help. If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?

Answers

Answer 1

Answer: 29 cans.

Step-by-step explanation:

20 can survive 24 days with 15 cans.

If X is the number of days that a man can survive with one can of rations.

so X is in the units can/day

then we have that:

24/15*X = 20

X = 20*15/24 = 12.5

This means that a man can live 12.5 days with a can of food.

then, for 16 men and 36 days we have:

(36/C)*12.5 = 16

C = (36/16)*12.5 = 28.1215

And we can not have a 0.1215 of a can, so we should round it up to 29 cans.


Related Questions

Put these fractions in order from least to greatest. 3/12 1/6 2/3

Answers

Answer:1

1/6 3/12 2/3

Step-by-step explanation:

3/12 = 2/6

2/3 = 4/6

1/6<2/6<2/3

Answer:

The answer is 3/12 1/6 2/3

Step-by-step explanation:

The reason why is because the denominator is larger than the rest. The larger the denominator the smaller the number. For example: 2/13 is less than 4/6 because the denominator is bigger. Now if it were 6/12 and 1/2 it would be equal since 6 is half of 12. Hope this helped!

A recent poll of 2000 randomly selected 18-25-year-olds revealed that 232 currently use marijuana or hashish. According to a publication, 12.5 % of 18-25-year-olds were current users of marijuana or hashish in 1997.
a) Do the data provide sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%? Use α=0.05 significance level.

Answers

Answer:

[tex]z=\frac{0.116 -0.125}{\sqrt{\frac{0.125(1-0.125)}{2000}}}=-1.217[/tex]  

We are conducting a bilateral test then the p value would is:  

[tex]p_v =2*P(z<-1.217)=0.224[/tex]  

Since the p value obtained is higher than the significance level used of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%

Step-by-step explanation:

Information given

n=2000 represent the random sample of people

X=232 represent the people between 18-25-year-old who currently use marijuana or hashish

[tex]\hat p=\frac{232}{2000}=0.116[/tex] estimated proportion of people between 18-25-year-old who currently use marijuana or hashish

[tex]p_o=0.125[/tex] is the value that we want to verify

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%.:  

Null hypothesis:[tex]p=0.125[/tex]  

Alternative hypothesis:[tex]p \neq 0.125[/tex]  

The statistic for a proportion z test is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing into the previous formula we got:

[tex]z=\frac{0.116 -0.125}{\sqrt{\frac{0.125(1-0.125)}{2000}}}=-1.217[/tex]  

P value

We are conducting a bilateral test then the p value would is:  

[tex]p_v =2*P(z<-1.217)=0.224[/tex]  

Since the p value obtained is higher than the significance level used of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%

Final answer:

After conducting a statistical hypothesis test using the given data, and the chosen significance level of 0.05, there isn't enough evidence to conclude that the percentage of 18-25-year-olds who are using marijuana or hashish has significantly changed from the 1997 percentage.

Explanation:

The subject question concerns a statistical hypothesis testing problem, where we are testing if the proportion of 18-25 year-olds currently using marijuana or hashish is significantly different from the 1997 figure (p0=0.125). Let's denote the current proportion as p1. The null hypothesis H0: p1=p0, and the alternative hypothesis Ha: p1≠p0. The value obtained in the survey is 232/2000 (p1=0.116).

We will use a z-test for the difference of proportions here, using the formula: z = (p1- p0) / sqrt(p0(1 - p0) / n). On computation, we get z =approx -1.58.

The desired significance level is α = 0.05, a two-sided test. The critical z values for this are -1.96 and 1.96. Since -1.96 < z <1.96, we do not reject the null hypothesis at the 0.05 level of significance. This means that, according to our analysis, there is not enough evidence to conclude that the proportion of 18-25 year-olds using marijuana and hashish has significantly changed compared to the 1997 level.

