HELP ASAP 10 POINTS

The total cost of renting a HEDGE TRIMMER is given by the graph below.

The total cost of renting a LAWN MOWER is given by the equation y = 25x + 10.

Which item has a higher rate per day to rent? The hedge trimmer or the lawn mower? Explain how you can tell.

Answer:

B:8x-9y=23

Step-by-step explanation:

First find the slope:

m= y2-y1/x2-x1

y2 is 3

y1 is -1

x2 is 1/2

x1 is -4

3-(-1) is 4

1/2-(-4) is 9/2

Now the equation looks likes this:

4 / 9/2

Which can be rewritten as

4*2/9

Thus the slope is 8/9

So the equation is

y=8/9x+b

Now you can substitute to find the y-intercept:

(you can do either (-4,1) or (1/2,3)

I am going to do (1/2,3) since it is easier

3=8/9(1/2)+b

Simplify:

3=4/9+b

Subtract 4/9 on both sides:

b=23/9

Thus the equation is

y=8/9x+23/9

Multiply 9 on both sides:

9y=8x+23

Subtract 8x on both sides:

8x-9y=23

Hope this helps!

Answer:

White Marbles: 56

Step-by-step explanation:

Let number of white marbles be x

7/10=x/136-x

10x=7(136-x)

10x=952-7x

17x=952

x=56

Answer:

56

Step-by-step explanation:

7/17 * 136 = 56.

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

Part A

Extend the table so that we have row and column totals as shown in the diagram below.

There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of

(986/1125)*(986/1125) = 0.7682 which is approximate.

Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.

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Part B

This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 =  0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.

Note the second fraction has each term drop by 1.

The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately

Answer:

a.) 130°

b.) 70°

Step-by-step explanation:

For a given triangle

The sum of all angles on a straight line is equal to 180°

Now,

50° + a = 180°

Subtract 50° from each side we get,

50° - 50° + a = 180° - 50°

a = 130°

Thus, The size of the angle marked a is 130°

The sum of all angles in a triangle is equal to 180°

Now,

b + 50° + 60° = 180°

b + 110° = 180°

Subtract 110° from both side we get,

b + 110° - 110° = 180° - 110°

b = 70°

Thus, The size of the angle marked b is 70°

-TheUnknownScientist 72

Answer:

Taxi Cost = $47.78

Step-by-step explanation:

Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %)        5% = .05 as a

                                                                                                          decimal

Taxi Cost = $45.50 + (45.50 × .05)

 Taxi Cost = $45.50 + $2.275)

  Taxi Cost = $47.775

   Taxi Cost = $47.78

Answer: The answer is 40.

Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.

Answer:

y=3

Step-by-step explanation:

Horizontal Lines

Answer:

Step-by-step explanation:

1 3/5 + 4 1/5

= 8/5 + 21/5

= 29/5

= 4 4/5.

4 1/5 - 1 3/5

= 21/5 - 8/5

= 13/5

= 2 3/5.

Answer:

y=-12

hope this helps!

Answer:

A. C = (d-ab)/a

Step-by-step explanation:

a(c + b) = d

a(c + b)/a = d/a

c + b = (d/a)

c = (d/a) - b

a(c + b) = d

ac + ab = d

ac = d - ab

ac/a = d/a - ab/a

c = (d/a) - b

Answer:

1270 a month on expenses

Answer:

1270 a month

Step-by-step explanation:

There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270

Answer:

A and C are correct

Answer:

1/12

Step-by-step explanation:

find the least common multiple of the denominators.

which is 12

so 1/4=3/12

2/3=8/12

1/2=6/12

so 3/12- 8/12 - 6/12 = -11/12

so there is 1/12th pieces left after they all ate their portions of the pie

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

Answer:

18

Set up a ratio since they are similar (congruent in the ratio of side length):

[tex]\frac{52}{24} =\frac{39}{x}[/tex]

Cross multiply:

52x = 936

x = 18

Answer:

y^2-7y+12

Step-by-step explanation:

muliply each unit of the first parentheses by the second

Step-by-step explanation:

(-3,-2)

that is the translation matrix for this question

Answer:

26 ft

Step-by-step explanation:

Answer:

The  answer would be -16

Step-by-step explanation:

Add

5

Answer:

the product of some number (call it x) and 7 is:

7⋅x or just 7x

now take 15 less than that:

7x−15 or y=7x−15

Answer:

[tex]7-2i[/tex]

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So [tex]\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i[/tex]

Answer:

-2+5i

Step-by-step explanation:

Answer:

1 pound of turkey-3.25 and 1 pound of ham-2.75

Step-by-step explanation:

t+h=30.50

h(.50)=t

Answer:

[tex]y = \frac{-2}{3}x + 2[/tex]

Step-by-step explanation:

The first step is convert the given equation in a dependent and independent equation.

[tex]2x + 3y = 12[/tex]

[tex]3y = 12 - 2x[/tex]

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.

Since both lines are parallel the slope of both equations are the same

[tex]y = \frac{-2}{3}x + b[/tex]

Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.

[tex]4 = (\frac{2}{3})3 + b[/tex]

[tex]4 = 2 + b[/tex]

[tex]4 - 2 = b[/tex]

[tex]2 = b[/tex]

So the final equation is equal to

[tex]y = \frac{-2}{3}x + 2[/tex]

Answer:

1st number is 64

Step-by-step explanation:

Lets start by making the words into equations.

So the 1st plus the 2nd is 75:

1st+ 2nd= 75

Now the tricky part. The 1st is 9 more than 5 times the 2nd. The key word 'times' means multiplication, we we will have 5 x 2nd somewhere in our equation. The '1st is 9 more than' part tricks us into thinking we will have 1st plus 9, BUT WE WON'T because it isn't 9 more, its 9 more THAN. This means we will get.

1st= 5 x 2nd +9

To make this a little cleaner, I will have the 1st = X and the 2nd= y.

x+y=75

x=5y+9

We can substitute the bottom equation into the top equation.

5y+9+y=75

Combine like terms

6y+9=75

Solve for Y by getting y alone.

6y+9=75

6y=66

y=11

Then we can take our value of y and plug it back into either equation to solve for X. The top equation is the easiest.

x+11=75

Isolate x to solve for x

x=64

And we established that x= the 1st number, so the 1st number is 64

Answer:

3/6  of a cup for every cup of water.

Step-by-step explanation:

Answer:

x = -40

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Multiply 5 to both sides of the equation:

(x/5) * 5 = (-8) * 5

x = -8 * 5

x = -40

x = -40 is your answer.

~

Answer:

[tex] \mathbb= > \frac{x}{5} = - 8[/tex]

[tex]\mathbb = > x = - 8 \times 5[/tex]

[tex]\mathbb = > x = - 40[/tex]

Answer:

C. 5/4

Step-by-step explanation:

Slope formula is y=mx+b so your slope is m

In your equation y=5/4x-7/4, your slope is where m would be, so 5/4

Answer:

the slope of the equation is 5/4