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Troyanec [42]
3 years ago
10

Two mechanics worked on a car. The first mechanic worked for 5

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

<u>Answer:</u>

$50 and $115

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

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

(x*15)hour+(165-x)*5 hour=1325

Solving for x to get:

15x-5x+825=1325

10x=500

x=50

So the rate charged per hour by one mechanic is $50 and for the other mechanic = (165-50)= $115.

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
Mr. Britt is pouring a 36' x 58' concrete pad for a metal building. If concrete costs
Helga [31]

Answer:

Step-by-step explanation:

8 in × (1 ft)/(12 in) = ⅔ ft

36 ft × 58 ft × ⅔ ft = 1392 ft³

1392 ft³ × (1 yd³)/(27 ft³) ≅ 52 yd³

52 yd³ × $123/yd³ = $6396

4 0
3 years ago
Angle 7<br><br> angle 1<br><br> angle 4<br><br> angle 3<br><br> angle 2<br><br> angle 8
mylen [45]

Answer:

The answer is angle 7, 3, and 2

Step-by-step explanation:

Angle 7 is vertical, angle 3 is alternate exterior, and angle 2 is corresponding.

4 0
3 years ago
Find the length of CU, the triangles are similar.
Otrada [13]

Answer:

CU = 117

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{WC}{WU} = \frac{CD}{UV}

substituting in values to the ratios

\frac{26}{36x-1} = \frac{24}{132} ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117


3 0
3 years ago
There are 88 marbles in a bin and 25 percent of the marbles are red how many red marbles are in the bin ?
alina1380 [7]

Answer:

22 marbles are red

25%=1/4

88÷4=22

#CarryOnLearning

6 0
3 years ago
Read 2 more answers
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