Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j

Answer:

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Answer: B

Step-by-step explanation:

If you change them all to decimals.

4.8% = .048

1/20 = .05

4.1 x [tex]10^{-1}[/tex] = .41

[tex]\sqrt{4}[/tex] = 2

So, that would be least to greatest.

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

answer: the answer is c

Answer:

55%

Step-by-step explanation:

Percent spent = (amount spent / total income) x 100

( $11000 /  $20000) x 100 = 55%

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Answer:

Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)

Simplify (7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3

Move all terms not containing m to the right side of the equation.

ma^3=8a^3

Divide each term by a3 and simplify.

m=8

Step-by-step explanation:

Hope to help you

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

Answer:113

Step-by-step explanation:

Answer:

Step-by-step explanation:

kk

Answer:

-33

Step-by-step explanation:

[tex](3^2+4-2)(2^2-3-4)[/tex]

[tex](9+4-2)(4-3-4)[/tex]

[tex](13-2)(1-4)[/tex]

[tex](11)[/tex] · [tex](-3)[/tex]

(-33)

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

hope it helps.

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

D

Step-by-step explanation:

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

Step-by-step explanation:

rational integer and real

it is rational because it is a perfect root of 2

it is a integer because every positive and negative numbers are integers.

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help