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slava [35]
3 years ago
7

in kurt's school, the ratio of boys to girls is 4/3. of 120 students are boys, how many students are girls?

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

90 of the students are girls.

Step-by-step explanation:

Boys : Girls

B : G

4 : 3

120 : ?

(120 ÷ 4 = 30) so 4 × 30 = 120

(Do this to the other side) 3 × 30 = 90

B : G

120 : 90 [90 girls out of 210 total students]

Hope this helps. :)

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jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

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1 year ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
AlexFokin [52]

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

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Substituting the values into the quadratic formula, we have;

x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}

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4 0
1 year ago
I really need help with this last problem
gogolik [260]

Answer:


Step-by-step explanation:

a. Profit, p, earned from selling x hats when hat will be sold for $12 each:

p = 12x


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x >= 1500/12 = 12.5

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c. New hat price = $15 so p = 15x

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Answer:

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