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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

Sandra has designed this open container. The height of the container is 35 cm.
(a) The cross section of the container is given below. Find the area of the following figure.

Answers

Answer:

329.87cm2

Step-by-step explanation:

Actually include the question next time.

Full Bottom Is semi circle.. find the area of the semicircle that's A1...

Then find the area of the smaller circle marked in red.. that's A2...

Then A1 - A2 will give you bottom area...

Now move to top one... Top one is a semi circle.. find its area A3...

So add both A3 with A1-A2...

Total will give the area of the shape

The area of the cross-section of the container will be 329.87 cm²

To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.

Area of the container:

Area = (2π r²) + (2πrh)

We are Given, the diameter are 17.5 cm and 6.5 cm respectively.

Diameter of the complete circle will be;

(17.5 + 6.5) =24.0

Area of complete circle is π x( 12)²

452.16 cm²

Therefore, the area of the circle A is (π x( 17.5/2)²

= 240.40 cm² (approx).

Therefore, the area of the circle B is (π x( 6.5/2)²

= 33.166

Total area of circle = 452.16 cm² -  33.166

Area = (452.16 cm² -  33.166 cm² ) + (2x 3.14 x 12 x 35)

Area = 329.87 cm²

Learn more about the area;

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Find the surface area! Please I need it quick

Answers

Step-by-step explanation:

We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of them

Area1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²

Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²

Sorry my wireless went down!!!Hope this helps and you already know what I would like to get

Please answer without a link.

Answers

Answer:

D) 15/4+5.4

Step-by-step explanation:

find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17​

Answers

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The LCM of 3 and 18 is 18.

What is determinant ?

Answers

Answer:

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Answer:

It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.

Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.

Answers

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Here is an inequality -10+x÷4+5>7x-5÷3

Answers

Answer:

here is the answer x>1/2

35 is 25% of what percent​

Answers

Answer:

140

Step-by-step explanation:

35 ÷25%

35 ÷ 25/100

140

ok I am a little confused here but I think I may know what your asking.

What is 25% of 35? or you could be asking 35 is 25% of what number?

I'll answer both just in case.

What is 25% of 35?: 35 ÷ 4 = 8.75%

35 is 25% of what number?: 35 x 4 = 140

Write an equation in standard form of the line that contains the point ​(-1,4) and is parallel to​​ (has the same slope​ as) the line y=2x-7

The equation of the line in standard form is

Answers

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.

A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes

Answers

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

What is the degree of angle o?
Show work

Answers

180 - 78 = 102 hope this help
180-78 and you get the degree for angle n and use 180-24-n then you’ll get the degree of angle o

100 POINTS IF U GET THIS RIGHT!

Answers

[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]

Answer:

Slope: 3/2

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -3x/2 - 3/8

=> Now, let's compare:

=> y = mx + b = y = -3x/2 - 3/8

We can tell that slope = m, which is 3/2.

Hoped this helped.

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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets

Answers

The first animal of the can of Stewart little was awarded awesome dissatisfaction based upon the cooking rewards the ants liked the food

Aubree is throwing a pizza party. She has 3 pounds of cheese available and she
needs , pound of cheese to make each pizza. How many pizzas can she make?

Answers

Answer:

10 2/3

Step-by-step explanation:

16 x 2/3

32/3 or 10 2/3

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

#2

vertical angles theorem

#3

Third angle therom

#4

Definition of congruence

#5

Reflexive

#6

Definition of bisect

#7

SAS

Step-by-step explanation:

Missing reasons:

2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS

someone please help me

Answers

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **


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

Answers

Straight line at y=5
And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis

Q8. the distance between two villages is 12875km. Express the distance in standard form.​

Answers

Answer:

1.2875 × 10^4

Step-by-step explanation:

Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?

Answers

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

Read more about linear equations at:

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7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9

Answers

It’s 9.25 :))))))))))))

On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.

What is Expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -

5x + 7 = 6

7r + π = 4

Given is the following expression -

7.5 + (4² − 2³) ÷ 4

The given expression is -

7.5 + (4² − 2³) ÷ 4

Using the BODMAS rule, we can solve -

7.5 + (16 - 8) ÷ 4

7.5 + 8 ÷ 4

7.5 + 2

9.5

Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.

To solve more questions on evaluating expressions, visit the link below-

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if f(x) = (3+x)/(x-3), what is f(a+2)​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(a + 2), substitute x = a + 2 into f(x), that is

f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]

Hello please help with this question.

Answers

Answer:

77.32°

Step-by-step explanation:

Use sine to find the measure of ∠A:

sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°

What is the slope intercept equation from the graph?

Please help me thank u!

Answers

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

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

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )

Answers

Answer:

6x^8 y^5

Step-by-step explanation:


You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?

Answers

Answer:

92 dollars each luv:)

Step-by-step explanation:

Find the slope of the line x=+6

Answers

Step-by-step explanation:

x = 6

is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).

it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

John rented a jet ski for $199.95. The rental included a rental fee of $75 and an additional charge of $24.99 per hour. How many hours did John rent the jet ski?

Answers

Answer:

John rented the jet ski for 5 hours

Step-by-step explanation:

Step 1- Subtract $75 from $199.95 and you should end up with $124.95

Step 2- Divide $124.95 by $24.99 and you should end up with 5

Step 3- John rented the jet ski for 5 hours

Answer:

John rented the jet ski for 5 hours.

Step-by-step explanation:

Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.

Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?

write and expression

Answers

Answer:

T= total # of jerseys to order

y= # of players

T= 4*y

Total equals 4 times # of players

T= 4y

solve 3(2x - 3) + 4x = -59

Answers

Answer:-5

Step-by-step explanation:

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