Answers
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
Related Questions
Solve for n: 0.22n = 6.6.
Answers
Answer:
30
Step-by-step explanation:
Solve for n: 0.22n = 6.6.
6.6/0.22 (because for example 3/3 and n/n= 1 so 0.22/0.22 = 1 so we have to divide 6.6 since it is part of the equation and we have to do it on both sides.)=30
What is the quotient of -3/8 and -1/3?
A. -1 1/8
B. -1/8
C. 1/8
D. 1 1/8
Answers
Answer:
d. 1 1/8
Step-by-step explanation:
-3 -1
---- ÷ -----
8. 3
Keep, Change, Flip.
-3/8 stays the same.
Division becomes multiplication.
-1/3 becomes -3/1
-3. -3. = 9
----- × ----- ------
8. 1. = 8
9/8 = 1 1/8
Answer:
D. 1 1/8
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
its the first third and fith
Step-by-step explanation:
Please could you show the working out as well:)
Answers
Answer:
( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]
[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]
[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]
LCD (2, 15, 21) = 210
[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]
105 - 98 = 7
110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]
Find the solution of the second-order linear differential equation that satisfies the given initial conditions. y'' + 6y' + 9y = 0 y(0) = 0 y'(0) = 1
Answers
Answer:
The solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].
Step-by-step explanation:
This second-order differential equation is homogeneous and linear of the form:
[tex]y'' + p\cdot y' +q\cdot y = 0[/tex] (1)
Where:
[tex]p[/tex] - First-order constant coefficient, dimensionless.
[tex]q[/tex] - Zero-order constant coefficient, dimensionless.
Whose characteristic polynomial is:
[tex]\lambda^{2}+p\cdot \lambda + q = 0[/tex] (2)
Where [tex]\lambda[/tex] contains the roots associated with the solution of the differential equation.
If we know that [tex]p = 6[/tex] and [tex]q = 9[/tex], the roots of the characteristic equation are, respectively:
[tex]\lambda^{2}+6\cdot \lambda + 9 = 0[/tex]
[tex](\lambda +3)\cdot (\lambda + 3) = 0[/tex]
Which means that [tex]\lambda_{1} = \lambda_{2} = 3[/tex] and the solution of the differential equation is of the form:
[tex]y(x) = e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)[/tex] (3)
Where [tex]c_{1}[/tex] and [tex]c_{2}[/tex] are integration constants.
The first derivative of the equation above is:
[tex]y'(x) = 3\cdot e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)+c_{2}\cdot e^{3\cdot x}[/tex] (4)
Now, if we get that [tex]y(0) = 0[/tex] and [tex]y'(0) = 1[/tex], then the system of equations to the solved is:
[tex]c_{1} = 0[/tex] (3b)
[tex]c_{1}+c_{2} = 1[/tex] (4b)
The solution of this system is: [tex]c_{1} = 0[/tex], [tex]c_{2} = 1[/tex]. Therefore, the solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].
A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 25 feet. What should the rectangle's dimensions be in order to maximize the area of the window and, therefore, allow in as much light as possible? (Round your answers to two decimal places.)width ________ ftheight _______ ft
Answers
Answer:
[tex]Length =\frac{25}{4 + \pi}[/tex] and [tex]Width = \frac{50}{4+\pi}[/tex]
Step-by-step explanation:
This question is better understood with an attachment.
See attachment for illustration.
Given
Represent Perimeter with P
[tex]P = 25ft[/tex]
Required
Determine the dimension of the rectangle that maximizes the area
First, we calculate the perimeter of the rectangular part of the window.
From the attachment, the rectangle is not closed at the top.
So, The perimeter would be the sum of the three closed sides
Where
[tex]Width = 2x[/tex]
[tex]Length = y[/tex]
So:
[tex]P_{Rectangle} = y + y + 2x[/tex]
[tex]P_{Rectangle} = 2y + 2x[/tex]
Next, we determine the circumference of the semi circle.
