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2 years ago

What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.

Mathematics

1 answer:

saw5 [17]2 years ago

3 0

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

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Henry ran five races, each of which was a different positive integer number of

dolphi86 [110]

Answer:

10 miles.

Step-by-step explanation:

Let x be the number of miles on Henry's longest race.

We have been given that Henry ran five races, each of which was a different positive integer number of miles.

We can set an equation for the average of races as:

$\frac{\text{The sum distances of 5 races}}{5}=4$

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.

Now let us substitute the distances of 5 races as:

$\frac{1+2+3+4+x}{5}=4$

$\frac{10+x}{5}=4$

Let us multiply both sides of our equation by 5.

$\frac{10+x}{5}*5=4*5$

$10+x=20$

Let us subtract 10 from both sides of our equation.

$10-10+x=20-10$

$x=10$

Therefore, the maximum possible distance of Henry's longest race is 10 miles.

7 0

2 years ago

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate mrs s gets a loan payoff of 60 months how much interest would s

Artist 52 [7]

Answer:

$\$4701.80$

Step-by-step explanation:

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,

We know that,

$\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]$

Where,

PV = Present value of annuity = 25000,

r = rate of interest of each period = $\dfrac{7}{12}$ % monthly

n = number of periods = 60 months,

Putting the values,

$\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]$

$\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}$

$\Rightarrow P=\$495.03$

Hence total amount paid is,

$=495.03\times 60=\$29,701.80$

Therefore interest amount is,

$=29,701.80-25,000=\$4701.80$

4 0

2 years ago

Write down the exact value of 3-2

Anvisha [2.4K]

1 it’s easy cocoa donut oml OOOF duck

5 0

2 years ago

What is the value of x in the equation 3x – 4y = 65, when y = 4? x = 23 x = 27 x=13 1/4 x=21 2/3

Vikki [24]

x=27

hope thats helpful

8 0

3 years ago

Solve x-3/6 divided by 3-x/2 Please show work

Nataly_w [17]

$\cfrac{x-3}{6}: \cfrac{3-x}{2} = -\cfrac{3-x}{6}*\cfrac{2}{3-x} =- \cfrac{2}{6}=- \cfrac{1}{3}$

4 0

2 years ago