A glass is
1
-
4
full. Then 24cm3 of orange juice is poured in.
The glass is now
2
-
5
full.
What is the total volume of the glass?

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Note: This question is very generic and incomplete. So, I will be using the general properties of operation for a general expressions for the sack of understanding and concept.

Solution:

There are several properties of arithmetic operations. But here, we will be discussing about the common properties of operations.

1. Commutative property of Addition

2. Commutative property of Multiplication

3. Associative property of Addition

4. Associative property of Multiplication

Let's Start,

1. Commutative property of Addition:

a + b = b + a

it means that if we add 2 to 3 or 3 to 2, the result will be same.

2 + 3 = 3 + 2

5 = 5

Similarly.

2. Commutative property of Multiplication:

a x b = b x a

it means that if we multiply 2 to 3 or 3 to 2, the result will be same.

2 x 3  = 3 x 2

6 = 6

3. Associative property of Addition:

Let's suppose we have 3 variables now,

a, b and c

so,

a + (b + c)  = (a + b) + c

2 + (3 + 5)  = (2 + 3) + 5

2 + (8) = (5) + 5

10 = 10

Similarly.

4. Associative property of Multiplication:

a x (b x c)  = (a x b) x c

2 x (3 x 5)  = (2 x 3) x 5

2 x ( 15) = (6) x 5

30 = 30

Hence, these operations are very useful in solving the bigger and complex questions in mathematics.

Answer:

C≈16.34cm

Step-by-step explanation:

I think.

Answer:

C = 16.34

Step-by-step explanation:

If the radius is 2.6 cm, than the circumference is 16.34 cm.

The formula is c = pi x radius x 2

Answer:

sin Q = xy/6

Step-by-step explanation:

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

Answer:

x=12√2

y=45°

Step-by-step explanation:

as we know diagonal of a square

=a√2

=12√2

and

y=45°

The answer is x-3. We don't know the brother's height, so we make it into a variable. You may pick any variable, but x is a common choice. We then subtract 3 from x, which would give us Aria's height. Since we don't know the height of the brother, we won't know Aria's height.

Answer:

15x+9y= 360----------1

x+y= 30--------------2

Step-by-step explanation:

Step one:

given data

let adult be x

and child be y

A hairstylist charges $15 for an adult haircut and $9 for a child haircut

She wants to earn $360 dollars

15x+9y= 360----------1

and cut 30 haircuts this week

x+y= 30--------------2

Step two:

Hence the system of equations for the situation is given as

15x+9y= 360----------1

x+y= 30--------------2

Answer:

B

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The following data represents the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final 8 teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina and Virginia Commonwealth. (Source: www.usatoday.com)

                  1950 434 2300 3575 3376 3800 1655 418

Compute the range, variance and standard deviation for these data.

Round your answers to the nearest integer, where appropriate.

Answer: Range = 3382

              Variance = 1785193

             Standard Deviation = 1336

Step-by-step explanation: Range is the difference between the highest value and lowest value of the set.

Range for the coaches salaries is

range = 3800 - 418

range = 3382

Variance and Standard Deviation are both the statistical measures of the spread between in the data set. In other words, they show how far the numbers in the set are from the mean of the data.

Variance is calculated as

[tex]s^{2}=\frac{\Sigma (x-\mu)^{2}}{n}[/tex]

x are the numbers in the set

μ is the mean

n is sample or population quantity

For the coaches' salaries, variance is

[tex]s^{2}=\frac{\Sigma (418-2188.5+...+3800-2188.5)^{2}}{8}[/tex]

s² = 1785192.6

Standard deviation is the squared root of variance:

[tex]s=\sqrt{s^{2}}[/tex]

Then, for coaches' salaries:

[tex]s=\sqrt{1785192.6}[/tex]

s = 1336.11

For the 2011 coaches' salaries, range, variance and standard deviation are 3382, 1785193 and 1336, respectively

Answer:

p=5

Step-by-step explanation:

28-13=3p

15=3p

p=5

Answer:

5

Step-by-step explanation:

subtract 28 on both sides

-3p = -15

Divide both sides by-3

p = 5

Answer:

$374,080.00

Step-by-step explanation:

You want to calculate the interest on $40000 at 5.8% interest per month after 12 year(s).