Circumference of a semicircle is calculated as:
[tex]C = \frac{1}{2}\pi r[/tex]
From the attachment,
[tex]Radius (r) = x[/tex]
So, we have:
[tex]C = \frac{1}{2}2\pi * x[/tex]
[tex]C = \pi x[/tex]
So, the perimeter of the window is:
[tex]P = P_{Rectangle} + C[/tex]
[tex]P =2y + 2x + \pi x[/tex]
Recall that: [tex]P = 25[/tex]
So, we have:
[tex]25 =2y + 2x +\pi x[/tex]
Make 2y the subject
[tex]2y = 25 - 2x - \pi x[/tex]
Make y the subject:
[tex]y = \frac{25}{2} - \frac{2x}{2} - \frac{\pi x}{2}[/tex]
[tex]y = \frac{25}{2} - x - \frac{\pi x}{2}[/tex]
Next, we determine the area (A) of the window
A = Area of Rectangle + Area of Semicircle
[tex]A = 2x * y + \frac{1}{2}\pi r^2[/tex]
[tex]A = 2xy + \frac{1}{2}\pi r^2[/tex]
Recall that
[tex]Radius (r) = x[/tex]
[tex]A = 2xy + \frac{1}{2}\pi x^2[/tex]
Substitute [tex]\frac{25}{2} - x - \frac{\pi x}{2}[/tex] for y in [tex]A = 2xy + \frac{1}{2}\pi x^2[/tex]
[tex]A = 2x(\frac{25}{2} - x - \frac{\pi x}{2}) + \frac{1}{2}\pi x^2[/tex]
Open Bracket
[tex]A = 2x * \frac{25}{2} - 2x * x - 2x * \frac{\pi x}{2} + \frac{1}{2}\pi x^2[/tex]
[tex]A = 25x - 2x^2 - \pi x^2 + \frac{1}{2}\pi x^2[/tex]
[tex]A = 25x - 2x^2 - \frac{1}{2}\pi x^2[/tex]
To maximize area, we have to determine differentiate both sides and set A' = 0
Differentiate
[tex]A' = 25 - 4x - \pi x[/tex]
[tex]A' = 0[/tex]
So, we have:
[tex]0 = 25 - 4x - \pi x[/tex]
Factorize:
[tex]0 = 25 -x(4 + \pi)[/tex]
[tex]-25 =-x(4 + \pi)[/tex]
Solve for x
[tex]x = \frac{-25}{-(4+\pi)}[/tex]
[tex]x = \frac{25}{4+\pi}[/tex]
Recall that
[tex]Width = 2x[/tex]
[tex]Width = 2(\frac{25}{4+\pi})[/tex]
[tex]Width = \frac{50}{4+\pi}[/tex]
Recall that:
[tex]y = \frac{25}{2} - x - \frac{\pi x}{2}[/tex]
Substitute [tex]\frac{25}{4+\pi}[/tex] for x
[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{\pi (\frac{25}{4+\pi})}{2}[/tex]
[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{\frac{25\pi}{4+\pi}}{2}[/tex]
[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{25\pi}{4+\pi} * \frac{1}{2}[/tex]
[tex]y = \frac{25}{2} - \frac{25}{4+\pi} - \frac{25\pi}{2(4+\pi)}[/tex]
[tex]y = \frac{25(4+\pi) - 25 * 2 - 25\pi}{2(4 + \pi)}[/tex]
[tex]y = \frac{100+25\pi - 50 - 25\pi}{2(4 + \pi)}[/tex]
[tex]y = \frac{100- 50+25\pi - 25\pi}{2(4 + \pi)}[/tex]
[tex]y = \frac{50}{2(4 + \pi)}[/tex]
[tex]y = \frac{25}{4 + \pi}[/tex]
Recall that:
[tex]Length = y[/tex]
So:
[tex]Length =\frac{25}{4 + \pi}[/tex]
Hence, the dimension of the rectangle is:
[tex]Length =\frac{25}{4 + \pi}[/tex] and [tex]Width = \frac{50}{4+\pi}[/tex]
PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST
Create a story using the inequality symbols , ≤,≥,≠ . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related.
Answers
Answer:
T_T said to 个_个: Hallo, I am so happee!!!
Step-by-step explanation:
Plz mark as Brainliest!
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. Complete the table using equivalent ratios. help me pleaseeee
Answers
Answer:
21/6 = 7/2 = 14/4
Step-by-step explanation:
Answer:
21:6 7:2 14:4
Step-by-step explanation:
What is the result of 72 divided by 12? 6 8 9 12
Answers
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps!!!!!!
The new Xbox series gaming console sells for 499 all units are sold out at stores but can be found online for 34% more than the original price how much would it cost to get it online at the marked up price
Answers
Classify the shape as precisely as possible based on its markings.
Question 11 options:
A)
Rhombus
B)
Quadrilateral
C)
Parallelogram
D)
Rectangle
Answers
Answer:
c is wrong
Step-by-step explanation:
The given shape is a rhombus.
Hence the correct option is A.
Given is a shape we need to identify its type,
Since all the sides are congruent shown, so we can conclude that the shape is a Rhombus.
A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. Additionally, the opposite sides of a rhombus are parallel to each other.
The rhombus is also a special type of parallelogram, as it has all the properties of a parallelogram, including opposite sides being equal in length, all the sides being equal and opposite angles being equal in measure.
Hence the correct option is A.
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What is the estimate of the sum of 165, 123, 376 and 134 using front end estimation? A. 600 B. 700 C. 800 D. 900
Answers
Answer:
A.
Step-by-step explanation:
Sorry, just unexplainable thinking.
(((click on the image to see it all))))
I need the answers to number 2 and 4 asap
Answers
Answer:
2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space
4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...
Select the expression equivalent to (-133–15)-(-9x + 16).
А
4x - 31
B
--4x + 1
с
-4x - 31
D
-22x-31
Answers
Sorry
Please help me I don’t understand stand it
Answers
given that a=2 and b=3, what is (ab)^2
Answers
Answer:
(ab)² = 36
Step-by-step explanation:
Plug in 2 for a and 3 for b:
(2·3)²
Multiply 2 and 3:
6²
Square the number:
36
(a x b)²
We know that a is 2 and that b is 3, so we substitute these into the expression:
(2 x 3)²
Then because of the Order of Operations we multiply INSIDE the brackets first:
(6)²
And when we square (²) a number we are simply multiplying it by itself:
(6)² = 6 x 6
So our final answer is:
6 x 6 = 36
i need help on this question
Answers
amount of syrup for one pancake = ¼ divided by 10 = 1/40 cups
what is 25+30 pleas help me
Answers
x/4-6=2 simplify the following two step equation
Answers
Answer:
First, collect the like terms by one side
x/4=2+6
x/4=8
Then, criss-cross it, which means multiply 4 with 8
x=4×8
x=32
Step-by-step explanation:
I hope this is the answer to your question, if it helped you, please give me brainliest
Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an iPad pro. Clara received 5 tickets for good attendance, 4 for making the honor roll, and 8 for tutoring other students.
What is the probability that one of Clara’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)
Answers
Answer:
0.89%
Step-by-step explanation:
Given that :
Total number of raffle tickets = 1900
Total number of Clara's tickets (5 + 4 + 8) = 17
Probability that one of Clara's tickets will be picked :
Probability = (required outcome / Total possible outcomes)
Required outcome = total number of Clara's ticket
Total possible outcomes = total number of raffle tickets
Hence,
P(picking one of Clara's tickets) = 17 / 1900
17 / 1900 = 0.0089473
0.0089473 * 100%
= 0.8947%
= 0.89%
At a certain school,5/9 of the students are boys. Today, 2/3 of the boys brought their lunch. What fraction of the students are boys who brought their lunch
Answers
In order to determine the answer you need to divide 5/9 by 2/3 in which will give you 5/6.
The fraction of the students are boys who brought their lunch is 5/6.
It is required to find the fraction of the students are boys who brought their lunch.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
At a certain school, students are boys =5/9
students are boys brought their lunch=2/3
According to given question we have,
Divide 5/9 by 2/3
[tex]\frac{5/9}{2/3} \\\\\frac{5}{6}[/tex]
Therefore, the fraction of the students are boys who brought their lunch is 5/6.
