Jason solved the following equation to find the value for x.


–8.5x – 3.5x = –78


x = 6.5


Describe how Jason can check his answer.

Answers

Answer 1
To check his answer, he would put substitute 6.5 for every x in the equation:

-8.75(6.5) - 3.5(6.5) = -78

-56.875 - 22.75 = -78

-79.625 = -78

Because this isn’t true, his answer is wrong
Answer 2

Sample answer:

Substitute the value for x into the original equation. Simplify using order of operations. If the statement is true, Jason’s solution for x is correct. If the statement is false, Jason’s solution for x is incorrect.

Step-by-step explanation: (My answer)

1) Subtract 8.5 and 3.5, that equals 12.

[tex]8.5x - 3.5x = -78[/tex]

2) Multiply 78 and 12, that equals 6.5 .

[tex]\frac{12x}{12} = \frac{78}{12}[/tex]

3) Check your answer.

[tex]-8.5 (6.5) -3.5 (6.5) = -78[/tex]

Multiply 8.5 and 6.5, that equals 55.25. Next, multiply 3.5 and 6.5, that equals 22.75.Finally, you will need to subtract your answers. Subtract both 55.25 and 22.75.

Once you've done that, the answer you should get is 78.

78 is equal to 78, that is your final answer and it is correct.


Related Questions

Let U = {9, 10, 11, 12, 13, 14} and A = {11, 13}. Determine whether the statement A⊂U is true or false and find A'.
a. false; A' = {11, 12, 13, 14}
b. true; A' = {9, 10, 11, 12, 14}
c. false; A' = {9, 12, 14}
d. true; A' = {9, 10, 12, 14}

Answers

Answer:

D; A⊂U is true and A'={9, 10, 12, 14}

Step-by-step explanation:

A={11,13}

Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.

A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}

Define the word evaluate to me. Use proper English and complete sentences.

Answers

Answer:

form an idea of the amount, number, or value of; assess

Step-by-step explanation:

Answer:

I evaluate them for opportunities, "he said. He stopped to evaluate the gilded ornaments."

Ill cash app you a dollar and I’ll mark brainliest!!! Pleaseeee help me and she said to classify everything instead?

Answers

sorry that’s it’s sloppy i tried to write it on my phone. hope this part helps. i’ll try to do the bottom part now

An APD Police officer has to write at least 80 speeding
tickets. How many more tickets must a police officer write
if they have already given 27 speeding tickets? Write and
solve the inequality representing this situation.

Answers

Answer:

x=[tex]\geq[/tex]80-27

Step-by-step explanation:

there is needed atleast 80 tickets and you've given 27 so you would need a minimum of 53 tickets to make the inequilaty true

-3n-4n-17=25
What is n?

Answers

Answer:

-6

Step-by-step explanation:

add -3n and -4n= -7n

add 17 to 25

-7n=42

n=-6

can u guys please help I'm really behind in school I'm in 7th grade ​

Answers

The value of x is 42. Multiply the top and bottom by 6 because the numerator in the first fraction is 2 and the numerator for the second fraction is 12. When you multiply 2 by 6, you get 12. You have to do the same for the denominator. multiply 7 by 6. You get 42. The value of x is equal to 42. Hope this helps.

Answer:

42

Step-by-step explanation:

First, you cross multiply.

12 x 7= 84

2 multiplied by x will give you 2x.

Now, you have the equation below left:

84=2x

Then, you divide by 2 on both sides (in order to leave x by itself):

84/2= 42

x=42

Prove that when 2 lines intersect each other ,then the vertically opposite angles formed are equal.

plz help fast​

Answers

Answer:

Because both lines intersect at one given point, this means that wherever they intersect both lines will have the same length on each side because that one point serves as the half way point between the intersection. meaning that if two lines cross and it creates the vertical angle of 150⁰ then by definition the side that is across that intersection point will also be 150⁰

Answer:

Step-by-step explanation:

If two lines i.e. AB & CD intersect each other. They have two pair of opp. angles.

i.e.

∠AOC,∠DOB,∠AOB,∠COB.

