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2 years ago

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[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone,

it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?

1 answer:

Keith_Richards [23]2 years ago

5 0

Answer:

it would take him 10 hours

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Ben bought 8 fairy sodas and 5 fairy hotdogs and spent $30.75 fairy dollars. Holly bought 7 fairy sodas and 6 fairy hotdogs and

wlad13 [49]

Set up the system of equations:

$8x + 5y = 30.75$
$7x + 6y = 33$

We'll use elimination to solve this system of equations.

Take the coefficients for y in both problems. Multiply one of them by -1:

$5 \times -1 = -5$

Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:

$(7x + 6y = 33) \times -5 = -35x - 30y = -165$

Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:

$(8x + 5y = 30.75) \times 6 = 48x + 30y = 184.50$

Your system should now look like this:

$48x + 30y = 184.50$
$-35x - 30y = -165$

Combine these two equations to cancel out y:

$13x = 19.50$

Divide both sides by 5 to get x by itself:

$x = 1.5$

A fairy soda costs $1.50.

Because we know the value of one of the variables, we can plug it into one of the equations:

$8(1.5) + 5y = 30.75$
$12 + 5y = 30.75$

Subtract 12 from both sides:

$5y = 18.75$

Divide both sides by 5 to get y by itself:

$y = 3.75$

A fairy hotdog costs $3.75.

6 0

2 years ago

Read 2 more answers

Write the equation of a line that is perpendicular to the given line that passes through the given point.

ipn [44]

<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: $\frac{7}{3}$

new slope: $-\frac{3}{7}$

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

$9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b$

The y-intercept is $-\frac{51}{7}$ .

Now, we can write the formula for the new line.

Slope-intercept form: $y = -\frac{3}{7}x - \frac{51}{7}$

Point-slope form: $y - 9 = -\frac{3}{7}(x + 4)$

3 0

2 years ago

3/4 x 21 show your work

Mashcka [7]

3/4 x 21 would be 15.75.
All you had to do was multiply 3/4 and 21.
Hope this helps.

4 0

3 years ago

Part ion even know of the hardest test

ladessa [460]

Given:

The equation of a line is:

$y=-\dfrac{5}{7}x+2$

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is the y-intercept.

We have,

$y=-\dfrac{5}{7}x+2$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{5}{7}$

We know that the product of slopes of two perpendicular lines is always -1.

$m_1\times m_2=-1$

$-\dfrac{5}{7}\times m_2=-1$

$m_2=\dfrac{7}{5}$

Slope of the required line is $\dfrac{7}{5}$ and it passes through the point (-5,-3). So, the equation of the line is:

$y-y_1=m_2(x-x_1)$

$y-(-3)=\dfrac{7}{5}(x-(-5))$

$y+3=\dfrac{7}{5}(x+5)$

Using distributive property, we get

$y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)$

$y+3=\dfrac{7}{5}x+7$

$y=\dfrac{7}{5}x+7-3$

$y=\dfrac{7}{5}x+4$

Therefore, the equation of the line is $y=\dfrac{7}{5}x+4$ . Hence, option A is correct.

4 0

2 years ago

you depsoit the same amount of money in a bank account each month. you deposit a total of $780 in 1 year. How many months does i

Brums [2.3K]

Answer:

35 months

Step-by-step explanation:

devide 780 by 12 because of the 12 months in a year which is 65 then you divide 2275 by 65 which will give you 35 which means that 35 is the number of months.

3 0

2 years ago