Answer:
The cost at Pauline's print store can be described with the following equation, where y represents the cost in dollars of x copies:
y = 0.05x, because 1.25/25 = 2.75/55 = 90/4.50 = 0.05
Carla's Copy Shop charges a higher unit right
and it is $0.04 higher per copy
Step-by-step explanation:
Hope this helps. Much appreciated if Brainlisest.
here is a long division calculation of 917 ÷ 7 in words, explain the steps used to solve.
Step-by-step explanation:
Step 1: Create a division problem with the numbers being divided lined up one above the other.
Step 2: Divide the first digit of the dividend (917) by the divisor (7), and write the quotient (130) above the dividend.
Step 3: Multiply the divisor (7) by the quotient (130) and write the product (910) below the dividend (917).
Step 4: Subtract the product (910) from the dividend (917) and write the difference (7) below the product.
Step 5: Bring down the next digit of the dividend (917), making the next number to divide (7).
Step 6: Divide the new number by the divisor, and write the quotient, this case 0 (since 7 doesn't divides into 7) above it, and add the remainder, which is still 7.
Step 7: The remainder is the final result of the division. 917 divided by 7 is 130 with a remainder of 7, so the final answer is 130 remainder 7, this can be represented as 130 R 7.
Note: Even though it is not shown in the explanation above, to check the solution is correct, you could also multiply the quotient (130) by the divisor (7) and add the remainder (7) to get back to the dividend (917)
It's also worth to note that the final remainder could be seen as the number we couldn't divide and the quotient as the result of the division.
What are all of 2 factors?
The factor of 2 is 1 and 2.
What is a factor?
In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.
Factors are also known as divisors. This means they can divide evenly into the number they're a factor of.
Here,
We have to find the possible factors of 2.
We concluded that the factor of 2 is 1 and itself.
Factors of 2 are all the numbers which on multiplying give the result of 2. Factors of 2 are 1 and 2 only.
Hence, the factor of 2 is 1 and 2.
To learn more about the factor from the given link
https://brainly.com/question/28923509
#SPJ4
Equivalents are things that are equal or have the same value. in mathematics, for example, the fraction 3/4 and the decimal ______________ are the same value
Equivalents are things that are equal or have the same value. in mathematics, for example, the fraction 3/4 and the decimal 0.75 are the same value
Any 2 terms in mathematics are said to be equivalent if the are identical in terms of values. They do not necessarily have to be "equal"
For example, 8 can be said to be equal to 8 but 8 is "equivalent" to
4 + 4
1 + 7
10 - 2 etc.
This can also be considered for conversion systems.
For example- 1 kg is equvalent to 1000 grams.
Just like in all the examples we considered before, equivalency can be drawn when fractional forms are converted into decimal forms.
1/2 is equivalent to 0.5
Hence for 3/4, we need to write a decimal value for the same
3/4 = 75/100 = 0.75
Hence 3/4 will be equivalent to 0.75
To learn more about Equivalency visit
https://brainly.com/question/14672772
#SPJ4
6r - 6t = 6 and 3r - 6t = 15
Answer: r = -3, t = -4
Step-by-step explanation:
6r-6t=6
3r-6t=15
Using the elimination method, you can get
3r=-9
r=-3
Substitute -3 for r, and you get
-9-6t=15
-6t=24
t=-4
r=-3,t=-4
Answer:
r,t=-3,-4
Step-by-step explanation:
[1] 6r - 6t = 6
[2] 3r - 6t = 15
10. Below are the results for
finding the solution to a
system of equations. State
how many solutions the
different results yield and
explain why.
-5 = -5
An amusement park attraction has a sign that indicates that a person must be 48 inches tall to ride the attraction. The following box plot shows the heights of a sample of people who entered the amusement park one day. Based on the box plot, approximately what percent of the people who entered the amusement park met the height requirements for the attraction?
Based on the attached boxplot, approximate percentage of the people who entered the amusement park met the height requirement for the attraction is 50%.
