Answer: it will take Sebastian's mom 45 minutes to catch up with the bus.
Step-by-step explanation:
By the time Sebastian's mom catches up with the bus, she would have covered the same distance with the bus.
Let t represent the time it will take for Sebastian's mom to catch up with the bus.
Distance = speed × time
Sebastian's school bus averages 28 miles per hour.
Distance covered by Sebastian's school bus in t hours is
28 × t = 28t
Sebastian's mom travelled at an average speed of 42mph. Since she left home 0.25 hour after Sebastian, the time it would take her to cover the same distance is
(t - 0.25) hour. Distance covered in
(t - 0.25) hour is
42(t - 0.25)
Since the distance covered is the same, then
28t = 42(t - 0.25)
28t = 42t - 10.5
42t - 28t = 10.5
14t = 10.5
t = 10.5/14
t = 0.75
Converting to minutes, it becomes
0.75 × 60 = 45 minutes
Answer:
B) 1 inch = 16 feet
Step-by-step explanation:
Given that her house is exactly 56 feet wide and that we do not now any other measurement she has clearly draw her house to be 3.5 inches wide
If 1 inch = 16 feet
3 * 16 feet = 48 feet
48 feet is a 8 feet short from 56 feet
and exactly 16 / 2 = 8
So the most logical would be that she drew the width of her house to be 3.5 inches.
<span><span>Using the form: ax^2 + bx
+ c = y
</span>
y = h(x), c = 0</span>
<span>
equation 1</span>
<span><span>x=1; y=58
</span><span>
a(1^2) + 1b = 58
a + b = 58
</span></span>
<span><span>equation 2
</span><span>
x=2; y=112
a(2^2) + 2b = 112
4a + 2b = 112
:
Multiply the 1st equation by 2, subtract from the 2nd equation
a + b = 58 x 2 = 2a+2b = 116</span></span>
<span><span>subtract that from 2nd</span><span>
equation
</span>
4a +2b =112 – 2a+2b= 116 =</span>
2a = -4
A = -4/2 = -2
<span>
<span>
Find b using: a + b = 58
-2 + b = 58
b = 58 + 2
b = 60
use equation: h(x) = -2x^2 + 60x
Find the height, in feet,of the rock after 10 seconds in the air.;
x=10
h(10) = -2(10^2) + 60(10)
h(10) = -2(100) + 600
h(10) = -200 + 600
h(10) = 400 ft </span></span>
<span> The rock is 400 feet in the air after 10
seconds</span>
Volume = length x width x height or V = lwh as a formula if you will.
Let's substitute what we know into the formula:
100 = 4(5)h multiply the 4(5) on the right side
100 = 20h divide both sides of the equation by 20
5 = h
the height of the rectangular box is 5 feet
Answer:
Step-by-step explanation: