Which of the following correctly represents the given
data in the problem?
A survey of 80 students found that 24 students both play
in the band and play a sport. But 22 students are not in
band and do not play a sport. There are 48 students in
the band. If being in band is the row variable and playing
sports is the column variable, fill in the labels the table.
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, í = 48
a = 24, b = 48, c = 22, i = 48
Play a
Sport
Do Not
Play a
Sport
Total
a=24, c = 48, e = 22, i = 80
In Band
a
b
c
Not in Band
d
e
f
Total
g
h
i

Answer:

Step-Smallest angle = 40

by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                      7x = 180 - 19

                                      7x = 161               {Divide both sides by 7}

                                         x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Answer:

$637.50

Step-by-step explanation:

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

Answer:its either 1 or 2

Step-by-step explanation:

Answer:

It would be the second one :) I think

Step-by-step explanation:

Answer: $1.50 per rose

Step-by-step explanation: You add 38 and 45, because you want to find the total of the roses she sold. 38 + 45 = 83. Then you have to divide the total price by how many roses she sold. So, 124.50 / 83 = 1.5. So, it's $1.50 per rose.

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

The midpoint of OB is 9/2 = 4.5 cm from O

The midpoint of OA is 12/2 = 6.0 cm from O

Since O is not on AB, we must have B on OA, so the distance between midpoints is ...

  6 cm -4.5 cm = 1.5 cm . . . . distance between midpoints

Answer: 2.204

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x > -7 hope this helps

Step-by-step explanation:

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

Answer:

4 to 3

Step-by-step explanation:

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton’s ratio?

Three-sevenths

Four-sevenths

3 to 4

4 to 3

Ratio of the number of sports video games that he owns to the number of driving video games that he owns = 4 : 3

number of sports video games that he owns : number of driving video games that he owns = 4 : 3

4 : 3 = 4 / 3

Three-sevenths = 3 / 7

Four-sevenths = 4 / 7

3 to 4 = 3 / 4

4 to 3 = 4 / 3

The equivalent ratio to Colton’s ratio is 4 to 3

Answer:

x=7

m<2=33

Step-by-step explanation:

4x+5=5x-2

5+2=5x-4x

7=x

m<2=4x+5

m<2=4×7+5

m<2=28+5=33

Answer:

9 pieces

Step-by-step explanation:

first convert 40cm to m by dividing by 100cm

then divide 3.6m by 0.4 then the ans will come.

A) There are 9 strings each of length of 40 cm.
B) 0.20, 5/12, 75% is already in the ascending order.
C) The bearing of Klayton from Lakeshore is also 196°.

In mathematics, it deals with numbers of operations according to the statements.

A) A 3.6 m long string is to be cut into pieces, each of length 40 cm.
3.6 m = 3.6 * 100cm
3.6 m = 360 cm
Let the number of stings be x
x * 40 = 360
x = 360 / 40
x = 9
there are 9 strings each of length of 40 cm.

Arranging the following in ascending order of magnitude: 0.20, 5/12, 75%
0.20, 5/12, 75% is already in the ascending order.

The bearing of Lakeshore from Klayton is 196°. The bearing of Klayton from Lakeshore is also 196°.

Thus, the answers to the given problem are calculated above.

Learn more about arithmetic here:

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Answer:

12

Step-by-step explanation:

Answer: To do that you divide the top to the bottom so 4,102 divided by 7 which is 586

Answer: 586

Step-by-step explanation:

The decimal notation is 586.0

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:  4,102/7

Now to write the above fraction into decimal we have to divide the fraction

as

4102/7= 586

As, the divides the fractions completely.

Hence, the decimal notation is 586.0

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Answer:

He does qualify for the discount, his total will be $43.45

Step-by-step explanation:

Answer: It is chromatography.

Step-by-step explanation:

when water or dye passes through a medium and changes color then that means it must be chromatography.

Chromatography is a method of separating a mixture into its components to study and analyze its various components.

The method of separation of the given situation is chromatography.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as πr².

We have,

Chromatography is a method of separating a mixture into its components to study and analyze its various components.

Evaporation is the process of converting liquid into vapor.

Distillation is the process of separating its components from a mixture by boiling.

Filtration is the process of separating its components into solid and fluid.

When a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors.

This method is called chromatography.

Thus,

The method of separation of the given situation is chromatography.

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Answer:

0.000000210 x 10^{6}=0.21

Answer: 0.5

Step-by-step explanation:

You can substitute:

12(-0.25) + 0.35(10)=

-3 + 3.5=

0.5

Answer:

The multiplication property of zero is about multiplying 0. If you multiply a number by zero, the product will be zero.

Step-by-step explanation:

Answer:

Step-by-step explanation:

She read 30 pages in 25 minutes.

Rise over run is slope. Find the slope. That is the rate of change.

the y coordinate is (0,0)

Answer:

7

Step-by-step explanation:

hey there,

< Here's how you do subtraction in fractions!

Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.

How did they go from  [tex]\frac{4}{5} x-\frac{1}{3} x[/tex]  to [tex]\frac{?}{15} x[/tex]?

Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).

So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.

1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.

Now, let's put them together.

[tex]\frac{12}{15}x-\frac{5}{15} x[/tex]

When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!

12-5 = 7, and the denominator stays the same.

The answer is [tex]\frac{7}{15} x[/tex]. So the numerator, or answer to your question, would be 7.

Hope this helped! Feel free to ask anything else.

45 feet would be the answer.

./....

Answer:

[tex]d = \frac{4 - 3c}{c + 1} [/tex]

Step-by-step explanation:

To make d the subject of formula, we need to rearrange the equation such that we arrive at d= _____.

[tex]c = \frac{4 - d}{d + 3} [/tex]

Remove the fraction by multiplying (d +3) on both sides:

[tex]c(d + 3) = 4 - d[/tex]

Expand:

[tex]cd + 3c = 4 - d[/tex]

Bring all the d terms to one side and move the others to the other side of the equation:

[tex]cd + d = 4 - 3c[/tex]

Factorise d out:

[tex]d(c + 1) = 4 - 3c[/tex]

Divide by (c +1) on both sides:

[tex]d = \frac{4 - 3c}{c + 1} [/tex]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...

Step 2: Substitute that equation into the other equation, and solve for x. ...

Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

Answer: 1st one, porpostional

Step-by-step explanation:

Answer:

proportional is the answer

Answer:

(-5+8,3-8) = (3,-5)

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

-3x + 24 = 39

-3x = 15

x = -5

................................

Answer:

17/24

Step-by-step explanation:

hope this helped:)

Answer: i think it is 17/24

Step-by-step explanation:

Answer:

14

Step-by-step explanation: