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PilotLPTM [1.2K]
4 years ago
12

You are making trail mix for your camping trip. You add 2 1/4 cups granola, 5/6 cups of chocolate chips, 1/2 cups of almonds, 1

3/8 cups of dried cranberries and 2/3 cups of raisins. How many cups of trail mix did you make in all? Write your answer as a mixed number. *
Mathematics
1 answer:
lesya692 [45]4 years ago
8 0

Answer: The mixed number is 5 5/8 cups of trail mix.

Step-by-step explanation:

  1. Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
  2. Convert the fractions so they have 24 as their denominator.
  • 2 1/4 ; 9/4 = 54/24
  • 5/6 = 20/24
  • 1/2 = 12/24
  • 1 3/8 ; 11/8 = 33/24
  • 2/3 = 16/24

    3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.

     4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8  since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.

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Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height
Serjik [45]

Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is of 1 m.
  • The horizontal change is the length l.
  • The angle is of 30º.

Hence:

tan(30º) = 1/l

l = 1/tan(30º)

l = 1.73.

More can be learned about the slope concept at brainly.com/question/18090623

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2 years ago
Plzz help fast /The volume of the prism
iragen [17]

Answer:

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Step-by-step explanation:

We can find the volume of a triangular prism by thinking about it like this - it's half of a rectangular prism. It's just be cut diagonally. So we can imagine that the measurements of the potential rectangular prism are 6m x 26 m x 22m.

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4 0
3 years ago
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konstantin123 [22]

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Step-by-step explanationaa:

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3 years ago
Which is the equation of the line that passes through the points (-4,-8) and (1,3)​
Thepotemich [5.8K]

Answer:

−5x+13y=84

Step-by-step explanation:

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4 years ago
Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. Dan gets 48 sweets. How many sweets are there altogether?
Mrac [35]

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

y=(3/4)48=36

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Substitute the value of x

z=(5/4)48=60

therefore

altogether there are  x+y+z=48+36+60=144 sweets

3 0
4 years ago
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