Keisha ran 2.4 miles more than Jamal.
Keisha ran 8.5 miles, how many miles did Jamal run?
m = the number of miles Jamal ran
2.4 + m = 8.5
[Keisha ran 2.4 more miles than Jamal(m), she ran a total of 8.5 miles]
2.4 + m = 8.5 Subtract 2.4 on both sides
m = 6.1
Jamal ran 6.1 miles (Your answer is the 2nd option)
Answer:
(m+10)(m-9)
Step-by-step explanation:
To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.
Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)
Answer:
If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.
Step-by-step explanation:
The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.
Area of Circle = PI times Radius squared
Outer circle radius = (22 ft /2) = 11 ft
Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380
Inner circle radius = (16 ft / 2) = 8 ft
Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201
Area of sidewalk = 380 - 201 = 179
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Answer: Leanna ran 39.96 miles before she was passed by Irina.
Step-by-step explanation:
When Irina would pass Leanna, they would have ran the same distance.
Let t represent the time that Leanna ran before she was passed by Irina.
Distance = speed × time
Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is
4.8 × t = 4.8t
During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is
t - 0.333
Distance ran by Irina is
5(t - 0.333) = 5t - 1.665
Since they ran the same distance, then
4.8t = 5t - 1.665
5t - 4.8t = 1.665
0.2t = 1.665
t = 1.665/0.2 = 8.325 hours
Therefore, the distance that Leanna ran before she was passed by Irina is
4.8 × 8.325 = 39.96 miles
Answer:
- 4
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplify
using this rule

= 
=
×
= 3
Then
- 2
+ 2
= - 2(3
) + 2
= - 6
+ 2
= - 4