2 printers takes 7 minutes to print the same number of leaflets.
From the question, we have
1 printers takes 14 minutes to print the leaflets.
2 printers takes = 14/2 = 7 minutes to print the leaflets.
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Answer: 7
Step-by-step explanation: because 1 printer takes 14 mins but if u have 2 u half the 14 it gives you 7 so it will take 2 printers 7 mins to print the same amount of leaflets. hope this helps.
earns $14.50 per hour. His regular hours
are 40 hours per week, and he receives
time-and-a-half overtime. Find his total pay
for a week in which he works 46 hours.
Answer: 667
Step-by-step explanation:
14.50 x 46
David weighed himself each week and recorded a gain of 3.5 pounds, a loss of 8.6 pounds, a loss of 2.1 pounds and a gain of 1.4 pounds. What is David’s overall gain/loss of weight?
Using simple mathematical operations, David's overall loss is -5.8.
What do we mean by mathematical operations?Calculating a value while using operands as well as a math operator is known as a mathematical "operation."The supplied operands or integers must comply with a specified set of standards pertaining to the symbol of the math operator.A rule that outlines the appropriate procedures to follow when examining a mathematical equation is known as the order of operations.You can recall the PEMDAS actions parenthesis, exponents, multiplication, dividing (from Left to Right), adding, and subtracting in this order (from left to right).So, the overall gain/loss of David is:
Gain: 3.5 pounds, 1.4 poundsLoss: 8.6 pounds, 2.1 poundsNow, calculate loss/gain as follows:
3.5 + 1.4 - 8.6 - 2.14.9 - 10.7- 5.8Therefore, using simple mathematical operations, David's overall loss is -5.8.
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A helicopter drops a bucket of water onto a forest fire from 38 meters above the blaze. How long does it take the water to fall and reach the flames?
The required time that would it takes to reach the flames is 2.78 sec.
Given that,
A helicopter drops a bucket of water onto a forest fire from 38 meters above the blaze how long it takes the water to fall and reach the flames is to be determined.
Here,
According to the question,
The initial velocity of the water is u = 0, and s = 38
Speed gain by the water is due to the acceleration due to gravity g = 9.8.
The time for water to reach to the ground is given by the second equation of motion.
s = u²t + 1/2gt²
Substitute the values in the above equation,
38 = 1/2(9.8)t²
(9.8)t² = 76
t = √(76/9.8)
t = 2.78 sec.
Thus, the required time that would it takes to reach the flames is 2.78 sec.
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Maya bought a new pack
of trading cards. The cards
originally cost $5.00. She had a
coupon for 20% off. How much
did Maya have to pay for the
trading cards after the coupon?
The table and corresponding frequency polygon show information about the
waiting times of some patients at a dentist.
What fraction of patients waited for more than 7 minutes?
Frequency
10
5
5
Waiting time (a minutes)
10
P
Waiting time
(a minutes)
5< x≤6
6<257
7<#58
8< x≤9
9< x≤ 10
The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312
What is a fraction in mathematics?A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.
The area under the frequency curve is found as follows;
Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;
(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2
The area for those that have a waiting time of more than 7 minutes is therefore;
(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9
The fraction that have a waiting time of more than 7 minutes is therefore;
26.9/31.2 = 269/312 ≈ 0.862
The fraction of the patients that have a waiting time of more than 7 minutes is 269/312
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State whether the simplification below is true or false 5^-2=1/25
Answer:
true
Step-by-step explanation:
5^ -2
(1/5)^2
1/25
Answer:
That's true :
5^-2= 1/5^2= 1/25
so yes : 5^-2=1/25
Step-by-step explanation:
At which values of x does the function F(x) have a vertical asymptote? Check
all that apply.
F(x) =1/7(x + 2)(x+3)
The vertical asymptote of a given function is x = -2 and x = -3.
What is the vertical asymptote of a function?
A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. It appears at the x-value that is outside the domain of the function, therefore the graph can never cross it.
To find the vertical asymptotes, set the denominator equal to zero and solve for x.
For the given function,
[tex]F(x) = \frac{1}{7(x+2)(x+3)}[/tex]
To find the vertical asymptote, equate the denominator to zero.
