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mixas84 [53]
3 years ago
11

Mia spends 45 min reading each day. She does 2/5 of her reading at school. How many minutes does Mia spend reading at school?

Mathematics
2 answers:
Anarel [89]3 years ago
4 0
Multiply 2/5 by 45.

2/5 * 45 = 2/5 * 45/1 = 90/5 = 18

Answer: Mia spends 18 minutes reading at school.
Cerrena [4.2K]3 years ago
3 0
Mia spends 18 minutes reading at school.
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Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
zzz [600]

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{\sqrt{a}-\sqrt{b}} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

\sqrt{a}+\sqrt{b}.

If you had  \frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}, then you would multiply top and bottom the conjugate of \sqrt{a}+\sqrt{b} which is \sqrt{a}-\sqrt{b}.

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First:  a(a)=a^2

Outer: a(-b)=-ab

Inner:  b(a)=ab

Last:    b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of \sqrt{17}-\sqrt{2} is

\sqrt{17}+\sqrt{2}.

This is the thing we are multiplying and top and bottom.

3 0
3 years ago
Read 2 more answers
The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percen
Sholpan [36]

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

P_n=P_0(1+r)^{n}

Where P_n = final population

P_0 = Initial population

r = percentage growth

Now we substitute these values in the formula,

7921=7547(1+r)^1

\frac{7921}{7547}=(1+r)

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

4 0
3 years ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da
lilavasa [31]
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
(x_1,y_1) and (x_2,y_2)
is given by
m= \frac{y_2-y_1}{x_2-x_1}

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
m= \frac{800-0}{80-0} = \frac{800}{80} =10


Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9

It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
7 0
3 years ago
The price of a gallon of gasoline increased from 2.50 a gallon to 2.75 a gallon what was the percent increase
Vera_Pavlovna [14]
The increase in price was 10%
2.5*.1=.25
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hope this helps
8 0
2 years ago
Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with
alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0
3 years ago
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