abby can buy an 8-pound bag of dog food for7.40 or a 4-pound bag of the sane dog for 5.38 which is the better buy

Using proportions, it is found that 1,667 total votes were cast.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Sherry Smith received 36% of the votes, which is equivalent to 600 votes, hence:

0.36x = 600

x = 600/0.36

x = 1,667.

1,667 total votes were cast.

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The four consecutive odd integers are: 51 , 53 , 55 and 57.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as,

addition, subtraction, multiplication, division, etc.

For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.

Types of algebraic expressions may further be distinguished in the following five categories. monomial, polynomial, binomial, .trinomial. multinomial.

the expression: 3/4x + y/2 (4x + 7) By using the distributive property, the given expression can be written as,

3/4x + y/2 (4x) + y/2 (7).

The sum of 4 consecutive odd integers is 336, how do you find the largest integer? because odd consecutive integers differ from each other by 4. Value of x can be determined by adding up assumed terms and equating it with 336.

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Answer:

Step-by-step explanation:

Answer:

the table shows how much of each

Step-by-step explanation:

The skier have to go for 7 days skiing in order to make the season pass less expensive than the daily basis.

Cost of daily pass = $70

Cost of season ski pass = $450

Let the cost of skiing per day = 'x'

Now we will equate the season pass plus ski rentals to daily skiing plus ski rentals :

450 + 30x = 70x + 30x

We have 30x on both sides, so those can cancel out easily :

Then we get,

    450 = 70x

Dividing both sides by 70 :

        x = 6.42

We can't pay for a partial day, so the skier will have to ski for at least 7 days to make the season pass cheaper than getting daily passes.

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In a normal distribution, x = 9 and z = −1.21. This tells you that x = 9 is 1.21 standard deviations to the left the mean.

The z-score is a mathematical measure that allows us to see how much above or below the mean a value in a distribution is in terms of standard deviation.

When the value is above or right of the mean, the z-score would be positive and when the z-score is left or below the mean, the z-score would be negative.

In this instance, x = 9 has a z-score of -1.21 which means that it is 1.21 standard deviations to the left of the mean.

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The amount that will be left based on the information will be 60100 - 23s - 28t - 14r.

Total number of soles = 60100

From the information, she bought 23 stoves, 28 television, and 14 refrigerators.

Therefore, the amount that will be left based on the information will be:

= 60100 - 23s - 28t - 14r

where s = stove

t = television

r = refrigerator

Therefore, the amount that will be left based on the information will be 60100 - 23s - 28t - 14r.

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Answer:

80 days

Step-by-step explanation:

Total wanted ($400) divided by how much per day ($5)= Total amount of days

$400/$5= 80 days

Answer:

80 days

Step-by-step explanation:

Total wanted ($400) divided by how much per day ($5)= Total amount of days

$400/$5= 80 days

Answer:

2

Step-by-step explanation:

The scale is equal to 1:500.

The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."

if 1 cm on the map corresponds to 100 cm on actual ground then the scale of the map is given by the ration 1:100.

Scale of map is widely used in cartography and constructions.

The given condition states that 3 cm to 15 m.

We know that 1 cm =100 meters

Hence 15 meters = 15 × 100 cm =1500 cm

Therefore length on map = 1 cm

Length on ground = 1500 cm

Scale = distance on map : distance on ground

or, Scale = 3 : 1500

or, Scale = 1: 500.

Therefore the scale is 1: 500.

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After using 25 square block, a quilt has been prepared by Wei-Min that has an area of 100 square inches. The length of each side of a block is 2 inches by calculating using concept of mensuration.

As per the question statement, Wei-Min makes a square quilt that has an area of 100 square inches and has got 25 square blocks, each the same size. We are supposed to find the length of each side of a block.

Using concept of mensuration,

Area of square quilt = 100 square inches

Number of block used = 25 square blocks

Therefore, area of each block = 100/25 = 4 square inches

As the block is a square, so each side will be equal in length.

Let's assume each side of square be "x" inches

Therefore x^2 = 4

or x = √4

or x = 2 inches

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Monthly income and expenditure of Ganesh will be-16680

Let Ganesh's monthly income be x

The problem can be solved using linear equation

The amount of 60% of his salary is spent which can be written as 60% of x or 0.6x

The amount of money saved by Ganesh = total salary - amount spent

                                                                     = x - 0.6x

                                                                     = 0.4x

The amount of savings made by Ganesh  as per the question = 11120

Lets equate both the equation

                          0.4x = 11120

                               x = (11120 × 100)/ 40

                              x = 27800

Hence, Ganesh's monthly salary comes out to be 27800

Ganesh's monthly expenditure = 0.6 x= 0.6 × 27800 =16680

What is a linear equation in math?

