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Luden [163]
3 years ago
11

1. Joel needs 24 apples for bobbing at his party. How many pounds of apples does Joel need? Explain. 8 apples weigh 3 3/4 pounds

Mathematics
1 answer:
harina [27]3 years ago
8 0

I think it is 11 1/4 pounds

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If GF is a midsegment of CDE, find CD.<br><br> A. 3.4<br><br>B. 6.8 <br><br>C. 13.6 <br><br>D. 14
bogdanovich [222]

Answer:

C


Step-by-step explanation:

Triangle CGF and triangle CED are similar. Hence, the ratio of their corresponding sides are equal. Thus we can write:

\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}

<em>We can now cross multiply and solve for CD:</em>

\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}\\(5x+4)(3x+0.8)=(2x+3)(CD)\\15x^2+4x+12x+3.2=(2x+3)(CD)\\15x^2+16x+3.2=(2x+3)(CD)\\CD=\frac{15x^2+16x+3.2}{2x+3}

Since GF is a midsegment of CDE, CD is double of CF. So we can write:

CD=2CF\\\frac{15x^2+16x+3.2}{2x+3}=2(3x+0.8)\\\frac{15x^2+16x+3.2}{2x+3}=6x+1.6\\15x^2+16x+3.2=(6x+1.6)(2x+3)\\15x^2+16x+3.2=12x^2+18x+3.2x+4.8\\15x^2+16x+3.2=12x^2+21.2x+4.8\\3x^2-5.2x-1.6=0

<em>By using quadratic formula \frac{-b+-\sqrt{b^2-4ac} }{2a} and with a=3, b= -5.2, and c= -1.6, we find the value of x to be:</em>

\frac{5.2+-\sqrt{(-5.2)^2-4(3)(-1.6)} }{2(3)}=2


<em>Since the expression for CD is \frac{15x^2+16x+3.2}{2x+3} , we plug in x=2 into this expression to find value of CD:</em>

\frac{15(2)^2+16(2)+3.2}{2(2)+3}=13.6

The correct answer is C

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2 years ago
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gtnhenbr [62]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Given that xy=3/2 and both x and y are nonnegative real numbers, find the minimum value of 10x (3y/5)
Stells [14]

The munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.

<h3>What are nonnegative real numbers?</h3>
  • Non-negative real numbers are the set of positive real numbers that are bigger than 0 (zero).
  • That is, the true values are either positive or negative.
  • The collection will include numbers such as 0, 1, 2, 3, 4, 5, and so on.

To find the minimum value of 10x (3y/5):

Given - y = 3/(2x)

So, we want the bare minimum of,

  • = 10x + 3/5 × 3/(2x)
  • = 10x + 9/(10x)

Take the derivative to obtain:

  • = 10 - 9/(10x^2)

When you set it to zero, you get:

  • = 100x^2 - 9 = 0
  • = (10x-3)(10x+3) = 0
  • = x = ± 3/10

So, at x = 3/10, y = 5 and 10x + 3y/5 = 3 + 3 = 6.

Therefore, the munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.

Know more about nonnegative real numbers here:

brainly.com/question/26606859

#SPJ4

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2 years ago
Whats 4 plus 43242443534134
Svetlanka [38]

Answer:

43242443534138

Step-by-step explanation:

4 0
2 years ago
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If the diagonal of a square is 12 centimeters, the area of the square is
galina1969 [7]
My answer of the square is 72
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