A bread machine produces 159 loaves of bread per hour. The machine operates 10 hours per day. How many loaves of bread does it produce per day? _____ loaves

The new ratio of red to green marbles is 3:1

Let's start by finding the actual number of each color marble in the bag:

Let's call the number of red marbles "15x" (since the ratio of red to blue is 15:7).

Then, the number of blue marbles is "7x" (since the ratio of red to blue is 15:7).

And, the number of green marbles is "3y" (since the ratio of blue to green is 7:3).

We don't know the value of "x" or "y" yet, but we can use this information to set up some equations:

"15x + 7x + 3y = 75" (since there are 75 marbles in total).

We can simplify this to: "22x + 3y = 75".

Now, let's remove 2 blue marbles and add 2 green marbles. This will change the number of blue and green marbles in the bag:

The new number of blue marbles is "7x - 2".

The new number of green marbles is "3y + 2".

We want to find the new ratio of red to green marbles. To do this, we need to know the new number of red marbles. We can use the fact that the total number of marbles hasn't changed to set up another equation:

(15x) + (7x - 2) + (3y + 2) = 75

22x + 3y = 75 + 2

22x + 3y = 77

Now we have two equations with two variables, which we can solve to find the values of "x" and "y":

22x + 3y = 75

22x + 3y = 77

Subtracting the first equation from the second, we get:

x + 0y = 2

This means that there is no solution for this system of equations. However, we can still find the new ratio of red to green marbles using the information we have.

Before the blue marbles were replaced, the ratio of red to green marbles was:

(15x) : (3y) = 5:1.

After the blue marbles were replaced, we know that the number of blue marbles decreased by 2 and the number of green marbles increased by 2. So, the new ratio of red to green marbles is:

(15x) : (3y + 2).

We don't know the values of "x" and "y", but we can simplify the ratio:

(15x) : (3y + 2) = 15 : (3/15y + 2/15).

Simplifying: (15x) : (3y + 2) = 15 : (y/5 + 2/15).

Hence the new ratio of red to green marbles is 3:1

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Answer:

$0.06

Step-by-step explanation:

First, find how many inches are in 8 feet.

Since 1 foot is 12 inches, multiply 8 by 12:

8(12)

= 96

Then, to find the price per inch, divide the price by the number of inches:

5.76/96

= 0.06

So, the price per inch is $0.06

Answer:

$0.06

Step-by-step explanation:

There are 12 inches in a foot, and there are 8 feet all together, meaning there is 96 inches for $5.76.

Divided the cost y the number of inches to get the cost per inch,

5.76 divided by 96 = 0.06.

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

Answer:

Different

Step-by-step explanation:

Diversity is a noun that means the state or fact of being diverse; difference; unlikeliness. Variety; multiformity. A state of difference.

Answer:

Step-by-step explanation:

If f(x) is an even function, that means it has symmetry across the y-axis. In other words, if (a,b) is a point on the graph of f(x), then (-a,b) must also be on the graph.

We are given that f(2) = -5. Since 2 is a positive number, we know that (-2) is the corresponding negative value that also lies on the y-axis. Therefore, we can say that f(-2) = f(2) = -5.

So, the other point that must be on the graph of f(x) is (-2,-5).

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

In statistical terms , Correlation is a measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.

The following are the types of correlation :

Positive Linear Correlation

Negative Linear Correlation

Non-linear Correlation (known as curvilinear correlation)

No Correlation

As low temperatures mean a cold atmosphere , hence sales of winter coats sold in department stores is highly correlated to low temperature areas. Therefore , in this situation , correlation implies causation.

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

B. 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.

Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.

The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.

To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;

x / 36 = 64 / x

Cross multiplying both sides

x * x = 36 * 64

x² = 2304

x  = √2304

x = 48 units

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Step-by-step explanation:

Topic :- Percentage Increase

= Cost price × Rate/one hundred

⇒ 34.90 × 9/100

⇒ 314.1/100

⇒ 3.141

Therefore, the sale tax of the elephant would be $3.141

Answer:

3.15

Step-by-step explanation:

Answer:

44.71 kilometers

Step-by-step explanation:

Answer:

I would say 44.71 kilometers

Step-by-step explanation:

When you add all those values together you get 44.71.

Answer:

C correct me if I'm wrong.

Step-by-step explanation:

Check the picture below.

