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2 years ago

The price for a TV was decreased by 20% and then by 10%. By what percent was the new price lower than the original?

1 answer:

7 0

Let's say the tv was 100$ . Reduced by 20% means the tv is now 100 - 20 = 80% of the original price.

0.8(100) = 80$
Reduced again; by 10% means that it is now 100-10 = 90% of the 80$
0.9(80) = 72$

sale price ÷ original price

72$ / 100$ = 0.72 which is 72% of the original price. Which is a mark down of:
100 - 72 = 28%

The new price is 28% lower than the original price.

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a class with 30 students had an average score of 80 on a test. A class with 20 students had an average score of 90 on the same t

snow_tiger [21]

The average score of all the students in both classes is 84.

<h3>How to calculate the average?</h3>

The class with 30 students had an average score of 80 on a test. The total score will be:

= 30 × 80

= 2400

A class with 20 students had an average score of 90 on the same test. The total score will be:

= 20 × 90

= 1800

Total scores = 2400 + 1800 = 4200

Number of students = 20 + 30 = 50

The average score will be:

= Total score / Total students

= 4200 / 50

= 84

Learn more about average on:

brainly.com/question/24313700

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8 0

11 months ago

A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di

vovikov84 [41]

Answer:

8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

P = 2(length + width)

Filling in the given values for the variables, we have ...

4.5w +4 = 2(w +1.5w)

4 = 0.5w . . . . . . subtract 4.5w and collect terms

8 = w . . . . . . . . . multiply by 2

length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

4 0

2 years ago

What quadrant is (15,-12) lie

Pie

Answer:

IV/4

Step-by-step explanation:

Go to 15 on the x line and go down 12 and that’s the 4

8 0

2 years ago

Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.

masha68 [24]

By the binomial theorem,

$7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1$

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0

2 years ago

If x>2,then x2-x-6/x2-4=

statuscvo [17]

$\frac{x^2-x-6}{x^2-4}=(*)\\------------\\x^2-x-6=0\\a=1;\ b=-1;\ c=-6\\\Delta=b^2-4ac;\ \Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\x_1=\frac{1-\sqrt{25}}{2\cdot1}=\frac{1-5}{2}=\frac{-4}{2}=-2\\\\x_2=\frac{1+\sqrt{25}}{2\cdot1}=\frac{1+5}{2}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)$
$---------------------\\x^2-4=x^2-2^2=(x-2)(x+2)\\-------------------\\\\(*)=\frac{(x+2)(x-3)}{(x-2)(x+2)}=\frac{x-3}{x-2}$

6 0

3 years ago