Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.

Answers

Answer 1

Answer:

They'll be on page 72

Step-by-step explanation:

Kaylee:

Current page = 24

Page per day = 16

Page, K, Kaylee is on at end of t days

K = current page + (page per day * Number of days)

K = 24 + 16t

Josiah:

Current page = 50

Page per day = 14

Page, J, Josiah is in at the end of t days

J = current page + (page per day * Number of days)

J = 50 + 14t

To be on the same page ;

K = J

24 + 16t = 50 + 14t

24 - 50 = 14t - 16t

- 26 = - 2t

t = 13

After 13 days, they'll be on same page :

K = 24 + 16(13)

K = 24 + 48

K =72

They'll be on page 72


Related Questions

A right triangle has an area of 72 square feet. If the lengths of the sides are multiplied by 6, what is the area of the new triangle?

Answers

Answer:

The answer is 2592 ft squared

Step-by-step explanation:

Brainliest?

Answer:

The answer is 2592:)

Step-by-step explanation:



Tony bought x cans of tennis balls for $3 each. He bought the same number of water bottles for $5. He also

bought a tennis racket for $42

Answers

What are you asking exactly?

What is the standard algorithm

Answers

In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems

simplify the expression by using distributive property and combine like terms. 4(3x - 1) -2(6+ 2x)​

Answers

Answer:

8x-16

Step-by-step explanation:

multiple the 4 and the -2 by everything in the parentheses beside them then add them together to simplify

Natasha rolls a fair dice 66 times.

How many times would Natasha expect to roll a number greater than 5?

Answers

Im not sure but could be 60 times ?

Submit For

Score

Which term best describes the savings account that Isabel has set up, given its purpose?

Select the correct answer.

es

Comments

O emergency fund

O mutual fund

Orainy-day fund

sinking fund

Answers

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.

Another virus starts spreading on July 1st, 2020. No one
was infected prior so there is no constant. But it does spread at a rate of 11
people per day

Write an equation to solve for the number of days it would take to reach 1,000 cases

How many days will it take to reach 1000 cases?

On what date will Gotham City reach 1000 cases?



THE PICTURE SHOWS ABOUT THE FIRST VIRUS

Answers

Answer:

1000÷11=90.9

So,29th September

The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese

Answers

Answer:

488.4 cm²

Step-by-step explanation:

Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H

Where,

B.A = triangular base area = ½*base*height

height = 10.5 cm

base = √(13.7² - 10.5²) = √77.44 = 8.8 cm

B.A = ½*8.8*10.5 = 46.2 cm²

P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33

H = height of prism = 12 cm

Surface area of triangular prism = 2(46.2) + 33*12

= 92.4 + 396

= 488.4 cm²

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

Can someone explain to me why this is supposed to be 21 and not -21

Answers

Answer:

21

Step-by-step explanation:

The reason why the answer is 21 is because a minus with minus makes a positive.

-2 - -17 - -6

-2 + 17 + 6

15 + 6

= 21

a subtraction symbol and a negative number next each other basically changes to addition. So in this example, -2 - -17 is the same as saying -2 + 17 which = 15. 15 - -6 is the same as 15 + 6 which is 21.


hope that helps! :)

A shoe store uses a 50
​%
markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$59
​?

Answers

Answer:

88.50

Step-by-step explanation:

59 divided by 2 (50%) = 29.50

59+29.50=88.50

I think answer should be 88.50 please give me brainlest let me know if it’s correct or not thanks

In gym class, the sixth graders walk 3 laps for every 2 laps they run. If the students run 6 laps, how many laps will they walk?
(p.s whoever types it fast and correct i will friend you. i like to do these brain stretches for people to have fun :D

Answers

Answer:

They walk 9 laps

Step-by-step explanation:

If the run for 6 laps you need to multiply how many times they walked when they ran for 2 laps by 3 (3*3) which should give you 9

Answer:

5

Step-by-step explanation:


Please help! Will make brainliest !!

