First, you combine like terms. I would start by circling the term and the sign in front of it. (A term is a piece separated by an addition/subtraction sign.) You can only combine terms with the same variable. 4.8a-2.1a-6.3b+7b is the same as your equation, just rearranged. Then, subtract (4.8a-2.1a) which is 2.7a. Add (-6.3b to 7b) The answer is 0.7b. If you have any questions, you can message me!
The rate for the first is 1 job / 35 minutes and for the second is 1 job / 15 minutes. So combined we get
r = 1/35 + 1/15
3×5×7r = 3 + 7 = 10
r = 10/(105) jobs per minute
We're interested in 1/r
1/r = 105/10 = 10.5 minutes per job
Answer: 10.5 minutes
<span>In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90
where z is the z-score
X is Vivian's score (940)
µ is the mean (850)
σ is the standard deviation (100)
As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations.
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18 </span>
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 = 24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>
Answer:
Drinks = 6.75
Popcorn= 1
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25 multiply this equation by 6
12*P + 4D = 39.00
<u>12P + 18D = 133.5</u> Subtract these two equations
- 14D = - 94.50 Divide by -14
-14D/-14 = -94.5/-14 Do the division
D = 6.75
=========================
12P + 4D = 39 Substitute for D
12P + 4*6.75 = 39 Combine
12P + 27 = 39 Subtract 27 from both sides
12P + 27-27=39-27 Collect like terms
12P = 12 Divide by 12
12P/12 = 12/12
P = 1 Answer
