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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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PLS HELP ASAP!!
zepelin [54]

Answer:

D

Step-by-step explanation:

A = P(1 + \frac{r}{n})^{nt}\\

[5000* (1+0.125)]/12 =234.375, rounds up to $234.38

8 0
3 years ago
A system of equations is given below. For what value(s) of x is f(x)=g(x) ?
NARA [144]

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

3 0
3 years ago
Hank was watching the winter Olympics and was amazed at the distance the ski jumpers were able to travel. By looking at their po
Vilka [71]

Answer:

Leaning forward with the head close to the tips of the skis allows for better aerodynamics

7 0
2 years ago
A northbound bus and a southbound bus are at a bus stop at the same time. The northbound bus returns to the bus stop every 20 mi
gulaghasi [49]

The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).

GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know

LCM(20, 25) = 20×25/GCD(20, 25)

... = 500/5 = 100

The buses will be there together again after ...

... B. 100 minutes

_____

You can also look at the factors of the numbers:

... 20 = 2²×5

... 25 = 5²

The least common multiple must have factors that include all of these*, so must be ...

... 2²×5² = 100

___

* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.

_____

You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).

4 0
3 years ago
Read 2 more answers
On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .
uysha [10]

Answer: DF = 4 in

Step-by-step explanation:

Here in triangle DEF,

In which DE = 4, m\angle D=90^{\circ} , and m\angle E=45^\circ}

Since, tan E = \frac{FD}{DE}

⇒ tan 45^{\circ} = \frac{FD}{DE}

⇒  1 = \frac{FD}{4}

⇒  FD = 4

Thus, first option is correct.

8 0
3 years ago
Read 2 more answers
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