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3 years ago

Solve using the substitution method: 6x + y =15 4x + 3y = 31

Mathematics

1 answer:

Ksivusya [100]3 years ago

3 0

Answer:

the answers to this are x= 1 and y= 9

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A bedroom wall is 32 m wide and 54 m long. What is the total area of the wall? A can of paint will cover 12 sq. meter. How many

Alenkasestr [34]

Answer:

288

Step-by-step explanation:

Area of the wall = width x length = 32 x 54 = 1728 sq m

The number of cans for 1 coat = 1728/12 = 144 cans

The number of cans for 2 coats = 144 x 2 = 288 cans

7 0

3 years ago

In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large

Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

The question is incomplete:

The probability distribution is:

x P(x)

0 0.30

1 0.40

2 0.20

3 0.06

4 0.04

The mean can be calculated as:

$M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14$

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

$s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04$

3 0

3 years ago

Find the zeros of the following quadratic polynomial t square - 15

Dvinal [7]

Answer: First, write the equation,

t² - 15 = 0

Now, we shift the (-15) to RHS,

t² = 15

So, t = - √15 = -3.87 or + √15 = + 3.87

4 0

3 years ago

Find a:27=6:11, find a

trasher [3.6K]

Answer:

a = 14.73

Step-by-step explanation:

This ratio can also be written like this:

$\frac{a}{27} = \frac{6}{11}$

Then you can cross multiply to get

11a = 6 x 27

11a = 162

Divide both sides by 11

11a / 11 = 162 / 11

a = 14.73

3 0

3 years ago

Alex spent $23 on a bus ride. The bus charges $0.35 a mile plus $2 a trip. How

Svetlanka [38]

67.7 cus 23 divided by .35 is 65.7+2 =67.7

7 0

3 years ago