Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?

Hi

When you have a system of equation, you generally have two unknowned value.  

The trick is to express one letter as equal of something in the second letter.

We have two lines :  

(1) :  y = -5x-1

(2) :  4x-7y = 7

Here  he job is  half done as  we have already  "y" express in " x"  with line (1)  so  :   y = -5x-1  

So I can rewrite line (2)  as this  :   4x-7y = 7

                                                         as y = -5x-1 so :

                                                          4x-7y = 7  become :

                                                           4x - 7 ( -5x-1) = 7

                                                           4x-7 * (-5x) - 7* (-1) = 7

                                                            4x +35x +7 = 7

                                                             4x +35x +7 -7 = 7-7

                                                             39x = 0

                                                                  39x/39 = 0 /39

                                                                      x = 0

So if X = 0  then we have in line (1)  we have by replacing  "x" by it's value :    y = -5x-1

y = -5*0 -1  

y =  -1

Dont hesitate to ask in comments if it's still not clear.

Problem 22

-----------------------

Explanation:

Segments XY and YZ add up to segment XZ

XY + YZ = XZ

(x+6) + (3x+1) = 5x

4x+7 = 5x

7 = 5x-4x

7 = x

x = 7

===============================================================

Problem 23

-----------------------

Explanation:

We'll use the result in the previous problem to find that,

XY = x+6

XY = 7+6

XY = 13

===============================================================

Problem 24

-----------------------

Explanation:

Similar to problem 23, we'll use the value of x = 7 to find that,

YZ = 3x+1

YZ = 3*7+1

YZ = 21+1

YZ = 22

===============================================================

Problem 25

-----------------------

Explanation:

We have two options. We could add the results of the last two problems

XZ = XY + YZ = 13+22 = 35

Or we could compute XZ directly like so

XZ = 5x = 5*7 = 35

Either way, we get the same result. The fact we get the same value both times helps confirm we have the correct x value and the correct lengths of XY and YZ.

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The segment addition postulate states the given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. In another word, if 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

XY = x + 6

YZ = 3x + 1

XZ = 5x

Given expression deducted according to the segment addition postulate

XY +YZ = XZ

Substitute values into the expression

x + 6 + 3x + 1 = 5x

Combine like terms

4x + 7 = 5x

Subtract 4x on both sides

4x + 7 - 4x = 5x - 4x

x = 7

Find the value of XY

XY = x + 6 = (7) + 6 = 13

Find the value of YZ

YZ = 3x + 1 = 3 (7) + 1 = 22

Find the value of XZ

XZ = 5x = 5 (7) = 35

Check:

Left-hand side: XY + YZ = 13 + 22 = 35

Right-hand side: XZ = 35

35 = 35

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The answer is 25 weeks

Step-by-step explanation:

Let, Number of weeks = x

Now, the required expression is

∴[tex]600-20x\geq 100\\=>-20x\geq -500\\=>20x\leq 500\\x\leq 25[/tex]

Hope you have understood this.....

ask me if you have any confusion.....

if you liked it pls mark it as the brainliest

9b^8 + 24b^3

= 3b^3 ( 3b^5 + 8 )

Answer:

3.2×10^-7 hope this will be of help

Answer:

59000.000 nanometres

Answer:

59μm

Please give branliest

Step-by-step explanation:

1e-6m=1μm

5.9e-5m=59μm

Answer:

x= -0.5

Step-by-step explanation:

2x-4+2x+16=10

4x+12=10

4x=-2

x=-1/2

Step-by-step explanation:

(x-2) 2 +(x+8) 2 = 10

x-2 + 2× x 2×8 + 2 = 10

x - 2 + 2x + 16 + 2 = 10

x + 2x + 16 - 2 + 2 = 10

3x + 16 = 10

3x = 10-16

3x = -6

3x÷3x = 6 ÷ 3

x = -2

Answer:

pretty sure its step 2

Step-by-step explanation:

Answer:

The circumference is the perimeter, specifically the perimeter of a circle. It can be solved by using the following formula:  

C = 2πr

C stands for circumference.

π stands for pi, or 3.14 (rounded).

r stands for radius.

The radius is the distance from the center point of the circle to any point on the circle. It is denoted by the variable, r, as stated above. It is 1/2 of the diameter.

Answer:

the radius is the line from center to perimeter and circumference is the enclosed boundary

Step-by-step explanation:

radius- is any of the line segments from a circle or spheres center to its perimeter

circumference- the enclosed boundary a curved geometric figure, especially a circle

Answer: Filled circle at -1 shading to the left.

Step-by-step explanation:

-3x+3<6

     -3 -3

_________

-3x<3

-3x/-3     3/-3

=  -1

and the < sign means less than or equal to. Hope this helps!

