer:

5 - (1 + 20) = yx

Step-by-step explanation:

So if 5ft is the original height, we would need to distribute that to decrease in the following years. That is where the 5 - comes from. Next we know that is it is eroding 1 foot in 20 years so that is 5- (1+20) You HAVE to distribute that and not add. Then it equals y the height of the dune in x, the years. Honestly 5 feet above sea level is kinda puny for a sand dune ;P.

When is the accounting equation used?

Answers

Answer:

It is used in double-entry accounting.

real numbers are the set of numbers that includes all rational and irrational numbers

Answers

Answer:

it is absolutely correct

solve the equation:
6x = x^2+ 19

Answers

Answer:

as below

Step-by-step explanation:

6= x^2 + 19

x^2=6-19

x^2 = - 9

sqrt ( x^2) = sqrt (-9)   :o   sqrt of a negative?  yes.. use i for the negative.. this is a complex number  .. hope you've been studying those

x = i* sqrt (9)

+- x = i3  so there are technically two answers  

x=i3

and -x=i3  often times the negative answer makes no sense.. so you discard it    

8) A diver is swimming 20 feet below sea level. He sees asea turtle 10 feet below him. How deep is the sea
turtle? Write a mathematical expression to represent
the situation.

Answers

The answer would be 30 ft below sea level

Graph the line that represents this equation: y + 2 = (1+2) Drawing Tools Select Point Line​

Answers

Answer:

Look at the desmos graph below

Step-by-step explanation:

a scale drawing of a school bus has a scale of 0.5 inch to 5 feet. if the length of the school bus is 4.5 inches on the scale drawing, what is the actual length of the school bus

Answers

Answer:

45 Feet

Step-by-step explanation:

0.5 goes into 4.5 9 times so 9 times 5 = 45

In a neighborhood of 72 families. 18 families on one or more cats. Write the number of families who own one or more cat as a fraction. Then write the fraction as a decimal.

Answers

Answer:

0.25

Step-by-step explanation:

The fraction is 18/72. The decimal is different. If you divide 72 by 18, you get 4. That tells you how it is in a quarter, aka four pieces. Divide 100 by 4, you get 25. That’s why the  answer is 0.25

what is 50x9000x400.5

Answers

50×9000×400.5

Multiply the decimal by a number so that the result equals a whole number

20025×9000

Multiply the numbers

180225000

Answer: 180225000

Alternate form:1.80225×10^8

PLEASE MARK ME AS BRAINLIEST

equation in slope y-intercept form and identify the slop and y-intercept of the line: 2x-5y=15

Answers

Answer:

y=2/5x - 3

slope is 2/5

y intercept is -3

Step-by-step explanation:

list the factors of the following
1. 4
2. 9
3. 20
kindly help plz

Answers

Answer:

1. 1, 2, 4

2. 1, 3, 9

3. 1, 2, 4, 5, 10, 20

Step-by-step explanation:

Answer:

1. 8,12,16,20,24, etc , 2 . 18,27,36,45, etc, 3. 40,60,80,100,120,140 etc

Step-by-step explanation:

1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture.

Answers

Step-by-step explanation:

Solve 3kx + 24 = 9 kx for x.

Answers

Answer:

Step-by-step explanation:

3kx + 24 = 9kx

First subtract 3kx to both sides.

24 = 9kx  - 3kx

24 = 6kx

Divide both sides by 6

24/6 = kx

4 = kx

Divide both sides by k.

4/k = x

Andrew participated in a bicycle race. The total distance covered was 56
miles. If he cycled at a constant rate of 14 miles per hour, how much time
did Andrew take to complete the race?
O A) 1 hr.
B) 4 hr.
C) 7 hr.
OD 9 hr.

Answers

(B) 4 hr is the correct answer.

Explanation :

★ Speed of body is defined as the ratio of distance travelled to the time taken[tex].[/tex]

speed = distance/time

Given that,

distance = 56 miles

speed = 14 miles per hour

By substituting the values, we get

⭆ time = distance/speed

⭆ time = 56/14

time = 4 hr

Hope It Helps!

Answer:

B

Step-by-step explanation:

A pizza restaurant charges a flat fee for a plain cheese pizza. There is an extra charge for any additional toppings. The cost of a pizza can be determined from the equation c=0.5m+5, where M is the number of additional toppings and see is the cost of the pizza ordered. What are the interpretations of slope and Y intercept in the equation?

Answers

Answer:

The y-intercept is the flat fee for the pizza - $5. The slope is the charge for each additional topping - $.50

Step-by-step explanation:

c=.5m+5

y=mx+b - slope intercept formula

In the slope-intercept formula, the 'b' is the y-intercept. We know that would be the flat fee because there is no variable attached to it.

In that formala, m is the slope and is attached to a variable, x. This problem uses the variable m instead of x, but we can see that the slope for .5m would be .5. Thus, that's the charge for the toppings. Hope that helps!

⭐️ I NEED HELP ASAP: Sam and Joe are brothers. Joe is five less than three times the age of Sam. If the product of their ages is 28, how old are Joe and Sam?

Please explain how you solved it too! Thank you!

