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Juliette [100K]
3 years ago
13

The number of boys and girls in a school are in the ratio 5: 7. What is

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

There are 1,680 Girls

Step-by-step explanation:

1 ratio = 240

5 ratio = 1,200

7 ratio = 1,680

Therefore, 5:7 = 1,200 : 1,680

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Find the value of x. Explain your work please.<br>Concurrency of Angle Bisectors
vovangra [49]

Answer:

x+5=2x-1

combine terms

subtract x from both sides and add 1 to both sides

6=x

Answer is A

5 0
3 years ago
ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12.
Naily [24]

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

[(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z

Thus, the final expression is (-11x + y - 12z).

(12)

From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

[(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5

Thus, the final expression is (7x² - y² - x + y + 5).

(13)

What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2

Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

(14)

What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?

A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7

Thus, the expression is (3xy - 7zx + 7yz + 7).

(15)

How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?

A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy

Thus, the expression is (x² - 6y² + 3xy).

7 0
3 years ago
Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking 3 green
Ber [7]
Ok ok I know you hate links but this is the only way to show you the answer.

Full credit to the original owner

https://www.quora.com/What-is-the-probability-that-both-marbles-are-green-if-a-bag-contains-3-green-marbles-and-5-purple-marbles-and-two-are-drawn-at-random-without-replacement

The entire answer is explained in there
4 0
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The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year
Zinaida [17]

Answer:

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Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

y= P(1+r)^x

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

y= P(1+r)^x

y= 250000(1.022)^x

3 0
3 years ago
Zach needs a new pair of running shoes. If the shoes he want to buy are $129.00 and he has 25% off coupon, what is the new price
Alexxandr [17]

129.00 divided by 25% will give you the answer try it tell me if it worked :)

4 0
3 years ago
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