32 ft, 10 subtract the width of the path and you're left with an 8 foot by 8 foot square equal on all sides, 8 times 4 is 32 getting you the amount of fence needed

7 0

3 years ago

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

$A + 40 + 60 = 170$

$A + 100 = 170$

$A = 170 - 100$

$A = 70$

the weight of boy A (Adam) is $A = 70$ pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

7 0

4 years ago

A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it take for that train to travel 100 mi

pychu [463]

Answer: 1 hour and 50 min

Step-by-step explanation:

5 0

2 years ago

The focus of a parabola is (-10, -7), and its directrix is x = 16. Fill in the missing terms and signs in the parabola's equatio

avanturin [10]

Answer: (y-3)^2= 52(x+7)

The focus is (-10, -7) and the directrix is x=16. The y-coordinate of the vertex should be same as the focus(k=-7). Then the x-coordinate of the vertex would be:
p + (-10)= 16 - p
2p= 16 + 10
p=26/2= 13

The x-coordinate of the vertex would be:
h= p+ (-10)
h= 13 - 10= 3

The vertex coordinate would be: (h, k)= (3, -7)
For a vertex (h, k), the formula for equation would be
(y-k)^2=4 p(x-h)
(y-3)^2= 4*13(x--7)
(y-3)^2= 52(x+7)

7 0

3 years ago