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Free_Kalibri [48]
3 years ago
5

The answer to this plzzz

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0
The chemist needs 381.6 milliliters for their experiment.

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After being discounted 40%, a weather radio sells for $35.97. find the original price. (round your answer to the nearest cent.)
tia_tia [17]

It is given in the question that

After being discounted 40%, a weather radio sells for $35.97.

It means the weather radio sells at a 60% of original price.

Let the original price be $x.

Therefore according to the question,

60% \ of \ x = 35.97
\\
0.6x = 35.97
\\
x = $59.95

Therefore the original price of the weather radio is $59.95.

5 0
3 years ago
A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
3 years ago
In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 17.16 kilograms. What was the percent the p
valentinak56 [21]
(17.16-13)/13=0.32=32%
the percent of change=the amount of change/the original number
3 0
3 years ago
Chapter 4, Final Chapter! - What is the Slope?
Minchanka [31]

Answer:

The Slope is -1/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest

6 0
3 years ago
0.9 written as a fraction is _____.<br> 9/10<br> 10/11<br> 1
Airida [17]

Answer:

0.9 can be written as a fraction \frac{9}{10}

Step-by-step explanation:

0.9 written as a fraction

if we have no denominator at the bottom then we put 1 at the bottom

0.9 can be written as \frac{0.9}{1}

Now we need to remove the decimal point

we have 9 after the decimal point. one number after the decimal point.

To remove the decimal point we multiply both top and bottom by 10

\frac{0.9*10}{1*10}

\frac{9}{10}

0.9 can be written as a fraction \frac{9}{10}

8 0
3 years ago
Read 2 more answers
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