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Karo-lina-s [1.5K]
3 years ago
9

A manufacturer needs 57 pounds of grapes to make 24 cartons of raisins. how many pounds of grapes would the manufacturer need to

make 16 cartons of raisins?
Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0
They would need 38 pounds of grapes for 16 cartons of raisins
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Alice's grandmothers age is a composite number between 70 and 80 and has a factor of 11 what is it
pshichka [43]

The factor of 11 is going to be 77 because you have to stay in between 70 to 80

and 7 times 11 is 77. It also has to be a number in the 11 timetables. It can't be 88 because we can't cross 80 so the factor is going to be 77.


Hope it helps

6 0
3 years ago
Read 2 more answers
Solve the system by substitution: <br> 3x + 2y = 26<br> Y=x + 3
Orlov [11]

Answer:

x = 4

Step-by-step explanation:

3x + 2y = 26

y = x + 3

Plug in the equation for y

3x + 2(x + 3) = 26

Multiply the 2 with what is in the parantheses

3x + 2x + 6 = 26

Combine like terms and solve for x

5x + 6 = 26

5x = 20

x = 4

5 0
3 years ago
Read 2 more answers
Evaluate the following expression when x = -1, y = 2, z = -3, and<br> w = 4.<br> x² - y²
vaieri [72.5K]

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

7 0
3 years ago
The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
3 years ago
A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m
dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6%  and 280 gallons of 4% after 1 hour.

So the strength at that time =  (420* 6) + 280*4) / 700

= 5.2%.

6 0
3 years ago
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