Mathematics Middle School

Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power?

A)11 to the 7th power over 11 to the 7th power
B)11 ⋅ 114
C)11 to the 0 power over 11 to the 5th power
D)110

Answers

Answer 1
none of the above. 11^8/11^3 is 11^5 since you will just subtract exponents. The numerical value is 161051
although you should have an option that either is 11^5 or equals 11^5 like 11^15/11^10 for example
Answer 2
Answer:

Option: B is the correct answer.

                          [tex]B)\ 11\cdot 11^4[/tex]

Step-by-step explanation:

We are given a numerical expression as:

    11 to the 8th power over 11 to the 3rd power.

i.e. mathematically it is given by:

[tex]\dfrac{11^8}{11^3}[/tex]

Now, we know that if the numerator and the denominator terms are power terms such that both the terms are of same base then the resultant is the same base and the exponent of the base is: exponent of numerator minus exponent of denominator.

i.e.

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

Here we have:

[tex]a=11,\ m=8\ and\ n=3[/tex]

Hence, we get:

[tex]\dfrac{11^8}{11^3}=11^{8-3}[/tex]

i.e.

[tex]\dfrac{11^8}{11^3}=11^5[/tex]

Now, this could also be written as:

[tex]\dfrac{11^8}{11^3}=11\cdot 11^4[/tex]

( since,

[tex]a^m\cdot a^n=a^{m+n}\\\\i.e.\\\\11^1\cdot 11^4=11^{4+1}=11^5[/tex] )

             

Related Questions

My GCSE question for my friend
Plz help him and me

Answers

The answer is:  "400 pizzas" .
____________________________________
Explanation:
____________________________________
For ham:
____________________________________
[tex] \frac{20}{60} = \frac{2}{6} [/tex] = (2÷2)/(6÷2) = [tex] \frac{1}{3} [/tex]  ,

{Note:   Sample of "60" ;  Refer to "20" for "ham" on the table.}.
______________________________________________

[tex] \frac{1}{3} *1200[/tex]  = 400 .

{Note:  "1200 students" at the school; as given in the problem.}.
________________________________________________________
The answer is:  "400 pizzas".
_______________________________________________________
The assumption is that each student is gets to eat ONE WHOLE PIZZA for one's self ; or at least GAIN — or OBTAIN — ONE WHOLE PIZZA for oneself—each.   If EACH STUDENT is going to "eat less", or "obtain" less"; or "be allotted"—LESS THAN ONE WHOLE PIZZA EACH;  the answer:  "400 pizzas" would decrease.
_______________________________________________________
{Note that there are no such specifications given in the problem; as such, I mentioned "one whole pizza each"; or "be allotted one whole pizza each" (that one could, for instance, take home the rest for ONESELF).}.
________________________________________________________

Dr. Wong can see 9 patients in 2 hours. At this rate, how long would it take her to see 72 patients?

Answers

It will take Dr .Wong 16 hours to see 72 patients.

in case you need to show work:

72/9=8                 72 divided by 9 equals 8

2x8=16hrs          you multiply the 8 nd the 2 hours and you get 16.

How many times heavier is a 16 1/2 pound rockthen a 10 1/2 pound rock

Answers

A 16 1/2 pound rock is 6 more pounds heavier than a 10 1/2 pound rock.

Answer: [tex]16\dfrac{1}{2}[/tex] pound rock is 1.571 times heavier than [tex]10\dfrac{1}{2}[/tex] pounds rock.

Step-by-step explanation:

Since we have given that

Quantity of rock = [tex]16\dfrac{1}{2}\ pounds=\dfrac{33}{2}\ pounds[/tex]

Quantity of another rock = [tex]10\dfrac{1}{2}=\dfrac{21}{2}\ pounds[/tex]

We need to find the number of times heavier is 16 1/2 pound rockthen a 10 1/2 pound rock.

so, number of times is given by

[tex]\dfrac{33}{2}\div \dfrac{21}{2}\\\\=\dfrac{33}{2}\times \dfrac{2}{21}\\\\=\dfrac{33}{21}\\\\=1.571[/tex]

Hence, [tex]16\dfrac{1}{2}[/tex] pound rock is 1.571 times heavier than [tex]10\dfrac{1}{2}[/tex] pounds rock.

Translate into an algebraic expression:

The difference of the product of 5 and y and their sum.

Answers

subtract the product as 5y and 5+y is what you can simplify this to:

(5y) - (5+y)

Hope this helps!


