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Kazeer [188]
3 years ago
7

The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round yo

ur answer to the nearest whole number.
Mathematics
1 answer:
Olegator [25]3 years ago
3 0

9*3.14 = 28.26

(This solves for circumference)

300/28.26 = 10.6157

(This solves for rotations)

About 11 rotations.

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a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 i
Zanzabum

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

5 0
3 years ago
How to solve this problem??
slega [8]
\frac{2}{3} =  \frac{18}{x+5}

multiply each side by x+5
\frac{2x+10}{3}=18
multiply each side by 3

8 0
3 years ago
What is the answer to 10 to the 2nd power times 5/2 is ?
katrin2010 [14]
Answer: 250
10 times itself or 10^2 = 100
(100)(5)=500
500/2= 250
5 0
3 years ago
Kenyl covers the front of a circular bulletin board with fabric that costs 1.48 per square foot. The bulletin board has a radius
Gnoma [55]

Answer:

29

Step-by-step explanation:

In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.

To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.

Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.

mathematically A = 2.5^2 * pi = 19.63 sq. feet

The cost of the fabric per square feet is 1.48.

now the cost for this area that we have will be 1.48 * 19.63 = 29.0524

This is nearest to 29

7 0
3 years ago
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