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Lelu [443]
3 years ago
8

The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able

to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time?
What was the track teams initial relay time in minutes?
Mathematics
1 answer:
klemol [59]3 years ago
3 0
Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by 2.1 minutes.

Then they are able to reduce that time by 10

If their final time is 3.96 minutes, then

x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7

Hence, their beginning time was 15.7 minutes.
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Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ

$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
3 years ago
He can you guys help me with this ?​
antiseptic1488 [7]
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8 0
2 years ago
The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit
Butoxors [25]

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

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Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

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According to this, the answer is that the club made a profit of $96 from the shirt sale.

4 0
2 years ago
the sum of two numbers is 60. the larger number is 12 more than the smaller number. what is the number?
allochka39001 [22]
The larger number is: 36
The smaller number is: 24

Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12

If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.
5 0
2 years ago
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