The ratio of red marbles to blue marbles is 1/3. There are 24 marbles in all. How many red marbles and how many blue marbles are there?

Answers

Answer 1

Answer: 24/3 equals 8. SOOOOO 1/3 of 24 is 8. So 8 Red and 16 Blue

Answer 2

Answer: If the ratio is 1 divided by 3, Then you need to make a fraction of marbles equal to 1/3. If there are 24 marbles in all, divide this by 4, which equals 6. For every 1 red marble there is 3 blue marbles, which means that if there is 6 red marbles, multiply 6x3 = 18. So there are 6 red marbles and 18 blue marbles. 6/18 is the same as 1/3, so the ratio is correct.

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-7x+y=−7x+y=\,\,-30−302x-5=2x−5=\,\,yy

A driveway is 40 yards long. How many meters long is it?

Answers

The drive-way is 36.576 meters long. (about 37)

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

we are given that driveway is 40 yards long.

WE know that

1 yard = 0.9144 metre

Multiply:

40 × 0.941 = 36.576

The drive-way is 36.576 meters long. (about 37)

Learn more about multiplications;

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The drive way is 36.576 meters long

Solve for x and y x+y=32 x−y=8

Answers

Answer:

x = 20 y= 12

Step-by-step explanation:

x+y=32

x−y=8

Add the two equations together to eliminate y

x+y=32

x−y=8

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

2x = 40

Divide each side by 2

2x/2 = 40/2

x = 20

We know x so we can find y

x+y = 32

20+y = 32

20+y-20 = 32-20

y= 12

Need help plz the top part u don't need it

Answers

Daute bought two types of meat that is pork and tuna from the supermarket. He bought total of 5 lbs of meat, if he bought $(1)/(4)$ lbs of pork. How much lbs of tuna did Daute bought?

Arm Span(x) Height(y) (58, 60)
(49, 47)
(51, 55)
(19, 25)
(37, 39)
(44, 45)
(47, 49)
(36, 35)
(41, 40)
(46, 50)
(58, 61)
(67, 63)

1. Representation of Data with Plots Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph. Copy and paste your scatter plot into a word processing document.

2. The Line of Best Fit Include your scatter plot and the answers to the following questions in your word processing document:

Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

Test the residuals of two other points to determine how well the line of best fit models the data. Use the line of best fit to help you to describe the data correlation.

Using the line of best fit that you found in 2, approximate how tall is a person whose arm span is 66 inches?

According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = (\sum y \sum x^(2) - \sum x \sumxy)/(n\sum x^(2)- \left (\sum x\right )^(2))\n\nb = (n\sumx y - \sum x \sumxy)/(n\sum x^(2)- \left (\sum x\right )^(2))$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\n\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\n25 & 19 & 22.3 & -3.3\n40 & 41 & 38.2 & 2.8\n55 & 51 & 54.1 & -3.1\n65 & 67 & 62.6 & 4.4\n \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\n66 & = & 1.0595x - 4.1524\n70.1524 & = & 1.0595x\nx & = & (70.1524)/(1.0595)\n\n& = & \textbf{66 in}\n\end{array}\n\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\n& = & 1.0595*74 - 4.1524\n& = & 78.4030 - 4.1524\n& = & \textbf{74 in}\n\end{array}\n\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

3+3 78-t8=ghfgsx90ge734-gfd7676-673=785753-7467559763-7465458639650

Answers

Answer:

yes

Step-by-step explanation:

How would you solve (4k+5)(k+1)=0?

Answers

$(4k+5)(k+1)=0\iff4k+5=0\ or\ k+1=0\n\n4k=-5\ or\ k=-1\n\n\boxed{k=-(5)/(4)\ or\ k=-1}$

(4k + 5) (k + 1) = 0

Before you rush off and start trying to do complicated things with that equation,
put your pencil down, fold your hands in your lap, and sit and look at it for a while.
Keep looking at it until a little voice yells out "Hey ! That's a true statement if
either (4k + 5) is zero or (k+1) is zero. THEN go to work on it.

(4k + 5 = 0)
4k = -5
k = -5/4

(k + 1 = 0)
k = -1

And there are the two solutions to that equation.

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