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3 years ago

Equations from Word Problems

Mathematics

1 answer:

Setler79 [48]3 years ago

5 0

Answer:

$F(x)=25x+50$

Step-by-step explanation:

First, we know that for every hour for labor he charges $25

So, let x = # of hours

Thus, 25x

Second, he charges $50 for a house call. This does not depend on the # of hours, and serves as our "Starting Pay"

So, we combine and get F(x)=25x+50, where F(x) is the amount he charges

Hope this helps!

Stay Safe!

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What is the height of the triangle? A) 17 units B) 34units C) 51units D) 68units <br><br> Help??

drek231 [11]

Answer:

51 units

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

The reason this is relevant here is that in your case, you start with an equilateral triangle, FGH. An equilateral triangle is also equiangular, so all angles are congruent and measure 60 deg.

m<F = m<FGH = m<H = 60 deg

When the height GR is drawn, <FGH is bisected creating two 30-60-90 degree triangles, FGR and HGR.

The altitude GR also bisects side HF, so

HR = FR = (1/2)HF = 17*sqrt(3)

In 30-60-90 degree triangle FRG, the short leg is FR; the long leg is GR; the hypotenuse is FG.

Now we use the ratio of the lengths of the sides of a 30-60-90 degree triangle.

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

We use only the short leg and long leg parts of the ratios.

17*sqrt(3) : GR = 1 : sqrt(3)

GR * 1 = 17 * sqrt(3) * sqrt(3)

GR = 17 * 3

GR = 51

8 0

3 years ago

Sam rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 97 cents for each mile dri

Lina20 [59]

Answer:

177

Step-by-step explanation:

First you must subtract the base fee from the total amount of the bill: $187.68 - 15.99= 171.69$

Then divide the remaining amount of the bill by the charge of .97 cents per mile: $171.69/.97=177$

<em>Hope this helps!</em>

5 0

3 years ago

For every 21 litres of petrol a car can run for 80 km. How much petrol do you need (to 1 DP) to ensure the car has enough petrol

geniusboy [140]

Answer:

Step-by-step explanation:

5 0

2 years ago

Please help I don't know how to do this

OverLord2011 [107]

You literally just need to click yes then call it a day it’s simple don’t worry too much :D

6 0

3 years ago

Which of the following are solution to the inequality below -4w - 2 < -38

FromTheMoon [43]

Answer:

w > 9

Step-by-step explanation:

Solve the inequality by using inverse operations.

-4w - 2 < -38

-4w < -36

w > 9

Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.

8 0

3 years ago