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malfutka [58]
3 years ago
13

Each of my daughters has as many brothers as sisters, but each of my sons has three times as many sisters as brothers. How many

children do I have?
Mathematics
1 answer:
melomori [17]3 years ago
3 0
Put the number of daughters as x and number of sons as y.

For the first half of the statement:
Number of sisters any daughter has = x-1 ( because you can't be your own sibling)
Number of brothers = y

y=x-1.

For the second half:
Number of sisters any son has = x
Number of brothers any son has = y-1

3(y-1)=x

Solve as system of equations.
3y-3=x
3(x-1)-3=x
3x-3-3=x
2x=6
x=3
y=x-1=3-1=2

3 daughters and 2 sons.

Hope this helps!
Your fortune is "You can't have everything...where would you put them all?"
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In 1 and 2 create a data table from the point plotted on the graph.
Sever21 [200]

all you have got to do is make a table and in the top put x bottom the numbers that go up are x and the others are y in the table just write down the numbers needed


6 0
3 years ago
$5 is what percent of $5?
ch4aika [34]

Answer:

$5 is 100% of $5.

4 0
3 years ago
Read 2 more answers
Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time
Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = \pi r^{2}

25 = \pi r^{2}

\frac{25}{\pi } = r^{2}

r = \sqrt{\frac{25}{\pi } }

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x\sqrt{\frac{25}{\pi } }

this means that if the diameter of dan's circle is 4 times bigger it must be

8x\sqrt{\frac{25}{\pi } }

to find the radius of dan's circle we divide the diameter by to 2 to give

4x \sqrt{\frac{25}{\pi } }

then use the a=\pi r^{2} equation again

a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi

which equals 400

hope that helped

6 0
3 years ago
Please show me how you got the answer. Will give brainliest.
umka21 [38]

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

\displaystyle{\frac{90}{100}=\frac{369}{x}}

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

90x = 369*100        Simplify by multiplying.

90x = 36,900            Isolate the variable <em>x</em>.

\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}           Divide both sides by 90 to cancel out 90 on the left.

\displaystyle{x = \frac{36,900}{90}}              Divide.

x = 410                    Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0
2 years ago
List some values of x that would make this inequality true. -2x&gt;10
fredd [130]

Answer:

2x>10

Step-by-step explanation:

4 0
3 years ago
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