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3 years ago

PLEASE ANSWER I NEED HELP!

Mathematics

1 answer:

mash [69]3 years ago

8 0

Answer:

25/2

Step-by-step explanation:

The marked angles are supplementary, so ...

117 + (6x -12) = 180

6x = 75 . . . . . . . . . . . subtract 105

x = 25/2 . . . . . . . . . . divide by 6

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Students surveyed boys and girls separately to determine whether they wanted outdoor

vazorg [7]

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

$\frac{20}{17}$

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

$\frac{x}{85}$

Equate both fractions

$\frac{20}{17} = \frac{x}{85}$

Multiply both sides by 85

$85 * \frac{20}{17} = \frac{x}{85} * 85$

$85 * \frac{20}{17} = x$

$\frac{1700}{17} = x$

$100 = x$

$x = 100$

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

Recall that the question says the same number of boys and girls were surveyed

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

$Outdoor = \frac{3}{3 + 2} * Total$

$Outdoor = \frac{3}{3 + 2} * 185$

$Outdoor = \frac{3}{5} * 185$

$Outdoor = \frac{555}{5}$

$Outdoor = 111$

Hence, the number of girls that chose outdoor is 111

4 0

3 years ago

A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it

lys-0071 [83]

The probability for choosing green and red is $\frac{1}{12}$

Solution:

Given that , A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble.

We have to find what is the probability of choosing a green marble, not replacing it, and then choosing a red marble?

Now, we know that,

$\text { probability of an event }=\frac{\text { number of favourable outcomes }}{\text { total number of outcomes }}$

So, total possible outcomes = 1 red + 1 yellow + 1 blue + 1 green = 4

$\text { Now, probability for green marble }=\frac{1 \text { green marble }}{4 \text { marbles }}=\frac{1}{4}$

And now, total outcomes will be only 3 as we are not replacing the picked marble.

$\begin{array}{l}{\text { Then, probability for red marble }=\frac{1 \text { red marble }}{3 \text { marbles }}=\frac{1}{3}} \\\\ {\text { Then overall probability }=\frac{1}{4} \times \frac{1}{3}=\frac{1}{12}}\end{array}$

Hence, the probability for choosing green and red is $\frac{1}{12}$

6 0

3 years ago

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What is the solution to this system of equations ?

Vanyuwa [196]

Answer: x=2,y=6,z=−5

Step-by-step explanation:

7 0

3 years ago

The following graph represents the quadratic parent function. TRUE OR FALSE

Alex17521 [72]

Answer:

True

Step-by-step explanation:

the graph makes a loop and both ends go in the same direction

3 0

3 years ago

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alina1380 [7]

30 dollars per disk.

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3 years ago