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Hitman42 [59]
3 years ago
8

Expand and simply a) 2(4c+5d)+3(c-3d) b) 6(3m+n)-4(m-n)​

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

a. 11x + d

b. 15m + 10n

Step-by-step explanation:

a. 2(4c+5d) + 3(x-3d)

Break the brackets:

2*4c + 2*5d + 3*x - 3*3d

= 8x + 10d + 3x - 9d

Collect like termsL

= 8x + 3x + 10d - 9d

= 11x + 1d

b. 6(3m+n) - 4(m-n)

Break the brackets:

= 6*3m + 6*n - 3*m - 4*(-n)

= 18m + 6n - 3m - (-4n)

= 18m -3m + 6n + 4n

= 15m + 10n

Hope this helped :3

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The sixth grade debate team has a boy to girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
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laiz [17]

Answer:

(2,10) or x=2 y=10

Step-by-step explanation:

<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>

5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)

5x=2y-10 (Divide the 5 from the x)

x=2/5y-2

<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>

3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)

6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)

36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)

y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)

y=10

<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>

5x-2(10)=-10 (Multiple 2 by 10)

5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)

5x=10 ( Divide 10 by 5)

x= 2

<em>4. If needed, plug in the values of x and y to check your solution.</em>

Hope this could help! :)

3 0
2 years ago
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Aneli [31]

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3 years ago
Can somebody please solve question 11 for me?
love history [14]
1+tan^2(A) = sec^2(A) [Pythagorean Identities]

tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)


*see photo for complete solution*

6 0
3 years ago
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