Answer:
Jacob finished the race faster than Daniel.
Step-by-step explanation:
We have that,
Daniel completed the hurdle in of a minute i.e. 75% of a minute.
Jacob completed the hurdle with remaining of a minute i.e. 41.7% remaining of a minute.
Now, as we have that,
75% of a minute = 45 seconds
41.7% of a minute = 25 seconds
Since, Jacob had time remaining.
Thus, Jacob had = 60 - 25 = 35 seconds remaining.
So, Daniel ran in 45 seconds and Jacob ran in 35 seconds.
Hence, we get that, Jacob finished the race faster than Daniel.
Jacob
Given:
At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in
or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
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Quick Steps
Daniels: in of the a min.
Jacob: in of the a min.
Jacob's time is shorter, so he's the fastest.
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Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.
Keywords: at a track meet, Jacob and Daniel, compete in 220 m hurdles, Daniels, finishes, in 3/4 of the a min, Jacob, finishes, with 5/12 of a min, remaining, who, ran, the race, in faster time, diagram
B. the variable y represents the pounds of roasted coffee in the 46$ purchase
C. the consumer spent 46$ and purchase 5 pounds of espresso
D. the consumer spent 46$ and purchase 5 pounds of roasted coffee
Answer: B. the variable y represents the pounds of roasted coffee in the 46$ purchase.
Step-by-step explanation:
Given: The rate of espresso = $8.50 per pound
The rate of coffee = $10.25 per pound
The equation represents a online purchase.
............(1)
and .................(2)
from equation (2), 8.5 is the coefficient of x, thus variable x represents the pounds of espresso and 10.25 is the coefficient of y, thus variable y represents the pounds of roasted coffee in the total purchase of $46.
And equation (1) represents the total pounds of espresso and roasted coffee.
Hence only option B is correct.
the answer is B because the x represents the amount of espresso purchased and y represents the amount of roasted coffee purchased.
in total 5 pounds were purchased and it cost a total of $46 for the combination of types of coffee
2 thousands divided by 10=
Answer:
1. 60 2. 200
Step-by-step explanation:
600÷10= 60
2000÷10=200
Answer:
60 and 200
Step-by-step explanation:
When divideing by 10 you can cancel the zeros from both the numertor and denominator