What is a boxplot and how to read it?A boxplot is a way to present a five number summary in a box chart. The main part of the box shows where the middle portion of the data, the interquartile range. At the ends of the box, we will find the first quartile (Q1 or the 25% mark) and the third quartile (Q3 or the 75% mark). The bottom of the box is the minimum (the smallest number in the set) and the top of the box is the maximum (the largest number in the set). And, the median is represented by a line in the center of the box.
From the boxplot can be seen that:
Minimum = 43
Maximum = 64
Q1 (first quartile) = 46
Q3 (third quartile) = 58
Median = 48
In the passage, given that a person must be at least 48 inches tall to ride the attraction. So, this is the same number as median value, that is 48. Thus, 50% the amusement visitors are eligible for the requirement, and the 50% others are not.
Hence, the percentage of the people who entered the amusement park met the height requirement for the attraction is 50%.
Learn more about boxplot at: https://brainly.com/question/12992903
#SPJ4
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, A) if two cards are randomly selected with replacement.
one third
one ninth
two thirds
two sixths
The probability of the two cards being A and A, P(A, A), is 1/9.
The correct option is the second option, one ninth.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
A set of 3 cards, spelling the word ADD, are placed face down on the table.
And we have to determine P(A, A) if two cards are randomly selected with replacement.
From the formula for probability, we have that
P(A) = Number of favorable outcomes / Total number of possible outcomes
P(A) = 1/3
Then,
The probability of selecting two cards that have A and A with replacement is,
P(A, A) = P(A) × P(A)
P(A, A) = 1/3 × 1/3
P(A, A) = 1/9
Therefore, the probability is 4/9.
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
The length of a rectangle is 4 inches shorter than it’s width. The perimeter of the rectangle is 80 inches. what are the length and width of the rectangle?
Answer:
Suppose that x is the length and y the width of the rectangle. Then we have 2x+2y=80 and x=y+4. Therefore, 2(y+4)+2y=80 or 4y+8=80 or 4y=72 or y=18 and x=22
Step-by-step explanation:
2x + 3 - x - (-1) = 2x - 2 - x
Answer: The equation is false.
Step-by-step explanation:
2x+3-x-(-1) = 2x-2-x
2x+3-x+1=2x-2-x
x+4=x-2
4 ≠ -2
What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1
The solution set of the given system is (5/7, 12/7).
Now, According to the question:
The given equations are:
5x + 2y = 7 …. (1)
y = x + 1 ….. (2)
Let us solve the system of linear equations using the substitution method.
Substituting equation (2) in (1)
5x + 2(x + 1) = 7
By further calculation
5x + 2x + 2 = 7
So we get
7x = 7 - 2
7x = 5
Divide both sides by 7
x = 5/7
Substitute the value of x in equation (2)
y = 5/7 + 1
Taking LCM
y = (5 + 7)/7
y = 12/7
Therefore, the solution set of the given system is (5/7, 12/7).
Learn more about Linear Equation at:
https://brainly.com/question/11897796
#SPJ4
3 customers entered a store over the course of 12 minutes. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
A table of equivalent ratios for the number of customers and minutes for customers that entered the store are as follows:
Customers Hours
1 4
12 6
10 40
What is a proportional relationship?In order to have a proportional relationship and equivalent ratios, the number of customers (x) and the number of minutes (y) must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 12/3
Constant of proportionality (k) = 4.
When minutes y = 4, the number of customers (x) is given by:
x = y/k
x = 4/4
x = 1.
When the number of customers (x) = 10, the number of minutes (y) is given by:
y = kx
y = 4(10)
y = 40.
Next, we would use an online graphing calculator to plot the points on a coordinate axes as shown in the image attached below.
Read more on proportionality here: brainly.com/question/12866878
#SPJ1
HELP QUICK!! please <3.
Answer:
67
Step-by-step explanation:
.__. that it
it costs £101.50 to buy 7 dresses. how much does it cost to buy 10 dresses give you answre in pounds
Answer:
£145
Step-by-step explanation:
£101.5 divided by 7 gives you £14.5 per each dress then times the £14.5 by 10 and that will give you in total £145 for 10 dresses
Find Overtime and Gross
Pay per week.
