Rene's limeade has a weaker flavor as calculated by division of fractions.
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers. It's not necessary for this number to be an integer.When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with remainder or Euclidean division of two natural numbers yields an integer quotient,Which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.Concentration of Jaylan's limeade [tex]=\frac{3}{4} \div\frac{1}{5} = \frac{15}{4} =3.75[/tex]
Therefore as calculated by division of fractions, concentration of Jaylan's limeade is 3.75 cups of water for 1 cup of lime juice.
Concentration of Rene's Limeade[tex]=\frac{2}{3} \div\frac{1}{6} = \frac{12}{3} =4[/tex]
Therefore as calculated by division of fractions, concentration of Rene's limeade is 4 cups of water for 1 cup of lime juice.
Hence Rene's limeade has a weaker flavor as calculated by division of fractions.
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Please explain this
Determine the domain and range of the graph
Como puedo resolver estas funciones y saber su tipo?
Use units to help you answer the question. If necessary, round your answer to two decimal places.
An acre is equal to 43,560 square feet, and there are 5280 feet in a mile. If a farm has the shape of a rectangle measuring 0.9 miles by 1.5 miles, what is the area of the farm in acres?
The area of the farm in acres is 864 acres.
How to find the area of a farm?An acre is equal to 43,560 square feet, and there are 5280 feet in a mile.
Therefore,
1 mile = 5280 feet's
The farm has the shape of a rectangle measuring 0.9 miles by 1.5 miles. Therefore, let's convert to feet's
1 mile = 5280 feet's
0.9 miles = ?
cross multiply
length = 0.9 × 5280 = 4752 feet
1 mile = 5280 feet's
1.5 miles = ?
width = 1.5 × 5280 = 7920 feet's
Hence,
area of the farm = 4752 × 7920
area of the farm = 37635840
Therefore, the area of the farm in acres can be calculated as follows:
43560 ft = 1 acre
37635840 ft = ?
cross multiply
area of farm = 37635840 / 43560
area of the farm = 864 acres.
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Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?
The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).
To determine whether or not a relationship is proportional, we can see if two given ratios are the same.
Solving the QuestionWe're given:
Joe ran 400 meters in 1.5 minutes Joe ran 800 meters in 3 minutesThese pieces of information are ratios. We can write them in the following format:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
We can see if they're equivalent by finding a common denominator.
Multiply the first ratio by [tex]\dfrac{2}2[/tex]:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.
AnswerYes, there is a proportional relationship.
Divide. Please help 10 points.
Answer:
The answer to the question is the third answer
What is the value of A on the number line below?
Answer:
the answer is 435
Step-by-step explanation:
the change between each line is 105, so we start to add and then you get the resul
The value of A in the number line is the in-between of 225 and 645 so it is 435.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given the number line,
Now if we count the interval of A between 225 and 645 it is 2(same).
So A must be between 225 and 645.
So,
225 - A = A - 645
2A = 870
A = 435
Hence "The value of A in the number line is the in-between of 225 and 645 so it is 435".
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Marie is having trouble finding the answer to a math problem, so she asks her older brother for
help. He gives her a hint that the correct answer is a rational number. Assuming the hint is
accurate, which value is most likely the correct answer?
OA 1.4142135623...
OB. 2.7182818284..
OC 3.1415926535.
OD 4.1818181818...
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Let's check all the options, then we have
A 1.4142135623..., the number is an irrational number because the number is non-terminating.
B. 2.7182818284..., the number is an irrational number because the number is non-terminating.
C 3.1415926535..., the number is an irrational number because the number is non-terminating.
D 4.1818181818..., the number is a rational number because the number is terminating.
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
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to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
If u answer this question i will give brainlyest and 40 marks
Answer:
Adjacent sides.
Step-by-step explanation:
Answer:
To construct a rectangle, you must have the measurement of one side and it's adjacent side.
