9514 1404 393
Answer:
90 miles
Step-by-step explanation:
Let d represent the distance to Grandma's house.
The speed going was ...
speed = distance/time
speed = d/2
The speed coming home was ...
speed = d/2.25
The difference of these speeds is 5 miles per hour:
d/2 -d/2.25 = 5
2.25d -2d = 5(4.50) . . . . . multiply by 4.50
0.25d = 22.5 . . . . . . . . . . .simplify
d = 90 . . . . . . . . . . . . . . . . multiply by 4
Grandma's house is 90 miles away.
If you would like to know the price Jay can pay the manufacturer for the blow up bed, you can calculate this using the following steps:
100% + 40% = 140%
140% of x is $299
140% * x = 299
140/100 * x = 299 /*100/140
x = 299 * 100 / 140
x = $213.6
40% of $213.6 = 40% * 213.6 = 40/100 * 213.6 = 85.44
$213.6 + $85.44 = $299
The correct result would be $213.6.
Step-by-step explanation:
-3x + 6 = 2x - 24
6 = 5x - 24
30 = 5x
x = 6
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
Answer:
12cos59, about 6.18
Step-by-step explanation:
cos59 = x/12
(adjacent/hypotenuse)
x = 12cos59
plugging this into a calculator gets you about 6.18
