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Savatey [412]
3 years ago
7

A triangle has the lengths of (10a+9) centimeter,(8a—3) centimeters and (10b+7). Which expression represents the perimeter in ce

ntimeters of the triangle
Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

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Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and
andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

\frac{n!}{n1!*n2!*...*nk!}

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

  \frac{15!}{7!*5!*3!}

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5  and 3 seating.

5 0
3 years ago
Need help with understanding table of ordered pairs , I have two left and that's basically all.
azamat

Answer:

A

Step-by-step explanation:

The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!

8 0
3 years ago
Choose the best score on a quiz. 24 points out of 42 24 points out of 42 75 points out of 135 75 points out of 135 150 points ou
stellarik [79]

Answer:

150/250

Step-by-step explanation:

24/42, 75/135, 150/250, and 75/150 I believe is what you're asking. We know 75/135 is better than 75/150 so 75/150 is out of the equation. If we multiple 75/135 by 2 we get 150/270 which is more than 150/250, so 75/135 is out of the equation. Now to compare 24/42 and 150/250 we can divide their fractions, if we divide 24/42 we get 0.57, so 57%. If we did 150/250 we get 0.6 or 60%. So 150/250 is the best score.

8 0
2 years ago
Read 2 more answers
Find the difference of 5k?-7k +6 and<br> 3k - 4k+1.<br> 2
PIT_PIT [208]

Answer:

2k-3k+5

Step-by-step explanation:

4 0
3 years ago
Whats the answer i need help
julia-pushkina [17]
Answer)3.5
1)minus 17.5-14=3.5
2)14+3.5=17.5
3)keep adding 3.5
6 0
3 years ago
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