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.
Step-by-step explanation:
the answer is 54 cm
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Let the numbers be 2x and 3x.
<u>According to the Question</u>,
⇒ 2x + 3x = 45
⇒ 5x = 45
⇒ x = 45/5
⇒ x = 9
<u>Now finding the values of both the number,</u>
⇒ 2x = 2 × 9
= 18
⇒ 3x = 3 × 9
= 27
<u>Hence, the value of both the number is 18 and 27 respectively.</u>
The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm
<u>Solution:</u>
Given a right angled triangle,
The sides measure 7 cm and 24 cm
We have to find the length of hypotenuse
For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
From above definition we get,
Where, "c" is the length of hypotenuse
"a" is the length of one side of triangle
"b" is the length of other side of triangle
Here, a = 7 and b = 24 and c = ?
Taking square root on both sides,
Hence the length of hypotenuse is 25 cm
