Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

1( Write an equation to represent the number of pages Amir has read.

Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.


2( Write an equation to represent the number of pages Jesse has read.


Using x, (the number of days Amir has been reading), write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.


3(Write the system of equations using your answers from questions 1 and 2.


4(You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.


5(Solve the system of equations. Show your work.


6(Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?

Answer:  0.25x + 3 ≤ 10;  28 games

Note how we have a "less than or equal to" sign, instead of simply a "less than" sign.

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Work Shown:

x = number of games

0.25x = amount spent on games only

0.25x+3 = total amount spent (games+admission)

total spent ≤ $10   since $10 is the most we have

0.25x + 3 ≤ 10 is the inequality we need to solve

0.25x ≤ 10-3  .... subtract 3 from both sides

0.25x ≤ 7

x ≤ 7/0.25   ............ divide both sides by 0.25

x ≤ 28

Since x is less than or equal to 28, this means the largest x can get is 28.

We can think of this as the ceiling value so to speak.

So the maximum number of games that can be played is 28.

Answer:

3/4 x 3/8 = 9/32

Step-by-step explanation:

Answer:

The answer is $240

Step-by-step explanation:

You multiply 1.5 times 60 minutes and get 90, you then add 150 and 90 and you get 240.

Answer:

the pic is blank we can't see

Step-by-step explanation:

Answer:

12 cubes

Step-by-step explanation:

If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...

24 / 2 = 12 cubes

Finally, we can see that each layer within the box will contain 12 cubes

Answer:

The are is 64 cm.

Step-by-step explanation:

[tex]\huge\text{hi}[/tex]

5 * 2 = 10

12 * 4.5 = 54

54 + 10 = 64cm

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-Lil G

Answer:Yes, they are similar.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

Step-by-step explanation:

Answer:

yes the are similar

Step-by-step explanation:

they are similar since they both have a 90⁰ angles and the lines are =. but I don't know if they count the size of the triangle if yes then they are not similar since they do not have the same area

Answer:

x+5=12

x+7=15

x+ 1/2=1

x+1/3=1

4(x+1)= 8

1.5+x=3

Olivia is 5 years older than Nicole. The sum of their ages is 35. How old is each girl?

Step-by-step explanation:

how this helps!

Answer:

d i have done this before

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

If im wrong sorry but i got big brain :0

Answer:

2 < x <_ 3.5

Step-by-step explanation:

First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.

Answer:

[tex]y = -\frac{2}{3}x + 5[/tex]

Step-by-step explanation:

First you have to find the slope

[tex]m = \frac{7 - 3}{-3 - 3} = \frac{4}{-6} = -\frac{2}{3}[/tex]

Now use the point-slope form by using one of the points and the slope.  Let's use the point (3, 3)

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

Multiply thru the equation by 3 to remove the fraction

3y - 9 = -2(x - 3) =

3y - 9 = -2x +6

3y = -2x + 15

[tex]y = -\frac{2}{3}x + 5[/tex] is the equation in slope-intercept form

Answer:

A.4

Step-by-step explanation:

The diameter of the bigger circle is 14

You first subtract 6 from 14 which is 8

8 is the diameter of the smaller circle the radius is 4

your answer is A.

Given:

The equation is

[tex]y=\log_2x[/tex]

The domain is [tex]\{\dfrac{1}2, 1, 2, 4, 8, 16\}[/tex].

To find:

The graph of six points that would satisfy the equation.

Solution:

We have,

[tex]y=\log_2x[/tex]

For [tex]x=\dfrac{1}{2}[/tex],

[tex]y=\log_2\dfrac{1}{2}[/tex]

[tex]y=\log_22^{-1}[/tex]

[tex]y=-1[/tex]                          [tex][\because \log_aa^x=x][/tex]

Similarly, at x=1,

[tex]y=\log_22^0[/tex]

[tex]y=0[/tex]

At x=2,

[tex]y=\log_22^1[/tex]

[tex]y=1[/tex]                      [tex][\because \log_aa^x=x][/tex]

At x=4,

[tex]y=\log_22^2[/tex]

[tex]y=2[/tex]                      [tex][\because \log_aa^x=x][/tex]

At x=8,

[tex]y=\log_22^3[/tex]

[tex]y=3[/tex]                      [tex][\because \log_aa^x=x][/tex]

At x=16,

[tex]y=\log_22^4[/tex]

[tex]y=4[/tex]                      [tex][\because \log_aa^x=x][/tex]

Plot the points [tex](\dfrac{1}{2},-1),(1,0),(2,1),(4,2),(8,3),(16,4)[/tex] on a coordinate plane as shown below.

Answer:

Step-by-step explanation:

To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.

Answer: [tex]\frac{\pi *r^{2} }{4}[/tex]

Step-by-step explanation:  We know that the formula for the area of a whole circle is πr². A quarter circle is one-fourth of a circle, so if we divide the area of the whole circle into four, we can find the area of the quarter circle: [tex]\frac{\pi *r^{2} }{4}[/tex]

Answer:

-20x+15

Step-by-step explanation:

You use foil method so you distribute it and it becomes -5*4x amd -5*-3 so it would be -20x+15

-5 x 4x=-20x and -5x x -3 = +15

-20x+15 is the answer

Answer:

x= 25

3x-4=71

2x+3=53

2x+6=56

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](2a^2)^{-1}=\frac{1}{2a^2}[/tex]

Answer: yes (I think)

Step-by-step explanation: any input has one output and since there is no doubled output it is a relation of functions

Answer:

streamers are closest to her budget.

Step-by-step explanation:

because if you want to buy balloons then you would have to buy 13.3 3 is infinite, but if you bought streamers then you would only buy 10.

Answer:c

Step-by-step explanation:

Answer:

(3x-16)(2x+15)=0

Answer:

3. 25

4. 22

5. 14

6. 12

7. 45

Step-by-step explanation:

12x4=40+8

20-12=2x4

25-4=3x7

4x9=31+5

16+12=7x4

38-5=3x11

6x7=46-4

Answer:

73 % for the right square, 173% if you need to add both squares together

Step-by-step explanation:

each block is 10, and whole is equal to 100%

Answer:

= 4374.

Step-by-step explanation:

 it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

Answer:

2.64 km

Step-by-step explanation:

24 laps each of 110 meters means a total of :

24 * 110 = 2640 m

which translated to km are: 2.64 km