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serg [7]
3 years ago
5

an ice cream factory makes 270 quarts of ice cream in 10 hours. how many quarts could be made in 12 hours? what was that rate pe

r day?
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:  The factory would make <u>324 quarts </u>of ice cream every <u>12 hours</u>.

They make 27 quarts of ice cream per hour, so if they made ice cream for 24 hours, they would be making 648 quarts every day.

Step-by-step explanation:

You would find how may quarts they make an hour by dividing 270 by 10 hours, which brings you out to 27 quarts an hour.

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2x + y = 12<br> 4x - 3y = 2
7nadin3 [17]

Answer:

The value of x for equation is 3.4

The value of y for equation is 5.2  

Step-by-step explanation:

Given as :

The two linear equation are

2 x + y = 12           ........A

4 x - 3 y = 2              .........B

Now, Solving both equations , we get

3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2

Or, 6 x + 3 y + 4 x - 3 y = 36 - 2

Or, (6 x + 4 x) + (3 y - 3 y) = 34

Or, 10 x + 0 = 34

∴  x = \dfrac{34}{10}

i.e x = 3.4

So, The value of x for equation , x = 3.4

Put the value of x into eq A

∵ 2 x + y = 12

Or, y = 12 - 2 x

Or, y = 12 - 2 × 3.4

Or, y = 12 - 6.8

∴ y = 5.2

So, The value of y for equation , y = 5.2

Hence, The value of x for equation is 3.4  and The value of y for equation is  5.2   Answer

4 0
3 years ago
Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16
HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

|A'B'|=k\times |AB|   .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}

PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}

It is noticed that the size of side in preimage is 2\sqrt{13} and the size of same side in image is \sqrt{13}.

Using equation (1), we get

\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

7 0
3 years ago
Read 2 more answers
Convert 8.5 hours into second
jeka57 [31]
Answer: 30,600 seconds
8 0
3 years ago
Read 2 more answers
How to slove -10 -1 need help
yuradex [85]

Answer:

-10 - 1 = x

Step-by-step explanation:

If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)

5 0
3 years ago
cable costs $50 for installation and $100 a month. satellite costs $200 for installation and $70 a month. what month will the co
sdas [7]

Answer: The cost will be the same on month 5.

Step-by-step explanation:

x = number of months

50 + 100(x) = $550

200 + 70(x) = $550

x = 5

5 0
3 years ago
Read 2 more answers
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