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Convert 65L into quarts

Answers

Answer:

68.68

Step-by-step explanation:

for an approximate result, multiply the volume value by 1.057

68.6847 liquid quart

(1) Let T: Rn--->Rm be linear tranformations.

a. If T maps Rnonto Rm, give a relationship between m and n

b. If T is one-to-one, give a relationship between m and n

c. If T maps Rn onto Rm and is one-to-one, give a relationship between m and n

(Hint: Think about the size of the standard matrix representation of T and the placement of the pivots in each case)

(2) Let T: R3 ---> R4 be a linear transformation such that the only solution to T(x) = 0 is trivial solution.

a. If T is one-to-one

b. Does T map R3onto R4?

Justify your answers in each case.

(Hint:one way to approach this is to look at what the martix representation of T might look like and where it does or does not have pivots.)

(3) Suppose a linear transformation T: R2----> R2 is formed by taking a rotation counterclockwise of 90 degrees, follwed by a reflection through the X2-axis. Describe the points that will be moved back to their original position by this transformation?

(Hint: Think about what T will do to the unit box and the vectors e1 and e2)

Answers

Answer:

Check the explanation

Step-by-step explanation:

1.

(a)

n>=m

(b)

n <= m

(c)

n=m

2.

(a)

let T(v1) = T(v2)

=>

T(v1)-T(v2) = 0

=>

T(v1-v2) = 0

=>

v1-v2 = 0 from the hypothesis

=>

v1=v2

=>

T is one-one

thus proved

(b)

lets assume T is onto, we already know that T is one-one, so from above problem (third case where m=n)

we should have 3=4 which is impossible

so T is NOT onto.

3.

we need to find a,b such that

T(a,b) =(a,b)

=>

a= b

=>

points on the line x=y are the required points

Helpp!!Angles, degrees and, radians​

Answers

Answer:

co-terminalreference90°, 105°2π, 7π/4

Step-by-step explanation:

For an explanation of vocabulary questions, consult a dictionary or vocabulary list

1) angles ending in the same place are "co-terminal."

__

2) The acute angle between the terminal ray and the x-axis is the "reference angle."

__

3) Multiply radians by 180°/π to convert to degrees.

  a) π/2 × 180°/π = 180°/2 = 90°

  b) 7π/12 × 180°/π = (7/12)(180°) = 105°

__

4) To convert from degrees to radians, multiply by π/180°.

  a) 360° × π/180° = radians

  b) 315° × π/180° = 7π/4 radians

A point is on a circle of the distance form the center from the center of the circle to the the point is equal to the

Answers

Answer:

C. Radius

Step-by-step explanation:

Have a good day!

What factor is used to convert miles per minute to
miles per hour?

Answers

Answer:

The factor which is used to convert feet per minute into miles per minute is:

                        1 ft per minute=0.000189 miles per minute.

( since,  1 ft.= 0.000189 miles )

Step-by-step explanation:

What is the degree and the polynomial term?

Answers

Answer:

choice A is the best   2nd degree, trinomial

Step-by-step explanation:

-x^2 +3x - 4

has 3 unique terms which make it a trinomial

The highest degree is 2 since the the highest valued exponent is 2

Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, and treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?
ABC,
ABC, BAC, CBA
AAA, BBB, CCC
ABC, ACB, BCA, BAC, CAB, CBA

Answers

Answer:

The answer is D.

Step-by-step explanation:

I got it right on the test.

Using the arrangements formula, it is found that the 6 possible outcomes for the event are given as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are three students, hence the number of outcomes in given by:

[tex]A_3 = 3! = 6[/tex]

And the outcomes are as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

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a=40 c=41 what does b equal

Answers

considering this is a pythagorean theorem question (a^2+b^2=c^2)

then we can plug this in.

40^2+b^2=41^2

1600+b^2=1681 (subtract 1600 from both sides to isolate b)

b^2=81  (square root)

b=9

B=9
Reason: I took this already

Leon correctly found the slope and y-intercept of the line that passes through the points (9, -8) and (3, 4) as follows
m-
-8-4 -12
9-3 6
-2.
y=-2x+b
-8--2(9)+D
-8--18+ b
10-
What is the equation of the line in slope-intercept form?
O y--2x+10
O y = 2x+10
Oy - 10x-2
O y = 10x+2

Answers

Y= -2x+10

4-(-8/3-9= -2(slope)

leaving the first option as the only viable one.