Answers

Answer:

joe=6

Sam=11

Step-by-step explanation:

lets see...

i explain 1by1

firstly we know that joe is 5 - 3 x Sam

(read the sentences VERY CAREFULLY)

then, we put Sam as math variable "s"

it will be; 5-3 x S

[tex]5 - 3 \times s[/tex]

the total of their age is 28

[tex]5 - 3 \times s = 28[/tex]

simplify it

it will be 5-S3=28

then you will get 11 right

that will be sam's age

-5 and it will be Joe's age

Marlene is buying clothes online. she can pay one fee for the shipping of $8, and can get shirts on sale for $12 each. if her total was $104, how many shirts did she buy

Answers

Answer

8

Step-by-step explanation:

104 - 8, and then divide 96 by 12 equals 8

The value of a car depreciates by 15% each year. The value of the car when new is $14000. WHat will be the value of the car after 1 year.

Answers

Answer:

$11,900

Step-by-step explanation:

Hi.
I need to confirm if I am correct .

Approximate the following numbers to :
(I) 1 s.f (one significant figure)
(II) 2 s.f ( two significant figure)
(III) 3 s.f (three significant figure).

(a). 0.004816
(b). 50.00168
(c). 0.0009812​

Answers

Answer:

(a)

1 sig: 0.005

2 sig: 0.0048

3 sig: 0.00482

(b)

1 sig: 50

2 sig: 50.

3 sig: 50.0

(c)

1 sig: 0.0010

2 sig: 0.00098

3 sig: 0.000981

Step-by-step explanation:

Significant Figures Rules:

Any non-zero digit is significant.Any trailing zeros after the decimal is significant.Any zeros between 2 significant digits are significant.Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.

(a)

0.004816 - the zeros are placeholders, so they do not count as sig figs.

(b)

50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.

(c)

0.0009812 - the zeros are placeholders, so they do not count as sig figs

explain how this vertical number line can be used to show that 35,124 rounds 35,000 when rounding to the nearest thousand.

Answers

Answer:

35,124 rounds to 35,000 because 35,124 is less than the midpoint 35,500 so it is closer to 35,000.

Step-by-step explanation:

There ya go, hope this helps! Have a great day :)

Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30.75 altogether. How much money did each boy receive?

Answers

Answer:

Each boy recieved $25.25 each

Step-by-step explanation:

First, you add up all the money the 3 boys spent.

15+15+15=45

Then you add the sum of the equation to the amount all the boys had afterward.

45+30.75=75.75

Finally, you divide that product to 3 boys.

75.75/3=25.25

Therfore the answer is $25.25 each.      

A figure with 4 sets of parallel sides is graphed on a grid. The figure is then rotated 90 degrees clockwise. How many pairs of parallel sides does the figure have after the rotation?

Answers

Answer:

Step-by-step explanation:

After being rotated by 90 degrees, the figure has 4 pairs of parallel sides.

What is 90° rotation of an object?

The transformation P(x, y) P' can be used to represent a 90° rotation for any point in the plane (x, y) (-y, x). This transition can be produced by applying two reflections.Transformation involves moving a shape from one position to another  

Given data ,

A figure with 4 sets of parallel sides is graphed on a grid

The figures with 4 sets parallel sides are : Rhombus, Square , Rectangle

The figure is then rotated 90° clockwise

Now ,

90 degrees clockwise transformation carries the square , rhombus as well as the rectangle onto itself that is after rotation there will be 4 pairs of parallel sides

Hence , after being rotated by 90 degrees, the figure has 4 pairs of parallel sides.

To learn more about rotation of object click :

https://brainly.com/question/28573047

#SPJ2

Identify the following referance angle.
-130°
a.-50°
b.-130°
c. 130°
0.50

Answers

The answer would be b.-130

What are the factors of 9a-3

Answers

Answer:

9, -3

Step-by-step explanation:

Answer:

9 and -3 are the factors of 9a-3

How long is this line segment?
PLEASE EXPLAIN!!!​

Answers

It's 2.6 units long. You just use the ruler on it.

Solve the following equation and then check your solution. Show all of your work.
-17 + 7 = 33

Answers

Answer:

thats a false equation

This is an equation with no solutions. -10 does not equal 33.

If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A. -7 and -3
B. -3 and 7
C. -7 and 3
D. 3 and 7

Answers

Answer:

B,‒3&7

Step-by-step explanation:

(x‒7)=0 (x+3)=0

x=0+7 x=0‒3

x=7 x=‒3

i hope it helps you

This is due today and I need some help please

Answers

answer: d

explanation: it is multiplied by 10^-4, so move the decimal 4 places to the left

tips: negative=move to the left
and positive= move to the right

Answer:

3.652 x 10^-4 = 0.0003652 (B)

Step-by-step explanation:

Since the exponent of the scientific notation is negative, move the decimal point 4 places to the left.

Hope this helps.

What is 86 X 10^4 the right andswer

Answers

The answer is 860,000

(WILL GIVE LOTS OF POINTS, PLEASE HELP!!!) The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. (Enter the smaller leg of the triangle first.) Do not solve the equation.

Answers

Answer:

(COS) and something I forgot dude

Step-by-step explanation:

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