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notsponge [240]
3 years ago
9

It takes Susan 3 hours to fix 2 broken cars and it takes Joseph 4 hours to fix 3 broken cars. If they work together how long wil

l it take them to fix 17 broken cars?
Mathematics
1 answer:
icang [17]3 years ago
8 0
Combined rates

Susan = 2 car / 3 hr
= 2/3

Joe = 3 car / 4 hr
= 3/4

add the rates to get the new combined rate as 17 cars in "t" hours.

2/3 + 3/4 = 17/t

Need common denominator

2/3(4/4) + 3/4(3/3) = 17/t

8/12 + 9/12 = 17/t

17/12 = 17/t

see that "t" is 12 hours
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A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

7 0
3 years ago
Read 2 more answers
PLEASE HURRY NEEDED ASAP
Aleksandr-060686 [28]

Answer:

1: Is a function

2: Isnt a function

3: Is a function

4: Isnt a function

Reminder: Functions CAN"T have the same x values but different y values!!!!

Have a great day!!

Please rate and mark brainliest!!

8 0
2 years ago
Read 2 more answers
What is 1.25 as a fraction?
Dahasolnce [82]
1.25=125/100=5/4......so 5/4 is the answer
8 0
2 years ago
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Which is the focus of a parabola with equation y2 = 4x?
statuscvo [17]

Answer:

(1, 0)

Step-by-step explanation:

Please write this as y^2 = 4x; the " ^ " indicates exponentiation.

The appropriate equation for a horizontal parabola that opens to the right is

y^2 = 4px

Here, we are told that  y^2 = 4x; this tells us that 4p = 4, and so p = 1.  

Again, this parabola is a horizontal one and it opens to the right.  p = 1 is the distance of the focus from the vertex, and in this case p = 1.  Thus, the focus is at (1, 0) (situated on the x-axis).

6 0
3 years ago
this data represents 12 scores on a math test : 1, 5, 9, 13, 14, 19, 19, 24, 26, 30, 31, 35 the cut-off for the lower quartile l
shutvik [7]
9 and 13 im pretty sure is the answer
6 0
3 years ago
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