First you need to distribute. when you do this you get (8v+8w)-(7v+14w) then you get like terms together, but don't forget that everything in (7v+14w) is negative. when you group like terms together you get (8v-7v)+(8w-14w) simplify and you get v-6w
Answer:
A = 6
So
Side A = 6
Side B = 11
Side C = 3
Side D = 13
Explanation:
To solve perimeter of a quadrilateral, you use this formula:
side A + side B + side C + side D = total perimeter.
If the four sides are A, A + 5, A – 3, and 2A + 1 then you need to solve for A.
Write out an algebraic formula with these values:
A + (A + 5) + (A – 3) + (2A + 1) = P
You also know that the total perimeter is 33, so :
A + (A + 5) + (A – 3) + (2A + 1) = 33
You can add all the A values together to combine like terms like this:
5A + 5 – 3 + 1 = 33
Solve fore A:
5A + 3 = 33
5A = 33 – 3
5A = 30
A = 30 ÷ 5
A = 6
Check your answer:
A + (A + 5) + (A – 3) + (2A + 1) = 33
(6) + ((6) + 5) + ((6) – 3) + (2(6) + 1) = 33
(6) + (11) + (3) + (13) = 33
17 + 16 = 33
33 = 33
Answer:
y = (x-1)^2 - 2
Step-by-step explanation:
The parabola vertex point is always (h, k) in y = (x-h)^2 + k
All you have to do is look at h and k to find your vertex. Since in y = (x-1)^2 -2 has an h of -1 (Which makes it positive 1 when you plug it in) and a k of -2, that means that is your answer.
9514 1404 393
Answer:
1.05
Step-by-step explanation:
Following instructions, we have ...
Z = (X -μ)/σ
Z = (180 -159)/20 = 21/20
Z = 1.05
The Z-score associated with the value 3 minutes is 1.05.
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<em>Additional comment</em>
About 14.7% of customers will be getting free coffee.
Answer:
a. $3.36
b. $70.86
Step-by-step explanation:
5% of $67.50 is $3.36
$67.50 + $3.36 = $70.86
