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

PLEASE HELP WITH THESE !!
ILL TRY TO MARK BRAINLIEST !!

Answers

Answer: 1. 32x37.21 =1192

2. 120

3. 12

4. 24

Step-by-step explanation:

1. 15 was used instead of 13 for the height (104 is the corrected area)
2. 894
3. 12
4. 24

I really need help with this, please help

Answers

I sent a link to u that shows the answer to this question:)))
They are alternate interior angles
It’s the same angle degrees

When given a system of equations in​ slope-intercept form, is graphing or substitution the most efficient method to​ solve? Explain.
Choose the best answer below.
A.
Substitution is the only method that should be used if the answer involves integer values. If the answer involves values that are not​ integers, graphing would be more efficient because an exact answer can be obtained. It is easier to read graphs when the point of intersection does not occur at integer values.
B.
Graphing is the only method that would be appropriate to use here because it is not possible to use the substitution method if both equations are in​ slope-intercept form.
C.
Substitution is the only method that would be appropriate to use here because it is not possible to use the graphing method if both equations are in​ slope-intercept form.
D.
Graphing and substitution are appropriate to use if the answer involves integer values. If the answer involves values that are not​ integers, substitution would be more efficient because an exact answer can be obtained. It can be difficult to read graphs if the intersection point does not have integer values so this would be an inefficient method to solve with.

PLEASE HELPPPPP

Answers

In my honest opinion, I would say D. B and C don’t make much sense to me, and I don’t believe A is correct either. So yeah, I’d say D.

A system of equations in​ slope-intercept form can be solved by,

D. Graphing and substitution are appropriate to use if the answer involves integer values. If the answer involves values that are not​ integers, the substitution would be more efficient because an exact answer can be obtained. It can be difficult to read graphs if the intersection point does not have integer values so this would be an inefficient method to solve with.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, a system of equations in​ slope-intercept form y₁ = m₁x₁ + b₁ and

y₂ = m₂x₂ + b₂.

We can use both substitution and graphing depending on the numerical values of the variables.

If the solution involves integer numbers, graphing and substitution are the proper methods to utilize. Substitution would be more effective since an accurate solution may be reached if the solution involves values that are not integers. If the intersection point doesn't have integer values, it can be challenging to understand graphs, so using this approach to solve would be ineffective.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Select the correct answer from each drop-down menu.
A sports apparel company surveyed the market about the size of T-shirts people most frequently buy, small, medium, large, or extra-large. The
table shows the survey results.
T-Shirt Size Number of responses
small
11
mediurn
37
large
83
extra-large
19
To help Its sales, the company should focus on producing size
T-shirts. Approximately % of T-shirts the company
makes should be medium and large T-shirts to match the market preference. If the total number of T-shirts sold in a month is 45,000,
of these will likely be size small.

Answers

Answer:

To help Its sales, the company should focus on producing Large

T-shirts. Approximately 80% of T-shirts the company

makes should be medium and large T-shirts to match the market preference. If the total number of T-shirts sold in a month is 45,000, 3,300

of these will likely be size small.

Step-by-step explanation:

In the survey, Large t-shirts are most frequently bought so they should be the primary focus if the company is trying to make more money.

To find the percentage of shirts that the medium and large shirts make up, first you find the total amount of shirts (11+37+83+19=150), then you will find how many mediuma and large shirts (37+83=120). Percentage is (120/150)*100=80%

To find the number of small shirts you can set up a proportion.

[tex]\frac{11}{150} =\frac{x}{45,000}[/tex], then cross multiply

150x=11*45,000

150x=495,000

x=3,300

Is 3 3/4 in its simplest form?

