Find the length of AB

At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,

Bogdan [553]

This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m [Now simplify]

2/5 (45 + 5x) = m [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

8 0

3 years ago

Is -7 bigger than - 8

alina1380 [7]

Hey!

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Answer:

True

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Explanation:

The smaller the negative number the bigger it is.

-7 > -8

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Hope This Helped! Good Luck!

8 0

3 years ago

2 1/5 × 5/6 (its a fraction) PLSSS i need it now its a test

Soloha48 [4]

Answer:

$\frac{11}{6} \ \ or \ 1\frac{5}{6}$

Step-by-step explanation:

$2\frac{1}{5} \times \frac{5}{6} \\\\ = \frac{11}{5} \times \frac{5}{6} \\\\=\frac{11}{6}\\\\=1 \frac{5}{6}$

6 0

2 years ago

Read 2 more answers

The table shows the marginal relative frequencies of surveyed drivers’ plans for their next vehicle.

Maslowich

:Answer:

1.) The majority of drivers, about 62 percent, plan to buy a used vehicle next.

3.) Ten percent of drivers lease their current vehicle.

5.) The least percentage of people will lease their next car.

Correct on EDGE2021

3 0

3 years ago

In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:

Anni [7]

The ratio of the distance between the foci and the length of the major axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

Length of the major semiaxis ( $a$ ).
Length of the minor semiaxis ( $b$ ).
Distance between the foci and the center of the ellipse ( $c$ ).

And there is the following relationship:

$c = \sqrt{a^{2}-b^{2}}$ (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity ( $e$ ), which is defined by the following formula:

$e = \frac{c}{a}$ , $0 \ge c \ge 1$ (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the major axis is called eccentricity. $\blacksquare$

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

3 0

2 years ago