Answer:
(+22x^2+16x+11)/(2x)
Camila is a seamstress and is creating wedding dresses. She has 192 yards of silk fabric. For each dress, the skirt requires 6 yards of silk and the bodice requires 2yards of silk. How many dresses can she make with the amount of silk she has?
With the amount of silk she has, she can create 48 garments.
What is unitary method?
This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.
We typically utilize this technique for math calculations.
This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.
According to our question-
She possesses 144 yards of silk cloth.
Each dress needs 3 yards of silk for the skirt and 1 yard for the bodice.
According to the data given, the calculation is as follows:
144/3
48
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You and some friends have $30. You want to order large pizzas (p) that are $10 each and drinks (d) that cost $1 each. Make a table of possible choices(including intercepts) and graph an inequality that shows how many pizzas and drinks you can order.
Answer:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \sf Pizza & \sf Drinks\\\cline{1-2} \vphantom{\dfrac12} 0& 30\\\cline{1-2} \vphantom{\dfrac12} 1& 20\\\cline{1-2} \vphantom{\dfrac12} 2& 10\\\cline{1-2} \vphantom{\dfrac12} 3& 0\\\cline{1-2} \end{array}[/tex]
See attachment for the graph of the inequality.
Step-by-step explanation:
Given information:
Maximum amount of money available = $30Cost of one large pizza (p) = $10Cost of one drink (d) = $1The inequality to represent the given information is:
10p + d ≤ 30To complete the given table, input p from 0 through 3 into the inequality and solve for d.
[tex]\begin{aligned}p=0 \implies 10(0) + d & \leq 30\\d & \leq 30\end{aligned}[/tex]
[tex]\begin{aligned}p=1 \implies 10(1) + d & \leq 30\\10+d & \leq 30\\d & \leq 20\end{aligned}[/tex]
[tex]\begin{aligned}p=2 \implies 10(2) + d & \leq 30\\20+d & \leq 30\\d & \leq 10\end{aligned}[/tex]
[tex]\begin{aligned}p=3 \implies 10(3) + d & \leq 30\\30+d & \leq 30\\d & \leq 0\end{aligned}[/tex]
Completed table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \sf Pizza & \sf Drinks\\\cline{1-2} \vphantom{\dfrac12} 0& 30\\\cline{1-2} \vphantom{\dfrac12} 1& 20\\\cline{1-2} \vphantom{\dfrac12} 2& 10\\\cline{1-2} \vphantom{\dfrac12} 3& 0\\\cline{1-2} \end{array}[/tex]
To graph the inequality:
Let the x-axis represent the number of pizzas (p).Let the y-axis represent the number of drinks (d).Plot two points from the table: (0, 30) and (3, 0).Draw a solid line through the points.Shade under the line.If the pointer in the figure is spun twice, find the probability that the pointer lands on green and then red.
Answer:
say there are 2 colors, it is 50/50.
if there are 3 it would be a 1/3. 4 colors would be 1/4. now multiply your probability by two. i.e: 1/4 ×2 = 2/8
please help with steps
Answer:
Okay so, if he is getting a console for $17.50, then you first want to do is subtract that from the total amount that he has which is $49.
49 - 17.50 = $31.50
Now each game costs $5.25
You can either just keep adding 5.25 by itself until you get to 31.50, or you can just divide 31.50 by 5.25, but I am going to just multiply then by certain numbers until I get the result.
5.25 * 5 = 26.25 so we know he can buy more than 5.
5.25 * 6 = 31.50
He can buy 6 games!
Step-by-step explanation:
Hope it helps! =D
Please help I’m struggling
Answer: it's C because 4% of 2170 is 86.8 and times 18 years is 1562.4 and 2170 minus 1562.4 equals 607.8. And C is the closest answer to that answer I gave.
Write an equation of the line that passes through (2, −4) and (0, −4).
