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KengaRu [80]
3 years ago
9

A factory uses 3 2/3 barrels of raisins in each batch of granola bars. Yesterday, the factory used 7 1/3 barrels of raisins. How

many batches of granola bars did the factory make yesterday?
Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

  2 batches

Step-by-step explanation:

You can estimate the number of batches as ...

  (7 barrels)/(3 barrels/batch) ≈ 2 batches

Then you can check to see if it is actually 2 batches:

  (3 2/3) × 2 = 6 4/3 = 7 1/3 . . . . . . yes, it is exactly 2 batches

lilavasa [31]3 years ago
6 0

Answer: 2 batches

Step-by-step explanation:

I do this a bit more simple then it might be in a high school, but here’s how you get the answer.

There was 7 1/3 barrels of raisins yesterday, so we can turn that into an improper fraction (22/3)

Then you turn 3 2/3 into an improper fraction

(11/3)

The denominator is the same, so you don’t need to convert.

22/3 and 11/3

11 + 11 = 22 (you can do this in your head if you want) so there was two batches made.

Hope I helped a bit/ made things simpler ^^

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Two bags had 100 kilograms of sugar each. after taking out 3 times as much sugar from bag one than bag two, bag one had half as
Serjik [45]

According to the given statement, we can get the equation:

50 - 3x = 1/2 (50-x)

where x = amount removed from bag two, 3x removed from bag one

 

Then we multiply both sides by 2 (to eliminate the ½)

 

100-6x= 50-x

Add 6x to both sides

100= 50-5x

Then subtract 50 from both sides

50=5x

Lastly, divide by 5

10=x

 

Therefore 10 kg of sugar was removed from bag 2

 

further, 3x= 30, so 30 kg of sugar was removed from bag 1.

 

50-30=20 kg remaining in bag 1.

<span>50-10=40 kg remaining in bag 2.</span>

6 0
4 years ago
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X increase by 10 is equal to 33​
GrogVix [38]

Answer:

x=23

Step-by-step explanation:

let's make this question into equation form

x increase by 10; or x+10

is equal to 33; or =33

so it would look like this; x+10=33

now we can solve it in reverse

<em>33-10=23</em> so x is 23.

hope this helped, have a great day.

8 0
3 years ago
A box has rectangular top, bottom, and sides. The top and bottom are square. The volume must be 7 cubic meters. Express the tota
SVEN [57.7K]

Answer:

Step-by-step explanation:

Given

Box has top and bottom as  square

Volume =7 m^3

let l ,b ,h be length, breadth and height of box

l=b because top and bottom as square

thus volume =b^2\cdot h

b^2=\frac{7}{h}

Total surface area(TSA)=2\left ( lb+bh+hl\right )

TSA=2\left ( b^2+bh+bh\right )

TSA=2\left (  b^2+2bh\right )

TSA=2\left ( \frac{7}{h}+2h\times \sqrt{\frac{7}{h}}\right )

TSA=2\left ( \frac{7}{h}+2\sqrt{7h}\right )

7 0
4 years ago
The theater sells two types of tickets: adult tickets for $15 and child tickets for $3. Last night, the theater sold a total of
Nuetrik [128]

Step-by-step explanation:

An adult ticket will be x.

Each adult ticket costs 15 dollars, so 15x

A child ticket will be y.

Each child ticket costs 3 dollars, so 3y

334 tickets were sold, totaling 3342 dollars.

15x + 3y = 3342 dollars in total.

Unknown number of adult tickets plus unknown number of child tickets equals to 334, so:

x number of adult tickets + y number of child tickets = 334 tickets in total.

x + y = 334

There are two equations in a system.

Use substitution:

x + y = 334

y = 334 - x

And plug it into other equation:

15x + 3(334 - x) = 3342

Solve for x since the question only asked for total number of adult tickets sold at theater (<em>remember x is the number of adult tickets</em>)

15x + (1002 - 3x) = 3342

15x + 1002 - 3x = 3342

Bring all x variables to one side and constants to other side:

15x - 3x = 3342 - 1002

12x = 2340

Divide both sides by 12:

x = 195

With that answer, we can conclude that 195 adult tickets were sold at the theater last night!

ANSWER: 195

3 0
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Alisiya [41]

Answer:

yes

Step-by-step explanation:

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7 0
3 years ago
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