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tatiyna
3 years ago
9

Jose left the white house and drove toward the recycling plant at an average of 40km/h. Rob left some time later driving in the

same direction at an average speed of 48km/h. After driving for five hours rob caught up with jose. How long did jose drive before rob caught up?
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0
I would think it would be 200km before rob caught up with him?
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Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she ca
ohaa [14]

Answer:

We know that:

She makes $19 per hour of lifeguarding.

She makes $8 per hour walking dogs.

She can work at most 7 hours per week.

She must earn a minimum of $80 per week.

If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:

x + y ≥ 7 hours.

(this says that she can work at most 7 hours per week)

x*$19 + y*$8 ≥ $80

(this says that she can earn a minimum of $80)

Then the system of inequalities is:

x + y ≥ 7 hours.

x*$19 + y*$8 ≥ $80

To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.

Here we also should add the inequalities:

x ≥ 0

y ≥ 0

So we only look at the first quadrant.

The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)

 

One possible solution can be:

x = 4 and y = 1

or

x = 4 and y = 2

and there are a lot of other possible solutions.

5 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
Naya [18.7K]

Step-by-step explanation:

if x=2 and y=2 and radius=2

(x_2)2. +(y_2)2 =2x2

x2 -4x+4 +y2 -4y+4=4

x2 +y2 -4x- 4y +8-4=0

x2 +y2 -4x -4y +4=0

3 0
3 years ago
ABC has vertices A(–3, –4), B(1, 5), and C(4,1). ABC is translated so that B’ is located at point (–3, 2). State the coordinates
koban [17]
If B went from (1, 5) to (-3, 2), that means it was shifted down 4 units and left 3 units. So for each of the other points, we subtract 4 from the x value, and subtract 3 from the y value. Point A is (-3, -4), moving this by subtracting 4 from x and 3 from y, we get A'(-7, -7). Point C was (4, 1), subtract 4 and 3, leaving C'(0, -2).
So A'(-3, -4), B'(-3, 2) and C'(0, -2)
5 0
3 years ago
Read 2 more answers
I needhelp please :(
Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

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4 0
2 years ago
christy uses glass beads to make braclets and necklances it takes her 30 minutes to make a bracelet and 45 minites to make a nec
shtirl [24]

Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his​ profit?</h3>

The given parameters can be represented in the following tabular form:

                       Bracelet (x)    Necklace (y)    Total              

Labor (hour)        0.5                       0.75         40

Profit                    10                         18

From the above table, we have the following:

Objective function:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

Because she wants to make at least 30 bracelets, we have:

x >= 30

So, we have:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

x >= 30

Express x >= 30 as equation

x = 30

Substitute x = 30 in 0.5x + 0.75y <= 40

0.5 * 30 + 0.75y <= 40

This gives

15 + 0.75y <= 40

Subtract 15 from both sides

0.75y <= 30

Divide by 0.75

y <= 40

Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

Read more about maximizing profits at:

brainly.com/question/13799721

#SPJ1

4 0
1 year ago
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