All categories

3 years ago

There are 35 students in a college algebra class. If two fifths of the students are female, how many students are in the class?

Mathematics

1 answer:

sergejj [24]3 years ago

8 0

Answer:

35.

Step-by-step explanation:

You mentioned that there are 35 students in a college algebra class.

You might be interested in

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

4 years ago

12-2(n-1)=-18<br><br> aa help plzz

Luda [366]

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

12−2(n−1)=−18

Step 1: Simplify both sides of the equation.

12−2(n−1)=−18

12+(−2)(n)+(−2)(−1)=−18(Distribute)

12+−2n+2=−18

(−2n)+(12+2)=−18(Combine Like Terms)

−2n+14=−18

Step 2: Subtract 14 from both sides.

−2n+14−14=−18−14

−2n=−32

Step 3: Divide both sides by -2.

−2n /−2 = −32 /−2

n=16

8 0

3 years ago

Where does the graph of y=-3x-18 intersect with the x axi

fiasKO [112]

Intersect with x axis indicates that x value would be Zero

Thus when x = 0

y would be
y = -18

Therefor intersection would be at (0,-18)

8 0

3 years ago

A machinist drilled a conical hole into a cube of metal as shown.

Mnenie [13.5K]

Answer:

512ft³

Step-by-step explanation:

If the cube its sides of all 8 feet, then the length, width, and height is 8 feet. Then, multiply 8 by 8 you get 64 and then multiply 64 by 8 to get 512.

7 0

3 years ago

Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

8 0

3 years ago