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Evgesh-ka [11]
3 years ago
11

In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains

126 pinwheel cookie, How many ginger cookies are there?
Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

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Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

3 0
3 years ago
What is the measure of Zx?
Tatiana [17]

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

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x = 145

6 0
3 years ago
Consider a machine that exchange quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert u
Afina-wow [57]
No because it says you can only insert up to 5 Dollar Bills unless you put them in one at a time.
8 0
3 years ago
Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every foge guinea pig
Amiraneli [1.4K]
You can do this by converting this into a ratio or a fraction

Ratio:
1 lb for 4 guinea pigs
1:4
If he was 8 lbs for x guinea pigsit would be

1:4
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Multiply the first ration until the one is equal to 8, then whatever the four turns into is x

Fraction: (easier way)

1/4 (1lb for 4 guinea pigs)
8/x (8lb for x guinea pigs)
1/4 = 8/x
Multiply one until it is equal to 8
Correspond that to the 4

1*8 = 8
4*8 = 32

32 guinea pigs

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3 years ago
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