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:

Rounding x = 5.52

Step-by-step explanation:

2.1x - 3.6 = 8

Add 3.6 to each side

2.1x - 3.6+3.6 = 8+3.6

2.1x = 11.6

Divide each side by 2.1

2.1x/2.1 = 11.6/2.1

x =5.523809524

Rounding x = 5.52

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

Answer:

only A and B are correct

Step-by-step explanation:

all angles in a triangle will always add up to 180

all adjacent angles on a straight line will always add up to 180

Answer:

A and B are correct.

Step-by-step explanation:

This is what I got on EDG

I hope this helps!!!!

Answer:

A round plane figure whose boundary (the circumference)consists of points equidistant from a fixed point (the center)

Answer:

A round plane figure

Step-by-step explanation:

Answer:

The sphere has a diameter of 32 in.

The radius’s length is one-half the length of the diameter.

Step-by-step explanation:

The diameter is the measurement of the line that starts at one end of a circle or a sphere and ends at the other end.

The radius is half the diameter. The radius goes from one end of the circle or sphere to the center.  

So, if a sphere has a radius of 16 inches, it would have a diameter of 32 inches.

16 * 2 = 32

I cannot see the volume of the sphere.

[tex]V = \frac{4}{3}\pi r^3[/tex]

Using 3.14 for pi and 16 for 'r':

[tex]4/3 * 3.14 * 16^3\\\\4/3*3.14 *4096\\\\4.1866...*4096\\\\17148.3136[/tex]

The volume of the sphere is about 17148 cubic centimetres.

Answer:

c

Step-by-step explanation:

i did the test

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

Step-by-step explanation:

Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.

I attached a picture of some of the missing values. That should help a little with visualizing.

Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.

The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.

Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.

Now you can make your surface area equation:

[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]

The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.

[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]

If there's anything you need me to explain further, feel free to comment :)

Answer:

[tex]SA=613.5m^2[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

[tex]18^2+24^2=x^2[/tex]

Therefore, answer choice D is correct. Hope this helps!

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

Learn more about heptagon here:

https://brainly.com/question/12630702

#SPJ2

Answer:

8.8

Step-by-step explanation:

4.5-0.2=4.3

The difference is 4.3 add 4.3 to 4.5=8.8

Answer:

20x + 12y

Step-by-step explanation:

4 times 5x = 20x

4 times 3y= 12y

Step-by-step explanation:

I am going to assume that the equivalent expression is fully simplified.

To simplify this expression, we use the distributive method.

Using this method we get:

4·(5x+3y) = 4·5x+4·3y

Now that we have the terms seperated, simplify each of them:

4·5x + 4·3y = 20x + 12y

Our expression is now fully simplified so our answer is:

20x + 12y

Answer: -7.875

Step-by-step explanation:

Answer:

In six years the population will exceed 645 deers

[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

Required

What steps should be taken to complete the conversion?

The first step is to cancel out equal units;

Kilometre(s) will cancel out Kilometre(s)

Mile(s) will cancel out Miles

And we'll be left with metres

This is shown below

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]

[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]

The next step is to perform all multiplications

[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]

[tex]\frac{12,880\ metres}{1} =[/tex]

[tex]12,880\ metres[/tex]

Answer:

10 inches

Step-by-step explanation:

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Answer:

[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Step-by-step explanation:

To find the product :

[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]

[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]

[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Some identities used:

1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]

2. [tex]\sqrt9 =3[/tex]

3. [tex]\sqrt{25} =5[/tex]

4. [tex]\sqrt x \times \sqrt x=x[/tex]

5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]

So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Answer:it’s b

Step-by-step explanation:

On edge

Answer:

6

Step-by-step explanation:

[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]

Hope this helps!

Answer:

(a) ratio of all books to new books is   17 : 8  

or in quotient form: 17/8

(b) ratio of all books to used books is  17 : 9

or in quotient form: 17/9

Step-by-step explanation:

Number of new books = 8

Number of used books =  9

Total number of books = 17

Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:

a : b

which can also be translated to the quotient expression: a/b

Then the requested ratio of

(a) all books to new books is   17 : 8  

or in quotient form: 17/8

(b) all books to used books is  17 : 9

or in quotient form: 17/9

Answer:-7n-21-8-64n

-71n-29

Step-by-step explanation:

Answer: -71n - 29

Step-by-step explanation:

-7n - 21 -8 - 64n

Collect like terms:

-7n - 64n -21 - 8

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

Learn more about speed at https://brainly.com/question/4931057

#SPJ2

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:

[tex]4x^2-16=0[/tex]

Factor:

[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]

The x intercepts are at (-2,0) and (2,0). Hope this helps!

Answer:

The x intercepts are -2 and 2

Step-by-step explanation:

y=4x^2-16

Set equal to zero to find the x intercepts

0 =4x^2-16

Factor

0 = 4(x^2 -4)

Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)

0 = 4(x-2) (x+2)

Using the zero product property

0 = x-2   0 = x+2

x =2          x = -2

The x intercepts are -2 and 2

Answer:

C.  [tex] y + 1 = -3(x - 10) [/tex]

Step-by-step explanation:

The point-slope equation of a line:

[tex] y - y_1 = m(x - x_1) [/tex]

where m = slope, and the point is (x1, y1).

In this case, the point is (10, -1), so x1 = 10 and y1 = -1.

The slope is -3, so m = -3.

[tex] y - (-1) = -3(x - 10) [/tex]

[tex] y + 1 = -3(x - 10) [/tex]

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{\cos 65}[/tex]"

Step-by-step explanation:

Given:

[tex]\Rightarrow \bold{\sin 25}\\[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\frac{\sin 25}{1}[/tex]

[tex]\therefore \tan \theta = \frac{\sin \theta }{cos \theta}[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\cos (90-65)[/tex]

The answer is "[tex]\bold{\cos 65}[/tex]".

Answer:

f(x) = 5/2x+7

Step-by-step explanation:

The y intercept is 7

We have 2 points (0,7)  (2,12)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (12-7)/(2-0)

   = 5/2

We can use slope intercept form

y = mx+b

y = 5/2x+7

f(x) = 5/2x+7

Step-by-step explanation:

6 + 3y + 4 < 6

10 + 3y < 6

3y < -4

y < -4/3

Answer:

y < -4/3

Step-by-step explanation:

6+ Зу + 4 < 6

Combine like terms

10 +3y < 6

Subtract 10 from each side

10 +3y - 10 < 6-10

3y < -4

Divide each side by 3

3y/3 < -4/3

y < -4/3