Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

1 stall = 4 bundles

4 bundles = 1 stall

11 bundles = x

Cross Multiply

4x = 11

x = 11/4

x = 2 3/4 stalls

The greatest number of stalls he can build is 2 stalls

7 0

2 years ago

Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on v

joja [24]

Answer:

Step-by-step explanation:

A.)

Let the equal number of hours be represented by variable h;

The two equations will be as follows;

Jack; 40 +30h

Mark; 50 +25h

Next, equate them;

40 + 30h= 50 + 25h

30h - 25h = 50 - 40

5h = 10

h =10/5

h = 2

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30h = 40 + (30*2)

=40 + 60

= $100

8 0

2 years ago

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x + 1,

vova2212 [387]

A cross-section is a disc with radius $x + 1$

$V = \int_0^7 A(x)\, dx = \int_0^7 \pi(x+1)^2dx = \int_0^7 \pi(x^2 + 2x + 1)dx \\ \\
= \pi \left[ \frac{1}{3}x^3 + x^2 + x\right]_0^7 = \pi\left( \frac{1}{3}(7)^3 + 7^2 + 7\right) = \frac{511}{3}\pi$

4 0

2 years ago