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3 years ago

Rewrite 27 as a base and exponent without using an exponent of 1

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

Step-by-step explanation:

$27 = {3}^{3} \\ base \: = 3 \\ exponent = 3$

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Which statement is true about numbers to the left of 0 on a number line?

NemiM [27]

Answer:

Numbers to the left of 0 on a number line or anywhere are always negative,

Step-by-step explanation:

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3 years ago

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Your lunch bill for Saturday after noon is $12.19. You leave a 20% tip and are charged 8% sales tax. Your lunch bill for Sunday

m_a_m_a [10]

Answer:

You pay more for your lunch bill on Sunday

Step-by-step explanation:

You pay a total of $15.80 on Saturday and $16.27 on Sunday

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3 years ago

Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

jonny [76]

Answer: The answer is 400 blue marbles.

Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

$n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,$

and number of blue marbles is

$n_b=560-364=196.$

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

$n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.$

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

$65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.$

Thus, 400 blue marbles need to be added to the bag.

5 0

3 years ago

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Place parentheses and brackets in the expression below so that it equals 18.

Ahat [919]

Answer:

Step-by-step explanation:

$\{{2}^{3} (4 \div 2) \}+ 2 \\ \\ = \{{2}^{3} \times 2 \} + 2 \\ \\ = {2}^{3 + 1} + 2 \\ \\ = {2}^{4} + 2 \\ \\ = 16 + 2 \\ \\ = 18$

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3 years ago

Four points are always coplanar if: Check all that apply. A. they lie in the same plane. B. three of them are coplanar. C. all o

drek231 [11]

<h2>Answer:</h2>

Four points are always coplanar if:

A. They lie in the same plane.

C. all of them are collinear.

<h2>Step-by-step explanation:</h2>

<u>Coplanar--</u>

The points are said to be coplanar if all of them lie in the same plane.

<u>Collinear-</u>

The points are said to be collinear if all of them lie on a straight line.

Also as we know that a line always lie in one plane and so all the points that lie on that line will also lie in the same plane.

Hence, we may say that Four points will be coplanar if all of them are collinear.

Hence, the correct options are:

Option: A and Option: C

6 0

3 years ago