Answer: x⁰⁄₂ + 0 = y or x⁰⁄₂ = y
Step-by-step explanation:
Equation of a line is mx+b=y
m=slope
The slope is ʸ⁄ₓ or in this case ⁰⁄₂
b=where the line cross the y-axis which is 0, when it is 0 there is no use in write +0 after the equation, as there is no difference, but it is your choice
Find the slope of the line. 4y-2x= -30
Answer:
The slope is 1/2
Step-by-step explanation:
To find the slope of the line, put the equation in slope intercept form.
y= mx+b where m is the slope and b is the y intercept
4y -2x = -30
Add 2x to each side
4y -2x+2x = 2x-30
4y = 2x-30
Divide by 4
4y/4 = 2x/4 -30/4
y = 1/2x -15/2
The slope is 1/2
Answer:
0.5
Step-by-step explanation:
To find the slope of the line you have write this in slope intercept form.
That is,
y = mx + c.Here,
m - Slope
c - y intercept
Now, to write this expression in slope intercept form, you have to make y the subject of this expression.
[tex] 4y - 2x = - 30[/tex]
Add 2x to both sides.
4y = 2x - 30
Now divide both sides by 4.
y = 2/4x - 30/4
Accordingly,
[tex]y = 0.5x - 7.5[/tex]
Slope of the line (m) = 0.5
Graph two lines whose solution is (1, 4) .
The lines y = x + 3 and y = 2 · x + 2 pass through point (1, 4) on Cartesian plane.
How to graph two lines that pass through a given point on Cartesian plane
In this problem we must graph two lines that pass through point (x, y) = (1, 4). Lines can be represented by equations of following form:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - InterceptWe must choose two slope-intercept combinations to generate two different lines: (x, y) = (1, 4)
Line 1
4 = m · 1 + b
4 = m + b
m = 1
4 = 1 + b
b = 3
y = x + 3
Line 2
4 = m · 1 + b
4 = m + b
m = 2
4 = 2 + b
b = 2
y = 2 · x + 2
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Xin uses 20 yards of fencing to build the walls of square chicken coop. which equation and solution represent x, the length, in yards, of each wall of square coop
The equation of the square coop is 4x = 20 and the length is 5yd .
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
20yd of fencing to build the walls of a square coop.
Therefore, the perimeter of the square coop is 20 yd .
Then the equation of the perimeter of the square coop is 4x = 20.
Solving the equation,
4x = 20
We get,
x = 5yd
The equation of the square coop is 4x = 20 and the length is 5yd .
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2. Which number below is an odd number? (1
O533
0422
1,022
0874
Answer:
533
Step-by-step explanation:
Ends in an odd number
Answer:
the first one: 0533
Step-by-step explanation:
1,3,5,7,9 are basic odd numbers
2,4,6,8 are basic prime numbers
see what the last digit is aka the ones place
see if it ends in an odd or even
the only one that has the last digit as an odd number is the first one 0533, therefore it is the answer.
3. Mariana has a fish tank that is 30 in x 12 in x 16 in. What unit of measurement should she use for volume?
square inches
cubic feet
cubic inches
pounds
Answer: cubic inches
Step-by-step explanation: volume is cubed since it is 3 dimensions and it is in inches which are the units given
In a retail store with 36 employees, 29 work with customers, 11 work in the
warehouse, and 4 do neither. How many employees both work with customers and
work in the warehouse?
Answer: 8 employees doing both jobs.
Step-by-step explanation:
If 4 do neither, we can subtract this from the total number of employees. This will give us the employees that work with customers, the warehouse, or both.
36 - 4 = 32 employees
Next, we need to find how many do both. We can add 29 and 11 together to find the total number of jobs worked in these sections (this will include employees doing both jobs).
29 + 11 = 40 employees
Lastly, we will subtract the total number of employees working in these sections from the number above to find how many are doing both jobs.
40 - 32 = 8 employees doing both jobs.
Which two statements comparing stock and bond investments are true?
0 Bonds typically offer higher returns than stocks.
0
Stocks have higher risk than bonds.
0
A bond offers fixed interest income, while a stock may offer dividends to investors.
130
Investors pay a brokerage fee for buying and selling bonds, while they pay an advisory fee for
buying and selling stocks.
Bonds are traded on an equity-based exchange, while stocks are purchased directly from a
corporation.
Correct option is B and C, Stocks have higher risk than bonds. A bond offers fixed interest income, while a stock may offer dividends to investors.
In general, stocks are riskier than bonds simply because they do not provide investors with guaranteed returns, as opposed to bonds, which do so through coupon payments. Bondholders, who are a company's creditors, get priority in being paid back in the case of a business bankruptcy, making stocks intrinsically more volatile than bonds. Owners of common stock, on the other hand, are last in line and risk losing everything if the business fails.