The equation of line passing through point  (9, -8) and (3, 4) : y=-2x+10

The correct option is A

Given, that line passes through points (9, -8) and (3, 4).

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope(m) =change in value of y on the vertical axis / change in value of x on the horizontal axis

Change in the value of [tex]y = y_2 - y_1[/tex]

Change in value of [tex]x = x_2 -x_1[/tex]

[tex]y_2[/tex] = final value of y

[tex]y_1[/tex] = initial value of y

[tex]x_2[/tex] = final value of x

[tex]x_1[/tex] = initial value of x

The line passes through (9,-8) and (3,4),

[tex]y_2[/tex] = 4

[tex]y_1[/tex] = - 8

[tex]x_2[/tex] = 3

[tex]x_1[/tex] = 9

Slope(m) = (4 + 8)/(3 - 9)

= 12/(- 6)

= -2

To determine the intercept, we would substitute x = 9, y = - 8 and m= - 2 into y = mx + c. It becomes

- 8 = - 2 × 9 + c = - 18 + c

c = - 8 + 18 = 10

The equation becomes

y = - 2x + 10

The correct option is A.

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Cassie is climbing the stairs at a hotel. The base of the stairs is located at an altitude of 33 feet, and she ascends the stairs at a rate of 15 inches per
second. Josiah is descending from the top floor of the hotel in an elevator. He descends from 210 feet at a rate of 17.6 feet per second. Cassie begins
climbing the stairs at the same time Josiah begins descending in the elevator.
Which system of equations represents the number of seconds, x, it will take for Cassie and Josiah to be at the same altitude, y, in feet

Answers

Final answer:

The two equations expressing altitude y as a function of time in seconds x for Cassie and Josiah respectively are: y = 33 + 1.25x and y = 210 - 17.6x.

Explanation:

The subject of this problem is linear equations in algebra. We set up two equations to represent the altitude changes of Cassie and Josiah over time.

Firstly, Cassie is ascending from a base level of 33 feet at a rate of 15 inches per second. However, the rate needs to be converted to feet per second because the initial altitude and the altitude Josiah is descending from are both in feet. So, 15 inches equals 1.25 feet (since 1 foot = 12 inches). Therefore, the altitude y Cassie reaches after x seconds can be represented as y = 33 + 1.25x.

Secondly, Josiah is descending from an altitude of 210 feet at a rate of 17.6 feet per second. Thus, the altitude y reached over x seconds can be given by y = 210 - 17.6x.

The system of equations therefore is:

y = 33 + 1.25xy = 210 - 17.6x

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We need to compare volatility of multiple assets. As the assets have different variation ranges, e.g. a big stock versus a penny stock, it is useful to look at the coefficient of variation, not the standard deviation, as a measure of volatility. We have the following population data: Mean ($) 0.48 175.93 286.47 Standard deviation ($) 0.09 34.72 63.08 (a)[2] Give an equation for the coefficient of variation in percentage terms. (b)[6] Find volatility of the three assets. Use two decimals for percentages, e.g. 23.76%. (c)[2] Which asset is the least volatile? Which asset is the most volatile?

Answers

Answer:

Check the explanation

Step-by-step explanation:

a)

the formula is given by,

c.v.=[tex]\frac{\sigma}{\mu}\times 100[/tex]

where is standard deviation and is mean of the given data.

b)for asse A,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 0.03 5 , 100 0,30 x 0.30 = 10%

for asse B,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 1.50 x 100 26005 × 100 =8.27 %

for asset C,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 18.70 × 100 =10.71%

c)since, c.v. of asset B is least, it is least volatile and c.v. of asset is most, it is most volatile.

what is the volume of a square pyramid with base edges 24 feet and slant height 37

7140 ft^3

6950 ft^3

6720 ft^3

7268 ft^3​

Answers

Final answer:

The volume of a square pyramid with base edges of 24 feet and a slant height of 377268 feet is 74,182,973,440 cubic feet.

