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Lostsunrise [7]
3 years ago
15

When new, a standard tire has 10/32 inches of tread. When only 2/32 inches of tread remains, the tire needs to be replaced. If t

his occurs after 40,000 miles, what thickness of tire rubber is lost every 1,000 miles driven? Give your answer in fractions of an inch.
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

\frac{1}{160} \ inches

Step-by-step explanation:

The computation of the thickness of tire rubber for every lost 1,000 driven is shown below:

Data provided in the question

Inches of tread = \frac{10}{23}

In case of replaced = \frac{2}{3}

Based on the above information

Now in 40,000 miles, the ratio is

= \frac{10 - 2}{32} \\\\ = \frac{1}{4}

And for every 1,000 miles driven,  the thickness is

= \frac{1}{4 \times 40,000} \times 1,000 \\\\ = \frac{1}{160} \ inches

hence, the thickness of tire rubber is \frac{1}{160} \ inches

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Jacob mixes ⅓ cup of yellow paint for every ⅕ cup of blue paint to make green paint. How many cups of yellow paint are needed fo
Nana76 [90]

Answer:

\frac{5}{3} cups

Step-by-step explanation:

Jacob mixes \frac{1}{3} cup of yellow paint for every \frac{1}{5} cup of blue paint to make green paint.

The ratio of yellow paint to blue paint =  \frac{1}{3} : \frac{1}{5}

                                                              = 5:3

 \frac{1}{5} cup of blue paint =  \frac{1}{3} cup of yellow paint

 1 cup of blue paint =  \frac{1}{3} ÷ \frac{1}{5} cup of yellow paint

⇒ \frac{1}{3} ÷ \frac{1}{5}

⇒ \frac{5}{3}

Hence, For 1 cup of blue paint needed \frac{5}{3} cups of yellow paint.

8 0
3 years ago
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

5 0
3 years ago
Find the area of the following figure and write your result in the empty box.<br> ​<br> ​
Sunny_sXe [5.5K]

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

5 0
2 years ago
Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min
suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

3 0
3 years ago
HELP PLEASE FIND X AND SHOW YOUR WORK
PtichkaEL [24]

Answer:

34

Step-by-step explanation:

Straight lines are 180 degrees, so the angle inside of the triangle next to the 127, is 53 degrees. (180-127= 53)

So to find "x", we need to figure out what the full number is.

59+53 = 112.

180-112= 68.

Now that we have the degree of the full angle, we can make an equation to find x.

x*2 = 68

(Divide 2 from both sides to isolate the variable)

x = 34  

I hope this helped!

7 0
2 years ago
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