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KIM [24]
3 years ago
10

Find three consecutive even integers such that the product of the first and the third is 96

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0

2Answer:

Step-by-step explanation:

andriy [413]3 years ago
5 0

Answer:

Step-by-step explanation:

x,x+2,x+4 are the consecutive even integers

x(x+4)=96

X^2 +4x =96

x^2 +4x =96

x^2 +12x-8x -96=0

x(x+12)-8(x+12)=0

(x+12)(x-8)=0

Therefore x=8 or-12

x=8

Consecutive even integers are 8,10,12

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Pls help me this is due tomorrow
Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

7 0
3 years ago
An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline
Allushta [10]

Answer:

The mean is of -0.4 hours.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Mean of the sample of 64 Duracell:

By the Central Limit Theorem, 4.1 hours.

Mean of the sample of 64 Eveready:

By the Central Limit Theorem, 4.5 hours.

Mean of the difference?

Subtraction of normal variables, so we subtract the means.

4.1 - 4.5 = -0.4

The mean is of -0.4 hours.

8 0
3 years ago
hena made a table to show the steps and algebraic properties used to write an equivalent expression for 3 x minus 5 + 7 x + 6. S
Tcecarenko [31]

Answer:

2.  Shena should have written the associative property for step 2.

Step-by-step explanation:

Trust me I just took this quiz on 202 edge and made a 100%

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

3 0
3 years ago
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Zigmanuir [339]

Answer:

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Step-by-step explanation:

8 0
3 years ago
How many times larger is 0.00000600 than 0.00000008
Klio2033 [76]

Answer:

100

Step-by-step explanation:

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