Mathematics College

(08.06 MC) Carly and Janiya put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below: Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? (1 point) 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340

Answers

Answer 1
For this case we have the following equations:
 y = 60x + 40
 y = 50x + 80
 Equaling both equations we have:
 60x + 40 = 50x + 80
 From here, we clear the value of x:
 60x - 50x = 80 - 40
 10x = 40
 x = 40/10
 x = 4 weeks
 Substituting x = 4 in any of the equations we have:
 y = 60 (4) + 40
 y = 240 + 40
 y = 280 $
 Answer:
 $ 280 4 weeks
Answer 2

Answer:

$ 280 4 weeks

Step-by-step explanation:

Related Questions

To prepare for the party, the host made a large batch of punch. The recipe makes 8 gallons of punch. How many cups of punch can be served from this batch?

A. 24
B. 128
C. 64

Answers

B- 128 cups of punch from this batch

(a) [5 points] using only the definition, find the laplace transform y (s) of y(t) = e a t where a is a constant. for what values of s does the laplace transform y (s) exist? (b) [10 points] solve, using laplace transforms, the initial value problem: y 00 − 4y 0 + 4y = 3, y(0) = 0, y0 (0) = 1.

Answers

Find the Laplace transform y (s) of y (t) = e a t. Here, a is a constant. Which value of s exists for the Laplace transform y (s)? (0) = 0, y 0 (0) = 0, y (0) = 0,

determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

Answers

[tex]\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=5\\ r=2\\ n=7 \end{cases} \\\\\\ a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320[/tex]

The 7th term of the geometric sequence with the first term being 5 and a common ratio of 2 is calculated using the formula Tn = [tex]a * r^{n-1}[/tex]. The 7th term is found to be 320.

The question asks us to determine the 7th term in a geometric sequence where the first term is 5 and the common ratio is 2. The formula for the nth term of a geometric sequence is given by
Tn = [tex]a * r^{n-1}[/tex], where Tn is the nth term, a is the first term, r is the common ratio, and n is the term number. Substituting the given values into the formula, we can find the 7th term as follows:
T7 = [tex]5 * 2^{(7-1)}[/tex] = 5 * 2⁶ = 5 * 64 = 320. Hence, the 7th term of the geometric sequence is 320.

can someone help me!!!

Answers

let s the side of fabric square and A area of fabric square:

s=√A

s=√2940

s1= 54.22

s 2= √62

s2= 7.9

e is correct

Suppose that $2000 is invested at a rate of 2.1% compounded annually. Assuming that no withdrawals are made find the total amount after 5 years. Do not round any intermediate computations, and round your answer to nearest cent.

Answers

Amount=investment (1+rate)^(time)
Amount=2,000×(1+0.021)^(5)=2,219
First you have to multiply 2000 by 5 to get 10000. Then you change 2.1% to 0.021. You then Divide 10000 by 0.021 to get 476,190.47619047. Round that to get 476,190.5.

Find the measure of the central angle that you would draw to represent 67% in a circle graft round your answer to the nearest degree

Answers

For this case we have the following rule of three:
 360 degrees ----> 100%
 x -----------------> 67%
 Clearing x we have:
 x = (67/100) * (360)
 x = 241.2 degrees:
 round to the nearest degree
 x = 241 degrees
 Answer:
 the measure of the central angle that you would draw to represent 67% in a circle graft is:
 x = 241 degrees
if 360 degrees is 100%

then, 67% of 360 degrees is equal to 241.2 degrees

Use the drop-down menus to identify the method used to collect data for each scenario. Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years. Mia asked 20 random students at her school how many hours they spend on the computer each day. Beatriz recorded the number of customers entering a store for each hour interval.

Answers

The answers are published data, survey, and observational study in that order on elearning for anyone still wondering.

Answer:


Step-by-step explanation:

Given:

1) Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years.

Published data - Already recorded data used

2)  Mia asked 20 random students at her school how many hours they spend on the computer each day.

Survey by Random sampling -- since a small size of whole population selected at random

3) Beatriz recorded the number of customers entering a store for each hour interval.

This is observational data because data was collected after really observing and recording the number of customers entering a store for each hour interval.

Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?

