(100 Points) (Marking as Brainiest)

Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.​

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hours

Inequalities

Chris has a goal to get through at least 14 books:

x + y ≥ 14

He has at most 120 hours that he can spend on books:

4x + 12y ≤ 120

He wants to complete at least 2 audio books and at least 4 paper books:

x ≥ 2y ≥ 4


Related Questions

divide 81 ft in the ratio 5 :4

Answers

Answer:

Rr = 51 : 68

Step-by-step explanation:

A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?

Answers

23/10 = 2.3 pages per minute.
23. 1
10 = x
23x = 10
X = 10/23 of a minute per page.

Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how

Answers

Answer:

Below

Step-by-step explanation:

1. 3x+9=5

2.  3x+9-9=5-9

3. 3x=-4

5. 3x/3=-4/3

6. -4/3

7. -1 1/3

Answer:

The answer is -4/3 or - 1 1/3

Step-by-step explanation:

3x+9= 5

    -9    -9

3x = -4

 /3    /3

Y= -4/3 or [tex]-1\frac{1}{3}[/tex]

Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.

Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now

Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y

Step 4: Divide 3 from -4 and you get -4/3

Let me know if you have any questions and I hope this helps :)

if x/2=6.5 what is x

Answers

Answer: 13

Step-by-step explanation: 6.5 x 2=13

Answer:

x=13

Step-by-step explanation:

13/2=6.5

Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand

Answers

9514 1404 393

Answer:

x-intercepts: -2, +1/2y-intercepts: ±√2

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?

Invention of the distance options
6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Answers

Answer:

4.2

0.6

Step-by-step explanation:

The distance and midpoint between points D and E on the number line 4.2 and 0.6

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We need to find the distance and midpoint between points D and E on the number line.

Invention of the distance options; 6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Here the distance between points D and E on the number line

= 4.2

Thus, the midpoint between points D and E on the number line = 0.6

Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ2

Find the reference angle for -369°
a.

c.
99°
b.
81°
d.
171°


Please select the best answer from the choices provided

A
B
C
D

Answers

my guess would be guess A

Answer:

A. 9

Step-by-step explanation:

15 metres at a speed of 20 cm/s (answer in seconds) a ​

Answers

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST

What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

x= cost per gallon

10x=23

x=2.3

2.3*15= 34.5

PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?

5.2
6.2
7.2
8.2

Answers

Answer:

7.14

Step-by-step explanation:

Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30

Answers

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

What is a system of equations?

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

#SPJ1

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point

for example use the following equations

y = x + 2

y = x + 3

In the graph, these equations are parallel

Answer:

Neither

Step-by-step explanation:

Because the y intercepts, or the (point on the y axis) is different

May I please have brainliest?

A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week

Answers

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Learn more : https://brainly.com/question/25625086

If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?

Answers

Answer:1001

Step-by-step explanation:

a) 60 square meters in square centimeters.

Answers

Answer:

600,000 cm²

Step-by-step explanation:

We know the conversion from meters to centimeters to be

1 m = 100 cm.

We need the conversion factor from square meters to square centimeters.

Start with

1 m = 100 cm

Square both sides.

(1 m)² = (100 cm)²

1 m² = 10,000 cm²

Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².

60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²

How long does it take the ball to hit the ground when dropped from 50ft.?

Answers

I hope it's about 1.8 sec

HELPP it’s angles of a triangle much appreciated !

Answers

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

20 POINTS !!

x^2+y^2+2x+2y=0

x^2+y^2+2x+6y+9=0 solve each system using substitution

Will mark brainlyest if steps are provided

Answers

Answer:

Step-by-step explanation:

x²+y²+2x+2y=0  ...(1)

x²+y²+2x+6y+9=0  ...(2)

subtract (1) from (2)

x²+y²+2x+6y+9-(x²+y²+2x+2y)=0

x²+y²+2x+6y+9-x²-y²-2x-2y=0

4y+9=0

4y=-9

[tex]y=-\frac{9}{4}[/tex]

put in (1)

[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]

solution is ((√7-4)/4,-9/4)

and ((-√7-4)/4,-9/4)

solve pls brainliest

Answers

Answer:

y = 13x

Step-by-step explanation:

Substitute 2 in x and you'll get 26:

y = 13•2

y = 26

Hey can you check the problems I have done and explain the ones I don't​

Answers

i cant see very clearly the paper, however here is everything i can see and how i think they should be solved:

Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.

Will pick brainliest answer, thank you :)

Answers

Answer:

15) (1, 1) and (-1, 1)

16) (1, 2) and (-1, 2)

17 (1,1/2) and (-1, 1/2)

18) (1,1/4) and (-1, 1/4)

19) 16 is vertical stretch, 17 and 18 is vertical compressed

Step-by-step explanation:

for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1

so y is the "a" value in the equation  y=ax²

for qs 19

y=ax²

so if a>1 -- then vertical stretch

when 0<a<1 -- then vertical compressed

   


Sketch the graph of each line by identifying the x-and y-intercepts.

Answers

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

Vote brainliest!

Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1

2
x
.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

Hope that helps

use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answers

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

P = y² + 2z find the value of P if y = 3 and z = -4

Answers

Answer:

[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]

Answer:

P = 1

Step-by-step explanation:

P = [tex]y^{2}[/tex] + 2 (-4)

P= [tex]3^{2}[/tex] + -8

P = 9 + -8

P = 1

Hope this helps!

Help me please........

Answers

Answer:

28 6

Step-by-step explanation:

count by four and six

48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment

Answers

Answer:

130542

Step-by-step explanation:

FV=48000(2.7196)

FV=130542

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