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denpristay [2]
3 years ago
14

The distance Max's bike moves is directly proportional to how many rotations his bike's crank shaft has

Mathematics
2 answers:
Gemiola [76]3 years ago
7 0

Answer:

187.5 feet

Step-by-step explanation:

we know that

Max's bike moves 25 feet after two rotations

so

using proportion

Find out how many feet will the bike move after 15 rotations

Let

x ----> the distance in feet

\frac{25}{2}\frac{ft}{rev}=\frac{x}{15}\frac{ft}{rev}\\\\x=15(25)/2\\\\x=187.5\ ft

QveST [7]3 years ago
5 0

Answer:

Max's bike after 15 rotations will move:

  • <u>187.5 feet</u>

Step-by-step explanation:

Since the exercise provides the information that after 2 rotations the bike moves 25 feet, you must divide that distance by the number of rotations to obtain the distance traveled per rotation:

  • Rotation distance traveled = 25 ft / 2 = 12.5 ft

Having the distance for each rotation made, you only have to multiply this value by the total number of rotations (15):

  • <u>Total distance traveled = 12.5 feet * 15 = 187.5 feet</u>
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Step-by-step explanation:

8 0
3 years ago
Is -7-5+3=1 true or false
grigory [225]
-7-5+3=1
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3 years ago
A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?
artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30  /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24  x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

7 0
3 years ago
The chess club has 16 members and gains a new member every month. the film club has 4 members and gains 4 new members every mont
steposvetlana [31]
<span>For chess club:
y1 = 16 + 1*x where y1 = total number of members after x months .
For film club:
y2 = 4 + 4*x where y2 = total number of members after x months.

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3 0
3 years ago
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

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= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
3 years ago
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