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3 years ago

Subtract: 12 3/8 - 8 1/5 A) 4 2/3 B) 4 1/20 C) 4 2/13 D) 4 7/40

1 answer:

5 0

Find the common denominator.
12 15/40 - 8 8/40 = 4 7/40 and the answer is D. Hope it helps! If you could vote my answer as the brainiest, that would be awesome! :)

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

Simplify 8(x + 3) - 2x. Answer options: A) 6 x + 3 B) 7 x C) 6 x + 24

s344n2d4d5 [400]

Answer:

Expand the bracets then simplfy and then factorise

4 0

2 years ago

Read 2 more answers

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another eq

Alex Ar [27]

Answer:

90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

5 0

3 years ago

M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write

Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: $11M > 88$

The solution: $M > 8$

Step-by-step explanation:

Given

From the question, we have the following parameters:

$M + H + G > 22$

$H = \frac{1}{4}M$

$G = \frac{3}{2}M$

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

$M + H + G > 22$

$M + \frac{1}{4}M + \frac{3}{2}M > 22$

Multiply through by 4

$4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4$

$4M + M + 6M > 88$

$11M > 88$

Divide both sides by 11

$M > 8$

4 0

3 years ago

Explain how you would use algebra tiles to solve x - 3 = 7

Andrew [12]

Answer:

Start by laying out 7 tiles, and then adding 3. Whatever that number of tiles is equals x.

x = 10

10 - 3 = 7

7 0

2 years ago

Read 2 more answers