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3 years ago

Tge ratio of boys to girls is 3 to 2 .if there are 12 boys how many girls are there

Mathematics

1 answer:

Ann [662]3 years ago

5 0

13 i think idk i’m pretty sure it’s 13 ya i think it is

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

5 x + 11 y = 49 --> eqtn 1

u = 3 x^2 + 6 y^2 --> eqtn 2

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

y = (49 – 5x) / 11 --> eqtn 3

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

George will choose some of each commodity but more y than x.

7 0

3 years ago

80 points, need ASAP

Tresset [83]

9x^2 -c =d

add c to each side

9x^2 = c+d

divide by 9

x^2=(c+d)/9

take the square root on each side

x = +- sqrt ((c+d)/9)

simplify

x = +- 1/3 sqrt (c+d)

Answer: 1/3 sqrt (c+d), - 1/3 sqrt (c+d)

7 0

3 years ago

Read 2 more answers

3 3/4 ÷ 3/4 is equal to a) 5 b) 2 c) 3 d) 1

lions [1.4K]

A) 5
hope this helped :)

3 0

3 years ago

Read 2 more answers

What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millime

Serga [27]

Answer:

$328,268 mm^3$

Step-by-step explanation:

The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

$V=\pi r^2 h$

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have:

h = 96 mm is the height of the can

d = 66 mm is the diameter of the can

So the radius of its base is

$r=\frac{d}{2}=\frac{66}{2}=33 mm$

And therefore, the volume of the can is:

$V=\pi (33)^2 (96)=328,268 mm^3$

7 0

3 years ago

Read 2 more answers

During an election, Albert received 60% of the 30 votes cast. Anthony received the remaining votes. How many more votes did Albe

r-ruslan [8.4K]

Answer:

6 votes!

Step-by-step explanation:

Albert: 60% of 30= 18

Anthony: 40% of 30= 12

18 - 12= 6

4 0

3 years ago