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adoni [48]
3 years ago
14

the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

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Helpppppppp neededddd
ozzi

Answer:

Adam

Step-by-step explanation:

Speed is calculated with the formula distance over time.

Convert all measurements to the same unit: ft/s.

<u>Speed of Frank:</u>

d/t

=11/s

<u>Speed of Emily:</u>

d/t

=86/10

=8.6/s

<u>Speed of Adam: </u>

There are 5280 feet in a mile.

d/t

=5280/388

=13.6/s

<u>Speed of Noah:</u>

There are 60 seconds in a minute.

d/t

=600/60

=10/s

Adam runs the fastest because 13.6 > 11 > 10 > 8.6.

8 0
3 years ago
Que significa 4,800/6
Anettt [7]
4800/6 = 800
Hope this helps. 

8 0
3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Marta_Voda [28]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

7 0
3 years ago
Read 2 more answers
In a group of 48 children there are three times as many boys as girls. how many girls are there
Leno4ka [110]
If x=girls,
then we have 3x boys.

We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.

So there are 12 girls and 36 boys.
5 0
3 years ago
Read 2 more answers
78 * 40
Debora [2.8K]

Answer:

3120

Step-by-step explanation:

step 1:multiply 8 with 0 and 7 with 0

step 2:add a 0 in the end and multiply 8 with 4 . you get 32. take 2 and carry over 3. multiply 7 with 4. you get 28 . add 3 you get 31. now add. you get 3120

3 0
3 years ago
Read 2 more answers
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