MATHEMATICS MIDDLE SCHOOL

In August, Emily's Clothing Store sold 460 shirts with the ratio pf short sleeve to long sleeve being 3:7 How many short sleeve shirts were sold?

Answers

Answer 1

Answer:

Answer: 30

Step-by-step explanation:

Given : In August, Emily's Clothing Store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7 .

Let the number of short sleeve shirts be 3x and the number of long sleeve shirts be 7x.

Then , according to the question, we have

$3x+7x=460\n\n\Rightarrow\ 10x=460\n\n\Rightarrow\ x=(460)/(10)=46$

Now, the number of short sleeve shirts sold = $3(10)=30$

Hence, 30 short sleeve shirts were sold.

Answer 2

Answer: Ok first we would find what it would be like if it were 1:7

so 460/3 153.3e so 153.0

153*7=1071

so 1071 Ssleeves were sold

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If b-10=5, what is the value of b+6

Answers

$b-10=5 \nb=5+10 \nb=15 \n \nb+6=15+6=21 \n \n\boxed{b+6=21}$

15-10=5

15+6=21

15 minus 10 comes to an answer of 5. So that means that, b is equal to 15. If you add 15 and 6, you will get a sum of 21.

Is 5/10 in simplest form

Answers

no, it is not because it can be simplified to 1/2.

Find the Greatest Common Factor (GCF)
5 and 10

GCF = 5

Divide the numerator and denominator by 5.

5/10 ÷ 5 = 1/2
The final answer is 1/2 :)

Convert 16 1/2 pounds to kilograms

Answers

Answer:

16 1/2 lbs. = 7.48 kilograms

Hope this helps you!

Answer: 7.484274 kilograms

Step-by-step explanation: 1 pound=0.453592 kilograms

So 16.5*0.453592=7.484274

PLEASE HELP ME I BEG YOU I REALLY NEED!!!!

Answers

polynomial that represents a difference in cubes.

x³ - 64 = 0
x³ = 64
∛x³ = ∛64
x = 4

Correct Steps for factoring the polynomial 5x³ - 40
5(x³ - 8)
5((x)³ - (2)³)
5(x - 2)(x² + 2x + 4)

To check:
5(x - 2)(x² + 2x + 4)
(5x - 10) (x² + 2x + 4)
5x(x² + 2x + 4) - 10(x² + 2x + 4)
5x³ + 10x² + 20x - 10x² - 20x - 40
5x³ + 10x² - 10x² + 20x - 20x - 40
5x³ - 40

Difference of cubes: a³ - b³

A) x³ - 64 = x³ - 4³

In B, 4 is not a cube number.

In C, this is the sum of a cubes. 8x³ + 27 = (2x)³ = 3³

In D, 4 is not a cube number.

Your answer is A.

Question #6

5x³ - 40
5[x³ - 8]
5[x³ - 2³]

Note: x³ - y³ = (x-y)(x² + xy + b²)

5[(x-2)(x² + 2x + 2²)]
5[(x-2)(x² + 2x + 4)]

Your answer is B.

Which expression is equivalent to the given expression?12(x – 17)

A.
12x – 29

B.
12x – 17

C.
12 + 12 • 17

D.
12x – 12 • 17

Answers

12(x-17)

Distribute

(12)(x)+(12)(-7)

= 12x-204

12x-12*17

= 12x-204

Answer : D

I hope that's help !

Distribute 12 to x and -17 to get D) 12x - 12 · 17

A wide screen television display measures approximately 15 inches high and 27 inches wide. A television is advertised by giving the approximate length of the diagonal of its screen. How should the television be advertised?A) 36 in.
B) 31 in.
C) 30 in.
D) 21 in.

Answers

The answer would be 31 in.

First do the Pythagorean theorem.

225+ 729= 954

Then find the square root of 954 which is 30.88 repeating, so round up to 31 in.

The answer would be B) 31 in.

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