A triangle has a height of x meters and a base of 14 meters. Write and solve an inequality for the values of x that give an area of at most 112 m

Answers

1/2*14m*x <= 112m^2 

x<=112m^2/7m=112m/7 =16m 

so x<=16m

Answer:

The values of x must be 16 meters or less to satisfy the inequality. (x ≤ 16 m)

Step-by-step explanation:

The area of a triangle is given by the formula:

A=[tex]\frac{bh}{2}[/tex]

Where 'b' is the base of the triangle (in this case is equals to 14 meters)

'h' is the height of the triangle (in this case is x)

As the area of the triangle must be less or equal to 112 m², the inequality is given by:

112m²≥[tex]\frac{(14m)x}{2}[/tex]

[tex]\frac{112m^{2}*2 }{14m}[/tex]≥x

16m ≥ x

7=14x-42y solve equation for y

Answers

y =  x/3 - 1/6 not sure if thats correct though so sorry if you get it wrong :/

explain the difference in meaning between |-3| and -3

Answers

| -3 | and -3

the absolute value of a number is just how many spaces that number is from 0. So it is not negative because distance is not measured in negative values.. The absolute value of a number is positive. So |-3| = 3.

-3 just equals -3.

so the difference, I guess, is that -3 is negative but the absolute value of -3 is positive

The number is positive when measured in absolute value. So |-3| = 3. since distance cannot be calculated in negative quantities.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

Two numbers are given:

|-3| and -3

As we know, the mod function has positive range.

Let f(x) = |x|

The range of the function is [0, ∞)

The value of |-3| will be 3 after removing the mod which is also called the absolute value of the mod function.

A number's distance from zero, or its absolute value, is expressed as the number of spaces.

Since distance cannot be calculated in negative quantities, it cannot be negative. A number is positive when measured in absolute value. So |-3| = 3.

Thus, the number is positive when measured in absolute value. So |-3| = 3. since distance cannot be calculated in negative quantities.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Transformation enlargement
How to find the scale factor tho ?

Answers

We'd need to figure out the side of the bigger pentagon, which is going to be messy, but we can do it!

The area of a pentagon equation is messy, and we need to solve for the side given the area, which would be sqrt((4*area)/((5(5+2sqrt(5)))^(1/2)) or sqrt((4*8)/((5(5+2sqrt(5)))^(1/2)) . We get this from the pentagon equation, multiplying both sides by 4 dividing  (5(5+2sqrt(5)))^(1/2)) from both sides, then square rooting that to get the side length

Plugging it in, we get 2 and some more, and we multiply that by 2 to get the bigger side length. Plugging that into the area equation, we get a=32 and 32-8=24

The sum of two numbers is 125 and their difference is 47 . What are the two numbers

Answers

x + y = 125
x - y = 47
---------------add
2x = 172
x = 172/2
x = 86

x + y = 125
86 + y = 125
y = 125 - 86
y = 39

ur 2 numbers are 39 and 86
39 and 86 : ) ^^^^******

Math help please!
1. The data set below shows the weight (in pounds) of 5 different pumpkins. What is the mean of the following set of data? 7,5,9,5,12
2. Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
92.25
93.5
93.75
94.75

Answers

1. The answer for the first question is 7.6 You get the answer by adding all the numbers together then dividing the answer you get by the number of items in this case there were 5 different numbers. This is how you get the mean.
2. The answer is 92.25

How do you write 0.917 in word form.

Answers

The word form of number 0.917 is,

⇒ 0.917 = Nine hundred seventeen thousandths

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ 0.917

Now, We can write the number in word form as,

Here, The number is,

⇒ 0.917

Thus, We get;

⇒ 0.917

⇒ Nine hundred seventeen thousandths

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

How can you write 3 million using exponents

Answers

3×10^6
That's how you could right it that way
3x10~6 would be the answer.

Find the square (2x-6)^2

Answers

(2x-6)(2x-6)
4x^2 - 12x - 12x + 36 
4x^2 - 24x + 36 

hope this helps . give brainliest 
thanks 

Answer:

4x^2 - 24x + 36

Step-by-step explanation:

Solve for x, Show your work: 1/2 (16 - x) = -12 (x + 7)

Answers

You have to get rid of 1/2 by multiplying it by its recriprocal which is like this:
1) 1/2 x 2/1 which equals to zero and you do the same to the other side.
2) -12 x 2/1 = -24x then multiply-24x with 7 which equals -168.
16-x= -24x -168
3) subtract 16 to the other side and subtract 24x with x
23x= -184
4) divide by 23 to isolate x and you get -8
5) x=-8
First you need to multiply 1/2 by 16, then multiply 1/2 by x to get 8-1/2x=-12(x+7). Then you multiply-12 by x to get-12x an then you multiply-12 by 7 so your equation looks like this 8-1/2x=-12x+-84. Combine the like terms and divide by the number with the x and you have your answer

How do you do: x/6 - x/7 = 1

Please explain!

