Mathematics Middle School

What is the simplified expression for 5^-3 x 2^2 x 5^6 / 2^3 x 5^2 1) 2^2/5^2 2) 5/2^2 3) 5/2 4) 5^2/2

1) 2^2/5^2
2) 5/2^2
3) 5/2
4) 5^2/2

Answers

Answer 1

Its: 3) 5/2

Explanation:

too complicated

Answer 2
It’s 3) 5/3
Explanation:

5^-3 x 2^2 x 5^6
_____________

2^3 x 5^2

Now workout the numerator and the denominator.
Multiplication means add the indices.
Same denominators so add up the indices, 5^-3 x 5^6 –> -3 + 6 = 3

5^3 x 2^2
________

2^3 x 5^2

Divide means take the indices away.(Same base number only)
5^3 divided by 5^2 —> 3-2 = 1
5^1 = 5

2^2 divided by 2^3 —> 2-3 = -1
2^-1 = 1/2 or 0.5
Then the answer is 5/0.5 which is 2.5
And 5/2 is equal to 2.5 so it must be number 3

Related Questions

John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?

points :)

Answers

Answer:

His error was that he used the wrong transformations. The transformations should have been 4 left and 7 down. Instead, John used the transformations of 4 right and 7 up. I hope this helps!

Step-by-step explanation:

help ill give brainlest pls

Answers

Answer:

B and C

Step-by-step explanation:

This is because while C is smaller, it has the same angles as B.

I mean I would go with b and c it just seems that those are the only actual reasonable answers there

Help me pleasee!!!!!

Answers

Answer:

option C is the correct answer

Option C because, Imagine you are dropping them all down in the same bottom angle. Then they all fit! That’s how you should know how those are the same angle. At first you won’t understand then next you get it

PLs HElp duw in a few secs 50 points!!!!

Answers

Answer:

[tex]f(t)=5 \cdot 3^t[/tex]

The following statements are true:

t = independent variablef(t) = dependent variableWhen f(5) = 1215, the "5" represents "5 years" and the 1215 represents 1215000 which is "1.215 million cars sold"

d, e, and f are all correct

24x - 17 x ≥ 13x +15

Pls solve and add the equation if you can thank you :)

Answers

Given :-

[tex]24x - 17 x ≥ 13x +15[/tex]

Solving it,

[tex](24 - 17)x \geqslant 13x + 15[/tex]

[tex] = > 7x \geqslant 13x + 15[/tex]

[tex] = > 7x - 13x \geqslant 15[/tex]

[tex] = > (7 - 13) x \geqslant 15[/tex]

[tex] = > - 6x \geqslant 15[/tex]

[tex] = > x \leqslant - \frac{15}{6}[/tex]

By reducing to lowest terms, we get,

[tex]x \leqslant - \frac{5}{2}[/tex]

So, Value of x is [tex] - \frac{5}{2}[/tex]

Simplifying
24x + -17x = 13x + -15

Combine like terms: 24x + -17x = 7x
7x = 13x + -15

Reorder the terms:
7x = -15 + 13x

Solving
7x = -15 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
7x + -13x = -15 + 13x + -13x

Combine like terms: 7x + -13x = -6x
-6x = -15 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6x = -15 + 0
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

What did the independence movements of Vietnam and Algeria have in common?


a

They were both American colonies.


b

They were both British colonies.


c

They were both French colonies.


d

They were both Japanese colonies.

Answers

Answer:

Its probably D.

Step-by-step explanation:

vietnam is a Japanese Colony and thats all i know

(i hope this helps)

HELPPPPPPPPPPPPP ME!!!

Answers

Answer:

180 squred feet

Step-by-step explanation:

We simply multiply all three different areas of surfaces by two

Ben and Arnoldo are sharing snacks. They have peanut treats and coconut treats. Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories. Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories. They wrote the system below to represent the number of calories there are in the two types of treats.

2 x + 4 y = 160. 3 x + 2 y = 140.

They found the solution to be (30, 25). How many calories are in each treat?

Answers

Answer:

It means there are 30 calories in peanut treat and 25 calories in coconut treat.

Step-by-step explanation:

There are 30 calories in peanut treat and 25 calories in coconut treat.

Given: Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories.

The equation corresponding to the above statement is

Also, Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories.

The equation corresponding to the above statement is

i.e. x represents the number of calories in one peanut treat and y represents the number of calories in one coconut treat.

Also, the solution of system of linear equations is in the form of (x,y).

The given solution : (30,25)

It means there are 30 calories in peanut treat and 25 calories in coconut treat.

