MATHEMATICS MIDDLE SCHOOL

What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?Data Set 1: {43, 42, 56, 62, 72}
Data Set 2: {76, 57, 81, 51, 70}

Answers

Answer 1
Answer: Frist we need to find the mean of both so 

1.55

2.67

then we make a number graph and see how mant place does it take to get to them from 0 67and55/by them selfs = 1.2(rounded)

1.2 is you answer

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Find the volume of the prism. Round to the nearest tenth if necessary.

Answers

The volume of a prism = the area of the base × the prism's height
V=Bh

Our base is a triangle, which has this area formula:
The area of a triangle = 1/2 × the triangle's base × the triangle's height
A=\frac12bh

Let's plug in 6 for the base of our triangle and 5.2 for its height.
A=\frac12*6*5.2
Crunch some numbers...
A=15.6

Now that we know the area of the base, let's find the volume of our prism.
V=Bh
Let's plug in 15.6 for the area of the base and 9 for the height of the prism.
V=15.6*9
Crunch some more numbers...
V=140.4
Remember to add your units!

\boxed{V=140.4\ m^3}

mary decreased her time in the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?

Answers

(24/30)*100 = 80%

Therefore she decreased from 100% to 80%, which is about 20% decrease.
Thus, the answer is 20%



Another way to do this is.

((Original value - current value))/(Original value) * 100% = percentage of change in value


Which in this case is 
(30-24)/(30) * 100% = 20%

Identify the coefficient, variable, and exponent of 3y.

Answers

Answer:

the coefficient is 3, the variable is y and the exponent is 1.

Step-by-step explanation:

the coefficient is always the number, it can stand alone, or have multiple variables attached. The variable is the letter in an equation, they also can stand alone or follow a coefficient. The exponent is not shown, but if you were to multiply y once, it would equal y.

Hope this helps.

What is the area of the shaded region to the nearest tenth of a foot?Part a) Explain what formulas you will use to find the area of the shaded area.

Par b) Explain how you find the area of the shaded region. What was your thought process?

Answers

a) The shaded region is that portion of the rectangle that is not in the circle. You need the formulas for the area of a rectangle and a circle.
 Area of rectangle = length*width
 Area of circle = (π/4)*diameter²

b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
 Shaded Area = Area of rectangle - Area of circle
 Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
 Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²

Please answer in a step by step explanation

Answers

Answer:

Step-by-step explanation:

its a

The height (h metres) and age (a years) of a tree are related by the following inequality:
h < 4a – 3 for values of a between 1 and 10
Which pair of values satisfy this inequality?
a. h = 2 and a = 1
b. h = 6 and a = 2
c. h = 10 and a = 3
d. h = 20 and a = 6

Answers

h < 4a – 3
(2) < 4(1) - 3
2 < 4 - 3
2 < 1
Not True

h < 4a – 3
(6) < 4(2) - 3
6 < 8 - 3 
6 < 5
Not True

h < 4a – 3
(10) < 4(3) - 3
10 < 12 - 3
10 < 9
Not True

h < 4a – 3
(20) < 4(6) - 3
20 < 24 - 3
20 < 21
True

Answer: (d) h = 20 and a = 6
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