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2 years ago

4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays

Mathematics

1 answer:

Oxana [17]2 years ago

8 0

Two possible solutions are: (4.5, 8.5) and (8, 6.3)

<h3>How to graph the inequality?</h3>

Let x represents hours dog walking and y represents hours washing cars.

So, we have:

Earnings = Rate of dog walk * x + Rate of car wash * y

This gives

Earnings = 7x + 11y

He wants to earn at least $125.

This means that:

7x + 11y ≥ 125

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)

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Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth

bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

$|AB| = \sqrt{ ({10 + 2})^{2} + ({ - 1 - 5})^{2} } \\ = \sqrt{ {12}^{2} + ({ - 6})^{2} } \\ = \sqrt{144 + 36} \: \: \: \: \: \: \: \\ = \sqrt{180} \\ = 6 \sqrt{5} \: \: \\ =13.416407$

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0

2 years ago

The equation x+53=15 can be solved by performing two operations on both sides.

Wewaii [24]

Hey!

You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em> x = -38

Hope this helps!

- Lindsey Frazier ♥

3 0

2 years ago