Answer:
at least three are dimes
so we have 20 coins with a total of 3.50
if the rest are all quarters then there would be 4*3+2=14 but we need 20
so we are 6 short
we must have dimes in multiples of 5
12 q + 5 d=3.50 but only 17 coins
10q +10 dimes=3.50 with 20 coins
10 q +13 dimes total
algebraic solution
d+q=23
25q+10d=380
d=23-q
Givens
Slower plane
r = r
t = 2.5 hours
d = d
Faster Plane
r_faster = 1.5 * r
t = 2.5 hours
d1 = d + 127.5
The time is the same for both
t = d/r
d1/r1 = d/r
(d+ 127.5)/1.5r = d/r Multiply each side by r
(d + 127.5)/1.5 = d Multiply both sides by 1.5
d + 127.5 = 1.5d Subtract d from both sides.
127.5 = 1.5d - d
127.5 = 0.5d Divide by 0.5
127.5 / 0.5 = d
255 = d
Now you can go back and figure out the rates.
First find d1
d1 = d + 127.5
d1 = 255 + 127.5
d1 = 382.5
<em><u>Rate of the slower plane</u></em>
d = 255
t = 2.5 hours
r = d/t
r = 255/2.5
r = 102 miles per hour.
<em><u>Faster plane</u></em>
d1 = 382.5 miles
t = 2.5 hours
r1 = d/t
r1 = 382.5/2.5 = 153 miles per hour.
Answer:A is the answer just took test
Step-by-step explanation:
Answer:
this may be wrond but I think it is -12 m/s
Step-by-step explanation:
If two angles are known to be the same, the triangles are similar! If this is true, then by default the third angle will be the same. So, triangles that have two of the same angles MUST be similar!