Step-by-step explanation:
to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)[tex]\frac{x}{3}[/tex]+6 > 12
⇒[tex]\frac{x}{3}[/tex] > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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Please help me with this, I need help like URGENT please
Answer:
1. y= = 0.5 (2, 0.5)
2. y= 0 (4, 0)
3. y= -0.5 (6, 0.5)
Step-by-step explanation:
To get your answer, you would want to plug in the x-coordinates into the equation and solve for y.
may anyone please help me with math
Answer:
In decimal
[tex] - 2.8[/tex]
As fraction
[tex] \frac{ - 14}{5} [/tex]
And as mixed fraction
[tex] - 2 \frac{4}{5} [/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex]f(x) = \frac{x - 8}{x + 11} [/tex]
Thus, plug in -6 in the variable x and solve
[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]
solve -6-8 = -14
solve -6+11 = 5
[tex] = \frac{ - 14}{5} [/tex]
Apply fraction rule
[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]
Thus
[tex] = - \frac{14}{5} [/tex]
Convert iimproper fraction to mixed fraction .
[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]
[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]
whereas
[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]
[tex] = - 2 \frac{4}{5} [/tex]
Hope it helps !!!
Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between -3 and 7
The inequality to represent the given condition is -3<x<7 .
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] It is frequently used to compare two numbers on the number line based on their sizes. Different types of inequalities are represented by a variety of notations, including:
The notation x < y means that x is less than y.The notation c > d means that c is greater than d.The notation a ≤ b means that a is less than or equal to b. The notation p ≥ q means that p is greater than or equal to q .The given statement gives the solutions of all real numbers between 3 and 7.
Therefore if we consider a real number x then, x>-3 and x<7 .
Combining together for a compound inequality: -3<x<7.
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The daily cost, in dollars, to produce x Sasquatch Berry Pies is C(x) = 3x + 36, x ≥ 0 and
the price-demand function, in dollars per pie, is p(x) = 12 − 0.5x, 0 ≤ x ≤ 24. Find the price to charge per item in order to maximize profit.
The cost per item for maximum profit is $7.50 .
The maximum and minimum value of a function f(x) is calculated by finding the first and second derivative of f(x).
If f"(x)<0 then the function f(x) has a maximum value for x at f'(x)=0.If f"(x)>0 then the function f(x) has a minimum value for x at f'(x)=0.The cost to produce x pies is given by the cost function
[tex]C(x)=3x+36[/tex]
The price demand function for each pie is given by
[tex]p(x)=12-0.5x[/tex]
Revenue gained from selling x pies
[tex]R(x)=x\times p(x)\\or,R(x)=x\times(12-0.5x)\\or,R(x)=12x-0.5x^2[/tex]
Now profit function is given by
[tex]P(x)=R(x)-C(x)\\or,P(x)=-0.5x^2+12x-3x-36\\or,P(x)=-0.5x^2+9x-36[/tex]
Now we have to find the maximum profit. We know that for a function
[tex]P(x)=-0.5x^2+9x-36\\P'(x)=-x+9[/tex]
[tex]P''(x)=-1[/tex]
At P'(x)=0
or,-x+9=0
or, x=9
As P''(x)<0 therefore the profit function P(x) is maximum for x at P'(x)=0.
The profit is maximum at x=9
Price to charge per item=12-0.5x
Substituting the value of x we get:
[tex]p(x)=12-(0.5\times 9)\\or,p(x)=12-4.5\\or,p(x)=7.5[/tex]
Therefore the cost per item for maximum profit is $7.50 .
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5-(-7)=5+______ finish the equation
Answer:
7
Step-by-step explanation:
subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven
Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending
the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer:
Step-by-step explanation:
Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending
the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer:
Step-by-step explanation:
This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.
Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that
{\displaystyle z\leq x+y,}z\leq x+y,
with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):
{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,
Helpppppop
h(x)=x^2-6
f(x)=4x+6
Evaluate f(h(3))
Answer:
18
Step-by-step explanation:
tbh I kinda forgot how to do this but ill try,
input 3 into the f(x)
4(3)+6=12+6=18
Estimate the quotient by first rounding each number.
0.0355 ÷ 2
Answer:
0.01775
Step-by-step explanation:
What percent of the days were sunny?
Calculators were purchased at $100 per dozen and sold at $30 for three calculators. What is the profit on six dozen calculators?
The profit is $
Answer:
30x100= 3000
Step-by-step explanation:
Please type the answers please help
Answer:
Step-by-step explanation:
哇,我喜歡吃很多食物,因為我喜歡並喜歡它。
Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.
Find the value of x.
to
75°
125°
x =
Answer:
USE AIR MATH!!
Step-by-step explanation:
hope that helps
What is the slope of the line represented by the equation y = -x +?
0-1/2
HELP
in the equation y= -x-1/2
the slope is -1/1 which can also be shown as -1.
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?
24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons
The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
Calculating quantityFrom the question, we are to determine how much water is left in the barrel
From the given information,
"The barrel is filled with 18 gallons of water"
and
"Ryan used 9.7 gallons to water his garden in June"
After this time,
The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons
= 8.3 gallons
Then,
3 and one eighth gallons in July
3 and one eighth = 3 1/8 = 3.125 gallons
The quantity of water that would be left is 8.3 gallons - 3.125 gallons
= 5.175 gallons
Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
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Answer:
b
Step-by-step explanation:
Pls help it’s due soon
16 40/50 in decimal form
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{16 \dfrac{40}{50}}[/tex]
[tex]\mathsf{= \dfrac{16\times50 + 40}{50}}[/tex]
[tex]\mathsf{= \dfrac{800 + 40}{50}}[/tex]
[tex]\mathsf{= \dfrac{840}{50}}[/tex]
[tex]\mathsf{= 840\div50}[/tex]
[tex]\mathsf{= 16.8}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{16.8}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold[tex]9\dfrac{9}{10}[/tex] times as much milk chocolate as white chocolate soldIf the shop sold " [tex]9\dfrac{9}{10}[/tex] times as much milk chocolate as white chocolate", we must multiply [tex]9\dfrac{9}{10}[/tex] by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply [tex]9\dfrac{9}{10}[/tex] by 9 ounces:
[tex]9\dfrac{9}{10}\times9[/tex]
Convert the fraction into an improper fraction:
[tex]=\dfrac{99}{10}\times9[/tex]
Multiply:
[tex]=\dfrac{891}{10}[/tex]
AnswerThe shop sold [tex]\dfrac{891}{10}[/tex] ounces of milk chocolate.
Erin charged $900 on the current credit card this billing cycle. Erin pays $300 towards the balance by the due date, but is unable to pay the remaining $600. The balance of $600 carries over to the next billing cycle, but he must pay interest on this amount as well. If the APR is 15%, how much interest will be added to the payment for the next billing cycle?
$690 is the next bill payment will be added for the next billing cycle.
What is rate of interest ?
An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Total payment charged = $900
amount paid = $300
amount remained = $600
APR on $600 = 15%
= 600*15/100
= 600*0.15
= $90
Therefore, in the next bill total amount charged is 600 +90 = $690
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Answer:
7.50
Step-by-step explanation:
Finance Charge =.1512×$600=$7.50
$7.50 will be added to his balance next billing cycle, it is the cost he must pay for borrowing $600 from the credit card company this cycle.
Whats 452 divided by 2 x 12?
answer : 452\12 ×2
452/24
18.83333333 answer
If the tangent line to y = f(x) at (6, 4) passes through the point (0, 3), find f(6) and f'(6).
f(6) =
f'(6) =
Answers:
f(6) = 4
f ' (6) = 1/6
===========================================================
Explanation:
f(6) = 4 since the point (6,4) is on the f(x) curve. This is where the tangent is touching.
The tangent line also goes through (0,3)
Let's find the slope of the line through those two points.
[tex](x_1,y_1) = (6,4) \text{ and } (x_2,y_2) = (0,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{0 - 6}\\\\m = \frac{-1}{-6}\\\\m = \frac{1}{6}\\\\[/tex]
The slope of the tangent line is 1/6. This is the value of f ' (6) because the derivative measures the tangent at the given x value. It's useful to determine the instantaneous rate of change.
The function f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1 Mark this and return Save and Exit Next
Step-by-step explanation:
all real numbers greater than our equal to -1.
as the parabola function is y = something in x², the parabola opens up either up or down.
if the function would have been x = something in y², the parabola would open left or right.
but our parabola here opens therefore up and down.
the vertex is therefore the maximum or minimum of the parabola. y does not get larger or smaller than the y value of the vertex.
as we see that the curve goes through points with y value 0 (which is clearly larger than -1), it means the vertex is a minimum, and the parabola opens up.
therefore the answer at the beginning. any y value of the function can only be greater than or equal to -1.