Answer:
umm 5:3?
Step-by-step explanation:
5:3+5:3=10:6
Ratio of girls : boys = 5 : 4
<u>Find total parts:</u>
Total parts = 5 + 4 = 9
<u>Find 1 part:</u>
9 parts = 36
1 part = 36 ÷ 9 = 4
<u>Find 5 parts (Girls):</u>
Girls = 5 parts = 4 x 5 = 20
Answer: There are 20 girls.
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Answer:
y=5x+9
Step-by-step explanation:
Firstly, we have to use the equation y=mx+b, where m is the slope and b is the y intercept.
We know that m=5, x=0 and y=9.
So why not plug them into the equation to find b?
9=5(0)+b
9=0+b
9=b
Therefore, y=5x+9 is your final answer.
Answer:
18x^2 y^8
Step-by-step explanation:
2(-3xy^4)^2
We know that (ab)^x = a^x b^x
2 * (-3)^2 x^2 y^4^2
2 *9 x^2 y^4^2
We know that a^b^c = a^(b*c)
18 x^2 y^(4*2)
18x^2 y^8
