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3 years ago

Jason and Marc each bought a new video game for 40$.

Mathematics

1 answer:

lilavasa [31]3 years ago

3 0

Turn the percentage into a decimal and then multiply. Don’t forget to multiply the percentage with the decimal.

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Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.

Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

$\frac{20.80}{32} = \frac{x}{100}$

We can cross multiply to find the value of $x$ .

$20.80\cdot100=2080\\\\2080\div 32 = 65$

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

$100 - 65 = 35$

So the book was on a 35% discount.

Hope this helped!

3 0

3 years ago

Describe how you would determine the x-intercepts from the factored form of a quadratic equation

Aloiza [94]

Answer:

Please check explanations

Step-by-step explanation:

Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x

The particular value of x represents the solution that shows the value of the x-intercept

for example

In a case of a quadratic equation where we have

(x-a)(x-b) = 0

Then we can have

(x-a) = 0 or ((x-b) = 0

Then we have x = a or x = b

a and b are the x intercepts in this case

4 0

3 years ago

Help! what’s the answer. I looked it up but it’s not right too many different answers

Ne4ueva [31]

7x+2y=-17

steps:
x=2x + 5x
y=3y - y
sum=-5 -12

6 0

3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin

FromTheMoon [43]

Answer:

median: 15
base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

5x -20 = (12 + (4x -10))/2

5x -20 = 2x +1

3x = 21 . . . . . add 20-2x

x = 7

Then the lengths are ...

median = 5x -20 = 5·7 -20 = 15

base = 4x -10 = 4·7 -10 = 18

6 0

3 years ago