Answers

Helen is 16 and Jane is 8

Let the age of the Jane be [tex] x [/tex]

So age of Helen =  [tex] x [/tex] + 8

Twenty years ago,

Age of Jane = [tex] x [/tex] - 20

And age of Helen = [tex] x [/tex] + 8 - 20 = [tex] x [/tex] - 12

Helen was three times as old as Jane

[tex] x [/tex] - 12 = 3 ([tex] x [/tex] - 20)

[tex] x [/tex] - 12 = 3 [tex] x [/tex] - 60

Add - 3[tex] x [/tex] on both sides,

[tex] x [/tex] - 3 [tex] x [/tex] - 12 = 3 [tex] x [/tex] - 3 [tex] x [/tex] - 60

-2[tex] x [/tex] - 12 = - 60

Add  12 on both sides

-2[tex] x [/tex] - 12  + 12 = - 60 + 12

-2[tex] x [/tex] = - 48

Divide both side by -2

[tex] \frac{-2x}{-2}=\frac{-48}{-2} [/tex]

[tex] x [/tex] = 24

Age of Jane = 24 yrs

Age of Helen = 32 yrs



The lengths of infants at birth in a certain hospital are normally distributed with a mean of 18 inches and a standard deviation of 2.2 inches. find the probability that an infant selected at random from this hospital measures between 16 and 21 inches.

Answers

Mean, m = 18 in
Standard deviation, SD = 2.2 in
Range: 16 ≤ X ≤ 21 in

Calculating Z value,
Z = (X-m)/SD

Then,
Z1 = (16-18)/2.2 ≈ -0.91
Z2 = (21-18)/2.2 ≈ 1.36
From Z table, and at Z1 = -0.91, and Z2 = 1.36;
P(16) = 0.1814
P(21) = 0.9131

Therefore,
P(16≤X≤21) = 0.9131 - 0.1814 = 0.7317
The probability that a child selected randomly measures between 16 and 21 in is 0.7317.

express 0.41 as a fraction in simplest form

Answers

Hola Amigo!!




Your answer would be 44/100






Hope that helps!!!

Express 0.41 as a fraction in the simplest form will be 41/100.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The number is 0.41.

Then express 0.41 as a fraction in the simplest form will be

⇒ 0.41

Multiply and divide by 100. Then we have

⇒ 0.41 x 100 / 100

⇒ 41 / 100

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

A plane left Chicago at 8 A.M. At 12 P.M., the plane landed in Los Angeles, which is 1,700 miles away.

If the plane travels at a constant rate, how many miles did it travel per hour?


Answers

first find the amount of time:
 12 pm - 8 am = 4 hours

now divide the total miles traveled by the amount of time travleed:

1700 miles / 4 hours = 425 miles per hour

hey can you please help me posted picture of question

Answers

The appropriate selection is ...
  D. x

_____
This is the purpose and meaning of an inverse function. Using inverse functions is the way we solve equations involving functions. They "undo" the effect of the function.
The answer is D. x

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. I.e., f(x) = y if and only if g(y) = x.





dose any one know these 4 answer i am raly struggling and i need the help asap

Answers

I can help.

Remember that the equation for circumference is 2(pi)(r). For the first question, we are given the circumference, 235.5 cm. So, we can reverse this equation to find the radius, so 235.5=2(pi)(r). We divide 235.5 by 2 to get 117.25, and then divide it by pi to get approximately 37.5 cm. Now we multiply by 2 to find the diameter since d=2r, and the diameter is about 75 cm, or D.

We can do the same thing for the second question, so 141.3=2(pi)(r), or 70.65=(pi)(r). Dividing this by pi results in r=22.5 ft, D. again.

Now we can do the same for the third question, and make the equation 47.1=2(pi)(r), or 23.55=(pi)(r). Now divide by pi and get r=7.5. Multiplying this by 2 for diameter yields 15 in, or B.

For the last problem, you do 157=2(pi)(r), or 78.5=(pi)(r). Dividing 78.5/pi=25. So, r=25 m, or A.

Hope this helps!


how will the volume of the pyramid change if each side is multiplied by a factor of 1/2

Answers

we know that
[volume of a original cone]=(1/3)*pi*r²*h

[volume of a dilated cone]=(1/3)*pi*(r/2)²*(h/2)--->(1/8)* [(1/3)*pi*r²*h]
so
[volume of a dilated cone]=(1/8)* [volume of a original cone]

the answer is
the volume of the cone will be reduced one eighth

hey can you please help me posted picture of question

Answers

The correct answer is option D

The solution is shown below:

[tex] x^{2} +16 \\ \\ = x^{2} +(4)^{2} \\ \\ = x^{2} -(-1)(4)^{2} \\ \\ = x^{2} -i^{2} (4)^{2} \\ \\ = x^{2} -(4i)^{2} \\ \\ =(x+4i)(x-4i) [/tex]

What is the complete factorization of r2 - 6r - 9s2 + 9? A) (r - 3 + 3s)(r - 3 - 3s) B) (r + 3 + 3s)(r - 3 - 3s) C) (r - 3 + 3s)(r - 3 + 3s)

Answers

[tex]r^2-6r-9s^2+9=r^2-6r+9-9s^2=r^2-2\cdot r\cdot3+3^2-9s^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(r-3)^2-9s^2=(r-3)^2-(3s)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(r-3-3s)(r-3+3s)\to A[/tex]
Final answer:

We have factorized the expression 'r2 - 6r - 9s2 + 9' into (r - 3)^2 - (3s)^2 and then used the difference of squares formula to find the factorization as (r - 3 + 3s)(r - 3 - 3s). So the correct answer is option A)

Explanation:

The question asked for the complete factorization of the expression r2 - 6r - 9s2 + 9. To factorize this, we can rewrite it into the formula form of a perfect square, which is a^2 - 2ab + b^2 = (a - b)^2.

Our expression fits this form when a = r and b = 3s. Following this, we can rewrite the expression as (r - 3)^2 - (3s)^2 = (r - 3 + 3s)(r - 3 - 3s). Therefore, the correct answer is option A) (r - 3 + 3s)(r - 3 - 3s)

Learn more about Factorization here:

https://brainly.com/question/34290719

#SPJ3

Solve for y in terms of x.

2/3y - 4 = x


Please help . Time is critical for me in school rn

Answers

Answer:

[tex]y=\frac{3}{2}(x+4)[/tex]

Step-by-step explanation:

We are given

[tex]\frac{2}{3}y-4=x[/tex]

Since, we have to solve for y

so, we will isolate y on anyone side

Firstly, we add both sides by 4

[tex]\frac{2}{3}y-4+4=x+4[/tex]

[tex]\frac{2}{3}y=x+4[/tex]

Multiply both sides by 3

[tex]3\times \frac{2}{3}y=3\times(x+4)[/tex]

[tex]2y=3\times(x+4)[/tex]

now, we can divide both sides by 2

and we get

[tex]y=\frac{3}{2}(x+4)[/tex]

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. Let P(t), left parenthesis, t, right parenthesis denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula

Answers

Final answer:

The function's formula that represents the number of pages Naoya has left to read at time t would be P(t) = 570 - 55t.

Explanation:

From the information given we know that Naoya reads at a rate of 55 pages per hour. After 4 hours of reading, he still has 350 pages left to read. This means that before he started reading, he had (55 pages/hour * 4 hours + 350 pages) = 570 pages in total. Since he reads at constant rate, the function that describes the remaining pages to read would be P(t) = 570 - 55t, where t represents the time in hours and P(t) is the number of pages left to read.

Learn more about Writing functions for practical situations here:

https://brainly.com/question/33554757

#SPJ2

what is the diameter of a circle with a circumference of 30 pi inches

Answers

Circumference = πD 

30π = πD 

D = 30 inches

Answer: 30 inches
30 inches is the answer

The scale factor of the dilation of figure ABCD is?

Answers

2 is the scale factor of the dilation of figure ABCD

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The scale factor of a dilation is a number that represents how much a figure's size alters following a dilation. It is the ratio of similar sides' lengths in the original and dilated figures.

A figure is stretched or extended if the scale factor is larger than 1, and lowered or shrunk if it is less than 1. If the scale factor is 1, the dilation has no effect on the figure; if it is less than 1, the figure is reflected beyond the line of dilation.

The scale factor is represented by the symbol k, and its value may be determined using the formula below:

k = Length of the corresponding side in the dilated figure / Length of the corresponding side in the original figure.

On the given figure,

Before dilation the measurement of the side AD = 1 unit.

