Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
Answer:
a) Buddy's Unit rate is 11 minutes per 1 mile.
Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.
A unit rate is the amount per one unit.
b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.
Step-by-step explanation:
a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.
Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.
Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.
b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.
y intercept = 1/2
<u>Step-by-step explanation:</u>
Step 1:
Formula y=mx+b in Slope Intercept form( whereas m= slope of the given equation, b= y intercept)
Step 2:
Comparing the given equation y = -3x + 1/2
we get m=-3(Slope) and y-intercept b=1/2
Answer:
40ft
Step-by-step explanation:
Please kindly see the attached file for more explanation
