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Ivahew [28]
3 years ago
13

The ratio of nuts to candies in a trail mix is 7:2.Which 2 combinations of candies and nuts could be in the trail mix? A.2 candi

es and 9 nuts B.6 candies and 21 nuts C.7 candies and 9 nuts D.8 candies and 28 nuts E.14 candies 4 nuts please help
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

The 2 combinations of candies and nuts that could be in the trail mix are:

6 candies and 21 nuts Option B

8 candies and 28 nuts Option D

Step-by-step explanation:

Step 1: write the ratio

Nuts : Candies = 7 : 2

Step 2: Write the ratio of each option and simplify it to the lowest term

Option A:  Candies = 2 and Nuts = 9, ratio of Nuts to candies = 9:2 wrong

Option B:  Candies = 6 and Nuts = 21, ratio of Nuts to candies = 21:6

             3 is a common factor

             21: 6 = 7: 2    Correct

Option C:  Candies = 7 and Nuts = 9, ratio of Nuts to candies = 9:7 wrong

Option D:  Candies = 8 and Nuts = 28, ratio of Nuts to candies = 28:8

             4 is a common factor

             28: 8 = 7: 2    Correct

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Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
Vadim26 [7]

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6x^{4} - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )

= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term

= (6x² - 5)(x² + 2)

8 0
3 years ago
Read 2 more answers
Six friends equally share the cost of a gift. They pay $90 and receive $42 in charge . How much does each friend pay?
sergij07 [2.7K]

Answer:

$8.00

Step-by-step explanation:

Let's set up the equation first.

What do we know:

1. We have 6 friends spliting the costs of the gifts

2. After purchasing the gifts they have $42 in change

3. They originally had $90 to spend.

Equation:

6f + $42 = $90

Next: Subtract the $42 from each side and we are left with:

6f = $48

Divide both sides by 6 and we are left with

f = $8

Since f represented the cost each friend spent our answer is $8.00

3 0
3 years ago
A duck weighs​ 3 1/2 ​pounds.
sineoko [7]
56 oz

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6 0
3 years ago
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A circle has a diameter of 12 inches. What is its area in terms of π?
Natalka [10]

Answer:

36π

Step-by-step explanation:

Since you have to use terms of pi you just leave out pi out of the formula

A = πr² so it would be

A = r²       Radius is half of diameter so half of 12 = 6

A = 6²

A = 36

Than you add pi

36π

Hope this helped

4 0
4 years ago
Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and then
tensa zangetsu [6.8K]
<h3>Answer:  n+15</h3>

=======================================================

Explanation:

  • n = number of minutes
  • cost of company X = 3n+30
  • cost of company Y = 2n+15

To find out how much more company X charges, we subtract the two cost expressions

CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

--------------

An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.

This example helps confirm the answer. I'll let you try out other examples.

8 0
2 years ago
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