Match each number to its opposite. 1. -17 1 __
2. -8 -31 __
3. -1 -11 __
4. 31 17 __
5. 11 8 __

Answers

Answer:A 117/55

Step-by-step explanation:Hope this helps

If the area of the rectangle is 112 square units, what is the area of the dark shaded part?

Answers

                                                   ‎‎‎‎‎‎‎‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

What is ((29-20)+30) - 1

Answers

Answer:

38

Step-by-step explanation:

((29-20)+30)-1

(9+30)-1

39-1

38

Answer:

40

Step-by-step explanation:

Because you do parentheses  first left to right so

29-20=1111+30=41And last-1=40

Please help and hurry!

Answers

A is the best answer…

Work:

-10x-(-4y) will equal -10x+4y the minus minus will cancel out

Please like and brainiest
Answer:
-10x-(-4y)

step-by-step explanation:
-10x-(-4y) = -10x+4y
-(-4y) = positive 4y

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 10^7 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 10^8 kilometers. About how many more kilometers is the distance of Earth from the Sun than the distance of Mercury from the Sun? (1 point)

4.3 ⋅ 10^7 kilometers
9.2 ⋅ 10^7 kilometers
9.2 ⋅ 10^8 kilometers
5.7 ⋅ 10^9 kilometers

Answers

Answer:

The answer is 9.2 * 10^7

Step-by-step explanation:

(1.5*10^8)-(5.8*10^7)=92,000,000

92,000,000= 9.2* 10^7

Or a more easier way to say is its b. Goodluck

The class is filling boxes that each hold 10 pieces of candy. Maria filled
6

4
5
boxes, Lucas filled
5

1
2
boxes, and Mateo filled
3

7
10
boxes. If they combine their candy and completely fill each box, how many full boxes will there be?

Answers

Answer:

16 boxes

Step-by-step explanation:

6 4/5+ 5 1/2+ 3 7/10

make all fractions with common denominators

6 8/10 + 5 5/10 + 3 7/10

combine like terms

6+5+3= 14

8+5+7 = 20/10 = 2

14+2 = 16

Answer:

550 pieces of candy (total), 150 pieces of candy for Maria, 200 pieces of candy for Lucas, 200 pieces of candy for Mateo.

Step-by-step explanation:

Maria filled

6 + 4 + 5 = 15 boxes of candy.

Lucas filled

3 + 7 + 10 = 20 boxes of candy.

Mateo filled

3 + 7 + 10 = 20 boxes of candy.

x = 10 pieces of candy.

15x = 150 pieces of candy (Maria).

20x = 200 pieces of candy (Lucas).

20x = 200 pieces of candy (Mateo).

150 + 200 + 200 = 550 pieces of candy in total.

3. What CAN you do when serving the volleyball?
a. Stand on or over the service line.

b. Hit the ball out of bounds.

c. Have a teammate help the ball over the net on the serve.

d. Hit the net and the ball goes over to the other side.

Answers

Answer:

D because none of the others work. you have to stand behind the service line. you can't hit the ball out of bounds. a teammate can't touch it.

When you see a power raised to another power you should keep the base and multiply the exponents.

True or false​

Answers

Answer:

True hope it helps

The answer is true. Hope this helped!!

What is 8.5% tax on $40 purchase​

Answers

Answer:

$43.40

Step-by-step explanation:

8.5 tax on a 40 dollar purchase is

43.40

Directions: Match the slope and y-intercept values to the correct boxes below.

PLEASE HELP!!!!!!

Answers

Answer:

slope is -3

y-intercept is 3

Step-by-step explanation:

Answer:

y-intercept: 3

Slope: -3

Step-by-step explanation:

y-intercept

To find the y-intercept, see what point on the y-axis (vertical bold line on the graph) the line passes through.

Slope

To find slope, find 2 points (from left to right) on the line and and put the height difference over the width difference in a fraction (simplify if possible). At points (0,3) and (1,0) there is a height drop of 3 (so -3) and a width of 1 and [tex]\frac{-3}{1}[/tex] gives you a slope of -3.

help ill give brainlest pls

Answers

B. (x, y) -> (-y, x) is your answer

whoever answers correctly = brainliest

Answers

Answer:

fx

Step-by-step explanation:

B= 42 in simple way take 42+90 which is 138 and then subtract 138 from 180 since a triangle has 180 degrees in total and since 48 is already the other side leaves b to be 42

Miles owes one of his friends $8. If he borrows $15 from his parents, which of the following expressions could be used to find how much money he owes?