Please put its simplest form if it has a simplest form

Answers

Answer:

that is the simplist form 3 3/34

Step-by-step explanation:

It’s simplest form, because it’s simplified all the way

Solve for c: c - 10 + 3c < 2

Answers

c > 3:
c -10 + 3c > 2
combine like terms
4c -10 > 2
+10 +10
4c > 12
divide both by 4
c > 3

pppppppplllllllzzzzzz

Answers

Answer:

a. 12÷72= 0.16≈ 0.2

b. 0.2 × 18= 3.6≈ 4

A is 0.2
B is 4
Hole this helps

I would really appreciate some help!
The graph shows the distance, y, that a car traveled in x hours:

Select one:
a. fraction 1 over 50
b. fraction 1 over 25
c. 25
d. 50

Answers

Answer:

C.25

Step-by-step explanation:

In 1 Hour, The car will be able to travel 25 Miles. Hope it Helps!

Answer:

c) 25

Step-by-step explanation:

( 1, 25) and (2, 50)

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

m= (50-25)/(2-1)

m=(25)/(1)

m=25

MATH SMARTIES I WILL GIVE BRAINLIEST THIS IS AREA OF THE COMPOSITE FIGURES. DIRECTIONS-NAME THE SHAPES GIVE THE SHAPES THERE FORMULA FIND THERE AREA THEN SUBTRACT THE ANSWERES YOU GOT FROM THE AREAS AND THAT SHOULD ANSWER MY QUESTION

Answers

Answer:

rectangle triangle trapezium

Step-by-step explanation:

rectangle =length×width(12×7=84)

triangle=1/2base×height(1/2×8×7=28)

trapezium=1/2sum of parallel lines ×height(1/2×(6+2)×7=28)

area of the rectangle subtract area of two trapeziums. (84-{28×2}=28)

Mai started a new exercise program. On the second day, she walked 5 minutes more than on the first day. On the third day, she increased her walking time from day 2 by 20% and walked for 42 minutes. Mai drew a diagram to show her progress.

Answers

Answer:

d = 30 minutes.

day one is equal to 30 minutes

day two is equal to 35 minutes

day three is equal to 42 minutes

Explanation:

The first step is to figure out how much day 2 was worth in total.

Using the model, we can see that 5 of the boxes from day three is equal to day 2.

42/6=7.

One of the boxes equals 7 minutes.

Next we find what all 5 of them equal.

7*5=35.

Day two was worth 35 minutes in total.

The next step is to figure out what d equals. In order to do that, we need to solve the equation:

d + 5 = 35.

subtract 5 from both sides.

d = 30.

Now we know that day one/D is equal to 30 minutes.

Day one: 30 minutes

Day two: 35 minutes

Day three: 42 minutes.

Hope that this is what your looking for. Have a good day and good luck!

Answers
D = 30 minutes

how do you use models to add and subtract fractions that have different denominators?

Answers

Answer:

the langth

Step-by-step explanation:

(Just correcting the other guys spelling) I believe he meant The Length

Here's a riddle
A horse travels a certain distance each day. Strangely enough, two of its legs travel 30 miles each day and the other two legs travel nearly 31 miles. It would seem that two of the horse's legs must be one mile ahead of the other two legs, but of course, this can't be true, since the horse is normal. How is this possible?
You can search the answer

Answers

Answer: the horse does more work on one of the pairs so they went a different distance.

Answer:

The horse operates a mill and travels in a circular clockwise direction. The two outside legs will travel a greater distance than the two inside legs.

Step-by-step explanation:

Can someone help me with these questions

Answers

Answer: you got this try your best

Step-by-step explanation:

Hope this helps you!
(the answers to questions 9 and 10 are in the picture)

The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.




What is the area, in square feet, of the shaded region?


What is the area, in square feet, of the non-shaded region?

Answers

Answer:

Step-by-step explanatioihhin:

Sorry I really need points

which of the following is not a solution for finding the perimeter of the square? 2y+2

Answers

2y + 2 is wrong your welcome
i think it’s 2x + 2y!!

(copy nd paste)
Sue and Cathy have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

Answers

Sue and Cathy would be able to travel a total of 6 miles

Answer:

6 miles

Step-by-step explanation:

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

How do you finish this math equation?

