MATHEMATICS MIDDLE SCHOOL

Convert the following fractions to decim 30/20

Answers

Answer 1

Answer:

For this case we must convert the following fraction into a decimal number:

$\frac {30} {20} =$

If we divide numerator and denominator by 2 we have:

$\frac {15} {10} =$

If we divide numerator and denominator by 5 we have:

$\frac {3} {2} = 1.5$

Thus, the fraction is equivalent to 1.5 (decimal form)

Answer:

$\frac {30} {20} = 1.5$

Answer 2

Answer:

Answer:

30/20= 3/2= 1.5 is the decimal

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If 9(x − 9) = −11, then x = ?A. -92/9
B. -20/9
C. -11/9
D. -2/9
E. 70/9

Answers

$9(x - 9) =-11\n \n9x-9\cdot 9=-11\n \n9x-81=-11 \ \ |+81\n \n9x-81+81=-11+81\n \n9x=70 \ \ /:9\n \nx=(70)/(9)\n \nAnswer : \ E. \ \ 70/9$

$9(x - 9) = -11\n 9x-81=-11\n 9x=70\n x=(70)/(9)$

An 8 inch pizza is cut into 4 equal slices. A 10 inch pizza is cut into 6 equal slices.Which slices are larger?

Answers

the 8 inch one
8/4=2
10/6= approx 1.66666666666666

they 8 inch pizza. It sounds as though the 10 inch one is, but it actually isn't. The 8 inch pizza has bigger slices because it is sliced into 4 pieces.

A telephone pole casts a shadow 30 feetlong while a nearby fence post 4 feet
high casts a shadow 3 feet long. How
high is the pole?

Answers

Answer:

The height of the pole is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

37.5 feet

How does the width of a rectangle change if the length increases but the area remains 300square feet

Answers

The width would have to decrease in order for the answer to remain the same.

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

Answers

Answer:

90° counter clockwise rotation of point 0(x, y) about origin = (-y, x)

Step-by-step explanation:

Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):

1. Invert the sign of the value of y.

2. Switch x and y with each other.

For example, a point A(5,2) after rotation gives a point B(-2,5) using the rules given above. The points on the x-y plane are shown in the image attached.

9) In one year, Angie's height went from 58 to 60 inches. What was the percentage increase in Angie's height? (Round to the nearest percentage)

Answers

The percentage increase in Angie's height is 3 %

Solution:

Given that, In one year, Angie's height went from 58 to 60 inches

To find: percentage increase

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

The percent increase is given as:

$\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} * 100$

Here in this problem,

Initial value = 58 inches

Final value = 60 inches

Substituting the values we get,

$percent\ Increase = (60-58)/(58) * 100\n\npercent\ Increase = (2)/(58) * 100\n\npercent\ Increase = 0.0344 * 100\n\npercent\ Increase = 3.45 \approx 3$

Thus percentage increase in Angie's height is 3 %

Other Questions

on Saturday Leo and his brother drove into town to visit their mom Leo is trying to remember how much he spent on gas and tolls tolls were a dollar $1.75 each and he also spent $28 at the gas station to fill up what are the terms and their factors and coefficients of the algebraic expression that represents the total cost of gas and tolls

Give 4 instances of 7.18+y#2+y+5.18

Which inequality is graphed on the number line shown? A. x < –7 B. x > –7 C. x ≤ –7 D. x ≥ –7

Three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) = 18