Answers

x/6 - x/7 = 1

6*7 =42

x = 42

42/6  = 7

42/7 = 6

7-6 =1

Charlie spends 3/4 hour exercising every morning. He spends 1/6 hour weight training and the rest of the time running on the treadmill. What fraction of a hour does Charlie spend.

Answers

he spends 45 minutes exercising 1/6 of an hour or 10 minutes of weight training and the rest of the time on the treadmill and that is 35 minutes or 7/12 of an hour. Hope this helped!

Which fraction is equivalent to negative 2 over 3?

a.) 2 over negative 3
b.) negative 3 over 2
c.) negative 2 over negative 3
d.) 2 over 3

Answers

Answer: the awnser is c

Which number rounds down when rounded to the nearest tenth?
A. 59.88
B. 74.27
C. 98.94
D. 100.06

Answers

The answer would be C. 98.94
If the number is below 5 you round down. If the number is 5 or more you round up. So, the number 98.94 would round down because we are to round down to the tenths and the number 4 is next to 9 so we round down.

how can you use Place value when using partial quotients?

Answers

The “partial quotients” strategy uses place value and lets students to form on multiplication facts with friendly numbers. Look at the problem 496 ÷ 4. There are three instances of a student’s method to answering 496 ÷ 4. We could say that example C is more effectual than the other two but it is vital to point out how the student is thinking on comprehending. The students can multiply 4 x 20 over and over again or use higher multiples of ten proficiently; they all touch the same solution. The “partial quotient” way will work with any division problem.


(see attachment below)

I will give BRAINLIEST to whoever is correct.

Answers

its the top one to the right

11-1\2y=3+6x Solve for y

Answers

Let's solve for y.

11−12y=3+6x

Step 1: Add -11 to both sides.

−1/2y+11+−11=6x+3+−11

−12y=6x−8

Step 2: Divide both sides by (-1)/2.

−1/2y−1/2=6x−8/-1/2

y=−12x+16

The length of a rectangle is 2 units shorter than one-fifth of the width, x.

Which expression represents the perimeter of the rectangle?




​ 2/5x−8 ​

12/5x−4

2/5x−4

12/5x−2

Answers

y = 1/5x - 2

Perimeter = 2(x + y)

P = 2(x + 1/5x - 2)
P = 12/5x - 4

I just took the test and the answer is B. 12/5x - 4

In case anyone else has the same question

Over 25.5 days, a pond's water level changed by an average of −0.32 centimeter each day. What was the total change in the water level?

Answers

8.16 cm is the total change in water level.

Answer:

-8.16

Step-by-step explanation:

i did the test and that other person that said 8.16 forgot the negitive sign

what is 78/100 as a fraction

Answers

78/100 or 39/50 if 78/100 is divided by 2 it's 39/50
If you divide it to 2, it will be 39/50.

Can someone help me to solve this questions?

Answers

Is it 90-9^2=9? I'm guessing
he got it right ^^^^^

there were twice as many carnation as roses in a flower shop. After selling 50 carnations and 10 roses, there were 3 times as many roses as carnations left in the shop. how mny roses were in the shop?

Answers

60 carnations to start with 40 roses to start with. 60- 50= 10; 40- 10=30 so the roses are 3 times as much as the carnations.

Amanda's age is one-half of Sally's. Which variable expression represents Amanda's age? 2s 1 2 +s s + 2 s 2

Answers

The answer is s^2 squared to the second power

Amanda's age, being one-half of Sally's, is represented by [tex]$\frac{s}{2}$[/tex], where s represents Sally's age.

Amanda's age is stated to be one-half of Sally's age. In algebraic terms, if we let s represent Sally's age, then Amanda's age can be expressed as half of Sally's age, which is [tex]$\frac{s}{2}$[/tex]. So, the expression [tex]$\frac{s}{2}$[/tex] accurately represents Amanda's age in terms of Sally's age.

Complete Question:

Amanda's age is one-half of Sally's.

Which variable expression represents Amanda's age?

A.[tex]$\frac{s}{2}$[/tex]

B.[tex]$\frac{1}{2}+s$[/tex]

C.2s

D.s+2

Solve 11 and 13 pleaseeeee

Answers

32 degees, 43.8 degrees, 53.8, 63.8 Yes they are proportional

Can someone plz help me.

Answers

It seems like its more towards C. and D. but I have a strong feeling it's C. since he did it without looking.

3:7ratio of blue and red chairs if there are 91 red chairs how many blue are there?

Answers

There are 39 blue chairs.

You can find this by setting up a proportional equation:

3/7 = x/91

Solve for x by cross-multiplying:
7x = 91*3
7x = 273
7x /7 = 273 /7
x = 39

So, there are 39 blue chairs if there are 91 red chairs.
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