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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The required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

-15 + 0

The associative property of addition states that

(x + y) + z = x + (y + z)

This means that

(x + y) + z = x + (y + z) is a representation of the associative property of addition

From the list of given options, we have

5 + (6 + 2) = (5 + 6) + 2

The above is a perfect illustration of (x + y) + z = x + (y + z)

So, 5 + (6 + 2) = (5 + 6) + 2 is a representation of the associative property of addition

Hence, the required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2

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Answer:

5 + (6 + 2) = (5 + 6) + 2

Step-by-step explanation:

The fraction of those who were cast got major roles is 1 / 5.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.

Given that ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles.

The fraction will be calculated as below:-

Fraction of the students cast = 90 / 3 = 30

Fraction of the students selected for major roles = 6 / 30 = 1 / 5

Therefore, the fraction of those who were cast got major roles is 1 / 5.

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Answer:

No

Step-by-step explanation:

substitute x = - 4 and y = - 17 into the left side and compare the result obtained to the right side.

2y - 3x

= 2(- 17) - 3(- 4) = - 34 + 12 = - 22 < 12

thus (- 4, - 17 ) is not a solution of the inequality

Answer: 1 inch 7/8

Step-by-step explanation: 65 1/4 inches is the same and 65 2/8 inches. its now just as simple as finding the difference.

                  <-----------take 8/8 or 1 away from the 65 and add it to the 2/8                 65 2/8

-  63 3/8

----------------          

   64 10/8           <------now the equation looks like this

-   63 3/8             <----10-3 is 7    ----   64 - 63 is 1

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

  1 inch and 7/8

Answer:

The function which has a slope of 4 will be that function or line which is going through the points (2, 0) and (3, 4).

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

In the given question is saying for the second case the line goes through points  (2, 0) and (3, 4) so the slope will be

(4 - 0)/(3 - 2) = 4 hence, it will be the correct answer because it is the only line that has a slope of 4.

Answer:

On a coordinate plane, a line goes through points (2, 0) and (3, 4).

Step-by-step explanation:

Answer:

[tex]x^2 + 7x + 10[/tex]

Step-by-step explanation:

Use distributive property: (x+5)(x+2) = x^2 + 5x + 2x + 10

Combine like terms: x^2 + 7x + 10

Hope this helps :)

Have a nice day!

Answer:

[tex]x^{2} +7x+10[/tex]

Step-by-step explanation:

(x+5)(x+2)

x(x+2)+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5x+10

x^2+7x+10

The solution of the system of equation are as follows:

The system of equation can be solved as follows;

2x + 2y = 4

2x + 4y = 66

subtract equation(i) from equation(ii)

4y - 2y = 66 - 4

2y = 62

divide both sides by 2

y = 62 / 2

y = 31

Therefore, substitute the value of y in equation(i)

2x + 2(31) = 4

2x + 62 = 4

2x = 4 - 62

2x = -58

divide both sides by 2

x = -58 / 2

x = - 29

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20 people likes movies, such that  12 of these also like music, then the probability is just the quotient between:

Q = 12/20 = 0.6

The probability that a person likes music given that he/she lies movies is 0.6 or 60%

Notice that there are 5 + 7 common elements between movies and music, and a total of 20 people likes movies, such that 5 + 7 = 12 of these also like music, then the probability is just the quotient between the numbers of total people that likes movies which we know is 20, and the people that likes movies and also music.

So the quotient between 12 and 20, that will gave us the probability we want to find.

The probability that a person likes music given that he/she lies movies is 0.6 or 60%

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Answer:

(2m+5)

2

=

Use binomial theorem (a+b)

2

=a

2

+2ab+b

2

 to expand (2m+5)

2

.

4m

2

+20m+25

Answer - 4m + 2 + 20m + 25

Step-by-step explanation:

help

Brooke and Samuel each had 56 marbles as represented by the bar model.

In mathematics, a bar model is a visual representation of a subject or problem where the known and unknown quantities are represented by bars or boxes.

Let us consider that each had x marbles. Now Brooke gave away 20 marbles and Samuel gave away 44 marbles :

∴ x - 20 = 3 (x - 44)

or, x -20 = 3x - 132

or, -2x = -112

or, x = 66

Brooke and Samuel each have 56 marbles as calculated from the bar models.

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average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71

According to the question,

Given that,

Javier threw 54 pitches in game 1,

He threw 76 pitches in game 4 and

He threw 83 pitches in game 7

total pitches in all 7 games is 54 + 76 + 83 = 213

average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71

Definition

Pitches per inning pitched is a tool used to evaluate how efficient a pitcher is at getting his outs -- or how many pitches he typically needs to use to do his job. Calculating the number is easy enough. It's found by dividing a pitcher's total number of pitches thrown by his total number of innings pitched.

Pitchers with the game's best P/IP rate typically average fewer than 15 pitches per inning. A starting pitcher with those numbers would be able to go seven innings on fewer than 105 pitches.