Explanation:

The volume of a square pyramid can be found using the formula: volume = (1/3) * base area * height. In this case, the base of the pyramid is a square with edges measuring 24 feet, so the base area is

= 24 * 24

= 576 square feet.

The slant height of the pyramid is given as 377268 ft^3, but the units should be in feet, not ft^3, as ft^3 represents volume. Therefore, it is likely a typo.

Assuming the slant height is actually 377268 feet, we can use the Pythagorean theorem to find the height of the pyramid.

The height is given by

[tex]h = \sqrt{(slant height^2 - (base edge/2)^2)[/tex]

[tex]= \sqrt{(377268^2 - (24/2)^2)[/tex]

[tex]= \sqrt{(142288127824 - 144)[/tex]

= 377268 feet.

Now we can calculate the volume using the formula: volume

= (1/3) * 576 * 377268

= 74,182,973,440 cubic feet.

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Connor earned $85 at his job when he worked for 10 hours. What was his hourly pay rate in dollars per hour?

Answers

Answer:

8.5$

Step-by-step explanation:

85 diveded by 10 is 8.5$.

Answer:

Connor's hourly pay rate is $8.50

Step-by-step explanation:

Think of it as finding the unit rate.

hours : dollars

     10 : 85

       1 : ?

Since you must divide by 10 to get from 10 to 1, you must do the same for the other side, so you do 85 divided by 10.

85 / 10 = 8.5

Therefore, Connor's hourly pay rate is $8.50.

Add the following numbers together: 80, 85, 90, 65, 80, 60

Answers

Answer:

Adding all the numbers together results in 460

Answer:

460 is the answer

Step-by-step explanation:

This amount of chill is _ times the amount of cream cheese

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

A bookstore marks up the price of a book by 25% of the cost from the publisher. Therefore, the
bookstore's price to the student, P(x) (in $) after a 5.3% sales tax, is given by P(x) = 1.053(x+0.25x),
where x is the cost from the publisher. Evaluate P(60) and interpret the meaning in context of this
problem. (Round to the nearest cent.)

P(60) = 78.98
When the bookstore spends $60 on a textbook, the student pays $78.98

P(60) = 78.98
When the bookstore pays $78.98 on a textbook, the student pays $60

P(60) = 47.39
When the bookstore pays $47.39 on a textbook, the student pays $60

P(60) = $47.39
The sales tax on a $60 textbook is $47.39

P(60) = 78.98
The sales tax on a $60 textbook is $78.98

P(60) = 47.39
When the bookstore pays $60 on a textbook, the student pays $47.39

Answers

Answer:

(A)

P(60) = 78.98 When the bookstore spends $60 on a textbook, the student pays $78.98

Step-by-step explanation:

Given:

P(x) = 1.053(x+0.25x)

P(60) = 1.053(60+0.25*60)

=1.053(60+15)

=1.053(75)

P(60)=$78.98

Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.

The correct option is A.

Final answer:

The price of the book to the student is $78.98 when the bookstore spends $60 on the textbook.

Explanation:

The subject of this question is Mathematics and it is suitable for High School students.

The problem involves calculating the price of a book after a markup and sales tax.

To evaluate P(60), we substitute x = 60 into the given expression P(x) = 1.053(x+0.25x).

P(60) = 1.053(60 + 0.25*60) = 1.053(60 + 15) = 1.053(75) = 78.975.

The bookstore's price to the student would be $78.98 when the bookstore spends $60 on a textbook.

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A Cell Phone company sells cellular phones and airtime in a State. At a recent meeting, the marketing manager states that the average age of the customers is 40 years. Before actually completing the advertising plan, it was decided to select a random sample of customers. Among the questions asked in the survey of 50 customers was the customer’s ages. The mean and the standard deviation of the data based on the survey are 38 years and 7 years. a. Formulate a hypothesis to test the marketing manager’s claim. b. Does the sample support manager’s claim. Test at 0.05 level of significance.

