P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2.

How many of the group randomly selected are male/female

olchik [2.2K]

50 percent of the group randomly selected that are male and female

6 0

3 years ago

Higher Order Thinking A yellow ribbon

Olegator [25]

Answer:

112

Step-by-step explanation:

8 0

3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

Multiplying both sides by 10 ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be further written as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing 6y to LHS and 150 to RHS

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

8 0

2 years ago

If x + y = x y = 5 then x ^2 y + X Y ^ 2 equals

VikaD [51]

Answer:

25

Step-by-step explanation:

Note x^2y + xy^2 = xy(x+y)

We know xy = 5 and x+y = 5, so

5*5=25

3 0

3 years ago

4h - 6= 22 -8s + 1= 33 -4w - 4= 8 5 +1/7b = -2 i need help on these problems!

Margaret [11]

4h−6=22
1. Add 6 to both sides.
4h−6+6=22+6
4h=28
2.Divide both sides by 4.
4h/4=28/4
h=7

−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
s=-4


−4w−4=8
Step 1: Add 4 to both sides.
−4w−4+4=8+4
−4w=12
2: Divide both sides by -4.
−4w/−4=12/−4
w=−3


Step 1: Simplify both sides of the equation.
1/7b+5=−2
 2: Subtract 5 from both sides.
1/7b+5−5=−2−5
17b=−7
3: Multiply both sides by 7.
7*(1/7b)=(7)*(−7)
b=−49

6 0

3 years ago