Answers

-8 + 15 can be used as an expression to find out how much money he owes.
-8 + 15 would be the correct answer being that the outcome will show you the exact positive amount that is owed

7b - 15 = 5b - 3




5c + 16.5 = 13.5 + 10c




20 + 3y = 10 - 2y




17 + 4h + 2 = 1 - 5h

Answers

1. 7b-15=5b-3

move 5b and 15

7b - 5b = -3 + 15

2b=12

b=6

2. 5c + 16.5 = 13.5 + 10c

5c=3

c=3/5

3. 20 + 3y = 10 - 2y

-5y=10

y=-2

4. 17 + 4h + 2 = 1 - 5h

19 + 4h = 1 - 5h

-9h=18

h=-2

1. b=6
2. c=3/5
3. y=-2
4.h=2

CAN SOMEONE HELP ME HERE PLEASE I ONLY HAVE THESE LEFT AND IM CONFUSED

Answers

Answer: B pickup truck a to b is 200 in 10secs c to d is 300 in 10secs you drive 40 miles in 20 min then you stop to get gas for 10 min then drive 40 miles back for 20 min.

Step-by-step explanation: cocomelan

The temperature in Chicago was reported as 2.5 degrees F below zero. The temperature in Detroit was reported as 1.5 degrees F above zero. The temperature in Chicago can be reported as:
a) 2.5 degrees F
b) -2.5 degrees F

Answers

Answer:

It would be B) -2.5 degrees F

Step-by-step explanation:

If it was 2.5 BELOW zero that would put it -2.5

2) Thomas wants to find the difference
1/2 (6x - 2) - (2x + 1)

He does the following:

1/2 (6x - 2) - (2x + 1)
3x - 1 - x + 1/2 =
3x + x - 1 + 1/2 =
4x - 1/2

Is this correct? If not, show the correct procedure and explain where Thomas made his mistake.​

Answers

He is not correct, his mistake was multiplying 1/2 to 2x and 1, when you should have multiplied the negative to them.

Answer:

Thomas is not correct, x-2 is the correct answer

Step-by-step explanation:

Thomas made his mistake by multiplying the 1/2 by both (6x-2) and -(2x+1). Thomas should have multiplied the 1/2 by just the (6x-2).

Correct procedure:

1/2 (6x-2)-(2x+1)

(3x-1)-(2x+1)

3x-1-2x-1

x-2

Please answer this I question I need help
Thanks,
6 points for answering ( plus brainliest if correct :)

Answers

Answer:

1/9 chance for grey and the chance of getting 5

Step-by-step explanation:

well the shade is 2 shaded and 18 boxed simplify to 1/9

Hope This Helped!

I believe it is 1/9 for gray

(SHOW UR WORK) What is the result of 90.425 subtracted from 48.4?


20 points

Answers

90.425-48.4 is 42.025

Answer:

-42.025 hope this helps

Step-by-step explanation:

How can this model be used to verify the Pythagorean Theorem?

PLEASE HELP!!!!!!!!

A - Show that perimeters are the same.



B - Show that 16+9=25.



C - Show that 3+4=5.



D - Take the square root of 16.

Answers

Step-by-step explanation:

i think the answer is D but as i said . the base of so many right triangles sides are 3 ,4,5 so if you divide the biggest of them by 5 and divide the medium one by 4 and divide lowest one by 3 you should see a same number i think . but here you cant see

help pls. 20 pts


Match each rational number with a point on the number line.
(Be sure to use the numbers 1 through 4 to indicate which rational number goes in each answer box)

Answers

Answer:

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Step-by-step explanation:

Consider the provided number line.

From the number line we can observed that:

1) A, B, C and D lies between -1 and 0.

2) Point A and B lies between -1 and -0.5

3) Point C and D lies between -0.5 and 0

Therefore, the value of A and B must have a negative value lying between -1 and -0.5

Also, the value of C and D must have a negative value lying between -0.5 and 0.

Now consider the provided options.

Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16

This is Incorrect representation because the value of A and B should lying between -1 and -0.5.

Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.

Also they are in ascending order from -1 to 0.

Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Step-by-step explanation:

Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 20 to 36, in increments of 1. A left whisker extends from 24 to 27. The box extends from 27 to 33 and is divided into 2 parts by a vertical line segment at 31. The right whisker extends from 33 to 34. All values estimated.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
242424, 272727, 292929, 303030, 303030, 313131, 323232, 343434, 343434

(Choice B)
B
242424, 252525, 292929, 303030, 303030, 313131, 343434, 343434, 343434

(Choice C)
C
242424, 252525, 292929, 313131, 313131, 313131, 323232, 343434, 353535

(Choice D)
D
242424, 252525, 292929, 303030, 313131, 313131, 323232, 343434, 3434

Answers

B)1,3,6,8,10,12,13,13,16,18,19

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