Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
1 to 2
Multiply by 2
2 to 3
Add by 1
3 to 6
Multiply by 2
6 to 7
Add by 1
7 to 14
Multiply by 2
14 to 15
Add by 1
Do you see the pattern?
Multiply by 2 and then add by 1; repeat the process.
Have an awesome day! :)
Answer:
b. 6
Step-by-step explanation:
I'm not 100% sure if this is the answer but here was my thinking process:
1/4 of 24 is 6, and 6 + 3 is 9, so the brothers age is probably 9, and then 24-9 is 15, and the difference between 15 and 9 is 6. Once again I don't know if this is right or not, but either way I hope this helps!
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation:
The number of ways that the dancers can line up is; 518400 ways
<h3>What is the Fundamental Counting Theorem?</h3>
The fundamental counting theorem is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
N = n1 * n2 * n3.....*nₙ
Total = 12
Dancers on Green = 6
Dancers on blue = 6
Number of ways for those wearing green = 6!
Dancers wearing green must be in the first position and so 6 places are left for the blue dancers.
Number of ways to arrange those wearing blue = 6!
Thus;
Number of ways that the dancers can line up = 6! * 6! = 518400 ways
Read more about Fundamental Counting Theorem at; brainly.com/question/26814852
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