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3 years ago

A yard is 3 times as long as it is wide. 176 feet of fencing is needed to enclose the yard. Find the dimensions of the yard

2 answers:

5 0

The perimeter of a rectangle is twice the sum of its side lengths.

P=2(L+W), we are told that L=3W and P=176 so

2(3W+W)=176

2(4W)=176

8W=176

W=22 ft, since L=3W

L=66 ft

So the yard is 22 feet wide and 66 feet long.

MaRussiya [10]3 years ago

5 0

P = 2(L + W)
L = 3W
P = 176

176 = 2(3W + W)
176 = 2(4W)
176 = 8W
176/8 = W
22 = W <=== width

L = 3W
L = 3(22)
L = 66 <===length

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Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

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Answer:

The probability that Joe's stock will go up and he will win in the lottery is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

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Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

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So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

$P(A\cap B)=P(A)\times P(B)$

Compute the value of P (X ∩ Y) as follows:

$P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005$

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.

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3 years ago

Read 2 more answers

12/-4 = pls help i don’t understand

Sveta_85 [38]

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$\text {Since there is a negative in the problem this tells us that the answer we get will be a negative.}$

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3 years ago

Wich is bigger one fouth of 16 or one third of 24

adoni [48]

1/4*16=16/4=4.

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1/3 of 24 is bigger.

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3 years ago

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A collection of coins consists of nickels, dimes, and quarters. There are

iragen [17]

Answer:

9 nickels
12 dimes
6 quarters

Step-by-step explanation:

We are given relations between the number of each kind of coin and the number of quarters. So, it is convenient to write an equation in terms of the number of quarters.

Let q represent the number of quarters. The number of nickels is 3 more than that, so is (q+3). The number of dimes is 6 more than the number of quarters, so is (q+6). The total value of the coins, in cents, is ...

5(q +3) +10(q +6) +25q = 315

40q +75 = 315 . . . . . . . . . . . . . . collect terms

40q = 240 . . . . . . . . . subtract 75

q = 6 . . . . . . . . . divide by 40

q +3 = 9 . . . . number of nickels

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There are 9 nickels, 12 dimes, and 6 quarters in the collection.

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2 years ago

Theodore needs to mix a 10% fungicide solution with a 50% fungicide solution to create 100 milliliters of a 26% solution. How ma

solmaris [256]

Answer:

Therefore 40 milliliter of 50% fungicide solution is required

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Step-by-step explanation:

i) Let the 10% fungicide solution have x milliliter and the 50% fungicide solution have y milliliter.

ii) Therefore 10x + 50y = 26(x + y)

x + y = 100

iii) form the first equation in ii) we get

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iv) substituting the value obtained in iii) in the second equation in ii) we get

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Therefore y = 100 ÷ 2.5 = 40 milliliter

Therfore x = 100 - 40 = 60 milliliter

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