Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?

Answers

Answer 1

Answer:

in 8 weeks they will each have 30 books

Step-by-step explanation:

Lacey:  y = 2x + 14

Rita:      y = x + 22

y = # weeks

x = # books

set equations equal to each other:

2x + 14 = x + 22

x + 14 = 22

x = 8

solve for 'y':

y = 8 + 22

y = 30


Related Questions

f) 2(x +3) = 8 - 3 (x-4)​

Answers

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

x = 2.8

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

Please help me and actually give me a proper answer pleaseeee I beg youuuu

Answers

Answer:

A

Step-by-step explanation:

To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0

Hello, who would you do me the favor of helping me with this question?
He says:
Show, using the property of the number of diagonals of a polygon, that the triangles have no diagonals.
I hope they help me ​

Answers

Step-by-step explanation:

diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal

The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.

Answers

Answer:  

430 is the cost of catering 18 less than 100 guests.

Step-by-step explanation:

f(g(18))=f(100-18)=f(82)=20+5*82=430

Find an angle between 0 and 2 pi that is coterminal with -17 pi/ 10

Answers

Answer:

3pi/ 10

Step-by-step explanation:

Enter a problem...

Trigonometry Examples

Popular Problems

 

Trigonometry

 

Find the Reference Angle (17pi)/10

17π1017π10

Since the angle 17π/ 10 is in the fourth quadrant, subtract 17π/10 from2π.

2π−17π/10

The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].

What is coterminal angle?

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Angles are considered to be in standard position if the initial side is on the positive x-axis and the vertex at the (0,0) point of the Cartesian plane. All angles generated that share the same terminal side are coterminal angles. These are angles that have differences of multiples of 360n or n2pi where n is an integer.

A coterminal angle is found by simply adding or subtracting 360 and its multiples.

The coterminal angles of 20 degrees for example are 20 + 360 = 380 or 20 - 360 = -340. This may continue by adding or subtracting 360 each time.

To get coterminal angles, you simply have to add or subtract 2[tex]\pi[/tex].

According to this problem,

We are looking for a coterminal angle that is between 0 to 2[tex]\pi[/tex], so we will add [tex]2\pi \ to \ \frac{-17\pi }{10}[/tex].

= [tex]\frac{-17\pi }{10} +\frac{20\pi }{10}[/tex]

= [tex]\frac{-17\pi +20\pi }{10}[/tex]

= [tex]\frac{3\pi }{10}[/tex]

Hence,

The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].

Find out more information about coterminal angle here

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Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?

Answers

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

TIMED WILL GIVE BRAINLYIST

Answers

Answer:

D)

Step-by-step explanation:

TY is a ray.

FR is a segment.

Ray TY intersects segment FR at point P.

Answer: D)

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Answer: TY intersects FR at point P

Explanation:

I hope this helped!

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On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?

1 point
2 points
3 points
4 points

Answers

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

Find the quadratic root of 3x2-4x+2=0​

Answers

Answer:

Step-by-step explanation:

A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.

Answers

Answer:

::::::::::::::::::

5:2

Find five numbers so that the mean, median, mode and range are all 4.​

Answers

Answer:

The set of five numbers would be {2,4,4,4,6}

Answer:

The example set could be:

S

=

{

2

,

4

,

4

,

4

,

6

}

See explanation.

Explanation:

First you can notice that if the set was:

S

1

=

{

4

,

4

,

4

,

4

,

4

}

then it would fulfill 2 conditions: mean and median, but

the set does not have the mode because all numbers are the same,

the range is zero (again all numbers are the same)

To have the mode the set would have to have at least one element different from

4

, but if we changed only one element the mean would change, so at least two numbers need to be changed to keep mean equal to

4

..

Now to get the range the difference between the changed numbers should be

4

. That leads us to adding two to one number and subtracting two from the other.

Finally we can get the set from the answer.

Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩=   ⟨1.77,250∘⟩=    ⟨5.8,150∘⟩= ​

Answers

9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is

Answers

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

PLS HELP ME ASAP! Dont answer for points & no links for other sites or i will report you. I'm running out of points plss

Answers

The answer is C. Btw what happens if u run out of points

caculate the VAT inclusive amount for R42,42​

Answers

Answer: R47.66

Step-by-step explanation:

Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.

The VAT inclusive amount is therefore:

= 42.42 * ( 1 + tax rate)

= 42.42 * ( 1 + 12.36%)

= R47.66

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence

Answers

Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

What is the domain of the function y=xVx?
- 0 0 0 O 15x<0

Answers

Answer:

Option A will be your answer

Step-by-step explanation:

hope it helps...

have a great day!!

The cube root function , has no domain restrictions. The domain of the cube root function is all real numbers, or ℝ .

What is domain ?

The domain of a function is the complete set of possible values of the independent variable.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

When finding the domain, remember:

The denominator (bottom) of a fraction cannot be zero.

The number under a square root sign must be positive in this section.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Domain: (- ∞ , ∞) , {x | x ∈ [tex]\mathbb{R}[/tex]}

Hence, The domain of the cube root function is all real numbers, or ℝ .

To learn more about the domain here:

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9482 ÷ 497 answer pls

Answers

Answer:

19.0784708249

Step-by-step explanation:

Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3

Answers

9514 1404 393

Answer:

  f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

16 +2·36 = 16 +2·4·9 = 16 +8·9

  = 2^4 + 2^3 · 3^2 . . . . . matches choice F

_____

Since you're familiar with your multiplication tables, you know ...

  4 = 2·2

  8 = 2·4 = 2·2·2 = 2^3

  16 = 2·8 = 2·2·2·2 = 2^4

  9 = 3·3 = 3^2

  36 = 4·9

The exponent signifies repeated multiplication.

