Mathematics Middle School

Prove that the value of the expression (2^10+2^8)(2^5-2^3) is divisible by 60
I WILL MARK BRAINLIEST!!!!!!1
Should be written like __*60
Fill in the blank

Answers

Answer 1

Let's simplify it, because if we do, we can find the value and then deduce whether it is divisible by 60.

2^10 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

2^10 = 1,024

2^8 = 256

2^5 = 32

2^3 = 8

Substitute the expressions in the equation for their values...

(1,024+256)(32-8)

Simplify...

(1,280)(24)

Simplify...

30,720

Now, divide it by 60...

512 * 60 = 30,720

512*60=(2^10+2^8)(2^5-2^3)

Related Questions

Victor rides his bike the same distance to and from school each day. He also rides 3.6 miles round trip each day to go to soccer practice. During a 5-day school week, he rides a total of 43 miles. What is the round trip distance to and from school? Explain how you solved the problem.

Answers

Answer:

5 miles

Step-by-step explanation:

1. we have to figure out how many miles of the total 43 miles victor rides to and from school by subtracting the product of five days worth of soccer practice trips from the total miles per school week but that will give us one weeks worth of school trips, so we need to divide to find how long is one days worth.

2. we know victor goes to soccer and back every school day and its a 3.6 mile round trip so we have to multiply 3.6 by 5 because thats how many days are in a week which gives us 18.

3. next, we have to subtract our product (18) from our overall mileage (43) so the equation is: 43 - 18 = x (x being the trip to school and back) giving us 25.

4. the last step is we have to divide 25 by 5 because that subtraction just gave us the entire weeks' worth of biking to school and back, we just want one day. so we will divide and get 5. victor's round trip distance to and from school is 5 miles.

GIVING THANKS AND BRAINLIEST FOR BEST ANSWER <3
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Answers

Answer:

Its D

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

if u dont mind giving me brainliest, im just trying to rank up

Can you please set up and solve an equation for 3 and 4?

Answers

3) 4
4) 3 it want me to type extra

Answer:

3) 4

4) 3

Step-by-step explanation:

The temperature was -25 degrees and rose 18 degrees. Which ADDITION equation correctly represent this situation?
A. -25 - 18= -43
B. -25 + 18 = 7
C. -25 + 18 = -7
D. 25 + 18 = 43

Answers

C:-25+18-7 is the right answer
C................................

Ms. Sacco needs to have her car repaired, but she does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Sacco’s budget? *

A. 140x ≤ 375
B. 40 + 100x > 225
C. 100 + 40x ≤ 375
D. 100 + 40x > 375

Answers

Answer:

I believe it is C

Step-by-step explanation:

Answer is C YES Bacause I know and I know cus it's true

can someone help me please

Answers

Answer:

Step-by-step explanation:

Answer:

This is the correct answer

A women buys a brand new premium recliner. it can reclined back to a 138 degree angle. what is the angle from the back of the recliner to the ground while it is reclined?

Answers

Jxhxhxudfififvucucjcjcjxuxucuc
Gshehshsveheksmsbsgsusjsnsbsbsh same

Line AOB is a straight line.

Line A O B is a straight line. Line C comes out of point O.
Which statements are true about the angles in the figure? Select three options.
Angle A O C and Angle C O B are complementary angles.
Angle A O C and Angle C O B are supplementary angles.
Angle A O C and Angle C O B are adjacent angles.
Angle A O C and Angle C O B are vertical angles.
Angle A O C and Angle C O B are a linear pair of a

Answers

Answer: 2, 3, 5

Step-by-step explanation:

Find angle FCB
sorry that its dark..

Answers

143 degrees (angles on a straight line)
First you need to find variable g. We know that 53+g=90. So g=37

Next, we know that angle FCA is congruent to angle g.

To find angle FCB, you take 180-37=143.
The reason for this is we know line AB is a straight line so it equals 180 degrees.

FCB=143

create a verbal expression with the equation 7(2j + 3 + 2j).

Answers

Answer:

28j+21

Step-by-step explanation:

remember to isolate the variable. in this case it would be j. after you do that it should be pretty simple

Need help asap

A. The right side of the equation should be 6 after subtracting -24 from each side

B. The left side of the equation should be -r after dividing each side by -6

C. The left side of the equation should be -24 + 6r after distributing

???

Answers

Answer:

C is the answer

Step-by-step explanation:

1. distribute (multiply) -6 to 4

2. than -r

3. answer would be -24 - 6 = 30

-6r shouldn't be positive. It should stay negative

help with 17,19,21,and 23

Answers

17. B
19. A
21. B
23. A

Answer:

17.B

18.A

19.B

20.A

Step-by-step explanation:

Can I get brainiest?