To prove :- ∠AOC=∠DOB & ∠AOD=∠COB

Proof :-

∠AOC+∠AOD=180 °

  [linear pair] ___(1)

∠AOD+∠BOD=180°  

   [linear pair] ___(2)

from eq. (1) & (2)

∠AOC+∠AOD=∠AOD+∠BOD

i.e.  [∠AOC=∠BOD]

Similarly [∠AOD=∠COB]

Hence proved.

Hope this helps

plz mark as brainliest!!!!!!!

2# ANSWER SOON

Write an equation that represents the line

Use exact numbers.

Answers

Answer:

y = -4/3 - 1

Step-by-step explanation:

Find the Unit Rate on a 5-gallon bucket of paint that costs $68.75

Answers

Answer:

$13.75 per gallon

Step-by-step explanation:

To solve for any unit rate you use

[tex]\frac{1}{x} =\frac{5}{68.75}[/tex]

Cross multiply.

So 68.75 = 5x

Divide both sides by 5 to get x alone.

13.75 = x

Therefore 1 gallon equals $13.75

An iPhone costs 7 times as much as an AirPods. Together they cost $1,200. Find the price of the laptop and iPod.

Answers

Answer:

Airpods=$150 iPhone=1050

Step-by-step explanation:

$1,200/8=150 150*7=1050

I might be wrong tho

The midpoint of line segment GH with endpoints G(5,-2) and H(17,8) is:
(11,5)
O (-12, -10)
0 (0,0)
O (11,3)

Answers

Answer:

11,3

Step-by-step explanation: basic midpoint formula


y = x-3
y = x +3
Independent
Dependent
Inconsistent

Answers

Answer:

y = x-3

y = x +3

Dependent

the ratio of boys to girls in your class is 3:4 there are 20 girls in the class how many boys are there ?

Answers

for every 3 boys there is 4 girls

20/4= 5

there is five sets of girls which means there is five sets of boys

3•5=15

there are 15 boys

please answer for brainliest

Answers

Answer:

B

Step-by-step explanation:

abs value of -9 is still 9, so it should be "="

Rebecca writes 1/5 of a page in 1/14 minute. How many pages can she write in one minute? (fraction) pages per minute.

HELP I BEG!!

Answers

Answer:

She can write 2 pages and 4/5 extra.

Step-by-step explanation:

We know that she has already written for 1/14 of a minute. Now we need to turn that fraction into a whole, because the problem is asking for a whole minute.

___ x 1/14 = 1?

14

Now we take the 1/5, and multiply it by the 14 to see how much she writes in a minute.

1/5 x 14 = 14/5

Last we simplify.

14/5 = 2 4/5

CAN SOMEONE PLEASE HELP ME ASAP ILL MARK BRAINLIST

Answers

Answer: 15.6

Step-by-step explanation: k/13 = 6/5 = 15.6

Are x(3x) and 4x equivalent?

Answers

Answer:

They are not equivalent.

Step-by-step explanation:

x(3x) = 4x

x by itself = 1x

1x ( 3x ) = 4x

1x times 3x = 3x

3x = 4x is not equivalent.

Suppose that gas costs Big Ray $2.00/gallon and that he pays an attendant $100/day. Let C(x)
represent the total daily cost as a function of the price of the gas. Find the formula for C(x)

Answers

Answer:

C(x) = 2x + 100

Step-by-step explanation:

Here, we want to find the formula for C(x)

Here, x will be the number of gallons of gas

so per day, if x gallons of gas were consumed, the daily cost here will be x * 2 = $2x

Adding the cost for the attendant, we have 2x + 100

So the formula for C(x) will be;

C(x) = 2x + 100

help me i'm crying
help me

Answers

Answer:

Get a tissue blow your nose and wipe your tears

Step-by-step explanation:

Tell Mommy

Answer:

See below and learn

Step-by-step explanation:

To solve the figure. You need to split the shape up with the lines shown.

Let's solve the top triangle first.

The formula to find the area of a triangle is y = 1/2(b*h)

So the base is 2+2+6 which equals 10. And the height is 4.

