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3 years ago

Rearrange the equation so the r is the independent variable

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

q = 3+1/2 r

Step-by-step explanation:

10q -5r = 30

Add 5r to each side

10q -5r+5r = 30+5r

10q = 30 +5r

Divide by 10

10q/10 = 30/10 +5r/10

q = 3+1/2 r

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Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

David y Almudena tienen entre los dos 225 euros. Calcula cuánto dinero tiene cada uno si Almudena posee 75 euros más que David.

Misha Larkins [42]

David and Almudena have between the two 225 euros. Calculate how much money each has if Almudena has 75 euros more than David.

For this case we propose a system of equations:

x: Let the variable that represents Almudena's amount of money

y: Let the variable that represents David's amount of money

According to the statement we have:

$x + y = 225\\y + 75 = x$

Substituting the second equation into the first:

$y + 75 + y = 225\\2y + 75 = 225\\2y = 225-75\\2y = 150\\y = \frac {150} {2}\\y = 75$

We find the value of the variable x:

$x = 75 + 75 = 150$

Almudena has 150 euros

David has 75 euros

Answer:

Almudena has 150 euros

David has 75 euros

3 0

4 years ago

What is -5 plus -10 minus 41562 times 6

Citrus2011 [14]

Answer:

-249387

Step-by-step explanation:

1) Write out the problem

-5+-10-41562*6

2) Following order of operations, multiply -41562 by 6:

-5+-10-249372

3) Solve -5+-10:

-15-249372

4) Subtract:

-249387

7 0

3 years ago

Read 2 more answers

Which of the following would be a line of reflection that would map ABCD onto itself?

Lady bird [3.3K]

When a shape is rotated, it must be rotated over a line.

The square must be reflected over line $x +y = 4$ , for it to be mapped onto itself.

The points are given as:

$A = (3,1)$

$B = (3,3)$

$C = (1,3)$

$D = (1,1)$

To map the square onto itself, it must be reflected over its diagonal

The diagonals of the square are: AC and BD

Using AC, we have:

$A = (3,1)$ ---- $(x_1,y_1)$

$C = (1,3)$ ---- $(x_2,y_2)$

Start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

So, we have:

$m = \frac{3-1}{1-3}$

$m = \frac{2}{-2}$

$m = -1$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = -1(x - 3) + 1$

$y = -x + 3 + 1$

$y = -x + 4$

Rewrite as:

$x +y = 4$

So, the square must be reflected over line $x +y = 4$ , for it to be mapped onto itself.

See attachment for square ABCD and its line of reflection.