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2 years ago

Solve the system if equations: 3x+y+3z=4 4x-y+2x=5 X-2y-z=0

Mathematics

1 answer:

Ugo [173]2 years ago

4 0

Answer:

The answer is in step-by-step explanation

Step-by-step explanation:

3 x + y + 3 z = 4

4 x - y + 2 z = 5

x - 2 y - z = 0

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What is the value of x?

vitfil [10]

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

8 0

2 years ago

Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.

Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

$\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105$

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0

2 years ago

Which linear function has the greatest rate of change?

matrenka [14]

The answer is C 252 rate of change

8 0

2 years ago

Read 2 more answers

Jose spent 20% of his allowance on baseball cards. His allowance is $10. How much did he spend on baseball cards?

JulijaS [17]

Answer:

Jose spent $2 on baseball cards.

4 0

3 years ago

A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri

Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

$LA=4[\frac{1}{2}bl]$

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height

To find out the slant height we need to apply the Pythagorean Theorem

$l^2=(b/2)^2+h^2$

we have

$b=35.42\ m$

$h=21.64\ m$

substitute

$l^2=(35.42/2)^2+21.64^2$

$l^2=781.9337$

$l=27.96\ m$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bl]$

we have

$l=27.96\ m$

$b=35.42\ m$

substitute

$LA=4[\frac{1}{2}(35.42)(27.96)]$

$LA=1,980.6864\ m^2$

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

using proportion

$\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L$

Round up

793 liters of washing fluid is needed

6 0

3 years ago