Answer:
George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today
Step-by-step explanation:
Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.
Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.
Mathematically;
time = distance/speed
He walks 1 mile at 3 miles per hour.
Thus, the total amount of time he spend each normal day would be;
time = 1/3 hour or 20 minutes
Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.
Let the unknown speed be x miles/hour
Mathematically;
We shall be using the formula for time by dividing the distance by the speed
1/3 = 1/2/(2) + 1/2/x
1/3 = 1/4 + 1/2x
1/2x = 1/3 - 1/4
1/2x = (4-3)/12
1/2x = 1/12
2x = 12
x = 12/2
x = 6 miles per hour
Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.
Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.
Answer:
Discount = $30, Final price = $90
Step-by-step explanation:
25% is one quarter. 120/4=30
One quarter of 120 is 30, so - 30 would give discounted price of $90.
Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.
Hope this helped!
Answer:
$7.43
Step-by-step explanation:
f (fries) = 1.01
d (drinks) = 1.07
1.05f + 1.07d = ?
To solve this problem, you need to replace the variable with the amount of each item.
1.05(3) + 1.07(4) = ?
Now we can solve by multiplying and adding:
3.15 + 4.28 = ?
<u>7.43</u>
Answer:
h= -7
hope this helps!!:)
Step-by-step explanation:
