3x-3y-5z=-24 <br>6x+y-z=-27<br>-3x+2y+6z=21<br>

Slaters room is 5 meters long and 3 1/4 meters wide. What is the area of slaters room?

Flura [38]

Area = l × b
Length = 5 m
Breadth = 3¼ m = 13/4 m

Area =
= 5 × 13/4
= 65/4
= 16.25 m²

Therefore, area of slater's room is 16.25 m²

3 0

3 years ago

The ABC Automobile Company assembles cars, but buys it’s parts from another company. The company buys tires from a wholesaler th

Vinvika [58]

Answer: i'm pretty sure the answer is C

Step-by-step explanation:

6 0

3 years ago

Simplify each expression using the proper order of operations. please help thank you so much :)

Tasya [4]

Answer:

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

$12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}$

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12$

$7^2 - 5* 8+1 = 10$

$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18$

Step-by-step explanation:

<em>Required: Solve the expressions using proper operation order</em>

To solve this, we'll make use of BODMAS

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$\frac{41 - 3^2}{\sqrt{36} * 3 - 26}$

Evaluate all squares and square roots

$\frac{41 - 3*3}{\sqrt{36} * 3 - 26}$

$\frac{41 - 3*3}{6 * 3 - 26}$

Evaluate the numerator (Start by multiplying 3 * 3)

$\frac{41 - 9}{6 * 3 - 26}$

Subtract 9 from 41

$\frac{32}{6 * 3 - 26}$

Evaluate the denominator (Start by multiplying 6 * 3)

$\frac{32}{18 - 26}$

$\frac{32}{-8}$

Divide 32 by -8

-4

Hence;

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

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$12 + 3\sqrt{8} * (9 - 2)$

Start by evaluating the bracket

$12 + 3\sqrt{8} * 7$

Then evaluate the multiplication

$12 + 21\sqrt{8}$

Simplify the square root

$12 + 21\sqrt{4 * 2}$

Split the square root

$12 + 21\sqrt{4} * \sqrt{2}$

Take Square root of 4

$12 + 21 * 2} * \sqrt{2}$

$12 + 42 \sqrt{2}$

Hence;

$12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}$

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$\frac{28 - (7^2 + 3)}{-13 + 3 * 5}$

Evaluate 7²

$\frac{28 - (49 + 3)}{-13 + 3 * 5}$

Evaluate all expression in the bracket

$\frac{28 - (52)}{-13 + 3 * 5}$

$\frac{28 - 52}{-13 + 3 * 5}$

Evaluate 3 * 5

$\frac{28 - 52}{-13 + 1 5}$

$\frac{-2 4}{2}$

$-12$

Hence;

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12$

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

$7^2 - 5* 8+1$

Evaluate 7²

$49 - 5* 8+1$

Evaluate 5 * 8

$49 - 40 + 1$

$10$

$7^2 - 5* 8+1 = 10$

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$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1$

Evaluate all square root and cube root

$(2 * 4) - (3 * 9) + 1$

Solve the expressions in bracket

$8 - 27 + 1$

$-18$

Hence;

$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18$

7 0

3 years ago

2. The ratio of

denpristay [2]

Answer:

Step-by-step explanation:

Given the ratio of the profit, cost of materials and labour in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the cost of materials is Le 840 more than that of labour) .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

<em>Hence the total cost of producing the article is 3500</em>

4 0

3 years ago

How do I put this in slope intercept form from the line in the graph? #4

vichka [17]

You're given the y-intercept, which is (0,5), so to complete the slope intercept form, you now need to find the slope. slope is the change in y over the change in x, so take points (4,-1) and (2,2) for instance and apply the formula; -1-2= -3 and 4-2=2, so the change in y is -3 and the change in x is 2. to find the slope, you divide change in y by change in x, which is -3/2. from here, you can gather that the slope intercept form is y= -3/2x + 5

5 0

3 years ago

3x-3y-5z=-24 6x+y-z=-27-3x+2y+6z=21​

3x-3y-5z=-24 6x+y-z=-27-3x+2y+6z=21