Answer:
Twine needed to wrap 29 cartons = 51.55 yards
Explanation:
1 feet = 0.3333 yard
1 inch = 0.0277778 yard
Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches
= 1 + 2 x 0.3333 + 4 x 0.027778
= 1.777712 yards.
Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.
Twine needed to wrap 29 cartons = 51.55 yards
Answer: 24
Step-by-step explanation:
Number of marbles in jar = 32
Let blue marbles be represented by b.
Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b
We then add them together. This will be:
3b + b = 32
4b = 32
b = 32/4
b = 8
There are 8 blue marbles
Since green is 3× blue. Therefore,
Green = 8 × 3 = 24 marbles
<h3>
Answer:</h3>
4. -3
5. 3
<h3>
Step-by-step explanation:</h3>
4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
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5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
A. is the answer.
the 2 triangls have AD = AC
and AB as a common side. therefore the triangls are congruent.
The formula for the future value A, given annual interest rate r, number of years t, and deposit amount P can be written as
... A = P(1 +r/12)((1+r/12)^(12t) -1)/(r/12)
Filling in the given numbers, you have
... A = 200(1+.0275/12)((1+.0275/12)^(12·39) -1)/(.0275/12) ≈ 167,868.30
The appropriate choice is $167,868.30.
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The formula is the one for the sum of a geometric series. It can be useful to consider the last deposit made as the first term of the series.