Answer:

f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

What is the area of a circle with a radius of 1 foot?

Answers

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day

Brainliest for correct answer asap

Answers

Answer:

1st one

Step-by-step explanation:

Step-by-step explanation:

answerss

the Last one or the 1st one but go w it the last

y = 4x-9
y = x-3
Which method and why? Solve, shoving all work

Answers

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

===============

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

==============

The solution is (2,-1)

9 tens =
Ones how many ones are in 9 10 tens ?

Answers

Answer:

90

Step-by-step explanation:

There are 10 ones in 1 ten.

So if you have 9 tens then...

10 x 9 = 90

The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.


Tickets to a play cost $8.00 each.
Write an expression to find the
total cost of "b" boys &
"g" girls.

Answers

Answer:

Step-by-step explanation:

b + g = 8x

The graphs of triangles LMN and NOP are shown.

which of the following best describes the slope of line LP?

A) 5/2
B) 2
C) 2/5
D) 1/3

Answers

Answer:  Choice C) 2/5

===========================================================

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

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

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

Sarah has two pizzas each pizza is cut into 10 equal slices she and her friends 14
slices what part of the pizza did they eat and how much is left right your answer as a decimal

Answers

30% of the pizza is left. 0.7

sharon bought a $2,100 high definition television set on a six month rent to own plan. the down payment was 10%. what was the dollar value of the down payment? her monthly payments were $75 per month. if she decides not to buy the HDTV after the six months, what was her cost to rent it?

Answers

Answer:

Total Sharon spent $660 for the tv

The down payment was $210

The amount that she paid for rent after 6 months is $450

Step-by-step explanation:

To find out how much her down payment was you would need to find out how much 10% of $2,100 is which is $210, so you know her down payment was $210.

Then you would find out the total cost of rent is after 6 months so you would do 6 times $75 which is $450. So if she decides to not buy it then after 6 months she would have spent $450 to rent it.

And total she would have spent $660 which you can find out by doing $450 + $210 = $660.

helppp meee plsss i’m begging

Answers

Answer:

y = 9

Step-by-step explanation:

A parallelogram has a base of 10 feet and a height of 12 feet.
Use the figure to complete the statements.

The area of the parallelogram is __________ft2.

First choice: 120
Second choice: 100
Third choice: 144
Fourth choice: 22

Answers

Step-by-step explanation:

♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]

Base ( b ) = 10 ftHeight ( h ) = 12 ft

♨ [tex] \underline{ \underline{ \large{ \tt{ T\: O \: \: F \: I \: N \: D}}} }: [/tex]

Area of the parallelogram

☪ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

[tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram ( \: A \: )= base \: (b) \times height \: (h)}}}[/tex]

⟼ [tex] \large{ \sf{10 \: ft \times 12 \: ft}}[/tex]

⟼ [tex] \boxed{ \large \sf{120 \: {ft}^{2} }}[/tex]

☃ [tex] \boxed{ \boxed{ \large{ \sf{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{120 \: {ft}^{2} }}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

Let me know if you have any questions regarding my answer! ☄

☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Answer:

First choice: 120 ft² is a required answer.

Step-by-step explanation:

The area of the parallelogram is __________ft2.

=base ×height=10×12=120ft²

Other Questions
Use the paragraphs to complete the activity. Patrick lived in Emoryville, but every Saturday morning he rode two city buses to his uncles bookstore in Northview where he worked. He didnt mind the commute because he loved his job. He loved spending time with his uncle, but he also loved going to work because he had become friends with Andrew, one of his co-workers. The boys would talk about everything from baseball scores to movies to favorite pizza toppings.So this Saturday, when Patrick got to work, he and Andrew got to talking as they always did.Hey, Pat, Andrew said casually.Hey, said Patrick. Did you have a good week?Yeah, he said. Great week. My basketball team made it into the semifinals. The game is tonight. Were playing Emoryville, our nemesis.Before Patrick could say another word, Andrew continued. I dont like Emoryville. I dont think I could ever be friends with someone from that town. Our schools are such rivals.Patrick was speechless.Where are you from, Pat? I cant believe Ive never asked you that before!Patrick fumbled over his words. Not too far from here, he said before he quickly changed the subject to the new shipment of graphic novels.Suppose Patrick's uncle enters the scene. In 35 sentences, explain how the additional point of view might add humor or suspense to the scene. The total mechanical energy of a basketball is 450 J. If the kinetic energy is 226 J, what must the potential energy be? what is 64x6+27 written as a sum of cubes? PLLSSSSS HELPPPP I DONT GET THIS AT ALL What do all the band members not believe about Bud? This image shows the rock cycle.Which event most likely occurs at point V?coolingerosionheatingmelting A.5,8 and 4,5B.5,8 and 4,3D. 4,5 and 4,3 Please help Which of the following represents a sum from the expression given? A. 21 B. 2 C. 13x2 D. 13x2 + 8x Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten. Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer. uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it There are 4 red marbles and 7 blue marbles in a bay.(a) What is the ratio of all marbles in the bag to blue marbles?(b) What is the ratio of all marbles in the bag to red marbles? What is wooden funiture what happens to the sum of the balls kinetic energy and potential energy as the ball's roll from point A to point E assume theres is no friction between the ball and the ground What is the length of side 'y'? The shape below is made of a semicircle and a triangle.2)16 cm12 cmDetermine the area of this shapeShow your workPlease help me I will give 10 points Please only correct answers What happens when a beaker with cold water is held in a yellow burner flame? Explain this. If a dancer's breathing is deep and rapid after performing a folk dance,what is the intensity of his activity? Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use? Can someone explain it to me?