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4 years ago

11

Express each rate as a unit rate. (5points each)

1 answer:

neonofarm [45]4 years ago

5 0

To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.

For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.

Likewise for the other question it would be 270/15.

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Put a digit in the gap, such that the answer is a whole number:<br> 9x–42=5... I will give brainiest

cestrela7 [59]

9x–42=5 is x = 11.

<u>Step-by-step explanation:</u>

9x- 42 = 5...

When we put x = 9

then we will get 81 - 42 =39

put x = 10 then

9(10) - 42 = 90 - 42 - 48

put x = 11

then 9(11) - 42 = 99-42 = 57

So x = 11 is the answer.

7 0

3 years ago

Write y=10x as a logarithmic function please

Margaret [11]

$\bf \textit{exponential form of a logarithm}
\\\\
log_a b=y \implies a^y= b\qquad\qquad 
% exponential notation 2nd form
a^y= b\implies log_a b=y \\\\
-------------------------------\\\\
y=10^x\implies log_{10}(y)=x$

5 0

3 years ago

Which of the following expressions is this one equivalent to?

schepotkina [342]

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

$\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}$

Factoring in the numerator:

$\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}$

Factoring again in the numerator with common factor $x^{3}+1$ :

$\frac{(x^{3}+1)(x-2)}{x^{3}+1}$

Simplifying:

$x-2$

Hence, the correct option is C. x-2

3 0

3 years ago

Which of the following is the best estimate of 31% of 15?<br> 7.5<br> 3<br> 5<br> 4

Alex777 [14]

Th answer is 5 because 31% of 15 is 4.65

3 0

3 years ago

Read 2 more answers

Find the area and perimeter

Ivenika [448]

Answer: area = 379.7 mm²

Perimeter = 95.84 mm

Step-by-step explanation:

The composite shape contains a semi circle and a trapezoid.

The area of a semi circle is

1/2 × πr²

Radius = diameter/2

Radius = 20/2 = 10 mm

Area = 1/2 × 3.14 × 10 = 15.7 mm²

Area of trapezoid is expressed as

1/2(a + b)h

Area = 1/2 × (20 + 32)14

Area = 1/2 × 52 × 14) = 364mm²

Area of the composite shape is

15.7 + 364 = 379.7 mm²

Formula for determining the perimeter of the semicircle is

1/2 × πd

Perimeter = 1/2 × 3.14 × 20 = 31.4mm

Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 12² + 14² = 340

h = √340/= 18.44

Perimeter of the composite shape is

31.4 + 14 + 32 + 18.44 =95.84 mm

7 0

3 years ago