In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.
5/2 miles per hour
(3/4÷1/4)=3 miles per hour☆☆☆☆☆☆☆
41/4 miles per hour
4 miles per hour
Answer:
Infinite solutions
Step-by-step explanation:
2x−7y=12 (1)
−x+3.5y=−6 (2)
(2) x = 3.5y + 6
(1) 2(3.5y+6) - 7y = 12
7y + 12 - 7y = 12
12 = 12 (a true statement)
Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.
One of the solutions:
(6,0)
<span><span>L
* W = 300 sq ft
</span><span>
Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>
<span>
<span>
Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>
length = 30 feet, width = 10 feet
<span> Check:
30*10 = 300</span>
Answer:
No.
Step-by-step explanation:
It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135
Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.