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NISA [10]
3 years ago
9

A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory uses 5/6 of a bag of flour yesterday. How many

batches of cookies did the factory make?
Mathematics
1 answer:
aliina [53]3 years ago
7 0


From the information given, each batch of cookies requires 1/6 of a bag of flour.

So how many batches can be gotten from 5/6 of the bag of flour?

We form an equation

1batch  = 1/6

x batches = 5/6

Where x is the number of batches from 5/6 bag of flour.

Cross multiplying this equation we get:

x * 1/6 = 1 * 5/6

simplify it:

x * 0.16 = 1 * 0.83

x = 1 * 0.83 / 0.16

x = 0.83 / 0.16

x =  5.2

Therefore  factory made approximately 5 batches of cookies yesterday.

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PLsss help 15 points!
Lubov Fominskaja [6]

Answer:

90 square cm.

Step-by-step explanation:

For similar figures, the length of corresponding sides are proportional.

So we can write 4k = 6 where k is the proportionality constant.

<u>Note: </u>In terms of area, the scale factor would be k^2 and in terms of volume, it would be k^3y

Solving 4k = 6, we see that k = 6/4 or 3/2

We need area, so we <u><em>multiply area of ABC by k^2 to get area of PQR.</em></u>

<u><em>40(\frac{3}{2})^2\\=40(\frac{9}{4})\\=90</em></u>

<u><em /></u>

Area of PQR = 90 cm^2

6 0
3 years ago
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Subtract-a^2-5ab+3ab^2 from 3a^2-2ab+3b2
sergejj [24]

The correct answer is 4a^2 + 3ab

In order to find this, we can write the equation out as described and then follow the order of operations.

3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative

3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms

4a^2 + 3ab

5 0
3 years ago
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The value of the digit in the hundreds place in the number 653841 is 1/10 the value of the digit in the thousands place in which
Lapatulllka [165]
Your answer will be B. Hope i helped =)

5 0
3 years ago
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Question 3: Find the vertex of - x2 - 4x + 12
tatuchka [14]

Answer:

A. (-2,16)

Hope this helps :)

4 0
3 years ago
You order from a catalog the following office supplies: 10 boxes of paper, each box is 6 pounds and 36 boxes of pens, each box w
babymother [125]

$40.50 10 boxes at 6lbs = 60lbs

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             60 lbs plus 27 lbs = 87 lbs total weight

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$12+$10+$18.50= $40.50

6 0
3 years ago
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