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mihalych1998 [28]
3 years ago
5

|4-24x|=52 absolute value

Mathematics
1 answer:
Verdich [7]3 years ago
8 0
|4-24x|=52
24x=56
2.333~ is your answer
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the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $1300. wha
abruzzese [7]

Answer:

1st mechanic charges $55 per hour

2nd mechanic charges $50 per hour

Step-by-step explanation:

Suppose rate charged per hour for first meachnic is "x"

rate charged per hour for 2nd mechanic is "y"

So,

1st mechanic 10 hrs, 2nd mechanic 15 hrs, total charge 1300, so we can write:

10x + 15y = 1300

Also, total hourly rate of both is 105, so we can write:

x + y = 105

or

x = 105 - y

We can substitute this into 1st equation and solve for y:

10x + 15y = 1300\\10(105-y) + 15y = 1300\\1050-10y+15y=1300\\5y=250\\y=50

And x is:

x = 105 - y

x = 105 - 50

x = 55

1st mechanic charges $55 per hour

2nd mechanic charges $50 per hour

5 0
3 years ago
In the diagram, △ABC∼△DEF. The area of △ABC is 180 square centimeters. Find the area of △DEF.
Alexeev081 [22]

Answer:

20

Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.

4 0
3 years ago
Read 2 more answers
What is the equivlalent expression of 4 plus 4 plus 4 plus 4 plus 4 plus 4 plus 4​
Rudiy27

Answer:

4x7

Step-by-step explanation:

4x7=28

4+4+4+4+4+4+4=28

3 0
3 years ago
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I need the the unknown angle measures
Valentin [98]

Answer: Mark brainliest if satisfied

m<B=72 degrees

m<C= 36 degrees

Step-by-step explanation:

m<B is congruent to m<A

72 times 2 equals 144

180 minus 144 equals 36

6 0
3 years ago
Given sin x = -4/5 and x is in quadrant 3, what is the value of tan x/2
love history [14]

bearing in mind that, on the III Quadrant, sine as well as cosine are both negative, and that hypotenuse is never negative, so, if the sine is -4/5, the negative number must be the numerator, so sin(x) = (-4)/5.


\bf sin(x)=\cfrac{\stackrel{opposite}{-4}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{adjacent}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-(-4)^2}=a\implies \pm\sqrt{9}=a\implies \pm 3=a \\\\\\ \stackrel{III~Quadrant}{-3=a}~\hfill cos(x)=\cfrac{\stackrel{adjacent}{-3}}{\stackrel{hypotenuse}{5}} \\\\[-0.35em] ~\dotfill

\bf tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}\qquad \leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\[-0.35em] ~\dotfill

\bf tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{1-\frac{3}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{\frac{2}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{5}\cdot \cfrac{5}{2} \\\\\\ tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{2}\cdot \cfrac{5}{5}\implies tan\left( \cfrac{x}{2} \right)=-2

4 0
4 years ago
Read 2 more answers
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