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3 years ago

Solve for x: 5x + 4z = 10z - 2x

Mathematics

2 answers:

Digiron [165]3 years ago

5 0

Answer:

x= 6/7z

Step-by-step explanation:

5x + 4z = 10z - 2x

5x + 2x = 10z - 4z

7x = 6z

x = 6/7z

Tanzania [10]3 years ago

3 0

Answer: 5x + 4z = 10z - 2x

move variable to the left side and change its sign

5x + 2x + 4z +10

Move variable to the right side and change its sign. 5x + 2x = 10z - 4z Collect the like terms 5x + 2x =10z - 4z ↓ 7x = 10z - 4z Collect the like terms ↓ 7x = 6z Divide both sides of the equation by 7 x = 6/7 z decimal 0.857143

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A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 mo

Alla [95]

Answer:14

Step-by-step explanation:

13+5-4=14 No 1 more person got on.

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3 years ago

Write a linear equation that contains the ordered pair shown in the table below:

Amiraneli [1.4K]

Answer:

$y=2x-4$

Step-by-step explanation:

Let the equation of line is $y=mx+b$ , where $m$ is the slope of the line.

It passes through $(-5,-14),(-2,-8)\ and\ (1,-2)$ .

(Slope of the line joining $(x_1,y_1)\ and\ (x_2,y_2)=\frac{y_2-y_1}{x_2-x_1}$ )

Hence slope of the given line

$m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2$

Equation of line is: $y=2x+b$

The line passes through $(1,-2)$

$-2=2\times 1+b\\b=-2-2\\b=-4$

Check if $(-5,-14)$ is on the line $y=2x-4$

$L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.$

Hence line passes through $(5,-14)$ .

Check if $(-2,-8)$ is on the line $y=2x-4$

$L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.$

Hence line passes through $(-2,-8)$ .

4 0

3 years ago

A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 or

maw [93]

Answer:

Step-by-step explanation:

Given parameters:

Number of oranges processed by grower = 2330 oranges

Number of oranges per crate = 96

Unknown:

Number unpacked oranges

Solution:

To solve this problem, divide the total number of oranges by the number of oranges per crate;

Number of unpacked oranges = $\frac{2330}{96}$

Number of unpacked oranges = 24 $\frac{13}{48}$

The remaining unpacked is 13.

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3 years ago

The rectangle shown has a perimeter of 146 cm and the given area. Its length is 7 more than five times its width. Write and solv

dangina [55]

Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.

The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute: 2W + 10W + 14 = 146

Combine like terms: 12W + 14 = 146

Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides: 12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.

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3 years ago

Demonstrate that the digits of a perfect square cannot add to 2, 3, 5, 6, or 8

Lelu [443]

It depends on what did you mean by saying perfect square. If I've understood it correctly, I can help you with a part of your problem. The squares of mod 9 are 1,4,7 which are came from 1,2,4. Addition of the given numbers are 2,3,5,6, 8, which are exactly the part of your problem. This number, which is not shown as squares Mod 9, and thus doesn't appear as a sum of digits of a perfect square. I hope you will find it helpful.

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3 years ago