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erastova [34]
3 years ago
5

Stella needed to get her computer fixed. She took it to the repair store. The technician

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

9514 1404 393

Answer:

  $35 per hour

Step-by-step explanation:

The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...

  188.75 = 75 + 3.25h

  113.75 = 3.25h . . . . . . . . subtract 75

  113.75/3.25 = h = 35 . . . divide by the coefficient of h

The cost of labor, per hour, is $35.

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There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and
notsponge [240]

Answer:

4.65\leq x\leq 5.35

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, |x-5|\leq 0.35

We know

x-5\leq 0.35 and x-5\geq -0.35

x\leq 0.35+5 and x\geq -0.35+5

x\leq 5.35 and x\geq 4.65

So, 4.65\leq x\leq 5.35

Hence the range of acceptable widths is 4.65\leq x\leq 5.35

8 0
3 years ago
The slope of a line that passes through points (5, 14) and (-4, y) is 4/9. What is the value of y?​
Monica [59]

Answer:

slope=m=4/9

(x',y')=(5,14)

(x",y")=(-4,y)

we have

m=(y"-y')/(x"-x')

4/9=(-4-5)/(y-14)

4y-56=-81

4y=-81+56

y=-25/4

3 0
3 years ago
Read 2 more answers
−3x+5y=2x+3y ordered pairs
NeTakaya

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

6 0
2 years ago
Help ASAp peaseeeeeeeeee
PIT_PIT [208]

Answer:

7/6

Step-by-step explanation:

\frac{ \frac{x}{4}  +  \frac{x}{3} }{ \frac{x}{2} }  = \frac{x( \frac{1}{4}  +  \frac{1}{3} )}{ x(\frac{1}{2}) } \\  =  \frac{ \frac{1}{4}  +  \frac{1}{3} }{ \frac{1}{2} }  \\  =  \frac{14}{12}  =  \frac{7}{6}

3 0
2 years ago
Read 2 more answers
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