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saw5 [17]
1 year ago
9

The ratio of peanuts to total nuts in a bag of mixed nuts is 3 : 7. If the bag has 56 total nuts, how many are peanuts?

Mathematics
2 answers:
DedPeter [7]1 year ago
5 0

Answer:

24 peanuts

Step-by-step explanation:

Gelneren [198K]1 year ago
5 0
Answer is 16.8 peanuts round to 17

(And 39.2 mixed nuts round to 39
Total of 17+ 39 = 56 nuts)

Step by step

Ratio of 3:7 means 3 peanuts to 10
And 7:10 means 7 mixed to 10 total

So your equation for peanuts

3/10 = x/56

Cross multiply

10x = 168

X = 16.8 peanuts rounded to 17 peanuts



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Answer:

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3 years ago
Help me to answer this pls​
nlexa [21]

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

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

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

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

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
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