2 years ago

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Mathematics

1 answer:

enyata [817]2 years ago

4 0

Answer:

addition prop of equality

Step-by-step explanation:

youre welcome

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2 years ago

Last year 64 new houses were built in a neighborhood so far this year 7/8 of them have been sold how many new houses have been s

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Answer:

Step-by-step explanation:

for this problem you would first figure out what 1/8 of 64 is. 1/8 of 64 is 8.so we do 7*8 to get 56 so 56 of the 64 houses have been sold

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1 year ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

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2 years ago

Each beehive on Larson's Honey Farm usually produces 85 pounds of honey per year. About how many pounds of honey will 1000 hives

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85000 pounds of honey

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2 years ago

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Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

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$P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} 
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Probability of combined events is
$P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}$

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2 years ago

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