Combine like terms to create an equivalent expression.

-2/3a+5/6a-1/6

Answer:

Step 2.

Step-by-step explanation:

When you have a coefficient on a side of the equation that you need to get rid of, you must divide by the number. For example, in the problem:

3(x+8)² = 75

Here, you need to divide both sides by '3' instead of multiplying, which was done instead. Then you get:

(x+8)² = 25.

Therefore, his mistake was made at Step 2.

Answer:

Here is the answer.

Step-by-step explanation:

b) students are the frequency. so we need to add all the frequency.

5 + 4  + 7 + 10 + 4=30 students

c) here we need to use the summation.

total/ frequency= mean

6*5=30

7*4=28

8*7=56

9*10=90

10*4=40

we need to add them all= 244

total frequency= 30

mean = 244/30= 8.133333333...≈ 8 (this is a rounded of value as  in 0.13, 3 goes on repeating.

Answer:

Step-by-step explanation:

|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.

However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.

Answer:

(2B/m) - k = r

Step-by-step explanation:

B =1/2m(r + k)

Multiply each side by 2

2B =m(r + k)

Divide each side by m

2B/m = m/m (r+k)

2B/m =(r+k)

Subtract k from each side

(2B/m) - k = r+k-k

(2B/m) - k = r

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

[tex]\mu = \bar \mu_x[/tex] = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean =2}[/tex]

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

Answer:

414.69inches

Step-by-step explanation:

V=pr^2h/3. r^2=36.36xpi=113.097335529. h/3=3.66666666667. 113.097335529x3.66666666667=414.69 inches

Step-by-step explanation:

PARA UN CONO DE BASE REDONDA ES:

V = π[tex](6 in)^{2}[/tex](11 in)/3 = [tex]414.7 in^{2}[/tex]

Answer:

£160

Step-by-step explanation:

£160 times 0.6 equals  £96

since  £96 is 60% of the original price since 40% was taken off

The price of the bicycle before decrease is obtained as  £160.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100. And to convert a fraction or a decimal into percentage, they are multiplied by 100.

The new price of the bicycle is  £96.

And, the percent of decrease is 40%.

Suppose the original price be x.

Then, the following equation can be written for the given case as,

x - 40% × x = 96

⇒ x - 40/100x = 96

⇒ 60/100x = 96

⇒ x = 160

Hence, the original price of the bicycle is given as £160.

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Answer:

The answer is A on Edge

Step-by-step explanation:

Answer:

24.94

Step-by-step explanation:

To find shipping and handling take the price and multiply by the shipping and handling percent

464 * 5.375%

Change to decimal form

464 * .05375

24.94 for shipping and handling

Solution,

Let the price of car be X.

Rate(R)=5%

Here,

Commission % of price of car=32500

or,5% of X=32500

or,5/100*X=32500

or,X=32500*20

X=Rs 650000

Hope it helps

Good luck on your assignment........

Answer:

[tex]\frac{79}{100}[/tex]

Step-by-step explanation:

Question:

Write as a fraction in lowest terms:

Answer:

a = 79

b = 99

Answer:

-5+6-3

Step-by-step explanation:

DUH!!!!!

Answer:  

[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2

Step-by-step explanation:

DUH!! (as one guy said) this time im right tho.

Answer:

a. 108

b. 2.5

Step-by-step explanation:

a. ex: 108 = 108

b. ex: 5/2 = 5/2

convert to a decimal

2.5

. . .

Answer:

10m.

Step-by-step explanation:

Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.

Answer:

x = -8

Step-by-step explanation:

[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]

Answer:9-y

Step-by-step explanation:6-7+3= 9-y

Simplified

Answer:

9-y

Step-by-step explanation:

6-y+3=

6+3-y=

9-y

If you were solving for y, then you need to provide a solution for 6-y+3.

If you were solving for the solution, then you need to give y a value.

If you needed to simplify it, then see my answer.

Answer:

B is correct

Step-by-step explanation:

Hope I helped you and have an amazing day

The calculated division of the numbers 600 divided by 5 is 120

From the question, we have the following parameters that can be used in our computation:

600 divided by 5

When represented as an equation, we have

600 divided by 5 = 600/5

Divide 7 by 4

So, we have the following result

600 divided by 5 = 120

Using the above as a guide, we have the following:

the result is 120

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Answer:

The answer is andrew!

Step-by-step explanation:

andrew 10 + 14 + 8 + 12 + 11/ 5 = 11

leroy 2 + 12 + 9 + 11 + 16/5 = 10

Answer:

A proportional relationship is one in which two quantities vary directly with each other.We say the variable varies directly .If y=k.x   then as x increases y  also increases.Here k is called the constant of proportionality.

The given equation y = 4.2x is of the form y=k.x where k= 4.2 as x increases y value will also increase. The relation is called a proportional relationship.

Step-by-step explanation:

Answer:

p < 8

Step-by-step explanation:

3p+7<31

Subtract 7 from each side

3p+7-7<31-7

3p <24

Divide each side by 3

3p/3 <24/3

p < 8

Answer: +6

Explanation: The equation x² - 36 = 0 is called a quadratic equation because he have a squared term as our highest power.

Our first step in this problem is to get the x²

term by itself by adding 36 to both sides.

That gives us x² = 36.

Next we must get the x by itself and in order to do

that we do the opposite of what is happening to x.

Since x is being squared, the opposite

of squaring is square rooting.

So to get x by itself, we square

root both sides of the equation.

On the left the square root of x² is x and on

the right, remember the following rule.

When square rooting both sides of

an equation, always use plus or minus.

So the answer to this problem would be +6.

So our solution to this equation is +6.

Answer:

g(x) = [tex]12.(\frac{3}{4})^x[/tex]

Step-by-step explanation:

Exponential function g has been represented by the table attached,

Equation of the exponential function is,

g(x) = [tex]a.(b)^x[/tex]

Now we substitute the values of x and g(x) from the table,

For a point (0, 12),

12 = [tex]a(b)^0[/tex]

a = 12

For another point (1, 9),

9 = [tex]a.(b)^1[/tex]

9 = a × b

9 = 12 × b

b = [tex]\frac{9}{12}[/tex]

b = [tex]\frac{3}{4}[/tex]

Therefore, equation of the exponential function will be,

g(x) = [tex]12.(\frac{3}{4})^x[/tex]

Answer:

OC. $57.28

Step-by-step explanation:

It depends on how much she sells them for.

Let's say Anne sells them for $x.

Then her profit is:

8x-(8*7.16)

=8x-57.28

To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.

Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).

The profit is equal to the difference between the selling price and the original cost price.

Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.

To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :

⇒ 8 × $7.16

Apply the multiplication operation and we get

⇒ $57.28.

Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.

Hence, the correct answer would be an option (C).

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Answer:

9

Step-by-step explanation:

x + r. Substitute

4 + 5 Add

9

[tex]answer = $78 \\ solution \\ marked \: price = $120 \\ discount \: percent = 35 \\ discount \: amount = discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 35 \: of \: 120 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ = $42 \\ selling \: price = mp - discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120 - 42 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = $78 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]..

Answer: B

Step-by-step explanation:

Should be B because there are no given angles.

The congruence postulate that applies is the SSS postulate

Triangles are known to be similar if the ratio of their sides is the same and they have equal angles

From the given diagram, we can see that the measure of the similar sides of the triangles is the same, hence we can conclude that the triangles are similar to the Side-Side-Side congruence triangle.

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Step-by-step explanation:

h(x) = (x-11)(x+3)

= x^2 + 3 - 11x - 33

= x^2 - 11x -30

Answer:

11 seconds

Step-by-step explanation:

did it on khan