So y = 1/2(4*10)

PEMDAS solve parentheses first.

y = 1/2(40)

y = [tex]20cm^{2}[/tex]

Now solve the bottom left one.

y = 1/2(2*2)

y = 1/2(4)

y = [tex]2cm^{2}[/tex]

Now the bottom right triangle.

y = 1/2(6*2)

y = 1/2(12)

y = [tex]6cm^{2}[/tex]

And to solve area of a square is

y = b*h

y = 2*2

y = [tex]4cm^{2}[/tex]

And add all of it up to get

y = [tex]20cm^{2}+2cm^{2} +6cm^{2} +4cm^{2} = 32cm^{2}[/tex]

Area = [tex]32cm^{2}[/tex]

Solve the following equation.
X + 5 = 2x
Can some explain to me how to do this? I have to add one of these numbers to both sides of the equation but idk which one.

Answers

Answer:

x = 5

Step-by-step explanation:

Subtract x from both sides.

Your equation would look like this now:

5 = 1x

Divide both sides by 1.

x = 5

Hope you understand :)

Please consider Brainliest :)

[tex]x + 5 = 2x[/tex]

[tex]5 = 2x - x[/tex]

[tex]5 = 1x[/tex]

[tex]x = 5[/tex]

Let us check whether or not we have found out the correct value of x , by placing 5 in the place of x .

Which means :-

5 + 5 = 2 × 5

10 = 10

LHS = RHS

Hence proved that the value of x = 5 .

Therefore , 5 + 5 = 2 × 5 , ( x = 5 ) .

It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Find the exact length of the third side.
40
32

Answers

the third side is 24

A fish swims at a rate of 8 feet per second. How far can the fish swim in 23
seconds?

Answers

Answer:

8(23) so 184

Step-by-step explanation:

Answer:

it would have traveled 184 feet

Step-by-step explanation:

Since the rate in which the fish is swimming is 8 feet per second and given that we have to figure out the distance in which it traveled in 23 seconds, we can just multiply 8× 23 to receive 184 feet in 23 seconds.

HELPPPPPPPP PLS!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

Set up an equation: (7x - 2) = (11x - 34)Combine like terms: 7x - 11x = 2 - 34Simplify: -4x = -32Divide each side by -4 to cancel out the -4 next to x. It should now look like this: x = 9

I hope this helps!

4) The triangle on the right is an equilateral

Find the value of X and Y

Answers

Answer:

angle Y is 29 degrees

angle X is 120 degrees

Step-by-step explanation:

Well, if the triangle is an equilateral, then all the angles are equal to

60 degrees

that means the the angle at the top point is 60+31 = 91 degrees

the right point is 60 degrees

every triangle has 180 degrees total

180 - (91+60) = 29 degrees

NOW FORGET ABOUT THE EQUILATERAL FOR A BIT

180 = 31+x+29

simplify

180 = 60+x

subtract 60 from both sides

120 = x

The table shows data for the number of customers that shopped each hour at store A and at store B on a Saturday.
Store 8 A.M. 9 A.M. 10 A.M. 11 AM. 12 P.M. 1 P.M.2 P.M. 3 P.M. 4 P.M. 5 P.M.
А
2
3
5
7
10
6
8
9
4
2
B
1
4
4
6
10
8
8
6
4
2
Move the options to the blanks to answer each question.
Which store's data has the greater mean?
Which store's data has the greater median?
Which store's data has greater range?
Store A
Store B

Answers

Answer: the greater mean is Store A, the greater median is Store A, the greater range is Store B

Step-by-step explanation:

First to answer gets brainliest!

Answers

Answer:

it is the first one

Step-by-step explanation:

x2+9x+20 plz help with it​

Answers

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helped!

Answer:

(x + 5)(x + 4)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

x² + 9x + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)

The factors are + 5 and + 4, since

5 × 4 = + 20 and 5 + 4 = + 9 , thus

x² + 9x + 20 = (x + 5)(x + 4) ← in factored form

If you travel 1000 feet in 5 minutes, what is your speed per minutes?

Answers

Answer: 200 feet

Step-by-step explanation:

1000feet/5feet= 200feet

Answer:

200 feet per minute

Step-by-step explanation:

Speed = Distance/Time

Since you want to find the "per minute", you would just divide the total distance by the number of minutes:

1000 feet / 5 minutes = 200 feet per minute

The diameter of the average cell in the human body is 1 x 10^-5 meters. The diameter of a grain of sand is about 2 x 10^-4 meters. The diameter of a human hair is about 0.000025 meters. Part B (3 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.

Answers

4

0.0004/ 0.00001 = 4
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