Answer:
k=4
Step-by-step explanation:
First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.
Answer:
0.125
0.125x = Distance Traveled in Miles
0.125 * 11 = 1.375 Miles Ran
Step-by-step explanation:
First divide 1 mile by 8 minutes
1 mi / 8 min = 0.125 mi
Then you simply show 0.125 * x (x being the number you insert to find the distance) = How far you ran
0.125x = Distance Traveled in Miles
Finally you insert 11 for x and multiply to find the distance
0.125 * 11 = 1.375 Miles Ran
hi
dilation by a scale factor of 2 and a reflection across the y-axis dilation by a scale factor of 2 and a rotation of 90 clockwise about the origin dilation by a scale factor of 1/2 and a reflection across the y-axis dilation by a scale factor of 1/2 and a rotation 90 counter-clockwise about the origin of.
STEP 1:
Total runners originally= 8
# of runners to receive trophies= 4
8-2 drop outs= 6 runners total now
STEP 2:
= # of trophies ÷ total runners now
= 4/6
simplify by 2
= (4÷2)/(6÷2)
= 2/3 runners
ANSWER: 2/3 of the remaining runners will win a trophy.
Hope this helps! :)
Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft