Question 6 (1 point)


A food company is designing boxes for several products. Each box is a rectangular prism.


The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1. 2-ounce box. It


must contain 18. 75 ounces of cereal. What scale factor does the company need to use for the family size box? Explain or show your


reasoning

Answers

Answer 1

The company need to use for the family size box use a scale factor of 15.625 times greater.

Box Volume Scale Factor Calculation

To find the scale factor, we first need to determine the ratio of the volume of the family size box to the volume of the single serving box. The volume of a rectangular prism is given by the product of its length, width, and height. Let's assume the single serving box has dimensions l, w, and h. The volume of the single serving box is then lwh.

The volume of the family size box is 18.75 ounces, and since the single serving box is 1.2 ounces, the scale factor is the ratio of the volume of the family size box to the volume of the single serving box:

(18.75)/(1.2) = 15.625

Therefore, the company needs to use a scale factor of 15.625 to create the family size box from the single serving box. This means that the length, width, and height of the family size box will each be 15.625 times greater than the corresponding dimension of the single serving box.

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Related Questions

Which is a correct solution for the following system of Inequalities

HELPP DUE IN 30MIN

Which is a correct solution for the following system of InequalitiesHELPP DUE IN 30MIN

Answers

Answer:

I think the answer is A

1,2

Steps for sloving 6(4x-3)=30 are shown
6(4x-3)=30 oringal equation
24x-18=30 step 1
24x-18+18=30+18 step 2
24x=48 step 3
24x=48
24 24 step 4
x=2
which of these are not a part of the solution?

Answers

Answer:

da part wich iznot in da solution iz step 4

how many distinguishable orderings of the letters of millimicron contain the letters cr next to each other in order and also the letters on next to each other in order?

Answers

There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.

Total no. of letters = 11

Millimicron, dissecting will give us the following:

Number of m = 2

Number of i = 3

Number of l = 2

Number of c = 1

Number of n =1

Number of r = 1

Number of o = 1

o compute this by using permutation

total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]

= 39,916,800 ÷ 24

= 1,663,200 is the answer

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Jasim works in a restaurant.
The table shown gives his rates of pay.
Day
Mon to Fri
Weekend
Jasim worked for a total of 30 hours last week.
He worked 12 of these hours at the weekend.
Work out Jasim's pay for last week.
Rate of pay
£8.70 per hour
£10.80 per hour

Answers

From the given table's rate, Jasim's salary for a total of 30 hours worked last week is computed as £286.2.

What does a mathematical table of data mean?Utilizing rows and columns, tables are a handy tool for information organization. Tables are a flexible organizational tool that may be used to convey information on their own or in conjunction with other types of data display (like a graph).

Given:

Jasim worked 30 hours total last week.

On weekends, he worked 12 of these hours.

From the table given, we can find Jasim's pay for last week.

Number of hours worked by him from Monday to Friday = 30 -12 = 18 hours

His pay from Monday to Friday =  18 × 8.70

                                                    =  £156.6

His pay on weekend = 12 × 10.80

                                   = £129.6

Total pay of Jasim = 156.6 + 129.6

                               = £286.2

Therefore, Jasim's pay for a total of 30 hours worked last week is calculated as £286.2 using the given table's rate.

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I WILL GIVE BRAINILIST pls answer a and b Part A If Hank shoots from inside the three-point line, what can be said about his distance from the center of the basket? Part B Using the variable x to represent Hank's distance from the center of the basket, write an inequality for the situation you described in Part A.

Answers

A) if Hank shoots inside the three-point line we can say that he has to shoot 246 in to make the ball into the hoop.

B) then the direct, in a straight line to the center of the basket is : x = √2*246inches ^2

Answer:

x = √2*246inches ^2

Step-by-step explanation:

yw

pls help for #9! whats the area of the shaded region ?

pls help for #9! whats the area of the shaded region ?

Answers

Answer:

21.5

Step-by-step explanation:

square is 10x10 = 100

circle is A=πr2=π·5²≈78.54

100-78.54 = 21.46 = 21.5

Answer:

21.5 sq cm

Step-by-step explanation:

Area of Square:

A= LXW= 10x10= 100 sq cm

Area of Circle=

A=πr²

Radius= D/2= 10/2= 5 cm

A=3.14(5²)

A=3.14(25)= 78.5 sq cm

Shaded Region= 100-78.5= 21.5

The area of the shaded region is 21.5 sq cm.

alfred and bonnie play a game in which they take turns tossing a fair coin. the winner of a game is the first person to obtain a head. alfred and bonnie play this game several times with the stipulation that the loser of a game goes first in the next game. suppose that alfred goes first in the first game, and that the probability that he wins the sixth game is m n , where m and n are relatively prime positive integers. what are the last three digits of m n ? (1993,

Answers

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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what's the value of "x"? Show all your work. ​

what's the value of "x"? Show all your work.