7(x + 2)(x + 3) = 0
(x + 2)(x + 3) = 0
x + 2 = 0 (or) x + 3 = 0
x = -2 (or) x = -3
Hence, The vertical asymptote of the given function is x = -2 and x = -3.
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What is the largest integer that is less than √83-√35?
Answer:
3
Step-by-step explanation:
√83-√35 = 3.1943537960446828393782978131270521416836379374706155296172187959...
Step-by-step explanation:
we need to remember the squared numbers of the baud integers :
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
so, what squared integers are closest to 83 and 35 ?
well, 81 (9²) and 36 (6²).
so, the result has to be closest to 9 - 6 = 3.
83 is larger than 81 than 35 is smaller than 36. so, 3 is less than sqrt(83) - sqrt(35).
therefore, the correct answer is indeed 3.
Which rule describes the transformation
R₀, 270° is the rule that describes the transformation
How to determine the rule that describes the transformation?
Rotation simply means turning. In a cartesian plane, if a point P, whose position vector is (x,y), is rotated through θ° about the origin, the position of the image P' is
a. (-y, x) for θ = 90°
b. (-x, -y) for θ = 180°
c. (y, -x) for θ = 270°
Given the: Triangle RST with vertices R(2, 0), S(4, 0), and T(1, -3). And the image of triangle RST after a rotation has vertices R'(0, -2). S'(0, -4), and T(-3, -1)
From the given vertices it is obvious that the relation between preimage and image is defined as
(x, y) => (y, -x)
Therefore, the rule that describes the transformation is (y, -x) for θ = 270° (i.e. when the figure rotates 270° counterclockwise). So the third option (R₀, 270° ) is the answer.
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Which tool helps you record your transactions?
A.
check leaf
B.
checking account
C.
check register
quadrilateral PQRS is a scaled copy of quadrilateral ABCD Point p corresponds to A, q to B R to c and s to d
If the distance from P to R is 3 units, then the distance from Q to S is; 3 units
How to Interpret a scaled graph?
We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;
P → A
Q → B
R → C
S → D
We are also told that the length of PR = 3 units.
Now, from the given image, we see that;
AC = 6 and BD = 6
We also know that;
AC corresponds to PR
BD corresponds to QS
Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.
Therefore, the value of QS is: QS = 3
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Complete question is;
Here is Quadrilateral ABCD.
Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.
Q to B. R to C. and S to D.
1. If the distance from P to R is 3 units, what is the distance from Q to S?
( q2 − r2s) ( q4 + q2r2s + r4s2)
For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.
The types of variation and their constants are;
1) Direct variation with constant of variation as -1/4
2) Direct variation with constant of variation as ³/₂
How to Interpret Mathematical Variations?A variation is defined as a relation that exists between a set of values of one variable and then a set of values of other variables.
In variation, if the variables change proportionately that is they either increase together or decrease together, then they are said to vary directly.
1) We are given the equation;
4y = -x
Now, y is the output while x is the input and so we make y the subject to get; y = -¹/₄x
Now, writing the relationship between y and x as a variation, we will have; y ∝ x
For this to be equal, there has to be a constant of proportionality which means; y = kx
Comparing with our equation tells us that;
This is a direct variation with constant of variation as -1/4
2) We are given the equation;
3x = 2y - 7
Rearranging gives;
2y = 3x + 7
y = ³/₂x + 7
Now, the greater the value of x, the greater the value of y and as such this is also a direct variation with the constant of variation being 3/2.
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The sum of two numbers is 14 and the difference between the numbers is 20. What could one of the numbers be?
The number will x=17 and y=-3 as the sum of two numbers is 14 and the difference between the numbers is 20.
What is arithmetic operation?The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators. One operand is added to the other in addition. On the provided operands, the operator is accustomed to performing mathematical operations like addition, subtraction, multiplication, division, modulus, etc. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.
Here,
x+y=14
x-y=20
subtract equation,
2y=-6
y=-3
x+y=14
x-3=14
x=17
The result will be x=17 and y=-3 because the sum of the two numbers is 14 and their difference is 20.
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$6000 are invested in a bank account at an interest rate of 6 percent per year.
Find the amount in the bank after 11 years if interest is compounded annually.
Find the amount in the bank after 11 years if interest is compounded quarterly.
Find the amount in the bank after 11 years if interest is compounded monthly.
Finally, find the amount in the bank after 11 years if interest is compounded continuously.
The value after 11 years with annual compounding is $11,389.79
The value after 11 years with quarterly compounding is $11,552
The value after 11 years with monthly compounding is $11,589.68
The value after 11 years with continous compounding is $70,080.78.
What is the future value?When an amount is compounded annually, it increases in value once a year. When an amount is compounded quarterly, it increases in value four times a year. When an amount is compounded monthly, it increases in value twelve times a year. When an amount is compounded continuously, it increases continuously over the investment period.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate - annual rate / number of compounding m = number of compoundingN = number of yearsValue after 11 years with annual compounding: $6,000 x (1.06)^11 = $11,389.79
Value after 11 years with quarterly compounding: $6,000 x (1 + 0.06 /4)^(11 x 4) = $11,552
Value after 11 years with monthly compounding: $6,000 x (1 + 0.06 /12)^(11 x 12) = $11,589.68
The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateValue after 11 years: 6,000 x (2.718^0.06) x 11 = $70,080.78
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I am running out of points please help I have 13
Answer:
(A∩B)={1,15}
Step-by-step explanation:
Jaxon bought 10 2/3 pound of apples at the farmer’s Market. If the apples cost $1.80 per pound,how much did jaxon pay for the apples , in dollars and cents
The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.
Given,
The quantity of apple bought by Jaxon = 10 2/3 pounds
The cost of one pound of apple = $1.80
We have to find the total amount Jaxon should paid for the apples, in dollars and cents;
Here,
Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple
Total amount Jaxon should paid = 10 2/3 × 1.80
Total amount Jaxon should paid = 12 dollars
1 dollar is equal to 100 cents
Then,
12 dollars = 12 x 100 = 1200 cents.
Therefore,
The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.
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8. On the number line below, plot a point on -7 and the opposite of -7. Then, explain their location in
Relation to Zero
Any number between -7 and 7 can be located in the number line.
What is a number line?The number line is a horizontal line that has equally spread number increments.
Given a number line, suppose we plot -5 on it, which is between -7 and 7
Then, its position will be 5 units left of 0 on the number line.
Hence, -5 is the point between -7 and 7 on the number line, which is 5 units left on 0.
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Find the values of x and y.
Answer: The correct answer is x = 50
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
This is a right-angled triangle, so one of the angles is 90 degrees + x +y
Therefore: 90 + y + x = 180
Substitute the variables:
90 + 40 + x = 180
130 + x =180
Subtract 130 from each side:
(-130) 130 + x =180 (-130)
x = 50
Complete using trend analyses for sales. (Round to nearest percent and use 2010 as the base year.) 2013 2012 2011 2010 Sales $ 158,000 $ 615,000 $ 280,000 $ 500,000 (A) (B) (C) (D)
The completion of the trend analysis for sales with 2010 as the base year is as follows:
Trend Analysis of Sales:2013 2012 2011 2010
Sales $ 158,000 $ 615,000 $ 280,000 $ 500,000
Trend Analysis 32% 123% 56% 100%
What is trend analysis?Trend analysis uses observed historical data to predict future developments and monitor performances about a particular topic.
Undertaking a trend analysis for sales, which is a technical analysis, involves setting a base year. The sales figure for the base year is set to 100% and used to check changes during the review periods.
The other years' sales results, in percentages, are compared to the base year by dividing each year's sales by the base year.
Sales Trend Analysis:2013 (D) = 32% ($158,000/$500,000 x 100)
2012 (C) 123% ($615,000/$500,000 x 100)
2011 (B) 56% ($280,000/$500,000 x 100)
2010 (A) = 100% ($500,000/$500,000 x 100)
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Complete the statement about the model. The model shows that there are 4 pieces that are each (?) ft long.
The correct statement about the model, using proportions, is given as follows:
The model shows that there are 4 pieces that are each 0.75 ft long.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of the problem.
The application of proportions in this problem is to find the length of each piece, which is obtained as the division of the total length of the model by the number of pieces, hence:
Length of each piece = Total length/number of pieces.
The measures are given as follows:
Total length: 3 ft.Number of pieces: 4 pieces.Hence the length per piece is given by:
3 ft / 4 = 0.75 ft.
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Answer:
answer is 3/4!!! hope this helped
When you add an integer to +3, a negative sum or postive sum is possible. Use an example to show each possibilty.
It is true that when you add an integer to +3, a negative sum or postive sum is possible. An example is 2 + 3 = 5 and -4 + 3 = -1
How to calculate the value?It should be noted that from the information,we want to prove that addition of +3 to an integer can either be negative or positive.
This will be:
= 2 + 3
= +5
In this case, it gives a positive number.
Also, -4 + 3
= -1
This gives a negative number.
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find the standard form of the equation of the circle with end points of a diameter at the point (2,3) and (-5,5)
find the value of the ratio (red to blue) of the areas of the similar figures. Write the ratio as a fraction in simplest form. 12 and 8
The ratio of the areas of the similar figures is given as follows:
225/16.
What are similar figures?Similar figures are figures that share these two features:
Congruent angle measures, that is, the same angle measures.Proportional side lengths.The ratio of the side lengths of the similar figures can be represented as follows:
(b/a).
The side length is measured in units, while the area is measured in units squared, hence the ratio of the areas of the similar figures is represented as follows:
(b/a)² = b²/a².
From the image of the right triangle shown at the end of the answer, the ratio of the side lengths is:
15/4.
Hence the ratio of the areas of the figures is given as follows:
(15/4)² = 225/16.
Missing InformationThe figures are given by the image at the end of the answer.
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Linda estimates the number of questions she answered correctly on a test. She answered 8 correctly with probability 0.6, 15 correctly with probability 0.3, and 20 correctly with probability 0.1. What is the expected value of the number of questions Linda answered correctly?
Linda' number of questions has an expected value of 11.3
How to determine the expected value of number of questions?The given parameters in the question are:
8 questions with probability 0.6,
15 questions with probability 0.3
20 questions with probability 0.1
The expected value is then calculated as
E(x) = Sum of (number of questions * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 8 * 0.6 + 15 * 0.3 + 20 * 0.1
Evaluate
E(x) = 11.3
Hence, the expected value is 11.3
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Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days?
She would walk__km in 40 days.
Answer:
124 km
Step-by-step explanation:
Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days? She would walk__km in 40 days.
First, figure km per day:
43.4/14 = 3.1 km per day
3.1 * 40 = 124 km
She would walk 124 km in 40 days.
Please help me find the slope on the lined graphed below??
Answer:
2/3
Step-by-step explanation:
The gradient is found by doing rise/run. If you go to a point on the line you can then rise 2 squares and run 3 to the right. This means that the gradient is 2/3. It is not negative as the line is going up.
Please help me solve this equation
[tex]39 + \frac{1}{7}r[/tex] when r = -1/2
[tex]39 + \frac{1}{7}*\frac{-1}{2} \\\\39 + \frac{-1}{14}\\\\[/tex]
= 38.92857 (in decimal form)
= 545/14 (in fractional form)
HELP PLEASE!!
Are these expressions equivalent?
Drag and drop a symbol to correctly complete the comparison.
5+9-2^3___4^2-6
A. =
B.≠
The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expressions are given below.
(5 + 9 - 2³) and (4² - 6)
Simplify the expression, then we have
(5 + 9 - 2³) = 5 + 9 - 8 = 6
(4² - 6) = 16 - 6 = 10
The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.
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85 POINTS + BRAINLEIEST PLEASE NEED THIS DONE SOON!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
A. The data modeling the relation is an exponential function.
B. The function is: y = 2^x.
C. The rate of change from x = 2 to x = 4 is of 4.
What is an exponential function?The definition of an exponential function is presented as follows:
[tex]y = ab^x[/tex]
In which the variables of the function are listed as follows:
a is the numeric value of the function when the input is of x = 0.b is the rate of change of the function, which is the constant by which y is multiplied when x is increased by one.From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:
b = 2.
When x is increased by n, the rate of change is:
b^n = 2^n.
Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:
2² = 4.
When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:
a = 2/2 = 1.
Then the exponential function is:
[tex]y = 2^x[/tex].
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