MATHEMATICS MIDDLE SCHOOL

What is the answer to this equation 35 = - 5/9x

Answers

Answer 1
Answer:

35 = - 5/9x

mutiply both sides by -9/5

35*-9/5= -5/9x*-9/5

Cross out 5 and 35, divide by 5.

35/5= 7

-5/5= -1

Cross out the 5 and 5 , divide by 5.

Cross out the 9 and 9, divide by 9.

then becomes 1*1*x= x

7*-9= -63

Answer : x= -63

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If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100bikes, how many of them are purple? *

Answers

Add the ratio: 8 + 12 =20

Divide total bike by that: 100/20 = 5

Multiply each part of the ratio by that:

8 x5 = 40

12 x 5 = 60

40 bikes are purple

60 bikes are red

Answer: 40

Step-by-step explanation:

Purple:Red = 8:12

Purple bikes = 8/20 x 100 = 40

What the answer to 5x=195.5

Answers

divide both sides by 5
5x/5=195.5/5
x times 5/5=39.1
x=39.1
195.5 divided by 5 puts the variable by itself. 195.5 divided by 5 is 39.1. X = 39.1

Angles and polygons idk how

Answers

The formula is 2n-5(90). If you have any questions based on finding angles for polygons, feel free to ask it and I'll answer them for you.

Convert 56 pints to quarts use the rate suggested by the equation 1 quart equals 2 pints

Answers

56 pints  to quarts.

2 pints = 1 quart.

1 pint = (1/2) quart.

56 pints =  (1/2)* 56 quart

              = 28 quarts.

ms. Luca designs a water ride for a theme park . coordinate gird shows her plan for the path of the boats through the ride

Answers

Start (90,100). End (10,0). Waterfall (70,50). The X point is first Y is second. Hope this helps :)

Find the distance, to the nearest tenth, from T(4,-2) to U(-2,3).

Answers

Answer:

7.81

Step-by-step explanation:

Using the formula for finding the distance between two points as shown:

TU = √(y2-y1)²+(x2-x1)²

Given T = (4,-2) and U = (-2,3)

x1 =4, y1 = -2, x2 = -2, y2 = 3

Substituting this values into the formula, we have;

TU = √{3-(-2)}²+(-2-4)²

TU = √(3+2)²+(-2-4)²

TU = √5²+(-6)²

TU = √25+36

TU = √61

TU = 7.81

The distance between the two points is 7.81
d = \sqrt{ (x_(1) - x_(2))^(2) + (y_(1) - y_(2))^(2) } \n d = \sqrt{ (4 - (-2))^(2) + (-2 - 3)^(2) } \n d = \sqrt{ (6)^(2) + (-5)^(2) } \n d = √( 36 + 25) \n d = √( 61 ) \n d = 7.81024... \n d = 7.8
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