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Morgarella [4.7K]
3 years ago
10

A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does

the mechanic charge per hour for labor? Enter your answer in the box. $
Mathematics
2 answers:
jasenka [17]3 years ago
6 0
Lets x is the labor charges per hour
3x + 126.53 = 220.28

3x = 220.28 - 126.53
3x = 93.75
x = 93.75  /  3
x = 31.25

answer:  $31.25 per hour charged for labor
AleksandrR [38]3 years ago
4 0
$31.25, I took 220.28 subtracted 126.53, then with the number I got I divided it by three and got 31.25.
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Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76
yKpoI14uk [10]

Answer:

12 cm²

Step-by-step explanation:

Length of rectangle = 5.6 cm

Width of rectangle = 2.1 cm

Area of rectangle = Length of rectangle×Width of rectangle

⇒Area of rectangle = 5.6×2.1

⇒Area of rectangle = 11.76 cm²

11.76 has 4 significant figures in order to write this term in 2 significant terms we round of the term

The last digit in the decimal place is 6. Now, 6≥5 so we round the next digit to 8 we get

11.8

Now the last digit in the decimal place is 8. Now, 8≥5 so we round the next digit to 2 we get

12

∴ Hence the area of the rectangle when rounded to 2 significant figures is 12 cm²

5 0
3 years ago
From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle
Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ 1\text{ minute } =\frac{1}{60}\text{ degree }

20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}

50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}

By the below diagram,

tan ( 12^{\circ} 50') = \frac{8.20}{y}

tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}

tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}

\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}

Now, again by the below diagram,

tan (31^{\circ}20')=\frac{x}{y}

tan(31+\frac{1}{3})=\frac{x}{y}

\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0
3 years ago
At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr
dmitriy555 [2]
X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also 

2x + 4y  = 38 ...........(2)

(1) and (2) are the required equations

b)  Find how many maches are in progress by solivng the above equations:-

x + y  =  13   multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38   Adding to removes the  terms in x:-

2y = 12

y = 6  

so x = 13-6 = 7

So the answer is  6 double matches and 7 singles are in progress.
5 0
3 years ago
What is the nth term rule of the linear sequence below?
hoa [83]

Answer:

a_n=-5-2(n-1)

Step-by-step explanation:

Since this sequence starts with -5 and decreases by 2 with each term, its rule would be:

a_n=-5-2(n-1)

Hope this helps!

7 0
3 years ago
The larger of two consecutive integers is 11 more than one-half the smaller
Pachacha [2.7K]
I think it's 23 or 52
3 0
3 years ago
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