equations with variables4w + 3 = 2w + 7

Total number of drinks sold = 45 + 31 + 47 +27 = 150

Lemonade and ice tea = 45 +27 = 72

Divide the number of lemonades and ice tea drinks sold, by the total number of drinks sold.

72 / 150 = 0.48

Multiply by 100

0.48 x 100 = 48% (option A)

The equation of the revenue is y = -500/3x + 3000 and the daily sales for $7.50 is $1750

The points are given as

(6, 2000) and (8, 1000)

Calculate the slope of the points using the following slope formula

m= (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (6, 2000) and (8, 1000)

Slope = m

So, we have

m = (1000 - 2000)/(8 - 2)

Evaluate the expression

m = -500/3

The equation of the line is then calculated using the line equation formula

y = m(x - x₁) + y₁

Where

(x₁, y₁) = (6, 2000)

So, we have

y = -500/3(x - 6) + 2000

Expand

y = -500/3x + 3000

This means that

x = 7.50

Recall that

y = -500/3x + 3000

Substitute x = 7.50

y = -500/3 x 7.50+ 3000

Evaluate

y = 1750

So, the daily sales is $1750

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We have that the distributive property states that the multiplication is done for all the terms inside the parenthesis. Then we have:

Since

3 · 28 = 84

and

3 · □ = 93

Since 3 · 31 = 93, then

□ = 31

The perimeter of a rectangle is the sum of its 4 sides:

The relationship between x and y points is a linear relationship of the form:

y = mx + b

where m is the slope of the line, and b is the coordinate y for the y-intercept.

Now, by definition, we have that the slope of the line is given by:

where (X1,Y1) and (X2,Y2) are given points on the graph.

In our case, we can take

(X1, Y1) =(2,-1)

(X2,Y2) = (3,2)

then, te slope of the line would be:

then m = 3 and the new equation for our graph would be:

y = 3x+b

Now, to find b, take any point (x,y) on the graph. In this case, for example

(x,y) = (3,2) and replace this point in the above equation:

2= 3(3) + b

solve for b:

2-9 = b

then b = -7 and we can conclude that the equation for our graph is:

y = 3x-7

The x intercept of a line is where i

(5x)(-2x) in words is Five times x multiplied by negative two times x

Using variables, constants, and algebraic operations, an expression can be described as an algebraic expression in mathematics (addition, subtraction, etc.). Terms are used to construct expressions. Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign. Example of a word: The product of 8 and 3. Word illustration: 11 is the result of adding 8 and 3.

Given Data

Expression

(5x)(2x)

Translating algebraic expression into verbal expression:

Five times x multiplied by negative two times x

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Answer:

[tex]3\, x + (-1)\, y = 1[/tex].

Step-by-step explanation:

Both the slope of this line and the coordinates of a point on this line are given. Therefore, start by finding the point-slope equation of this line: if the slope of a line in a plane is [tex]m[/tex], and this line goes through a point at [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line will be [tex](y - y_{0}) = m\, (x - x_{0})[/tex].

The slope of the line in this question is [tex]m = 3[/tex]. It is given that this line goes through the point [tex](2,\, 5)[/tex], where [tex]x_{0} = 2[/tex] and [tex]y_{0} = 5[/tex]. Substitute in these values to find the point-slope equation of this line:

[tex](y - y_{0}) = m\, (x - x_{0})[/tex].

[tex](y - 5) = 3\, (x - 2)[/tex].

Rewrite this point-slope equation in the requested format:

[tex]y - 5 = 3\, x - 6[/tex].

[tex]3\, x - 6 = y - 5[/tex].

[tex]3\, x = y + 1[/tex].

[tex]3\, x - y = 1[/tex].

[tex]3\, x + (-1)\, y = 1[/tex].

Answer: They are both equal

1 meter = 10 decimeter

We need to convert 100 decimeters to meters

1 meter = 10 decimeter

x meter = 100 decimeter

Cross multiply

x * 10 = 1 x 100

10x = 100

Divide both sides by 10

10x/10 = 100/10

x = 10 meters

Hence, 10 meters is equal to 100 decimeter

Answer: They are both equal

A basketball game does not end in a tie. This means that it is either the team wins the game or they draw the game. These outcomes are independent becuase winning one game has no effect on the outcome of the next game. This means that we have a binomial distribution here. the formula for binomial distribution is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the number of trials

x is the number of successess

p is the probability of success

q is the probability of failure

We are concerned with the outcome of winning. This means that success is when the team wins. Thus,

p = 4/7

q = 1 - p = 1 - 4/7 = 3/7

n = 15

x = 8

We want to find P(x = 8)

By applying the binomial distribution formula,

P(x = 8) = 15C8 * (4/7)^8 * (3/7)^(15 - 8)

P(x = 8) = 6435 * (4/7)^8 * (3/7)^7

P(x = 8) = 0.194

The probability that in a season of 15 games they will win exactly 8 games is

0.194

Answer:

145

Step-by-step explanation:

168-23 = 145

    i hope this helps :)

Given the function:

x^2 + 2x - 8

x^2 - 2x - 8

we are to find the zeros of the function.

