Answer:
56x + 34
Step-by-step explanation:
12(3 + 5x) + 1/4(16x - 8)
First, use the distributive property. You will get:
(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)
Next, multiply the numbers. You will then have:
36 + 60x + 4x - 2
Now, rearrange the numbers. The variables go in the front. This is what it should look like:
60x + 4x + 36 - 2
Add 60x and 4x, then subtract 36 and 2. This is your answer:
56x + 34
50.55 x 1.75 = 88
45.2 x 2.25 = 94
Selena drove more miles after (how many) 6
I hope this helped :)
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
Answer:
7
Step-by-step explanation:
First ignore the cut corner and pretend that it is just a rectangle.
The rectangle's area would be 2×4=8.
Then find out the cut corner's area.
The area of that triangle would be 1.
8-1=7 So the area of the shape is 7.
