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Andrews [41]
3 years ago
11

Jasmine mixes 37 ounces of grape juice and 13 ounces of apple juice to make a fruit punch. She will pour the punch into 6-ounce

cups.
A. How many a full cups of punch can she make with the apple and grape juice.

B. Will there be any juice left over?
Explain your thinking and show your work.

Give u 11 points more thanks later
Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.

37 + 13 = 50.

Jasmine is pouring the punch into 6 ounce cups.  To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).

50/6 ≈ 8.33

Therefore, Jasmine can 

A. make 8 full cups of punch with the apple juice and grape juice.

and 

B.  Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.

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Determine whether the series is convergent or divergent.
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Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

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Comparison test states that

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For all n

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Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

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Σ Sin(1/n) diverges too

5 0
4 years ago
If 9 : x= x4. then x= _____.<br>a) 36<br>b) 18<br>c) 24<br>d) 6​
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5 0
3 years ago
30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade
shutvik [7]

Answer:

-45 =x

Step-by-step explanation:

1/5(4x-2.5) = 5(.4x+10) +3 1/2

Change all to decimal form

.2(4x-2.5) = 5(.4x+10) +3.5

Distribute

.8x - .5 = 2x +50 + 3.5

Combine like terms

.8x - .5 = 2x +53.5

Subtract .8x from each side

.8x-.8x - .5 = 2x-.8x +53.5

-.5 = 1.2x +53.5

Subtract 53.5 from each side

-.5 -53.5 = 1.2x +53.5-53.5

-54 = 1.2x

Divide each side by 1.2

-54/1.2 = 1.2x /1.2

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7 0
3 years ago
Solve for xxx: -\dfrac{5}{6}x=-\dfrac{10}{3}− 6 5 ​ x=− 3 10 ​ minus, start fraction, 5, divided by, 6, end fraction, x, equals,
s2008m [1.1K]

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

-\frac{5}{6}x=-\frac{10}{3}

We have to solve for x.

Solution:

-\frac{5}{6}x=-\frac{10}{3}

Now by using Multiplication property of equality we will Multiply both by -6 we get;

(-\frac{5}{6}x)\times(-6)=(-\frac{10}{3})\times(-6)\\\\5x =20

Now by using Division property of equality we will divide both by 5 we get;

\frac{5x}{5}=\frac{20}{5}\\\\x=4

Hence The value of x is 4.

3 0
4 years ago
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