After dilation the measurement of the same side = 2 units

Thus, from the formula

k = 2/1

k=2

Therefore, The scale factor of the dilation of Figure ABCD is 2.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ3

What is the quotient? x-1/7x2-3x-9

Answers

The quotient of the expression (x - 1)/(7x² - 3x - 9) cannot be determined

How to determine the quotient of the expression

From the question, we have the following parameters that can be used in our computation:

(x - 1)/(7x² - 3x - 9)

From the above, we have

degree of the numerator = 1

degree of the denominator = 2

The degree of the numerator is less than the degree of the denominator

This implies that the quotient of the expression cannot be determined

hey can you please help me posted picture of question

Answers

For this case we have the following function:
 f (c) = (9/5) c + 32
 Substituting the value of c = 20 we have:
 f (20) = (9/5) (20) + 32
 Rewriting we have:
 f (20) = (9) (4) + 32
 f (20) = 36 + 32
 f (20) = 68
 Answer:
 The conversion for this case is given by:
 f (20) = 68
 option A

what is the slope of the line

Answers

slope = 4/1 = 4

hope it helps
Slope triangle is rise/run so count how many times it goes up (4) and how many times it goes to the right (or left if it is negative) so that is one. 

4/1= 4 

at the end of his shift, Bruno had $340 worth of tips all in $10 and $20 bills .if he had two more $20 bills than $10 bill .how many of each bill did Bruno have

Answers

Bruno had 10 bills for each if you don't count the 2 more $20 bills. If you want a complete number, bruno had 12 $20 dollar bills and 10 $10 bills

Find the coordinates of the image after a translation of the figure below using (x, y) (x + 3, y + 2).



A'(
a1,
a2)

B'(
a3,
a4)

C'(
a5,
a6)

D'(
a7,
a8)

Answers

The coordinates are

A(-4,-3) →A'(-1, -1)

B(-1, 1) → B'(2, 3)

C(3, 5) → C'(6, 7)

D(2,-5) → D'(5,-3)

Step-by-step explanation:

Given the graph of figure whose coordinates are

A(-4, -3), B(-1, 1), C(3, 5), D(2, -5)

We have to find the coordinates of the image after a translation using T(x, y) → (x + 3, y + 2).

Coordinates after translation are

A(-4,-3) → A'(-4+3, -3+2)=A'(-1, -1)

B(-1, 1) → B'(-1+3, 1+2)=B'(2, 3)

C(3, 5) → C'(3+3, 5+2)=C'(6, 7)

D(2,-5) → D'(2+3, -5+2)=D'(5,-3)

which are required coordinates of the image after a translation of the figure below using (x, y) → (x + 3, y + 2).

hope this helps :)

If the diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters, what is the approximate volume of the roll of pennies? Use 3.14 for π and round your answer to the nearest tenth.

Answers

we know that
[volume of the roll of pennies]=pi*r²*h
r=19.05/2-----> 9.525 mm
h=1.52 mm
[volume of the roll of pennies]=pi*(9.525)²*1.52---> 433.02 mm³----> 433 mm³

the answer is
433 mm³

Answer:

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Step-by-step explanation:

Given : diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters.

To find : volume of the roll of pennies.

Solution : We have given that

Diameter of a penny =  19.05 millimeters.

Width of each penny = 1.52 millimeters.

Volume of cylindrical roll of penny = pi * r² * h

Where, r = radius , h =height

Radius = [tex]\frac{Diameter}{2}[/tex]

Radius=   [tex]\frac{19.05}{2}[/tex].

Radius = 9.525 mm

Plugging the values of r , h and pi = 1.14.

Volume of cylindrical roll of penny = pi * r² * h

Volume of cylindrical roll of penny =3.14 * (9.525)² * 1.52

Volume of cylindrical roll of penny = 433.02 mm³

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Therefore, Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

A ____________ is a graph that uses adjacent rectangles to display frequencies, or relative frequencies, of quantitative data values. box-and-whisker plot histogram convenience sample mean absolute deviation

Answers

The correct answer is: Histogram

Explanation:
In simple terms histogram is a graph that consists of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval. It represents the distribution of the numerical data. Hence the correct answer is histogram as it conforms to the explanation about graph given in the question. 

The diameter of a small gear is 16cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger g!ear

Answers

The problem statement tells us ...
  16 cm = 2.5 cm + (1/4)*(large gear diameter)

We can subtract 2.5 cm and multiply by 4 to find the large gear diameter.
  13.5 cm = (1/4)*(large gear diameter)
  54 cm = (large gear diameter)

The diameter of the larger gear is 54 cm.

