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2 years ago

April can mow 3/8 of an acre of grass in 45 minutes. How many acres of grass does April mow per hour?

1 answer:

5 0

April mows 4/8 of an acre of grass per hour
I got this answer because I divided 45÷3 and got 15. So, I know that 15×4=60 and in minutes that equals a hour. I changed 3/8 to 4/8 since it was multiplying 4×15 instead of 3×15.

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Susan and terry run a day care center Since they use susans house it was agreed that her share is twice as Terrys if they earn 2

Nadya [2.5K]

The easiest way to do this is to divide 225 by 3, so 225 / 3, and what you get as the sum, in this case it's 75, you would multiply the sum by 2, which equals 150, and that, would be Susan's share. So... 225 / 3 = 75. 75 * 2 = 150. $150 is the amount Susan gets. Hope this helps!

6 0

3 years ago

Sequence of number - 25,23,20,16 do with process

Nitella [24]

Answer:

what should we be finding?

8 0

3 years ago

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Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule (x, y) right-arro

omeli [17]

Answer:

Step-by-step explanation:

The rule (x, y ) → (x + 4, y - 6 )

means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus

P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )

Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )

R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )

6 0

3 years ago

Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.

Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function f(x, y) for which

grad f(x, y) = F(x, y)

This amounts to solving for f such that

∂f/dx = x + 3

∂f/∂y = 6y + 3

Integrating both sides of the first equation with respect to x gives

f = 1/2 x ^2 + 3x + g(y)

Differentiating with respect to y gives

∂f/∂y = dg/dy = 6y + 3

Solving for g gives

g = ∫ (6y + 3) dy = 3y ^2 + 3y + C

and hence

f(x, y) = 1/2 x ^2 + 3x + 3y ^2 + 3y + C

(a) By the fundamental theorem, the integral of F along any path starting at the point P (1, 0) and ending at Q (3, 3) is

∫ F(x, y) • dr = f (3, 3) - f (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to P :

∫ F(x, y) • dr = f (1, 0) - f (0, 0) = 7/2 - 0 = 7/2

• From Q back to the origin:

∫ F(x, y) • dr = f (0, 0) - f (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0

3 years ago

Please help ASAP 50 points :(((

Katyanochek1 [597]

Answer:

(f o g) (x) = 36x² + 3

(g o f) (x) = 6x² + 18

Step-by-step explanation:

f(x) is x² + 3

g(x) is 6x

(f o g) (x) means for all xs in f replace it with g(x) or 6x

(f o g) (x) = (6x)² + 3 - see 6x is in place of x and 6x is g(x)

(f o g) (x) = 36x² + 3

(g o f) (x) = 6(x² + 3)

(g o f) (x) = 6x² + 18

8 0

3 years ago

Read 2 more answers