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3 years ago

A small school has 27 boys .if the ratio of boys to girls is 9:4, how many students are their together

1 answer:

4 0

9:4, so for every 9 boys there are 4 girls. 27 is 3 times 9, so multiply 4 with 3, you get 12. Count them up and BOOM, 39

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

2 years ago

Read 2 more answers

What is the greatest common factor for 12 16 and 28

gayaneshka [121]

$12=\fbox2\times\fbox2\times3\\\\16=\fbox2\times\fbox2\times2\times2\\\\28=\fbox2\times\fbox2\times7\\\\GCF(12;\ 16;\ 28)=\fbox2\times\fbox2=\boxed{\boxed{4}}$

5 0

2 years ago

∠1 and ∠ 2 are vertical angles. If m∠1 = (6x + 11)° and m∠2 = (10x – 9)°, find m∠1. *

SashulF [63]

Answer:

the answer is 41

Step-by-step explanation:

set both equations equal to each other

then add 9 to the opposite side

next subtract 6 from the other side

divide 20 by 4 and get 5

finally plug 5 into the equation for x for angle 1

which leaves you at the end with 41

8 0

2 years ago

Plz help <br> The solution of the equation 2 d - 6 = 5

Monica [59]

2d - 6 = 5
+ 6 +6
2d = 11
/2 /2
d = 5.5

7 0

2 years ago

Read 2 more answers

Help please!!! Thank you

Tpy6a [65]

Answer:

5/7

Step-by-step explanation:

There are a couple ways to solve this. One would be by finding the least common denominator for each one with 2/3, subtracting, and seeing what is left over. Another way is converting to decimals.

2/3=0.666666

————————-

7/8=0.875

8/9=0.88888

4/5=0.8

5/7=0.7143

They are all greater than 2/3 (0.6666666), but 5/7 is the closest, so would have the least waste.

8 0

2 years ago