To find the zero of a function, we find the root of the numerator.

That is, equsting the numerator to zero

x^2 + 2x - 8 = 0

lets get factor of the above eqaution

= x^2 - 2x + 4x + 8

x(x-2) + 4(x-2) = 0

so,

x + 4 = 0 OR x - 2 = 0

x + 4 = 0

x = -4

OR

x - 2 = 0

x = 2

so, x = -4, 2

Therefore the zeros of the function x^2 + 2x - 8 are -4, 2

x^2 - 2x - 8

So, the correct option is D which is -4, 2

Answer: -1 -3/4

Step-by-step explanation:

1.Move terms to the left side

4x^{2}+3=-7x

4x^{2}+3-\left( -7x\right) =0

2.Rearrange terms

4x^{2}+3+7x=0

4x^{2}+7x+3=0

3.Use the quadratic formula

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x^{2}+7x+3=0

4.Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

-7+1/8

5.Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=\frac{-7+1}{8}

x=\frac{-7-1}{8}

6.Solve

Rearrange and isolate the variable to find each solution

x=-\frac{3}{4}

x=-1

From the big triangle we know that:

From the triangle on the right we also know that:

From the triangle on the left we know:

Adding the last two equations we have that:

Equating the last equation with the first one we have that:

Then, the height of the triangle is the squared root of 27.

Once we know the height we can calculate the area.

Therefore the exact value of the area is:

This can be approximated to (rounding on the hundreths):

Answer:

- 28

Step-by-step explanation:

-2 + { -3 - [ 7 + 4·( -2 + 5 ) ] } - 4

1)

( -2 + 5 ) = 3

2)

[ 7 + 4·3  ]  = [ 7 + 12 ] = 19

3)

{ -3 - 19 } = - 22

4)

- 2 + ( -22) - 4 = -2 - 22 - 4 = - 28

The answer is B: 31.4%

Using a graphic calculator you have:

Mean: 7

SD: 18

Lower bound: 5.8

Upper bound: 7.3

In order to determine the time for research, calculate one quarter of the time spend in the project of the company.

Express the time for the project as a normal fraction, as follow:

5 1/3 = 5/1 + 1/3 = (15 + 1)/3 = 16/3

Next, multiply 1/4 (one quarter) by the previous fraction 16/3:

(1/4)·(16/3) = 16/12

simplify the previous fraction:

16/12 = 4/3

as a mixed number the previous result is:

4/3 = 1 1/3

Answer:

0.64285714285

Step-by-step explanation:

6+3=9

9 divided by 2= 4.5

4.5 / 7= 0.64285714285

I don't think this is what you're looking for?

Retail price = $37.5

Original price = $30

Markup = $7.5

Retail price = cost price + markup

cost price = Original price = $30

Retail price = $30 + $7.5

Retail price = $37.5

Using pythagorean theorem:

Answer:

EXPLANATION

A special form of average is the Geometric Mean, where we sum the numbers together and then take a square root (for two numbers), cube root (for three numbers), etc.

The geometric mean between 10 and 25 is equal to:

sqrt(10*25)= 15.81

Answer is 5*sqrt(10) or 15.81

Given

And

To find the value of I(x).

Explanation:

It is given that,

Then,

Hence, the answer is I(x)=64x³-32x².

In a fraction, we have that the top number is the numerator and the bottom number is the denominator.

Also, in a mixed number, we have a whole number together with a fraction, but the denominator still is the bottom number of the fraction

So the statement of the question is FALSE.

Given the word expression:

Triple c, then raise to the 10th power.

Here the exponent of triple c is 10.

To express the above, we have:

Thus, we the expression below:

ANSWER:

As shown on the graph:

y-intercept is the value of y at which x = 0

so, from the graph when x = 0 , y = -3

To find the slope use two points to calculate it

Using the points (0 , -3) and ( 4 , 4 )

the slope = Rise/Run

Rise = 4 - (-3) = 4 + 3 = 7

Run = 4 - 0 = 4

so, the slope = 7/4

The slope intercept form of the line is y = mx + c

Where m is the slope and c is y-intercept

Slope = m = (7/4)

y-intercept = c = -3

So,

y = (7/4) x - 3

The options that describes a single transformation that compares the graph of g with the graph of f are;

B) The graph of g is shifted 3 units right.

C) The graph of g is shifted 3 units up.

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation.

Translation is a method of transformation that involves moving an object or shape from one point to another without changing any dimension.

Reflection is a method of transformation that involves flipping a given figure about a given reference point or line. In order words, a mirror image of the original object.

Rotation is a method of transformation that involves  turning a given figure at an angle about a reference point.

Dilation is a method of transformation whereby the length of the sides of the figure is either increased or decreased.

Now, looking at the given graph, we see that the line showing the graph g is clearly shifted by either 3 units to the right or 3 units upwards to get the function line f.

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Solution

Note: Equation of a Line os given as

We are given that the slope is -4/5

That is m = -4/5

It has x intercept of 3, that is the point (3, 0)

Substituting we have

The graph of the line is

Given:

a.) A cube is partially filled with 4 mm of water.

b.) The water is 1 mm high

Let's draw the scenario to better understand the problem,