Answers

Answer:

x=9

Step-by-step explanation:

a²+b²=c²

x²+6²=(√117)²

x²+36=117

x²=81

x=9

Answer:

3\(\sqrt{17}\) or 12.37 cm

Step-by-step explanation:

use the Pythagorean Theorem:

6² + \(\sqrt{117}\)² = x²

36 + 117 = x²

x² = 153

x = \(\sqrt{153}\) which is \(\sqrt{9}\)\(\sqrt{17}\) or 3\(\sqrt{17}\)

in decimal form, 'x' is approx 12.37

What is an ecosystem?
1. A self-contained living thing
2. A group of interacting 3.individuals from the same species located in the same area
4. All of the biotic and abiotic things within a given area and all of their inteactions
5. A food web

Answers

Answer:

4

Step-by-step explanation:

The number of fish in a lake decreased by 25% between last year and this year.

Last year there were 60 fish in the lake.

What is the population for this year?

Answers

Answer:

45

Step-by-step explanation:

45 is the answer for the question

Answer:

45

Step-by-step explanation:

We take 60 fishes as 100% for last year. This year, the fish decreased by 25%, so the percentage of fish left this year is 75% of the fishes last year.

Therefore, to find 75% of the fishes, we take

60 divided by 100 (100%) and multiply it by 75( 75%) to get 45.

hope u find this helpful!

Question 2
Write an algebraic expression for the verbal expression.
a number n less 35

Answers

x < 35
Hope this helps

Answer:

35 - n

Step-by-step explanation:

a number n = "n"

less than = "minus or -"

35 = 35

Thus the answer should be "35 - n"Pleas Mark Brainliest!!! :D

A group of statements that executes as a single unit is a(n) ____.
a. module
b. unit
c. bunch
d. block

Answers

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon

Answers

Answer:

the weight of that object on earth is 90N

then on moon it will be 90/6 = 15N

what proportion of tickets sold are adult tickets? (image)

what proportion of tickets sold are adult tickets? (image)

Answers

25+15=40
100-40=60
60/100=0.6

What is 0.83333333333 as a fraction?

Answers

Answer: 41666666669 / 50000000003

Step-by-step explanation:

Find the general solution in explicit form to the differential equation dy/dx - y = y^2 e^-x

Answers

$$\boxed{y=\frac{ce^{x}}{\sqrt{3e^{2x}-1}}}$$

The given differential equation is $\frac{dy}{dx}-y=y^{2}e^{-x}$. To find the general solution in explicit form to the differential equation, we need to find the integrating factor of the differential equation.

Step 1: Finding the integrating factorThe differential equation can be written in the standard form,$$\frac{dy}{dx}+p(x)y=q(x)$$where $p(x)=-1$ and $q(x)=y^{2}e^{-x}$ The integrating factor of the differential equation is defined as$$I=e^{\int p(x)dx}$$Here, $p(x)=-1$. Hence, the integrating factor is$$I=e^{\int(-1)dx}=e^{-x}$$

Step 2: Multiplying both sides by the integrating factor. Multiplying both sides of the differential equation by the integrating factor $e^{-x}$, we get$$(e^{-x}\frac{dy}{dx})-(ye^{-x})=y^{2}$$. We can simplify this as$$\frac{d}{dx}(ye^{-x})=y^{2}$$

Step 3: Integrating both sides. Integrating both sides of the equation above with respect to x, we get$$\int\frac{d}{dx}(ye^{-x})dx=\int y^{2}dx$$$$ye^{-x}=\frac{y^{3}}{3}+c$$where c is a constant of integration.

Step 4: General solutionThe general solution of the differential equation in explicit form is given by$$y=\frac{ce^{x}}{\sqrt{3e^{2x}-1}}$$Hence, the required general solution of the given differential equation in explicit form is given by $$\boxed{y=\frac{ce^{x}}{\sqrt{3e^{2x}-1}}}$$

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cost of 5 pens is RS 10 what is the cost of one pen ​

Answers

Answer:

Rs 2

Step-by-step explanation:

5 pen =Rs 10

1 pen = 10÷2

=Rs 2

Which graph represents a system of linear equations that has multiple common coordinate pairs?
sorry if the image is blurry

Which graph represents a system of linear equations that has multiple common coordinate pairs?sorry if

Answers

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

when would you calculate an expected value? when you need to know the exact outcome of a future, unknown event when your data points occur on different dates when you only have one data point when your data points have various probabilities of occurring

Answers

To calculate an expected value with absolute certainty is b. When your data points have various probabilities of occurring.

Expected cash flow is the sum of the cash flows times the likelihood that they will occur. Future financial inflows and outflows are calculated before accepting a project to help assess whether or not to take it on. The expected value is obtained by multiplying the supplied number by its likelihood. It is applied when estimating future projects.

Reasons why the other response is incorrect:

a. The present value of the data points, such as cash flows, is calculated and compared to cash outflows when they occur over different time periods.

c. It is impossible to accurately predict the value of an unknown future event.

d. When only one data point is available, it can be used for the desired outcome. If there are several possible outcomes or data points, probable outcomes can be estimated.