3≤7+g
g≥ ?

Answers

Answer:-4

Step-by-step explanation:

Answer:

3 ≤ 7 + g

7 + g ≥ 3

g ≥ 3 - 7

g ≥ -4

Find the surface area of each prism. ​

Answers

Answer:

105.84 cm²

129 ft²

Step-by-step explanation:

please mark me as brainliest

First one is 105.84cm^2 and the second one is 129ft^2

5z + 2 = 3z - 10

Show your work and I will give you brainlist ​

Answers

Answer:

z = -6

Step-by-step explanation:

5z + 2 = 3z - 10

Subtract 3z from both sides

2z + 2 = -10

Subtract 2 from both sides

2z = -12

Divide each side by 2

z = -6

So, the answer is z = -6

Factor by grouping: x^3+2x^2−6x−12. Which of the following is one of the factors?
A) (x^2−6x)
B) (x^2−6)
C) (x^2+2)
D) (x−2)

Answers

x³+2x²-6x-12=x²•(x+2)-6(x+2)=(x+2)•(x²-6)

If you bought 12 cookies (each cookie for 0.99) how much more would each cookie cost than if you bought them by the dozen? ( A dozen pack is for 6.55)

Answers

6.55 it’s in the question my g

an angle measure 23 degrees more than the measure of its complementary angle . what is the measure

Answers

Answer:

67 degrees or 113 degrees.

Step-by-step explanation:

The other angle is 67 degrees because a complementary angle adds up to 90 degrees. It could also be 113 because that is 23 degrees more than a complementary angle.

Jada is 13 5/6
years old. Sheila is 1 1/3
years older than Jada and Jane is 1 1/4
years older than Sheila. How old is Jane?

Answers

Answer:

16 5/12 years old

Step-by-step explanation:

Just add them all together. You need to find the LCD for them to do that.

Hope this helps!

16 5/12 i believe :)

what is thissssssss????? pls help

Answers

The answers is 8 and 9

Questions are in file/pictures!

(as you can see all my questions are from math lol)

Answers

Answer:20

Step-by-step explanation: I'm good at math and i know the answers

what is 21 divided by 3 + (8 -2 +2)

Answers

15 Bc is u do (8-2+2) it’s still 8 so 21 divided by 3 is 7 plus 8=15

Answer:

15

Step-by-step explanation:

21/3+(8-2+2)

PEMDAS

In the parentheses, we can easily learn that the minus two plus two cancels each other out.

21/3+8

7+8

15

If anything is confusing, let me know and I'll explain it more.

what measurement is equal to 3,000 meters

Answers

Answer:

A distance of 3,000 meters is approximately 1.86 miles or 3 kilometers.

Step-by-step explanation:

hope it HELPPS

Answer:

1.86 miles or 3 kilometers.

1/2 + 1/3 + 6/8 = ???

Answers

19/12 is the answer I hope you have a good day

Answer:

1/2 + 1/3 + 6/8 = 19/12

Step-by-step explanation:

PLEASE NEED HELP ASAP
If 120% of a is equal to 80% of b, then what is the value of a+b in terms of a and b?

Answers

120% of a
80% of b

120% = 120/100 =1.2
80%= 80/100 = 0.8

1.2a=0.8b | ÷1.2
1a = 2/3 b

1.2a=0.8b | ÷0.8
1b=1.5a


(a+b) = ((2/3b)+ (1.5a)) =2/3b + 1.5a
*not 100% sure

Answer:

120/100 a = 80/100 b

12/10 a = 8/10 b

10 (12/10) a = 10 (8/10) b

12a= 8b

3a= 2b

a+b in terms of a

b = 3/2×a

a+ 3/2×a = 5/2×a

a+b in terms of b

a = 2/3×b

b + 2/3.b = 5/3×b

Find three consecutive odd numbers whose sum is 81. *

Answers

26+27+28= 81 so that it is the answer
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