Answers

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=40\\\\H_a:\mu\neq 40[/tex]

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=50-1=49[/tex]

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=2\cdot P(t<-2.02)=0.049[/tex]

As the P-value (0.049) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

7-7(5+x)-9x in simplified​

Answers

Answer:

-28 - 16x

Step-by-step explanation:

7-7(5+x)-9x

Distribute

7 - 35 -7x -9x

Combine like terms

-28 - 16x

Suppose two players are playing a game, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously. If the pennies match (both heads or both tails), then Even keeps both pennies, so wins one from Odd ( 1 for Even, -1 for Odd). If the pennies do not match (one heads and one tails) Odd keeps both pennies, so receives one from Even (-1 for Even, 1 for Odd).
1. Please draw the payoff matrix for this game.
2. Does Even have a dominant strategy?

Answers

Answer:

1.  

E(down) / Odd(Across)     H                  T

H                                  (1,-1)        (-1,1)

T                                   (-1,1)        (1,-1)

2. Even doesn't have a dominant strategy as both the strategies are providing equal payoffs for pure strategy.

The display provided from technology available below results from using data for a smartphone​ carrier's data speeds at airports to test the claim that they are from a population having a mean less than 5.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Answers

Answer:

The null and alternative hypothesis are:

[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]

Test statistic t=-0.256

P-value = 0.4

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

Step-by-step explanation:

The question is incomplete:

Sample mean (M): 4.79

Sample STD (s): 5.8

Sample size (n): 50

This is a hypothesis test for the population mean.

The claim is that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=4.79.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=5.8.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{5.8}{\sqrt{50}}=0.82[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{4.79-5}{0.82}=\dfrac{-0.21}{0.82}=-0.256[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=50-1=49[/tex]

This test is a left-tailed test, with 49 degrees of freedom and t=-0.256, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t<-0.256)=0.4[/tex]

As the P-value (0.4) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

help pleaseeeeeeeeeeeeee

Answers

Answer:

x = 14

Step-by-step explanation:

If a^m = a^n, then m = n.

If two powers with equal bases are equal, then the exponents are equal.

8^(x - 4) = 8^10

x - 4 = 10

x = 14

Answer:

x = 14

Step-by-step explanation:

Looking at this problem, we see that both sides of the equation are equal. Since both numbers have the same base, this means that they must also have the same power to be equal to each other. This means:

x - 4 = 10

x = 10 + 4

x = 14

Question 5

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Mark purchased packages of hamburgers for $6.75 each and B packages of buns for $1.50 each. He purchased 18 items and spent $90. Which system of equations could be used to

determine how many of each item Mark purchased?

Answers

Answer:

[tex] B = \frac{31.5}{5.25}= 6[/tex]

[tex] H = 18-6= 12[/tex]

So then Mark purchased 12 Hamburgers and 6 packages of buns

Step-by-step explanation:

For this case we can define the following notation:

B represent the number of packages buns

H represent the number of hamburgers

And from the information given we can set up the conditions into the following equations:

[tex] 6.75 H +1.50 B =90[/tex]  (1) represent the total cost

[tex] H +B =18[/tex]  (2) represent the total number of items

Solving H from equation (2) we got:

[tex] H = 18 -B [/tex]   (3)

And replacing equation (3) into equation (1) we got:

[tex] 6.75 (18-B) +1.5 B =90[/tex]

And dsitributing the terms we have:

[tex] 121.5 -6.75 B +1.5 B =90[/tex]

And solving for B we got:

[tex] 121.5-90 = 5.25 B[/tex]

And dividing by 5.25 we got:

[tex] B = \frac{31.5}{5.25}= 6[/tex]

And replacing the value of B into equation (3) we got:

[tex] H = 18-6= 12[/tex]

So then Mark purchased 12 Hamburgers and 6 packages of buns

Let X and Y again be uniformly distributed independent random variables on [0, 1]. a) Compute the expected value E(XY ). b) What is the probability density function fZ(z) of Z = XY ? Hint: First compute the cumulative distribution function FZ(z) = P(Z ≤ z) using a double integral, and then differentiate in z. c) Use your answer to b) to compute E(Z). Compare it with your answer to a)

Answers

Answer:

a) Computing the expected value E(XY) gives 1/4

b) The probability density function fZ(z) of Z = XY is calculated in the attached picture.

c) Computing E(Z) gives 1/4

Step-by-step explanation:

Comparing the computation of E(Z) using the answer to b), it shows that the values are equal.

