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.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Answer the questions to solve this problem using a system of equations.

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.


Write your answer in the space below.















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.


Write your answer in the space below.















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


Write your answer in the space below.















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.


Write your answer in the space below.















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


Write your answer in the space below.















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


Write your answer in the space below.

Answer:

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

f(x) = 3x^3 -12x^2

f(2) = 3 * (2)^3 - 12 (2)^2

      = 3 (8) - 12 (4)

      = 24 - 48

      = -24

Answer:

D. f(2)= -24

Step-by-step explanation:

To solve this problem, we want to find what f(x), or y is, when x is equal to 2.

f(x)=3x³-12x²

Therefore, we can substitute 2 in for every x.

x=2

f(2)=3(2³)-12(2²)

Evaluate the exponents first.

2³ is equal to 2*2*2, which equals 8.

2² is equal to 2*2, which equals 4.

f(2)=3(8)-12(4)

Multiply 3 and 8.

f(2)=24-12(4)

Multipy 12 and 4

f(2)=24-48

Subtract 48 from 24.

f(2)=-24

Therefore, the correct answer is D. f(2)= -24

Answer:

x^2 + 2x -6

Step-by-step explanation:

f(x) = 2x+ 1

g(x) = x^2 - 7

(f+ g)(x)= 2x+ 1 + x^2 - 7

Combine like terms

          = x^2 + 2x -6

Answer:

Correct option: third one -> X > 100

Step-by-step explanation:

The equation for the price of Richard's Rental Car is:

P1 = 55 + 0.25*X

The equation for the price of Freddy's Rental Car is:

P2 = 45 + 0.35*X

To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:

55 + 0.25*X < 45 + 0.35*X

0.25*X - 0.35*X < 45 - 55

-0.1*X < -10

0.1*X > 10

X > 100

Correct option: third one

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

Answer:

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:-637

Step-by-step explanation:

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

Learn more about average speed here

https://brainly.com/question/16898305

#SPJ2

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

Hope this helps you

Answer:

Brainliest here!

Step-by-step explanation:

for this, its every number thats either 0 or less than 0

B,D,E

Answer:

see explanation

Step-by-step explanation:

A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus

X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )

Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )

Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

Answer:

A

Step-by-step explanation:

Answer:

Number 3

Step-by-step explanation:

It is an acute isosceles because all the angles are acute and two sides are congruent.

Answer:

Acute and isosceles

Step-by-step explanation:

All the angles are less than 90

2 sides are equal

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

Answer:

2 x pi x r

Step-by-step explanation:

i just copy n pasted this on google

Step-by-step explanation:

c= 2πr

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

Answer:

30%

Step-by-step explanation:

Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]

Selling price = N6.50

Cost price = N5

∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]

                 = [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

Answer:

2/3 = 8/12

Step-by-step explanation:

2/3    vs 8/12

Multiply the left by 4/4 to get common denominators

2/3 *4/4 = 8/12

They are equal

Answer:

is equal to or awnser D

Step-by-step explanation:If you divide the you get the same awnser

Answer:

0.003

Step-by-step explanation:

100 / 3 = 0.003

When dividing with (10, 100, 100 etc) you go this way <—

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

Answer:

Step-by-step explanation:

If you substitute x = -4 in the equation, you should get the y value as 3

y = 5x + 21

 = 5* -4 + 21

 = -20 + 21

y = -1 ≠ 3

So, (-4, 3) is not a solution

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44