How Do You Do 2-Step Equations With Addition , Subtraction, Multiplication and Division?

Mathematics

1 answer:

prohojiy [21]2 years ago

5 0

2x + 4 = 8
- 4 -4
2x = 4
2 2
x = 2

if it helps say thank you

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The sum of two numbers is 150 and the ratio of the same two numbers is 3 to 2 . find the bigger number

krek1111 [17]

Ratio- 3: 2

3x + 2x = 150
5x = 150
x = 30

3x is the larger number so plug in the x value with 30.

3x
3 x 30
90

The larger number is 90.

Hope I helped.. ^^

8 0

2 years ago

Read 2 more answers

Write using exponents. Work from left to right on the grid.<br><br> 6 • 6 • 6

makkiz [27]

The answer is 6^3

6*6*6= 216

6^3= 216

4 0

2 years ago

A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?

grin007 [14]

<h3>Answer: 220 combinations</h3>

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Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

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You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\$