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Vladimir79 [104]
3 years ago
15

Antonette gets $70\%$ on a 10-problem test, $80\%$ on a 20-problem test and $90\%$ on a 30-problem test. If the three tests are

combined into one 60-problem test, which percent is her overall score, rounded to the nearest percent?
Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

Percentage score will be 83.33 %

Step-by-step explanation:

We have given Antonette gets 70 % on 10 problem test

Let consider here here total problem = total marks

So marks get 10 10 problem test = 10×0.7 = 7

Marks get in 20 problem test = 20×0.8 = 16

And marks get in 30 problem test = 30×0.9 = 27

Now total marks get get by Antonette = 7 +16 + 27 = 50

And total marks = 60

So percentage score of Antonette =\frac{50}{60}\times 100=83.33 %

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Write the expression in simplest form using only positive exponents (x^2/3y^-1/2)^-6
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\left( \cfrac{x^2}{3y^{- \frac{1}{2} }} \right)^{-6}=\left( \cfrac{3y^{- \frac{1}{2} }}{x^2} \right)^{6}=\left( \cfrac{3}{x^2y^{ \frac{1}{2} }} \right)^{6}= \cfrac{3^6}{x^{2*6}y^{ \frac{1}{2}*6 }} = \cfrac{729}{x^{12}y^3}
5 0
3 years ago
Talia used 1/3 of a piece of wood for the base of her project 1/4 of the piece of wood for the vertical support and the rest for
Veseljchak [2.6K]

Answer:

The fraction of wood used for horizontal support is \frac{5}{12}.

Step-by-step explanation:

Assume that the total piece of wood is of length 1.

It is provided that Talia used \frac{1}{3} of the piece of wood for the base of he project.

She use \frac{1}{4} of the piece of wood for the for the vertical support.

The remaining wood she used for horizontal support.

The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.

Compute the amount of wood used for horizontal support as follows:

Horizontal\ support=1-Base\ of\ project-Vertical\ support\\= 1 - \frac{1}{3}-\frac{1}{4}\\  =\frac{12-4-3}{12} \\=\frac{5}{12}

Thus, the fraction of wood used for horizontal support is \frac{5}{12}.

3 0
3 years ago
Choose the correct term that makes the sentence true. The (greatest) (or) (least) of the common factors of two or more numbers i
stiv31 [10]
the greatest is 10 and the least is one but I don't know for sure but I don't know if that what you looking for
5 0
3 years ago
Solve this question <br>a=7+3​
mr Goodwill [35]

Answer:

<h2>10</h2>

Step-by-step explanation:

<em>The answer is 10 because 7 + 3 equals 10!</em>

<em></em>

<em>This can be proven by adding 7 + 3 or by subtracting in a certain way.</em>

<em>7 + 3 = ?</em>

<em>7 + 1 = 8</em>

<em>7 + 2 = 9</em>

<em>7 + 3 = 10</em>

<em></em>

<em>You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.</em>

<em></em>

<em>If you subtract 7 by 10, ( 10 - 7 ) then you get 3</em>

<em>If you subtract 3 by 10, ( 10 - 3 ) then you get 7</em>

<em>If the number you subtracted matches the number that you didn't subtract, then your answer is correct.</em>

<em></em>

<em>Hope this helps! <3</em>

5 0
3 years ago
Read 2 more answers
Just an answer and simple explanation! Thank you.
vazorg [7]

Answer:

15

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0
2 years ago
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