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Studentka2010 [4]
3 years ago
9

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
X - y = 9
x + 2y = 27
You can subtract the top equation from the bottom
3y = 18
y = 6
x = 15
The two numbers are 15 and 6
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Select all the statements that are true.
alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

8x(5x-6)

Applying distributive property

8x(5x)-8x(6)\\40x^2-48x

Compare with the given value

40x^2-48x=40x^2-48x

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

-4x(2x^{2}+1)

Applying distributive property

-4x(2x^{2})-4x(1)\\-8x^3-4x

Compare with the given value

-8x^3-4x \neq -8x^3-5x

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

(x-3)(5x-6)

Applying distributive property

x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18

Compare with the given value

5x^2-21x+18=5x^2-21x+18

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

(2x+3)(x^2+3x-5)

Applying distributive property

(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15

Compare with the given value

2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25

therefore

The statement is not true

8 0
3 years ago
Based on a research​ survey, when 1020 adults were asked about hand​ hygiene, 44% said that they wash their hands after using pu
aleksley [76]

Considering that the subjects are chosen without replacement, they are not independent, and the probability cannot be found using the binomial distribution.

The binomial distribution and the hypergeometric distribution are quite similar, as:

  • They find the probability of exactly x successes on n repeated trials.
  • For each trial, there are only two possible outcomes.

  • The difference is that the binomial distribution is for independent trials, that is, in each trial, the probability of success is the same, while the hypergeometric distribution is for dependent trials.
  • If the sample is without replacement, the trials are not independent, thus the hypergeometric distribution is used, not the binomial.

A similar problem is given at brainly.com/question/21772486

7 0
2 years ago
A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
Vlad1618 [11]

Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

5 0
3 years ago
HW HELP ASAP PLZZZZZ
emmasim [6.3K]

Answer:

3

Step-by-step explanation:

I think its 3 because when we add 2 to x the graphic must be continue two step to right

6 0
2 years ago
Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread, 1/6 of the blueberries to make pancakes, and 5
yKpoI14uk [10]

Answer:

Wayne bought 72 blueberries.

Step-by-step explanation:

To combine the fractions, convert all of the fractions to a denominator of 24.

3/8 * 3/3 = 9/24

1/6 * 4/4 = 4/24

5/12 * 2/2 = 10/24

Now add together the fractions

9/24 + 4/24 + 10/24 = 23/24

He used 23/24 of his blueberries, or 69 of them.

To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.

69 / 23 = 3

3 * 24 = 72

Wayne bought 72 blueberries.

6 0
3 years ago
Read 2 more answers
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