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Which of the following offers the least price per ounce of shampoo?
A) $6 for 8 ounces of shampoo
B) $4 for 5 ounces of shampoo
C) $8 for 12 ounces of shampoo
D) $12 for 16 ounces of shampoo
Answers
The required offer is the least price per ounce of shampoo is $8 for 12 ounces of shampoo. Option C is correct.
Given that,
To determine the offer the least price per ounce of shampoo.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
A) $6 for 8 ounces of shampoo
6 / 8 = $0.75 per ounces of shampoo
B) $4 for 5 ounces of shampoo
4/ 5 = $0.80 per ounces of shampoo
C) $8 for 12 ounces of shampoo
8/12 = $0.67 per ounce of shampoo
D) $12 for 16 ounces of shampoo
12/16 = $0.75 per ounce of shampoo
Thus, the required offer is the least price per ounce of shampoo is $8 for 12 ounces of shampoo. Option C is correct.
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The slope- intercept form of the equation of a line is y = mx + b. When the formula is solved for m, the result is
1. y-x/b
2. y - bx
3. y-b/x
4. x/y - b
Answers
Subtract b from both sides
Y-b = mx
Divide by x to make m alone
m = y-b/x
Select all the statements that are true for the graph shown.
Submarines descent graph of a diagonal line on a coordinate plane going down and to the right with Time in seconds on the x-axis and Height above Sea Level in feet on the y-axis. The line begins at the origin and passes through point 4 comma negative 12.
The relationship is proportional.
The rate of change is −32
The rate of change is −83
The relationship is linear.
The equation of the line is y = –3x.
Answers
Answer:
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
Step-by-step explanation:
The line in the question passes through origin and (4,-12).
The rate of change of the line is
[tex]m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3[/tex]
The rate of change of the line or slope of the line is -3
Equation of the line is given by
[tex](y-0)=-3(x-0)\\\Rightarrow y=-3x[/tex]
This means that the relationship is linear.
If we take any value of x then there will be only one value of y this means that the relationship is proportional.
So the following statements are true
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
Answer:
Step-by-step explanation:
Proportional
Linear
Equation of line is y=-3x
evaluate the expression when x=4/5 and y=-2/9: 3y-x
Answers
Answer:
-2/15
Step-by-step explanation:
what is an equation for the translation of y=|x| left 7 units?
Answers
Answer:
y,x-7
Step-by-step explanation:
I think this is it
Answer:
y=x-7
Step-by-step explanation:
PLS HELP!!! Which statement about numbers is true?
All whole numbers are rational numbers
All rational numbers are integers
All rational numbers are whole numbers
All integers are whole numbers
First to answer will be voted brainliest!!
Answers
Answer:
all integers are whole numbers
Y-p=m(x-8) solve for x
Answers
Answer:
x = Y /m − p /m +8
Step-by-step explanation:
At a university, Todd deposits $100 into his cafeteria account. He spends $5 on dinner every day. Seth deposits $140 into his account. He spends $5 on lunch and $5 on dinner every day. After how many days will Todd and Seth have the same amount of money in their accounts? 16 8 4 2
Answers
Answer:
The answer is 8 days.
Step-by-step explanation:
By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table
Day - Todd - Seth
1 - 95 - 130
2 - 90 - 120
3 - 85 - 110
4 - 80 - 100
5 - 75 - 90
6 - 70 - 80
7 - 65 - 70
8 - 60 - 60
Suppose that you are asked to pick a card from a deck of 52 cards. Once you have selected a card, you place it face down on the table. You are then asked to selected another card from the deck. Is the event of you picking the first card going to affect the probability of the second card selected, why or why not? Are these events independent or dependent?
Answers
Answer:
Step-by-step explanation:
The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.
1/52 is the probability for the first card.
1/51 is the probability for the second card.
They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.
Step-by-step explanation:
The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.
The likelihood of getting the first card is 1/52.
The odds of getting the second card are 1/51.
They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.