MATHEMATICS MIDDLE SCHOOL

Please help me solve !!!

Answers

Answer 1

Answer:

-125/27

Step-by-step explanation:

(-3/5)^-3= 1÷(-3/5)³

=1÷(-3³/5³)

=1÷(-27/125)

=1×(125/-27)

=-125/27

Answer 2

Answer:

Answer:

$- (125)/(27)$

make

$( { ( - 3)/(5) })^( - 3)$

the exponent postive by flipping the fraction around

$( { (5)/( - 3) })^(3)$

then simpify and you get

$- 4 (17)/(27)$

or for a single fraction

$- (125)/(27)$

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Solve for x:-

32 - x = 6

Thanks

Answers

32 - x = 6You need to get x to equal something, in other words get x by itself.Subtract 32 from both sides.-x = 6-32-x = -26x = 26

32 - x = 6
-32 -32
--------------
-x = -26
*-1 *-1
--------------
x = 26

The answer is x = 26

The diameter of the bottom of a lamp shade is twice the diameter of the top of the lamp shade. The top of the lamp shade has a 9-inch diameter. What’s the circumference of the bottom of the lamp shade? (Hint: Find the diameter of the bottom of the shade, then the circumference.)

Answers

Answer:

see explanation

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ← d is the diameter

diameter = 2 × 9 = 18 in ( twice the top diameter ), thus

C = 18π in ← exact value ≈ 56.55 in ( to 2 dec. places )

The circumference of the bottom of the lamp shade is 56.55 inches

What is circumference of circle?

The circumference of a circle is the perimeter of the circle. It is the totallength of the boundary of the circle.

The diameter of top of shade(d₁) = 9-inch

The diameter of bottom of shade(d₂) = 2(d₁) = 2(9) = 18 inch

The circumference (C) of bottom of shade :

C = πd₂ = π × 18

C = 18π ≈ 56.55 inches

Learn more about circle here:

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Erin received the following scores on her last four spelling tests.21\25, 82%, 0. 8, 17\20.Which of these is Erin’s highest score?

Answers

Answer:

The highest score is the last one 17/20

Step-by-step explanation:

Step 1: Convert all to percentage

21/25 -> 0.84 * 100 -> 84%

82%

0.8 * 100 -> 80%

17/20 -> 0.85 * 100 -> 85%

Answer: The highest score is the last one 17/20

$\huge\boxed{(17)/(20)}$

We will convert each of the scores to a percentage.

$(21)/(25)*(4)/(4)\to(21*4)/(25*4)\to(84)/(100)\to84\%$

$82\%$

$0.8*100\to80\%$

$\boxed{(17)/(20)}*(5)/(5)\to(85)/(100)\to\boxed{85\%}$

So, the answer is the last option.

What is the interest earned at $350 at 3% for 10 years

Answers

The interest earned at $350 at 3% for 10 years is $105

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

P = $350

r = 0.03

t = 10 years

The interest earned;

I =I = P × r × t

I =350 × 0.03 ×10

I = $105

Therefore, the interest earned will be $105

Learn more about simple interest here;

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