Yes 124 and 741 are relatively prime
Answer:
x = 8
Step-by-step explanation:
Triangle OBC is congruent to triangle OBA (SAS ---- side angle side)
Answer:
x=1 and y=4/5
Step-by-step explanation:
<u>Given system of equations</u>
3x+5y=7
5x+10y=13
<u />
<u>Multiply first equation by 2</u>
2(3x+5y)=2(7)
6x+10y=14
<u>Eliminate y-variable to get "x"</u>
6x+10y=14
<u>- 5x+10y=13</u>
x = 1
<u>Substitute x=1 into either equation and find "y"</u>
3x+5y=7
3(1)+5y=7
3+5y=7
5y=4
y=4/5
Therefore, x=1 and y=4/5
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
Answer:
a) 120 words per minute
b) 130 words per minute
Step-by-step explanation:
A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.
a) Jasmine can read 120 words per minute
Jasmine reading unit rate = total number of words read / time taken
Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute
b) It takes Scott one minute to read 130 words
Scott reading unit rate = total number of words read / time taken
Scott reading unit rate = 130 words / 1 minute = 130 words per minute
