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hichkok12 [17]
2 years ago
13

If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
8 0

Answer:

A. 240

B. 225

Step-by-step explanation:

50% of ? = 150

80% of ? = 150 x (80%/50%)
80/50 = 1.6

%/% = 1

1.6 x 1 = 1.6

80% of 300 = 150 x 1.6

150 x 1.6 = 240

80% of 300 = 240.

25% of 900 = ?

900 x 25 = 22500

22500/100 = 225

900 x 25% = 225

225 people bring their lunch to school on Thursday.

Natali [406]2 years ago
5 0

Answer:

5/100x900=180

Step-by-step explanation:

answer 180

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When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
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We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


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3 years ago
Which of the following are true statements using the Associative Property of Multiplication?
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Answer:

All of the following statements are true because the products, three or four numbers, remain the same regardless of how the numbers are grouped.

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What is the volume of a cone with diameter 21 m and height 4 m?
natima [27]

For this case we have by definition, that the volume of a cone is given by:

V = \frac {1} {3} * \pi * r ^ 2 * h

Where:

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h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

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