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Slav-nsk [51]
3 years ago
9

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. The front two wheels ar

e six feet apart. What is the number of feet in the path traced by the inside front wheel in one trip around the circle?
Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

  about 37.7 feet

Step-by-step explanation:

If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.

Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...

  C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft

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The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
irga5000 [103]

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

3 0
3 years ago
4/50 converted into a percentage
Arlecino [84]

Answer:

Step-by-step explanation:

\frac{4}{50}*100=4*2

            = 8%

3 0
3 years ago
Simplify (5^1/3)^3.
pentagon [3]

Answer:

The correct option is C. 5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

Step-by-step explanation:

Simplify

(5^{\dfrac{1}{3})^{3}=?

Solution:

Using Identity

(x^{a})^{b}=x^{(a\times b)}

So in the given expression

x = 5\\a=\dfrac{1}{3}\\\\b=3

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

6 0
3 years ago
What is the diffrence between 6 thirty-sixes and 4 thirty-sixes.?
Lilit [14]
6 thirty-sixes -4 thirty-sixes = 2 thirty-sixes
2 thirty-sixes = 2•36 = 72
6 0
3 years ago
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Jlenok [28]

Answer:

Value of b = \frac{5}{4} =1.25.

Step-by-step explanation:

Direct Variation states that a relationship  between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,  

a \propto b then it is of the form

a = kb     ;where k is constant variation.  

Given: a varies directly as b;

then, by definition of direct variation;

we have;

a = kb             .....[1]

Substitute the value of a =28 and b =7 to solve for k;

28 = k(7)

Divide both sides by 7 we have;

\frac{28}{7}=\frac{7k}{7}

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

5=(4)b

Divide by 4 to both sides we get;

b =\frac{5}{4}

Therefore, the value of b = \frac{5}{4} =1.25



4 0
3 years ago
Read 2 more answers
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