Answer:
You must first divide 3 from both sides.
Step-by-step explanation:
Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.
3d = -81
d = -27
Hope this helps!
Answer:
The new ratio is
⇒ (D)
Step-by-step explanation:
<em>The given information is</em>
- 6 parts of yellow paint with 3 parts of blue paints to make green paint
- The yellow paint adds by 1 part
We need to find the ratio of yellow to blue
<em>Let us find the correct answer</em>
∵ The yellow = 6 parts
∵ The yellow adds by 1 part
∴ The yellow = 6 parts + 1 parts = 7 parts
∵ The blue = 3 parts
∵ The ratio of yellow to blue =
∴ The ratio of yellow to blue = 
The new ratio is
So 8x+4+4x+8=15x-9
Combine like terms.
12x+12=15x-9
Add 9 to both sides.
12x+21=15x
Subtract 12 from both sides.
21=3x
Divide both sides by 3.
x=7
Now plug in 7 for x in 8x+4.
8(7)+4
56+4
=60
Answer:
The third one
Step-by-step explanation:
Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)