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Vsevolod [243]
3 years ago
7

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

Mathematics
1 answer:
Temka [501]3 years ago
4 0
Write a system of equations:

x + y = 125

20x + 15y = 2100

Solving:

x = 125 - y

20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80

x + 80 = 125
x = 125 - 80
x = 45

The first charges 45$ per hour and the second charges 80$ per hour
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Sam received a 15 percent tip for delivering pizzas. If the cost of the pizzas was $247.62, what was the total amount he collect
saveliy_v [14]
247.62 x 0.15 = 37.143

round to $37.14

I hope that helped :)
4 0
3 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.
Alex

Answer:

Given two linearly independent vectors w and z

We want -w-z

Hence apply a negative gradient to w

w=-<-5,3> =<5,-3>

So <5,-3>-<1,4> = (<5-1>,<-3-4>)

The answer is <4,-7>

6 0
2 years ago
PLEASE HELP <br><br>What is the slope of this line? <br><br>a) -2 <br>b) -1/2<br>c) 1/2<br>d) 2 ​
anyanavicka [17]

Answer:

C: 1/2

Step-by-step explanation:

Use the slope formula

5 0
3 years ago
Read 2 more answers
Tanner is getting balloons for his mother's birthday party. He wants each balloon string to be 6 feet long. At the party store,
melisa1 [442]
Each balloon string is 6ft , 6ft translates to two yards he’ll need 114 yards.
8 0
3 years ago
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