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Dmitriy789 [7]
3 years ago
9

FOR BRAINLIEST ANSWER ONLY: 2. 3. 4. 6.

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

2. x = 2 & y = 4

3. x = 4 & y = 2

Step-by-step explanation:

2. x + y = 6

  2x + y = 8  (multiply the first equation by -1,  so you can eliminate the ys)

- x - y = -6

2x + y = 8  (now add the variables together)

x = 2 (plug in x in one of the equations to find out y)

x + y = 6

(2) + y = 6

-2           -2

y = 4

3. 3x + y = 14

          x = 2y (plug in x into the first equation and solve it for y)

3(2y) + y = 14

6y + y = 14

7y = 14

y =  2  (plug in y in one of the equations to find out x)

x = 2y

x = 2(2)

x = 4

4.  One number (x) is 2 more (+2) than twice (times 2) as large as another. their sum is 17. Find the numbers.

2x + 2 = 17 (solve for x)

     -2     -2

2x = 15

x = 7.5

6. 7 (4x + 1) - (x + 6) (start by distributing 7 into the first parenthesis)

  (28x + 7) - (x + 6) (do the same to the other parenthesis by distributing -1)

  (28x + 7)  (-x - 6) (and now just combine like terms)

   28x + 7 - x - 6

   28x - x + 7 - 6

   27x + 1

i hope this helped! if you have any question, pls let me know!

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Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How
Nikolay [14]

12/24

Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.

Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24

Step Three: Add our new fractions: 3/24+8/24= 12/24

Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten

I hope I've help!

5 0
3 years ago
Identify the domain of the function shown in the graph.
Svetach [21]

Answer:

A. x \geq 0

Step-by-step explanation:

The domain of a function is the set of x-values.

6 0
1 year ago
If x = 9 and y = -3, evaluate the following expression: = 6x - 8y ​
masha68 [24]

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

8 0
2 years ago
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marin [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
2. The Hereford Cattle Society says that the mean weight of a one-year-old Hereford bull is 1135 pounds, with a standard deviati
Andrews [41]

Answer:

16.35% probability their combined weight exceeds 46000 pounds.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 1135, \sigma = 97, n = 40, s = \frac{97}{\sqrt{40}} = 15.34

Find the probability their combined weight exceeds 46000 pounds.

This is 1 subtracted by the pvalue of Z when X = \frac{46400}{40} = 1150. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1150 - 1135}{15.34}

Z = 0.98

Z = 0.98 has a pvalue of 0.8365

1 - 0.8365 = 0.1635

16.35% probability their combined weight exceeds 46000 pounds.

5 0
3 years ago
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