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ra1l [238]
3 years ago
5

marco has 37 1/2 ounces of juice he wants to pass out samples of the juice each cup can hold 2 1/2 ounces of juice how many cups

can marco fill with juice samples
Mathematics
2 answers:
Crank3 years ago
8 0
So 37 1/2
each can hold 2 1/2 oz

how many cups can he fill

37 1/2=75/2
2 1/2=5/2

x=number of cups
x times 5/2=75/2
5/2x=75/2
multiply both sides by 2
5x=75
divide both sides by 5
x=15
he can fill 15 cups
Yuki888 [10]3 years ago
5 0
The answer is Marco can pass out 15 cups that hold 2.5 ounces of juice.
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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
3 years ago
20. what us the area of the figure:
Varvara68 [4.7K]
If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that AC^{2} + BC^{2} equals AB^{2} .
Now, you know that AC=BC and that AB=24.
So you'll get 2AC^{2} =24^2 . You do the square root in both sides and you get that 2AC=24 and AC=12.

Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)

And so the area is equal to 72.</span>
8 0
3 years ago
Best Buy claims that 68% of people that walk into one of their stores end up not purchasing an item. To test this, they randomly
Tema [17]

Answer:

Yes.

Step-by-step explanation:

As long as the individual's that have been selected as part of the study were actually selected randomly then yes. If there was no bias or other external factors affecting the probability of getting chosen then these individual's would clearly represent the entire population of Best Buy customers. Therefore, if the data gathered from these individuals results in being 68% of that population that does not buy anything then this would result in a valid claim by Best Buy.

5 0
3 years ago
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Dominik [7]

Answer:

17

Step-by-step explanation:

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6 0
3 years ago
Round 33.885 to the nearest 100th​
maria [59]

Answer:

33.89

Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

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The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

6 0
2 years ago
Read 2 more answers
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