Ri’Hanna has n nickels. Shania has 4 times as many nickels as Ri’Hanna has. Write an expression for the total number of nickels Ri’Hanna and Shania have. SImplify the Expression.

Answers

Answer:

5n

Step-by-step explanation:

i think

Final answer:

To find the total number of nickels Ri’Hanna and Shania have together, add the number of nickels Ri’Hanna has (n) and the number of nickels Shania has (4n). The simplified expression is 5n.

Explanation:

Ri’Hanna has n nickels, and Shania has 4 times that amount. This could be represented by the expression 4n. To calculate the total number of nickels they have together, you add the amount of nickels Ri’Hanna has (n) and the amount Shania has (4n). So, the expression representing the total nickels is n + 4n. When you add n + 4n, it simplifies to 5n.

Learn more about Algebraic Expression here:

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how do you solve literal eqations

Answers

Answer: When given a literal equation, you will often be asked to solve the equation for a

given variable. The goal is to isolate that given variable. The process is the same

process that you use to solve linear equations; the only difference is that you will

be working with a lot more letters, and you may not be able to simplify as much as

you can with linear equations. This packet will hopefully show you the process in a

simple manner so that you will be able to solve literal equations yourself.

Step-by-step explanation:

Graph the system of equations on your graph paper to answer the question. {y=−x+3 y=x+5 What is the solution for this system of equations? Enter your answer in the boxes.

Answers

Answer:

(x,y) = (-1,4)

Step-by-step explanation:

y = y right? So all you have to do is replace both of the equations.

[tex]-x+3=x+5\\-x-x=5-3\\-2x=2\\x=-1[/tex]

after you've found the value of x just substitute it into ANY of these two equations!

For example if we get the first one we have

[tex]y=-(-1)+3\\y=1+3\\y=4[/tex]

And there you have it. Hope it helps!

Assume that the volume of air in an average adult’s lung follows a transformed sine function, as function of time t in seconds,
V (t) = A + B sin(ωt)
Below is a table of measurements of the volume. Identify constants A, B, and ω so that the function above fits these measurements. After 12 seconds, the measurements will repeat.
t - 0 3 6 9 12
V(t) - 7 9 7 5 7

Answers

Answer:

Step-by-step explanation:

Given that,

v(t) = A + B•sin(ωt)

Then,

When t = 0 v(t)= 7

7 = A + B•Sin(ω×0)

7 = A + B•Sin0

7 = A

Then,

A = 7

v = 7 + B•sin(ωt)

So,

When t = 3, v(t) = 9

v = A + B•sin(ωt)

9 = 7 + B•Sin(3w)

9-7 = B•sin(3ω)

B•sin(3w) = 2. Equation 1

Also, at t = 6 v(t) = 7, at this point, when it returns back to7, it has complete one oscillation

v = A + B•sin(ωt)

7 = 7 + B•Sin(6w)

7-7 = B•sin(6ω)

B•sin(6w) = 0

Sin(6w) = 0 / B

Sin(6w) = 0

Take arcsin of both sides

6w = Sin~1(0)

6w = π, since it has complete one oscillation

Then, w = π /6

w = π/6

Then,

v(t) = 7 + B•Sin(πt/6)

From equation 1

B•sin(3w) = 2.

B•Sin(3 × π/6) = 2

B•Sin(½π) = 2

B = 2

Then,

v(t) = A + B•sin(ωt)

A = 7, B = 2 and w = π/6

v(t) = 7 + 2•sin(πt/6)

round 974657 to the nearest ten thousand

Answers

Answer:

970000

Step-by-step explanation:

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