For all games of eight or more innings, a starting pitcher must pitch at least five complete innings to receive credit as the winning pitcher. For all games of fewer than eight innings, the starting pitcher must pitch at least four innings to get credit for the win. Additionally, the winning pitcher’s team must be in the lead when he is replaced and must remain in the lead for the rest of the game.

b. If the starting pitcher does not pitch enough innings, the win is credited to a relief pitcher in the following manner:

1) The winning relief pitcher shall be the one who is the pitcher of record when his team goes ahead and remains ahead throughout the remainder of the game. No pitcher may receive credit for a victory if the opposing team ties the score or goes ahead after he has left the game.

  Exception—If a relief pitcher conforms to the above regulations but pitches briefly and ineffectively, the scorer should not credit him with a win. If a succeeding relief pitcher pitches effectively and helps maintain the lead, the scorer should award the win to that succeeding pitcher.

2) If his team maintains the lead throughout the game, and more than one relief pitcher is used, the scorer shall award the win to the relief pitcher that pitches most effectively, regardless of the number of innings pitched.

3) By pre-arrangement, if three or more pitchers are to be used, the pitcher of record shall be considered the winning pitcher.

c. When a batter or runner is substituted for a pitcher, all runs scored by his team during that inning are to his credit in determining the pitcher of record.

d. The starting pitcher shall be charged with the loss if he is replaced at any time while his team is behind and remains behind for the remainder of the game. Similarly, any relief pitcher who is the pitcher of record when the opposing team assumes the lead and never relinquishes it is charged with the loss.

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Answer:

Slope = (4/5)

Step-by-step explanation:

Point 1: (-2, 0); Point 2: (3, 4)

            (x₁, y₁)               (x₂, y₂)

       y₂ - y₁         4 - 0             4            4

m = ----------- = ------------ = ------------ = ------

       x₂ - x₁         3 - (-2)        3 + 2         5

y - y₁ = m(x - x₁)

y - 0 = (4/5) (x - (-2)

y - 0 = (4/5) (x + 2)

y - 0 = (4/5)x + (8/5)

y = (4/5)x + (8/5)

I hope this helps!

The rate of change of the linear relationship that between the playing time and the file size is: C. 120.

A linear function can be described as a function whose graph is represented as a straight line graph on a coordinate plane with all its points plotted on the graph.

A linear function is modelled by the equation which is expressed in slope-intercept form as .f(x) = mx + b.

The "m" in the equation represents the rate of change of the function, which can also be called the slope of the graph while "b" represents the y-intercept where the line intercepts or crosses the y-axis.

The rate of change of a linear function = the slope = change in y / change in x.

Use two pairs of values from the table to find the rate of change, say, (2, 240) and (5, 600):

Rate of change (m) = (600 - 240) / (5 - 2)

Rate of change (m) = (360) / (3)

Rate of change (m) = 120

Therefore, the rate of change of the linear relationship that between the playing time and the file size is: C. 120.

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Answer:

120

Step-by-step explanation: when i took the test it was right

Answer:

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

Step-by-step explanation:

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

The ratio of the point C on the line segment is 3 : 5

The line segment that completes the question is added as an attachment

On the attached line segment, we have the following points assuming that the point A is at A = 0

So, we have

A = 0

C = 3

B = 8

The above means that

AB : CB = C - A : B - C

So, we have

AB : CB = 3 - 0 : 8 - 3

Evaluate the difference

AB : CB = 3 : 5

Hence, the ratio of the point C on the line segment is 3 : 5

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The volume of the given three-dimensional figures are:

So, the volume of the cube: a³

(1) a³ = 4³ = 64ft³

The volume of the cuboid: whl

(2) whl = 4 × 6 × 3 = 72ft³

(3) whl = 2 × 3 × 5 = 30ft³

(4) whl = 2 × 5 × 8 = 80ft³

Therefore, the volume of the given three-dimensional figures are:

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The expression written in the simplest scientific notation is 6. 4 × 10^4

Scientific notation can be defined as a mathematical method of presenting numbers or figures too large or small in simpler forms.

It is also termed index form or standard form

From the information given, we have that;

Now, substitute the values

8 × 10² × 3. 2 × 10^5 / 4 × 10³

Using the rule of exponent, we have;

25. 6  × 10^2 + 5/ 4 × 10³

25. 6 × 10^7/ 4 × 10³

Divide the numbers, we have

6. 4

Take the inverse power of the denominator

6. 4 × 10^ 7 - 3

6. 4 × 10^4

Thus, the expression written in the simplest scientific notation is 6. 4 × 10^4

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Answer:

it's called the difference quotient of a function

Step-by-step explanation:

f(x+h)-f(x)/h is the slope of the secant line of a function