Answers

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

-3x - 4y = 4
-5.2 +y = 2
Is (2, 10) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

Simply (2^3)-2


0 - 1/64
0 1/64
0 2
0 64

Answers

The correct answer is,

[tex] \frac{1}{64} [/tex]

Answer:

1/64

Step-by-step explanation:

when exponents are separated by parentheses, multiply them

so (2³)^-2 = 2^-6

whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive

2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate

Answers

Answer:

d

Step-by-step explanation:

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

How do you get from 4 to 4/3

Answers

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

hector has a $50.00 gift card to purchase online music. he uses his gift card to buy online music. he uses his giftcard to buy 2 albums for $7.50 each. he will spend the rest of his gift card on individual songs that cost $1.50 each . what is the maxinum number of individual songs hector can buy. A.23 B.24 C.28 D.33

Answers

Answer:

mk 50- (7.50x2)

50-15=35

then 1.50 can be shoved in 35.00

a)23

it will only go up to 34.5

Step-by-step explanation:

sorry your answer is a)23

in each bouquet of flowers there are four roses and 6 white carnations complete the table to find how many roses and carnations you still are in four bouquets of flowers​

Answers

Answer:

so i hope im understanding this. for every 1 bouqet there is 4 roses 6 white carnations so the amount of roses in total you will need for the 4 bouques is 16 and the amount of carnations is 24

Step-by-step explanation:

1 b= 4r an 6c   r= roses c=carnations

sooo                        4+4+4+4=16      6+6+6+6= 24

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

The answer is 873.17

Answers

Answer:

wat

Step-by-step explanation:

Answer:

To what exactly...?

Step-by-step explanation:

*20 POINTS*
i swear to GOD PLEASEEE HELP MEEEEEBEJEBKE I’LL GIVE BRAINLEST TO WHOEVER ANSWERS CORRECTLY FIRST

The function below has at least one rational zero. Use this fact to find ALL zeros of the function.

g(x)=5x^3+x^2-20^x-4

If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Answers

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

pls help asap!!!!!!!!!!!

Answers

Answer:

I can not see it well

Step-by-step explanation:

i don't see what your asking but thanxs for the points

i'll give you free point about 40 just look asap because people may snag it

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

$5200 at 7.36% for 54 months

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

Step-by-step explanation:

A)5200*54/12*7.36/100=5440.44

b)5200+5440.4410,640.44

Answer:

a. $1722.24 b. $6922.24

Step-by-step explanation:

for a: 5200*0.0736*54/12= 1722.24

for b: 1722.24+5200= 6922.24

I NEED HELP ASAPPPPPPPPPPPPPPPPPPP

Answers

So a median is is the middel of all numbers
So since 1 to 6 , the middle is 4
And represents 46 and 49
There’s 13 number and if you count , it would be 46, so 46 is the median.
Plz give me branliest thank you

Need help ASAP
Will mark you brainlist

Answers

The correct answer is y=5/6+4
Y = 5/6x + 4

5/6 is the slope and 4 is the y-intercept

Dario borrows $12,000 to buy a car. He borrows the money at a yearly, or annual, simple interest rate of 4.2%. How much more interest will Dario owe if he borrows the money for 5 years instead of 1 year?
ITS URGENT HURRY!!!!!

Answers

Answer:

$2016 more

Step-by-step explanation:

Borrowed amount = $12000Interest rate = 4.2% per year simple

Interest in 1 year:

$12000*4.2/100 = $504

Interest in 5 years:

$12000*4.2*5/100 = $2520

The difference between 1-year interest and 5-year interest:

$2520 - $504 = $2016

Ayana received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded 20 songs and 3 movies, which cost a total of $73. Using another, she purchased 5 songs and 17 movies, which cost a total of $197. How much does each download cost?

Answers

20s + 3m = 73

5s + 17m = 197

Eliminate s terms: Multiply second equation by -4, then add to first equation:

-20s - 68m = -788

 20s + 3m = 73

—————————-

-65m = -715

m = (-715)/(-65) = 11

20s + 3(11) = 73

20s = 40

s = 2

A movie download costs $11. A song download costs $2

Students running a food drive have collected their goal amount of canned goods. Over the weekend, volunteers collect an additional 18% of the goal. Write an expression to represent the total percentage of their goal collected in two different ways.