Pay Rate: $9.58/hour
Total hours worked last
week: 48
Answer:no
Step-by-step explanation:
1. N
2. O
David has a weekend job cleaning windows. He charges different amounts for different size windows. Choose the statement below that is true. A The size of the window depends on the price charged. B The price charged depends on the size of the window. C The size of the window depends on how long it takes to wash. D The time it takes to wash a window depends on the price charged.
The price charged depends on the size of the window.
Option (B) is correct.
What is a direct proportion?
Direct proportion is a relationship between two variables, where the ratio of their values is always constant. This means that if one variable increases, the other variable will also increase in the same ratio.
B) The price charged depends on the size of the window.
The statement that is true is that the price charged by David for cleaning windows depends on the size of the windows. It means that the larger the window, the more David charges for cleaning it. The size of the window is a factor in determining the price and not the other way around.
Hence, the correct statement would be "The price charged depends on the size of the window.".
To learn more about the direct proportion, visit:
https://brainly.com/question/1266676
#SPJ1
What is substitution technique?
The substitution technique includes simplifying the given equation, solving one of the equations for any unknown value, substituting the step 2 solution in another equation, solving the new equation, and finally solving the equation to find the second variable.
The substitution method is the algebraic method to solve different linear equations. In this technique, the value of one variable from either of the equation is substituted in the other equation.
In this technique the following steps are used to solve an equation by substitution method:
Step 1. Simplify the given equation by removing the parenthesis.
Step 2. Solve one of the equations for any unknown value.
Step 3. Substitute step 2 result in the other equation.
Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.
Step 4. Finally, solve the final equation for the second variable.
To know more about variable, here
https://brainly.com/question/29583350
#SPJ4
Geometry : Parallelogram
Can I get help with this question?
Answer:
15° & 75°
Step-by-step explanation:
An equilateral triangle is one in which all three sides are congruent. It also has the property that all three interior angles are equal. In other words, all three angles of an equilateral triangle are always 60°.
So ∠ABE = 90+60=150.
because ABCD is square so AB = BC
because BEC is equilateral triangle, so BC = BE = AB
so we know in ABE triangle the 2 sharp angles are the same
so ∠AEB = (1/2) * (180-150) = 15
so ∠DAE = 90-15 =75
The sum of two numbers is 36 and the difference is 12. What are the numbers?
Answer:
x=24, y=12. (24, 12).
Step-by-step explanation:
Let x and y be the two numbers that we seek.
Then x+y=36 and x-y=12.
x+y=36
x-y=12
----------
2x=48
x=48/2
x=24
24+y=36
y=36-24=12
Ms. Higgins has 28 students in her gym class. She puts them in 4 equal groups. How many students are in each group?
Answer:
each group will have 7 students in it.
Step-by-step explanation:
Ms. Higgins has 28 students in her gym class and wants to put them in 4 equal groups.
divide the total number of students by the number of groups.
28 students / 4 groups = 7 students per group.
So, each group will have 7 students in it.
What is 3 to the 3rd exponent?
The expression "3 to the 3rd exponent" means that the number 3 is multiplied three times and is represented as 3³ and the value of this expression is 27 .
The expression is given as ; "3 to the 3rd exponent" ;
we have to represent it in exponential form and find the value ,
The number 3 to the 3rd exponent means that , the number 3 is multiplied three times , which is denoted as : ⇒ [tex]3\times 3 \times 3[/tex] ;
Since the base of all the numbers is same that is 3 , So , by the Law Of Exponents , the exponents/powers gets added ;
So , the expression becomes ⇒ [tex]3^{1+1+1}[/tex] ;
On adding the exponents ,
we get ;
⇒ [tex]3^{3}[/tex] ;
and the value of this exponential form is 27 .
Learn more about Exponential Form here
https://brainly.com/question/13290418
#SPJ4
which statements describe scientific laws but not theories or hypothesis check all that apply
The assertions are thought to be established truths since they explain scientific laws rather than speculations or Fourier's hypotheses and do not offer justifications for their veracity.
What are the laws of science?Scientific rules are those that have been established by experimenters or scientists after years of observations and experiments for scientific purposes. Laws are not established facts. They don't even offer an explanation for why scientific rules hold true.
What are the five scientific laws?The five most well-known scientific laws are: Bernoulli's law of fluid dynamics; Dalton's law of partial pressures; Hooke's law of elasticity; and Fourier's law of heat conduction.
To know more about Fourier's visit:-
brainly.com/question/29648516
#SPJ1
The correct question is -
Which statements describe scientific laws but not theories or hypotheses? Check all that apply.
They are likely to change as new evidence is discovered.
They do not provide explanations for why they are true.
They are considered to be proven facts.
They have not yet been tested.
They are the bases for experiments instead of the results.
The lateral surface area of a cylinder of length 14m is 220m². Find the volume of the cylinder.
The volume of the cylinder is 275m³.
We have given that,
Lateral surface of cylinder = 220m²
Height (h) = 14m
Let radius of cylinder = r
Then 2πrh = 220m²
⇒ × 22/7 × r × 14 = 220m²
[tex]$ \Rightarrow \text r = \frac{220 \times 7}{2 \times 22\times 14}[/tex]
[tex]$ \Rightarrow \text r = \frac{220 \times 7}{2 \times 22\times 14}[/tex]
[tex]$ \Rightarrow \text r = \frac{5}{2} = 2.5[/tex]
Now we can find the volume,
Volume of cylinder = πr²h
= 22/7 × (2.5)² × 14
= 22 × 6.25 × 2
= 275m³
Thus, the volume of the cylinder is 275m³.
Learn more about volume
https://brainly.com/question/28058531
The volume of the cylinder is 274.75 cubic meter.
What is lateral surface area?All of the sides of the object are the lateral p of an object, except its base and top (when they exist). The lateral surface area is the lateral surface zone. This is to be distinguished from the overall surface area, which, along with the base and top areas, is the lateral surface area.
Given that, the lateral surface area of a cylinder of length 14m is 220 m².
We know that, the lateral surface area of a cylinder is 2πrh.
Here, 2πrh=220
2×3.14×r×14=220
87.92r=220
r=220/87.92
r=2.5 meters
We know that, the volume of a cylinder is πr²h
Here, volume = 3.14×2.5²×14
= 3.14×6.25×14
= 274.75 cubic meter
Therefore, the volume of the cylinder is 274.75 cubic meter.
Learn more about the lateral surface area here:
https://brainly.com/question/14001755.
#SPJ5
If you have a rewards card at Biggby, you earn a free drink after every 12 drinks you buy. Can the total amount of money spent at Biggby after ordering n drinks be considered arithmetic? Why or why not?
Part E
The solution to the system of equations representing Aiden’s and Natalie’s data is shown on the graph.
Analyze the solution to the system to determine whether there is a catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance. Explain your reasoning
Both Aiden's and Natalie's tennis balls can cover the same distance of the catapult length is 40.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
Given:
As, we know the linear intercept form,
y = mx + b
Where m is the rate of change (slope) and b is the initial value of y.
Now, From the graph of both Aiden's and Natalie's data, we can see that the point of intersection is at (-40, 90).
Also, which shows x axis at 40 is the distance.
So, Both of them Aiden's and Natalie's tennis balls can cover the length of 40.
Learn more about linear equation here:
brainly.com/question/14323743
#SPJ1
jacks computer prints 36 pages in 2 minutes and 24 sec At that rate how many more seconds will it take for 5 more pages
The time taken to print the 5 more pages will be 1.25 seconds.
Define the unitary method?The unitary strategy involves calculating the value of an individual unit, from which we can derive the values of the appropriate number of units.For the stated question-
The printer at Jack's prints 36 pages in 2 minutes and 24 seconds.
This can be written as;
2*60 + 24 seconds ---> 36 pages
120 + 24 seconds ---> 36 pages
144 seconds ---> 36 pages
Time taken to print 1 page.
