Sam found a new tennis racket on sale for 10%
off. If he paid $36 for the tennis racket, what was
the original price?

Answer:

To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.

Another (better) way to simply this would be finding the greatest common factor.

a(x-5)+4(x-5)

(a+4)(x-5)

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer: A 143 degrees because angle 5 is a congruent to angle one

Step-by-step explanation:

Answer:

60 mins

Step-by-step explanation:

1 picture = 30 mins

times both sides by 2 to get 2 pictures

2 pictures = 60 mins

Answer:

what are coprime number

The scale factor that has been used is 1/2

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

Side length on red = 6 units

Corresponding side length on green = 3 units

Given that the red rectangle is the pre-image and the green rectangle is the image

We have

Scale factor = Green/Red

So, we have

Scale factor = 3/6

Evaluate

Scale factor = 1/2

Hence, the scale factor is 1/2

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Answer:

224

Step-by-step explanation:

360.-136.

Answer:

they are correct

Step-by-step explanation:

Answer:935

Step-by-step explanation:

Answer: 935 is the LCM of 5, 11, and 17.

Step-by-step explanation:

Firstly, I am going to use the easier method of finding numbers that meet up with each other.

So, by adding the first number to itself and then to the new number, we can use a list-type method. Let's begin.

5, 10, 15, 20, 25, 30, 35, 40, 45..... 920, 925, 930, 935.

11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143..... 913, 924, 935.

17, 34, 51, 68, 85, 102, 119..... 884, 901, 918, 935.

The list goes on all the way until we reach 935, which in this case, is our Least Common Multiple. This takes quite a while, so you should use an online and/or auto-calculator instead of doing the challenge on your own.

To recap, using the listing method to find LCMs, the LCM of 5, 11, and 17 is 935.

The capacity or volume of the rectangular water tank is 100000 cm³.

volume of a rectangular water tank = base area × height

where

Therefore,

base area = 1000 cm²

height = 100 cm

Therefore,

capacity(volume) of the water tank = 1000 × 100 = 100000 cm³

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Answer:

100000000000000000000000000

Step-by-step explanation:

Answer:

5.55555561E21

Step-by-step explanation:

That's what the calculator says. :/

Answer:

1/2

Step-by-step explanation:

If you measure the base of Figure A, you can see that it's 6 units

The base of Figure 2 is 3 unites

3 is half of 6, therefore the scale is 1/2

The histogram appears to roughly estimate a normal distribution. The frequencies normally increase to a maximum and then​ decrease, and the histogram is symmetric.

The Graph of Normal Distribution is bell-shaped. Here the value of y is less for the lower value of x and then the value of y is increased for a larger value of x, but after some time value of y again getting decreases as the value of x increases.

For the Histogram to appear to be a normal distribution, the graph of the histogram must have the same nature. Thus, option B is only the correct option.

The histogram is made up of many columns and bars that are vertical with no gaps between bars with different labels of numeric data of different heights showing the size of the group of different labels.

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Answer:

x = c/(a + b)

Step-by-step explanation:

Step 1: Write equation

ax + bx = c

Step 2: Factor

x(a + b) = c

Step 3: Divide

x = c/(a + b)

Answer:

x=c/(a+b)

Step-by-step explanation:

ax+bx=c

x(a+b)=c

x=c/(a+b)

Answer:

possessions

The definition of possessions is the state of having or owning something in other words a car owned by a person is his or her possessions

Answer:

A. ¾

B. 7½ pages

Step-by-step explanation:

A. Constant of proportionality, k, = \( \frac{y}{x} \)

In this case, y = pages, while x = days.

Take any coordinate pair to calculate the constant of proportionality, k. Let's use (3, 4).

\( k = \frac{y}{x} = \frac{3}{4} \)

Constant of proportionality = ¾.

B. Number of pages (y), Indira would read in 10 days (x).

Substitute x = 10 and k = ¾, into \( k = \frac{y}{x} \)

\( \frac{3}{4} = \frac{y}{10} \)

Multiply both sides by 10

\( \frac{3}{4}*10 = \frac{y}{10}*10 \)

\( \frac{3}{2}*5 = y \)

\( \frac{15}{2} = y \)

\( 7\frac{1}{2} = y \)

Number of pages Indira can read in 10 days is 7½ pages.

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Exact answer: 165.5754

Rounded to the nearest dollar: 166

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

Answer:

−p−30

Step-by-step explanation:

Let's simplify step-by-step.

4p−5(p+6)

Distribute:

=4p+(−5)(p)+(−5)(6)

=4p+−5p+−30

Combine Like Terms:

=4p+−5p+−30

=(4p+−5p)+(−30)

=−p+−30

Answer:

=−p−30

The mean square within treatments (MSE) is 5 when in  a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments.

Mean is a measure of central tendency which represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing the sum by the total number of values in the set.

Here,

To find the mean square within treatments (MSE), we need to use the formula:

MSE = SSE / df

where SSE is the sum of squares within treatments and df is the degrees of freedom within treatments.

Since we are given SSTR and SST, we can find SSE using the formula:

SSE = SST - SSTR

Substituting the given values, we get:

SSE = 700 - 400 = 300

The total number of observations is:

n = 6 treatments × 11 observations/treatment = 66 observations

The degrees of freedom within treatments is:

df = n - number of treatments = 66 - 6 = 60

Therefore, the mean square within treatments is:

MSE = SSE / df

= 300 / 60

= 5

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Answer:  A) 0.5

Step-by-step explanation:

The denominator should be in the form 1 + e sin θ

Currently the denominator is: 2 + 1 sin θ

Divide the denominator by 2 to get:  1 + 0.5 sin θ

Thus, e = 0.5

Answer: I believe it’s B

Answer:

Dannielle's mistake was that she added the exponents,

x^3 + 5x^3, doesn't equal 6x^6

Step-by-step explanation:

the correct work is below:

x^3 + 5x^3 + 5x^2 - 3x^2 + 2x - 7 - 1

6x^3 + 2x^2 + 2x -8

Answer:

yellow blue green gray black white

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

Step-by-step explanation:

Angle KEF and JEK

Answer:

----------------------------

Complementary angles are the angles that together form a right angle.

In the picture we see two right angles:

The first one, ∠DEJ has a pair of complementary angles:

The second one, ∠JEF has a pair of complementary angles:

Answer:

3  2 /7

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.