The formula we'll use for this is the simple interest formula, or:

[tex]I=P*R*T[/tex]

Where:

P is the principal amount, $40000.00.

r is the interest rate, 5.8% per month, or in decimal form, 5.8/100=0.058.

t is the time involved, 12....year(s) time periods.

Since your interest rate is "per month" and you gave your time interval in "year(s)" we need to convert your time interval into "month" as well.

Do this by multiplying your time, 12 year(s), by 12, since there's 12 months in 1 year.

So, t is 144....month time periods.

To find the simple interest, we multiply 40000 × 0.058 × 144 to get that:

The interest is: $334080.00

Usually now, the interest is added onto the principal to figure some new amount after 12 year(s),

or 40000.00 + 334080.00 = 374080.00. For example:

If you borrowed the $40000.00, you would now owe $374080.00

If you loaned someone $40000.00, you would now be due $374080.00

If owned something, like a $40000.00 bond, it would be worth $374080.00 now.

Answer:

    [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]      =   [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Step-by-step explanation:

Step(i):-

Given  expression

        [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]

      = [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]

Step(ii):-

    = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

-- i have attached a picture of the graph

- in order to graph, plug in values for x and find y

- this would create order pairs which you will plot.

some order pairs:

(0,0)

(1,3)

(2,6)

Answer: Plot the two points (0,0) and (1,3). Draw a straight line through them. The graph is shown below.

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

Explanation:

When x = 0, we have y equal to...

y = 3x

y = 3*0

y = 0

So this means (x,y) = (0,0) is one point on the line

Let's follow those steps for x = 1

y = 3x

y = 3*1

y = 3

So the point (x,y) = (1,3) is also on the line.

You can repeat this process for any x value you want; however, we only need two points to form the line. Plot (0,0) and (1,3). Then draw a straight line through both points. Extend the line as far as you can in either direction. This forms the graph of y = 3x.

You can use a graphing calculator (eg: TI83) to get the job done. Or you can use a free online resource such as GeoGebra or Desmos. I prefer GeoGebra as it offers more options. The graph shown below was made with GeoGebra.

Note that moving from point A(0,0) to B(1,3) has us move up 3 and over to the right 1. This is due to the slope of 3 = 3/1.

y = 3x is the same as y = 3x+0. It is of the form y = mx+b with m = 3 = 3/1 as the slope and b = 0 as the y intercept.

Answer:

(30+10n)+(95+7n)= t

Step-by-step explanation:

Answer:

1 pound for 90 cents

Step-by-step explanation:

7.20 / 8 = 0.90

5 star, thank, and brainliest if helpful

Answer:

2

Step-by-step explanation:

because their gretest common factor is 2

Answer:

The greatest common factor of 6 and 14 is 2

Step-by-step explanation:

The GCF is the largest whole number that goes into both of the other numbers

Hope this helps :-)

Answer:

100÷2[500÷5{6+(28-24)}]

100÷2[500÷5{6+4}]

100÷2[500÷5{10}

100÷2[500÷50]

100÷2[10]

100÷20

5

Answer:

35 more video games

Step-by-step explanation:

40 times 3 and then substract 85

120-85=35

Answer:

slope m = (5+1)/(-6+8) = 6/2 =3

Angle A (6x +11)  = 53

12x - 7 = 77

Answer: in attached

Step-by-step explanation:

See image

Answer: the amount of money she can spend is $1875

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/[tex]12\sqrt{2} \\[/tex]

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

$6.98

Step-by-step explanation:

0.29x+1.23y=Total amount

x=pounds of potatoes

y=pounds of onions

Substitute:

0.29(3.7)+1.23(4.8)

Multiply:

1.073+5.904

Add:

6.977

Round:

6.98

Answer:

The value of x = 8.5

The value of FG = 8.5 units

Step-by-step explanation:

Given

Determining the value of x

As F is between E and G, so

EF = FG

7 = 2(x-5)

7 = 2x-10

2x = 7+10

2x = 17

divide both sides by 2

2x/2 = 17/2

x = 8.5

Thus,

The value of x = 8.5

Determining the value of FG

As

FG = 2(x-5)

substituting x = 8.5

FG = 2(8.5 - 5)

FG = 2(3.5)

FG = 7

Thus,

The value of FG = 8.5 units

Summary:

The value of x = 8.5

The value of FG = 8.5 units