1 page ---> 36 / 144 seconds.
Thus, to print 5 more pages.
5 page ---> 36 / 144 * 5 seconds.
5 page ---> 1.25 seconds.
Thus, the time taken to print the 5 more pages will be 1.25 seconds.
To know more about the unitary method, here
https://brainly.com/question/8083231
#SPJ1
What are the solutions of the inequality 2x² x 6 0?
The solutions of the inequality [tex]2x^{2} + x - 6 = 0[/tex] are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form [tex]ax^{2} +bx + c = 0[/tex], the solutions are [tex]x = -b +/-\sqrt{b^{2} -4ac} /2a[/tex].
Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49
Solution 1: x = [tex]-b + \sqrt{b^{2} -4ac} /2a[/tex] = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2
Solution 2: x = [tex]-b-\sqrt{b^{2} -4ac} /2a[/tex]= (-1 - √49)/(2×2) = -8/4 = -2
So, the two solutions are 3/2 and -2.
The equation can also be written as,
[tex]2x^{2} +4x -3x-6=0[/tex]
[tex]2x(x+2) -3(x+2) = 0[/tex]
[tex](2x-3)(x+2) = 0[/tex]
x = 3/2, -2
To know more about solutions:
https://brainly.com/question/30089986
#SPJ4
Arun is driving on a long road trip. He currently has 9 gallons of gas in his car. Each
hour that he drives, his car uses up 1 gallon of gas. How much gas would be in the
tank after driving for 5 hours? How much gas would be left after t hours?
Gas left after 5 hours:
Gas left after t hours:
Please hurry
Answer:
9
Step-by-step explanation:
After driving for 5 hours, Arun's car would have used up 5 gallons of gas (1 gallon per hour for 5 hours). Therefore, the amount of gas left in the tank after driving for 5 hours would be 9 gallons - 5 gallons = 4 gallons.
To find the amount of gas left after t hours, we can use the formula:
Gas left after t hours = 9 - (1 x t)
Where t is the number of hours driven.
So, the amount of gas left after t hours would be 9 - t gallons.
After driving for 5 hours, Arun would have 4 gallons of gas left in his tank. If he drives for t hours, he would have (9 - t) gallons of gas left in his tank. The calculations are based on the fact that Arun's car uses 1 gallon of gas per hour of driving.
Explanation:To answer this question, we must understand that Arun's car uses 1 gallon of gas for every hour of driving. So, if he drives for 5 hours, his car will use 5 gallons of gas. Arun starts with 9 gallons of gas, so we subtract the 5 gallons of gas used from the 9 gallons of gas he started with. The result is:
9 - 5 = 4 gallons
So, after driving for 5 hours, Arun would have 4 gallons of gas left in his tank.
Similarly, if he drives for t hours, his car will use t gallons of gas. So, to find how much gas would be left after driving for t hours, we subtract t gallons from the 9 gallons he started with:
9 - t = (9 - t) gallons
Thus, after driving for t hours, Arun would have (9 - t) gallons of gas left in his tank.
Learn more about Fuel Consumption here:https://brainly.com/question/32793205
#SPJ2
simplify: (c+1) (c-7)
(c+1) (c-7) = cc - 7c + c - 7 = c^2 - 7c - 7
So the simplified form of (c+1) (c-7) is c^2 - 7c - 7
Answer:
[tex]c^2-6c-7[/tex]
Step-by-step explanation:
[tex](c+1) (c-7)[/tex]
Apply the FOIL mothed.
[tex]cc+c\left(-7\right)+1\cdot \:c+1\cdot \left(-7\right)[/tex]
[tex]c^2-6c-7[/tex]
simplify the following-
8^6 ÷ 8
Answer:
32768
Step-by-step explanation:
8^6 ÷ 8
8^6= 262144
262144 ÷ 8 = 32768
32768
Hope this helps.
Simplify the expression 2v+8v-5v
[tex]2v+8v-5v[/tex]
Combine Like Terms:
[tex](2v+8v-5v)[/tex]
[tex]\fbox{5v}[/tex]