Note that the full question is:

When would you calculate an expected value?

a. When your data points occur on different dates

b. When your data points have various probabilities of occurring

c. When you need to know the exact outcome of a future, unknown event

d. When you only have one data point

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The invasive cane toad shows a population growth rate of 7% per year. How many years will
it take for this invasive population to grow from 4 million cane toads to 16 million cane
toads?

Please be quick

Answers

Given:

Initial population = 4 millions

Growth rate = 7% = 0.07

Present population = 16 millions

To find:

The time it will take for this invasive population to grow from 4 million cane toads to 16 million cane toads.

Solution:

The exponential growth model is

\(P=P_0(1+r)^t\)

where, P is present population, \(P_0\) is iniital population, r is growth rate and t is time in years.

Substitute P=16, \(P_0=4\) and r=0.07, we get

\(16=4(1+0.07)^t\)

Divide both sides by 4.

\(4=(1.07)^t\)

Taking log on both sides.

\(\log 4=\log (1.07)^t\)

\(\log 4=t\log (1.07)\)    \([\because \log x^n=n\log x]\)

\(\dfrac{\log 4}{\log (1.07)}=t\)

\(t=20.4895367\)

Approx the value to the next integer.

\(t\approx 21\)

Therefore, the required number of years is 21.

9a-ab+5b
if a=2 and b=7​

Answers

Answer:

39

Step-by-step explanation:

9a=18    ab=14     5b=35

18-14+35=39

Answer:

39

Step-by-step explanation:

9a-ab+5b

a=2 and b=7

we substitute the variables with their real numbers

9(2)-(2 x 7)+5(7)

from here we just simplify the equation

18-14+35=39

SOMEONE PLEASE ANSWER THIS ASAP!!

The population of Arlington High School can be modeled using the equation P(t) = 3,500(1.027)^t , where t represents the number of years since 2010

Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation.

How do you interpret the statement that P(6)= 4,107

SOMEONE PLEASE ANSWER THIS

SOMEONE PLEASE ANSWER THIS ASAP!!The population of Arlington High School can be modeled using the equation

Answers

Step-by-step explanation:

Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing

If p(6)= 4107 that means after 6 years there would be a total population of 4107

Which of the following is the range of the function based on the input-output table below?

Which of the following is the range of the function based on the input-output table below?

Answers

Answer:

Range is C : {1000,1100,1200,1300,1400,1500,1600}


A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.


Please include your working out!!

Answers

Answer:

Daughter's age = 6Father's age = 34

Step-by-step explanation:

Let the age of daughter be x

Then the age of father will be x + 28

In 6 years time:-

The age of father = x + 28 + 2 = 30 + x

The age of daughter = x + 6

According to the question,

Father will be three times the age of his daughter.

30 + x = 3(x + 6)

30 + x = 3x + 18

x - 3x = 18 - 30

-2x = - 12

x = - 12/-2

x = 6

So therfore,

Daughter's present age = 6 years

Father's present age = 34 years

Hope this helps :)


A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.


Please include your working out!!

1) Determine the length of "x" in the following triangle and mention if you're solving
for a leg or a hypotenuse.. (5 pts.)
55

1) Determine the length of "x" in the following triangle and mention if you're solvingfor a leg or a

Answers

Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?

a. 95%
b. 99.7%
c. 0.3%
d. 5%

Answers

It is option B. 99.7 %

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that:

The heights of a large population of ostriches are normally distributed.

The percentage of these heights that is within 3 standard deviations of the mean

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question:

The height of a large population of ostriches is normally distributed.

So,

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

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winter is busy at your ski resort for holiday weeks you increase your normal rate of $230/night by 40% what is the holiday rate

Answers

Answer:

322

Step-by-step explanation:

230 x 1.4 = 322

Make an estimate.
4.9 x 3.1
Estimate:

Answers

Answer:

15

Step-by-step explanation:

5x3 =15

Answer:

15

Step-by-step explanation:

We can round the two numbers so then we can multiply by the rounded numbers to get a close answer.

4.9 rounded to the nearest whole number is 5.

3.1 rounded to the nearest whole number is 3.

Now, we can multiply by the two numbers we got here.

5 × 3 = 15, so the answer to the question is 15.

The graph of y = 4x? - 4x - 1 is shown.
Use the graph to find estimates for
the solutions

The graph of y = 4x? - 4x - 1 is shown.Use the graph to find estimates forthe solutions

Answers

The estimates for the solutions are x = -0.25 and 1.25 when y = 0 and x = -0.5 and 1.5 when y = 2

Finding estimates for the solutions

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

y = 4x² - 4x - 1

When y = 0, we have

4x² - 4x - 1 = 0

From the graph, we can see that

x = -0.25 and 1.25 when y = 0

When y = 2, we have

4x² - 4x - 1 = 2

From the graph, we can see that

x = -0.5 and 1.5 when y = 2

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Determine the value of
f(2) when
f(x)=x² - 5x+2

Answers

Answer:

-4

Step-by-step explanation:

Substitute \(x = 2\) in to the function

\(f(2) = 2^2 -5(2) + 2\)

= -4

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