Answer:Option D

Step-by-step explanation:

Answer:

p is 16

Step-by-step explanation:

[tex]p \: \alpha {(q + 2)}^{2} [/tex]

introduce a constant on a right hand side:

[tex]p = k {(q + 2)}^{2} - - - eqn \: (a)[/tex]

[ when q is 1, also p is 1 ]

[tex]1 = k(1 + 2) {}^{2} \\ 1 = 9k \\ k = \frac{1}{9} [/tex]

substitute for k in eqn (a):

[tex]p = \frac{1}{9} (q + 2) {}^{2} [/tex]

so, when q is 10:

[tex]p = \frac{1}{9} (10 + 2) {}^{2} \\ \\ p = \frac{1}{9} (144) \\ \\ p = 16[/tex]

Answer:

1/8 or 12.5% probability

Step-by-step explanation:

Compound probability is what you would want to use here which is the probability of the first event multiplied by the second event.

So, if 1/4 is the probability of spinning a 1 on the spinner and 1/2 is the probability of flipping heads, you would multiply 1/4 • 1/2 to get 1/8, or 12.5%

Hope this helped!

Answer:

Option b 12+6÷(3+3)

Step-by-step explanation:

12+6÷(3+3)

= 12+6÷6

= 12+1

= 13

Answer:

(5,2)

Step-by-step explanation:

midpoint formula for future reference

(x1+x2/2),(y1+y2/2)

(3+7/2),(-5+9/2)

(10/2),(4/2)

(5,2)

Answer:

40.3

Step-by-step explanation:

62×(1-35%)= 40.3

100% - 35% = 65%

The toasters sale price is 65% of the original price:

$62 x 0.65 = $40.30

Sale price = $40.30

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

 and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Answer:

WHAT IS THE MID-POINT OF "AB"

A=(-3,3)

B=(-5,-4)

Step-by-step explanation:

Answer:

8 minutes per customer in Restaurant One.

6 minutes per customer in Restaurant Two.

7 minutes per customer in Restaurant Three.

Restaurant Two had the fastest service.

Method:

I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.

Answer

The 2nd restaurant is the fastest

Step-by-step explanation:

I. Compare Time per Customers

     When 1st restuarant = 48/6 = 9

                2nd restuarant = 42/7 = 6

                3rd restuarant = 63/9 = 7

Given if in 1 min, I can serve 20 customers = 1/20 = 0.05

             in 1 min, He can serve 10 customers = 1/10 = 0.1

      See the different? I can serve better than him.

So The answer is the 2nd restuarant.

Hope that help :D

Answer:

2.8

Step-by-step explanation:

If u divide 14 into 5, you get a decimal, 2.8.

2.8

simply asking for the answer to 14 divided by 5 it is 2.8

(if anything further is required i’ll try my best to help! )

1.06418

The same as of sec 20 degrees in radians to obtain 20 degrees in radian multiply 20° by / 180° = 1/9

Answer:

Step-by-step explanation:

3/5 divide each by 3

Answer:

lowest term is 3/5

Step-by-step explanation:

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

Answer:

V = 315 degrees

K = 280 degrees

Y = 190 degrees

Q = 225 degrees

Step-by-step explanation:

since its estimated its ok if im a little wrong right?

Answer:

2/3

Step-by-step explanation:

Well, I don't know and the answer might not be correct*

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, B to A , then

scale factor = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] ( = 1.5 )

Answer:

plz mark me brainliest

Step-by-step explanation:

thanks for question

Answer:

-2

Step-by-step explanation:

Triangle S

Triangle L

For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2

Hope it helps,... Chow,...!

Answer:

140

Step-by-step explanation:

For every 2 hours, the number goes up 140 miles.

Note: it does not ask for the MPH, it asks for Rate of Change.

Rate of Change is asking for the difference between numbers from one circumstance to the next. For example, in this question, as the table goes up 2 hours in each section, so does miles traveled. Calculate the difference in miles driven for each section to concur that the Rate of Change is 140.

Answer:

70 mph

Step-by-step explanation:

The rate of change is measured as the ratio of the difference between any 2 ordered pairs from the table

Using (4, 280 ) and (6, 420 ) , then

rate of change = [tex]\frac{420-280}{6-4}[/tex] = [tex]\frac{140}{2}[/tex] = 70 mph

Answer:

49.0(714285) or 49 and remain 1

Step-by-step explanation  

687/14 = 49

49*14 = 686

687 - 686 = 1

49 and remain 1 (Remain Method)

1/14 = .0714285714285714285.... => .0(714285)

Now add 49 to the result, we get 49.0(714285)

Good luck!

Answer:

((down below))

Step-by-step explanation:

If A is the midpoint of Line Segment XY, then we can conclude that the length of XA = the length of AY. ((in other words, XA = AY))

Find XA

Finding the Length of AY (Calculating Length)

Finding the Length of XA

Finding the Length of XY