\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=x\\ h=6x-20\\ A=50 \end{cases}\implies 50=\cfrac{1}{2}(x)(6x-20) \\\\\\ 50=\cfrac{6x^2-20x}{2}\implies \boxed{50=3x^2-10x}\)

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Derrick's value = 0

Ari's value = 0.5

Wesley's value = 2.1

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

Explanation:

Derrick doesn't shade anything, so his value is 0.

Ari shades half of one model, so 1/2 = 0.5 is his value

Wesley shades 2 full models, plus 1/10 = 0.1 of another one, leading to 2+0.1 = 2.1 as his value.

The fractional amount of the model shaded by each of the boys are :

The size of each model cut out = 1/100 = 0.01

DERRICK :

ARI :

WESLEY

Therefore, the amount shaded by each of the boys represented as a decimal are :

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The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Answer:

6

Step-by-step explanation:

9/3=3, so if you divide 18/3, you get 6.

Hope this helps you out!! Have a wonderful day :3

Answer:

6

Step-by-step explanation:

This type of problem is a lot easier when you break it down a bit.

First, we know that 9:18 is equal to 1:2 (this is just simplifying by dividing by 9)

So, what's 2*3? 6

Alternatively, you can reason that 9/3 = 3 and 18/3=6

Hope this helps!

So basically you factor 4 out of 16

4(4b-1)

Answer:

(5 -96)

Step-by-step explanation:

is one

the Answer:

Step-by-step explanation:

1

Answer:

7000

We have: I = P × R × T / 100

Here, I = 980

P = 7000

T = 8

Substitute their values into the expression:

980 = 7000 × R × 8 / 100

R = 980 × 100 / 7000 × 8

R = 98000 / 56000

R = 1.75%

In short, Your Answer would be 1.75%

Answer:

4.5

Step-by-step explanation:

that is

their rates =1/6, 1/3 respectively

total =1/2

if 1/2=9

1= 9/2

= 4.5

We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.

We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:

When they work together the rates just add up, so we get:

R =   (1 door/ 6h) +  (1 door/ 3h) =  (1 door/ 6h) +  (2 door/ 6h)

  = (3 doors/6 hours) = (1 door/ 2 hours)

This means that, working together, they can paint 1 door in 2 hours.

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Answer:

I am doinnnnngggghgh ggggggh

Answer:

god knowsnnsjjejjejek

Answer:

Length = 47 in

Radius = 47/π in

Step-by-step explanation:

Let 'h' be the length of the package, and 'r' be the radius of the cross section.

The length and girth combined are:

\(L+G=141=h+2\pi r\\h=141-2\pi r\)

The volume of the cylindrical package is:

\(V=A_b*h\\V=\pi r^2*h\)

Rewriting the volume as a function of 'r':

\(V=\pi r^2*h\\V=\pi r^2*(141-2\pi r)\\V=141\pi r^2-2\pi^2 r^3\)

The value of 'r' for which the derivate of the volume function is zero yields the maximum volume:

\(V=141\pi r^2-2\pi^2 r^3\\\frac{dV}{dr}=282\pi r-6\pi^2r^2=0\\ 6\pi r=282\\r=\frac{47}{\pi} \ in\)

The length is:

\(h=141-2\pi r=141-2\pi*\frac{47}{\pi}\\h=47\ in\)

The dimensions that yield the maximum volume are:

Length = 47 in

Radius = 47/π in

Your parents need to earn an annual interest rate of approximately 6.1% to achieve their retirement goal of $1,400,000 in 30 years, assuming they don't save any additional funds.

To know the annual interest rate that your parents need to earn so that they can achieve their retirement goal, one can use the formula for future value of a present amount.

The formula is:FV = PV(1+r)ⁿ

where, FV = future value

PV = present value

r = annual interest rate

n = number of years

So, we can plug in the given values to find the annual interest rate required by your parents.

FV = PV(1+r)ⁿFV = $1,400,000PV = $260,000n = 30 years

Substitute the values in the formula and solve for r. $1,400,000 = $260,000(1+r)³⁰$1,400,000/$260,000 = (1+r)³⁰5.38 = (1+r)³⁰

Now, we need to find the value of r.

We can take the 30th root of both sides of the equation to isolate r. 5.38¹/³⁰ = (1+r)5.38¹/³⁰ - 1 = r

Now, we can use a calculator to find the value of r, rounded to two decimal places. r ≈ 0.061 or 6.1%

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