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OLga [1]
3 years ago
11

The donations by a restaurant to a certain charity, y, will be two-fifths of its profits, x, plus $50. How can you determine the

equation in slope-intercept form that shows the relationship between x and y without graphing the line?
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
7 0
<span>The equation would be y=(2/5)x+50.

Explanation:
Slope-intercept form is given by y=mx+b, where m is the slope and b is the y-intercept. The original $50 donated has nothing to do with the profits; if the profits are $0, they will still donate $50. This is the y-intercept, b.

Since they are donating 2/5 of their profits x, this means that the rate of change, or slope, of the line will be 2/5 of a dollar donated per dollar profit; this is m. Plugging these in gives us the equation above.</span>
ICE Princess25 [194]3 years ago
5 0

Answer:

Slope intercept form:

y=\dfrac{2}{5}x+50

Step-by-step explanation:

The donations by a restaurant to a certain charity, y

Profit of the restaurant, $x

The donation is two-fifth of the profit and $50

According to the question,

y=\dfrac{2}{5}x+50

Slope intercept form:

y = mx + b

where, m is slope and b is y-intercept.

Now, we will compare the equation.

y=\dfrac{2}{5}x+50\Rightarrow y=mx+b

m\rightarrow \dfrac{2}{5}

b\rightarrow 50

Hence, The slope intercept form of the given statement is y=\dfrac{2}{5}x+50

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Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

4 0
3 years ago
What number goes on top and how do you solve it.
vekshin1
So basically, each number is equal to the two numbers below it added together.

See, 7 = 3+4, 8 = 5 +3, etc.

So, the top would be 16 + 17.

16 + 17 = 33

So 33 goes on top.
4 0
3 years ago
kevin used a 50 dollar bill to pay 4 shirts the cashier give kevin 6.44 of change how much did kevin spend on the shirts
Papessa [141]

Answer:

$43.56

Step-by-step explanation:

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3 years ago
Question 1 (Multiple Choice Worth 4 points)
VLD [36.1K]

Answer:

In the first expression:

(5^3)^-4 = 5^-12

Step-by-step explanation:

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3 years ago
If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a
lana66690 [7]
<span>F(3)−F(0)=<span>∫30</span>f(x)dx</span><span>
so it looks like 2.3+1=3.3</span>
4 0
3 years ago
Read 2 more answers
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