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DedPeter [7]
3 years ago
7

Rachel used 4.5 cups of apple juice in fruit punch that serves 12. Andy used 4.75 in his that serves 10. How much more apple jui

ce is in one serving of andys punch
Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

Andy's punch contains 0.1 of a cup of apple juice more than what Rachel's serve of punch contains.

Step-by-step explanation:

Given:

Rachel uses 4.5 cups of apple juice in fruit punch that serves 12.

Andy uses 4.75 cups of apple juice in fruit punch that serves 10.

To compare the unit cups of apple juice per serving

Solution:

Using unitary method to find the unit prices:

For Rachel 12 servings contain 4.5 cups of apple juice.

∴ 1 serving would contain = \frac{4.5}{12}=0.375 cup of apple juice

∴ Per serve content of apple juice = 0.375 of cup

For Andy 10 servings contain 4.75 cups of apple juice.

∴ 1 serving would contain = \frac{4.75}{10}=0.475 cup of apple juice

∴ Per serve content of apple juice = 0.475 of cup

Difference in unit cups per serve of apple juice for Andy and Rachel = 0.475-0.375=0.1

On comparing the the unit cups of apple juice per serve for Andy and Rachel we see that unit cup per serve for Andy is more than Rachel by 0.1 of a cup of apple juice.

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Solve | 5+7= 17.
alisha [4.7K]

The solutions of the absolute value equation is determined as 15 and - 5.

<h3>Solution to the absolute equation</h3>

The solution to the absolute equation is determined as follows;

|x - 5| + 7 = 17

<em>collect similar terms</em>

|x - 5|  = 17 - 7

|x - 5|  = 10

<em>to resolve the absolute values, form two equations as follows;</em>

x - 5 = 10 and x - 5 = -10

x = 15 and x = -5

Thus, the solutions of the absolute value equation is determined as 15 and - 5.

The complete question is given as;

|x - 5| + 7 = 17

Learn more about absolute values here: brainly.com/question/1301718

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3 0
2 years ago
What is this equal<br> how can I solve similar trigonometric integrals like this one
Angelina_Jolie [31]

Answer:

ln|sec θ + tan θ| + C

Step-by-step explanation:

The integrals of basic trig functions are:

∫ sin θ dθ = -cos θ + C

∫ cos θ dθ = sin θ + C

∫ csc θ dθ = -ln|csc θ + cot θ| + C

∫ sec θ dθ = ln|sec θ + tan θ| + C

∫ tan θ dθ = -ln|cos θ| + C

∫ cot θ dθ = ln|sin θ| + C

The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.

∫ sec θ dθ

∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ

∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ

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3 0
3 years ago
Which is an equation in point-slope form for the given point and slope?<br> Point: (7, 4) Slope: 6
Solnce55 [7]
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4 0
3 years ago
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Find the surface area of a rectangular prism with a
Ann [662]

Answer: 228 yds^2

Step-by-step explanation:

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8 0
3 years ago
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
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