When paying off debts ,you should ___ .
A. pay the minimum
B.pay as much as possible
C.pay slightly more than the minimum
D.pay exactly half of what you owe

Answers

B: because you will have to pay an little more when u have the money
Answer:

B.pay as much as possible

Step-by-step explanation:

Debts are unpaid money that a person owes to its lenders. The lender can be any bank or any other financial institution or any person.

Long accumulated debts on banks, if not paid, can result in a person filing for bankruptcy. So, it is always good if you pay your debts on time.

Paying minimum or slightly more than minimum amount will result in paying more in the near future. It is possible that if you always pay minimum amount, you will not be able to clear debts anytime soon.

So, its best that if you have money, always pay as much as possible to get rid of your debt.  

what does 1/2x+30=55 equals?

Answers

Subtract 30 from both sides.

[tex] \frac{1}{2}x = 25 [/tex]

Multiply both sides by 2 to get x by itself.

[tex]x = 50[/tex]

The answer is x = 50.
1/2x+30=55
        -30   -30
1/2x=25
   *2    *2
x=50.
Other Questions
in 1865 how many buffalo roam the great plains? How did the defeat of the Spanish Armada make colonizing the New World easier? Spain was no longer able to send ships to sea. Spain's people left their colonial homes for Europe. Spain was less able to keep its land holdings secure. Spain was unable to enforce treaties with Native Americans. Which parenting style seems to promote high-achieving children? How do metaphors and extended metaphors differ? A plane traveling at a constant speed is able to travel 600 miles in 5 hours. how fast was the plane flying? a jogger runs around a 220 yard track in 125 seconds. what is the average speed in yards per second? Explain. What can modern nations learn from the Ming Dynasty? what is the median of this data set 17,42,53,97,102,82 In ________ a single sperm cell from the man is injected using a microscopic needle, directly into each harvested egg from the woman. the resulting zygote is then transferred after a few days into the woman's uterus Research on physical attractiveness has shown thata. men are more likely than women to make biased judgments of others based on physical appearance.b. most people disregard physical attractiveness when forming first impressions of people.c. judgments of women's personalities are affected by their physical attractiveness, but judgments of men's personalities are not.d. we tend to ascribe desirable personality characteristics to good-looking people. HELP FAST!!!!!!Moritz rescued his friend from a dangerous ocean rip current by pulling his friend from the water. Which activity most likely prepared him for this?enrolling in a class about swimming safetytaking a CPR training classwatching online shows about being a lifeguardtalking with friends who are lifeguards In the House, who has the power to lead the majority party caucus and control the agenda? choose an object that is the same length as a real baseball bat explain how to estimate its length in feet Find the quotient of 3/5 and 9/10 . Express your answer in simplest form. PLEASE HELP!!! BRAINLIEST! 20 POINTS!A rectangle has a width of 3 cm and a length of 10 cm.What is the effect on the perimeter when the dimensions are multiplied by 10? A) The perimeter is increased by a factor of 10. B) The perimeter is increased by a factor of 40. C) The perimeter is increased by a factor of 100. D) The perimeter is increased by a factor of 400.THANK YOU SO MUCH!!!! in hopes pf. finding a route to asia Read the excerpt from a book written by Enlightenment philosopher John Locke. Briefly summarize the passage and explain the impact these ideas had on countries around the world during the 18th and 19th centuries. Give specific examples of these ideas' impact in two different parts of the world."For no government can have a right to obedience from a people who have not freely consented to it; which they can never be supposed to do, till either they are put in a full state of liberty to choose their government and governors, or at least till they have such standing laws, to which they have by themselves or their representatives given their free consent, and also till they are allowed their due property, which is so to be proprietors of what they have, that no body can take away any part of it without their own consent, without which, men under any government are not in the state of freemen, but are direct slaves under the force of war." Consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. when omitting x2 from the regression, there will be omitted variable bias for modifyingabove beta with caret 1:a. if upper x 2 is measured in percentages.b. only if upper x 2 is a dummy variable.c. if upper x 1 and upper x 2 are correlated.d. always. Mother theresa was a selfless person who devoted her life to the wellbeing of others. according to gordon allport's trait theory, mother theresa's devotion and selflessness was: (1 point) Bill buys a red marble and a blue marble. If the total weight of 3 such red marbles and 2 such blue marbles is 84g, and the total weight of 12 such red marbles and 5 such blue marbles is 282g, what is weight of the red marble and the blue marble respectively?