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression represents the expected population next year? Explain how you got your answer

Answers

Answer:

1.75 p

Step-by-step explanation:

if you wouldn't mind giving me brainliest, i'm just trying to rank up.

Answer:

1.75p

Step-by-step explanation:

How do you solve this?
~*[Please help]*~
A cell phone company sold 450 cell phones in three hours. This was 30% of the number of cell phones did the phone company sell that day?

Answers

This has to be 20 characters long so I’m just saying stuff but it’s 1500

Answer:

The cell phone company sold 1,500 phones that day.

Step-by-step explanation:

450 x 100 = 45,000

45,000 ÷ 30 = 1,500

Giving brainliest to right answer <3

Answers

Answer:

42, C i think


Explanation:

A car traveling at 25 mi/h accelerates to 48 mi/h over the first 5 seconds. It maintains that speed for the next 5 seconds, and then slows to a stop during the next 5 seconds.

Which graph below could match the situation described?

Answers

Graph b
The car accelerates then stays that way then it stops

What is the gcf of 16xy and 24xy

I was supposed to finish this an hour ago

Answers

The GCF is 8xy

Hope this helps
The GCF is 8xy. I’m sure

guys need help asap plz ill give brainliest to first person that is correct. you put the answer for 1c and 2 below. I just need the answers plz help. AND DONT ANSWER FOR POINTS OR I WILL REPORT YOU. please i beg you i have lost hundreds of points because of people who do that.

Answers

But where is the question???
We need to see a the question

please help,will give Brainliest

Answers

Answer:

Step-by-step explanation:

i need money

PLSSSSSSSSS WILL GIVE 3 FREE BRAINLIEST

Answers

I am pretty sure it is c or b
Answer: C

You can immediately get rid of B, because it is not proportional to 8:6.
Now just check each one with a calculator.
8/14 = 6/10.5, so it is proportional.

answer the questions below please and thank you. i need the area !!!!

will give brainliest.

Answers

30.28
And
158.13 are the answes

Answer:

A

Step-by-step explanation:

formula for area of semicircle = pi(radius) = 3.14(2)

= 6.28

The area of the rectangle is length(width) = 4(6) = 24

6.28+24 = 30.28

Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. In cubic inches, how much greater is the volume of Box A?

Answers

Answer:

Box A's volume is bigger by 864 cubic inches

Step-by-step explanation:

12 × 18 × 24 = 5184

12 × 12 × 30 = 4320

Then we subtract. 5184 - 4320 = 864

You do 12x18x24=5,184

I need help with this math question. Please help!

Answers

Answer:

A) 19,30

Step-by-step explanation:

Add the x-values to 2(4)=8

Tanya is a professional shopper and is always looking for the better deal. She was looking to purchase a new television and found some great prices in the sales ad. Which store should Tanya purchase her new television to get the better deal?

Answers

Answer:

Higher prices better TV, lower prices, not better than higher prices, expansive one can use longer than the cheaper one.

The answer above or below is correct

QUICK ITS DUE IN 10 MIN !! ILL GIVE BRAINLIEST
The area of the woodland ecosystem is 19,900 square feet at the end of 2020 due to some deforestation. What was the population density of the new deer population at the end of 2020?


This is also part of science

Answers

Two plus two 20 feet 199000 square feet

Answer: I think its 18,000

Step-by-step explanation:

pls who ever answers it first gets a brainliest

Answers

Answer:

15 in

Step-by-step explanation:

36-21=15          

Explain how you use substitution to solve a system of linear equations.

Answers

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Answer:     Step 1 : First, solve one linear equation for y in terms of x .

   Step 2 : Then substitute that expression for y in the other linear equation.

   Step 3 : Solve this, and you have the x -coordinate of the intersection.

   Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation: MARK ME AS BRAINLIEST PLEASE PLEASE PLEASE!!!

what is –2.5(7.5 – 3x)?

Answers

Answer:

-18.75 + 7.5x

Step-by-step explanation:

-2.5(7.5 - 3x)

you can seperate it into

-2.5 * 7.5 and -2.5 * -3x

-2.5 * 7.5 = - 18.75

-2.5 * -3x = 7.5x

so... -2.5(7.5 - 3x) = -18.75 + 7.5x

Please help thanks :)

Answers

Answer:

$252

Step-by-step explanation:

Price = (400)(0.7)(0.9) = 252

Answer: D

Step-by-step explanation:

Please help me, there are 4 questions here.

Answers

The answer is c. The answer is c
9. 37.84


10. 7.25


11. 6.1


12.Alicia won by 5.1 seconds
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