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igor_vitrenko [27]
2 years ago
10

The ratio of boys to girls at King Middle School is 3:2. What is the ratio of girls to all students?

Mathematics
1 answer:
saul85 [17]2 years ago
8 0
I’m pretty sure it’s 2:5 hope that helps!
You might be interested in
-4 (2x + 13) + 3x = 80<br> How do you solve this out and get the answer
shusha [124]
Hey :)

x= -12

Use the distributive property to multiply −4 by 2x+13


−8x−52=3x+80
Subtract 3x from both sides
−8x−52−3x=80


Combine −8x and −3x to get −11x
−11x−52=80

Add 52 to both sides
−11x=80+52


Add 80 and 52 to get 132
−11x=132


Divide both sides by −11
x= 132/-11
​

Divide 132 by −11 to get −12
x=−12


Hope this helps :)
6 0
2 years ago
If x= 4, what is the value of 8x + 15?<br> OA. 47<br> B. 52<br> C.<br> 92<br> D.<br> 152
Olenka [21]

Answer:47

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8,2)
Elis [28]
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
7 0
3 years ago
HG is the perpendicular bisector of FK.<br> What is the length of GH?<br> 8<br> 9<br> 15<br> 34
igor_vitrenko [27]

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

GH= √225

=15

4 0
2 years ago
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