Answers

Answer:

[tex]Expression = x + 18x\%[/tex]

[tex]Expression = 1.18x[/tex]

Step-by-step explanation:

Given

Represent their goal with x

Additional = 18%

Required

Write two expressions to describe the total percentage

The expression is derived using:

[tex]Expression = Goal + Additional[/tex]

This gives:

[tex]Expression = x + 18\% * x[/tex]

[tex]Expression = x + 18x\%[/tex]

Solving further (Express percentage as decimal)

[tex]Expression = x + 0.18x[/tex]

[tex]Expression = 1.18x[/tex]

pythagorean theorem. and I need to calculate the missing sides. If possible I would like an explanation but an answer is also fine.​

Answers

Answer:

Step-by-step explanation:

To calculate the missing sides square the  side length of the legs of the  triangles(  the lines that form a 90 degree angle) then add them together, then take the sqr root of that to find the hypotunse( the slanted side). In simplier terms, here how it look.

[tex]a^{2}+b^{2} =c^{2}[/tex]

where a and b are the legs, and c is the hypotunese.   For example, Ill do 3. The bases are 22, and 11 so plug them in the equations.

[tex]a^{2}+b^{2} =c^{2}[/tex]

11^2+22^2=c^2

121+484=c^2

605=c^2

c=about 24.6

Other Questions
Jack (69) and Kendra (67) are married and will file a joint return. During the year, Jack received $9,000 in social security benefits, and Kendra received $28,000 in benefits. In addition, the couple earned $2,000 in interest income, and Jack, a retired military officer, received pension benefits totaling $73,000. How much, if any, of the couple's social security benefits are taxable Is (8, 8) a solution to the equation y = X?Yes or No ? Plz help me will mark brainliest What are the genotypes of the parents represented in this Punnett square? CBA5 - 10th Grade World HistoryWe the People of the United States, in order to form a more perfect Union...do ordain andestablish this Constitution for the United States of America- Preamble to the US ConstitutionWhich of the following ideas of the American Revolution is evident in the quote above?Apopular sovereigntyBseparation of powerslibertyDchecks and balances Which verb or verb phrase signals an inappropriate shift in mood? I think Daniel should become a plumber. He would be able to own his own business. He might even hire others to work for him someday. As a plumber, he could make a lot of money. He could help out his friends and family with plumbing problems. Will you give us a discount on plumbing work, Daniel? A. could help out B. should become C. Will you give D. would be able to own Part DSimplify the inequality obtained in part iii.i cant post a pic cause it wont let me HELP GEOMETRY PROOFS Raynor earns $4 in rewards for every $75 he spends at the grocery store . If he earned $44 in rewards last month, how much did he spend at the store How did segregation become the key issue in the Plessy v. Ferguson case? How does latitude influence climate? What formed through longshore drift? Which type of volcano has steep angled sides, throws blobs of lava in the air that fall as cinders, and is built over a short period of time?Cinder cone CompositeLava dome Pls help Im failing math Ill brainlest Which process transfers pollen from the male reproductive structures to the female reproductive structures? futuro de las artes redaccion Help me please asap Simplify:(8x - 5) + (-2x + 7)A. 6x + 2B. 6x - 12C 6x + 12D. 10x - 12E 10x + 2 which of the following is not proportiol 1/4=3/12 8/6= 20/15 2/4 = 3/6 4/10 = 12/20 _1. Nuclear a.energy associated with moving objects or objects that could move later_2. Gravitational b. energy from waves such as light, radio, x-rays _3. Elastic c. energy associated with heat_4. Chemical d. energy associated with moving electrons and magnetism_5. Thermal e. energy stored in the nucleus of an atom _6. Sound f. energy stored in chemical bonds _7. Radiant/Light g. energy an object has because of its height above ground 8. Electromagnetic h. energy associated with vibrating air particles wiggling your eardrum _9. Mechanical i. energy stored in a stretched or pressed objectNeed help asap someone help me match the letters to the right vocabulary