Bonds would be a preferable choice for risk-averse investors who want to safely invest their money and feel secure with more standardized payout schedules.
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Complete the following statements with the correct words Note: Correct spelling is important. func a. If s(t) is a distance (or height or position) function, then s'(t) would be a velocity b. If c(x) is a cost function, then c'(x) would be called the cost x c. If y(t) is a velocity function, then v'(t) would be a acceleration function
Velocity, marginal cost, and acceleration are derivatives of displacement, cost, and velocity functions.
The velocity of an object or particle describes how far it has moved or displaced over time. If the function s(t) determines the position of an object, then the velocity is its first derivative. And, this is written as s'(t). The initial blank is therefore filled with velocity.
The cost difference between producing one more product or serving one more customer is known as the marginal cost. As a result, it can be calculated by dividing the change in overall costs by the change in energy output. So, the cost function's derivative is the marginal cost. If the cost function is c(x), then its derivative c'(x) is the marginal cost. The second blank is filled with marginal cost.
Acceleration is the time-dependent derivative of velocity. If v(t) is the velocity, then the acceleration is v'(t). The third blank is filled with acceleration.
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According to the CDC, 6% of people who contract measles also develop pneumonia. If there were 1,296 cases of the measles in the United States in 2019, how many people developed pneumonia? Round to the nearest whole person.
By approximately what percentage (relative change) did measles decline between 2014-2015? Round your answer to two decimal places.
The people that developed pneumonia will be 78 people.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
According to the CDC, 6% of people who contract measles also develop pneumonia. If there were 1,296 cases of the measles in the United States in 2019, the people that developed pneumonia will be:
= 6% × 1296
= 78 people.
The second question can't be solved as the information isn't given.
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12 is added to 25% of a number the result is 30 what is the number
Answer:
72
Step-by-step explanation:
30 minus 12 is 18 and 18 is 25% of 72
Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions. 5y =x-6 4x-10y=12
Answer:
One solution:
[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]
Step-by-step explanation:
The solution strategy is to isolate one of the variables by eliminating the other. There are several ways to do this. This is my preferred way
The equations are
[tex]5y = x-6 \cdots[1]\\\\4x - 10y = 12 \cdots[2]\\\\[/tex]
Transform equation [1] into the same form as [2] with x and y variables on the left and the constant on the right:
Subtract x from both sides of equation [1]:
[tex]-x + 5y = -6\cdots[3][/tex]
Multiply equation [3] by 2 to get the coefficients of y the same
[3] x 2 gives
[tex]-2x + 10 y = -12\cdots[4][/tex]
In equations [2] and [4], the coefficients of y are the same but of opposite sign
Add equations [2] and [4] to get
[tex]4x - 10y + (-2x + 10y) = 12 + (-12)\\\\4x - 10y -2x - 10y = 12 -12\\\\4x - 2x -10y + 10y = 0\\\\2x = 0\\\\x = 0\\\\[/tex]
Substitute for x = 0 in any of the equations [1] or [2] and solve for y
Let's pick equation 1
Substitute for x = 0 in [tex]5y = x - 6\\[/tex]
[tex]5y = 0 - 6\\\\5y = -6\\\\y = -\dfrac{6}{5}\\\\[/tex]
So this is a system of equations with one solution:
[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]
(3x² + 3) + (3x2+x+4)
O A. 9x²+x+12
OB. 6x²+x+7
OC. 6x² + x + 12
OD. 9x²+x+7
I need helpppp asap!!
Answer:
The answer is 6x²+x+7
Step-by-step explanation:
(3x²+3) + (3x²+x+4)
3x²+3 + 3x²+x+4
COLLECT LIKE TERMS
3x²+3x²+x+3+4
ADD UP LIKE TERMS
6x²+x+7
Q9
If 3x - y = 20 and y = 7, what is the value of x?
Step-by-step explanation:
[tex]3x - y = 20 \\ y = 7 \\ 3x = 20 - 7 \\ 3x = 13 \\ x = \frac{13}{3} \\ x = 4.33[/tex]
The value o x for the given expression will be 9.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3x - y = 20 the value of y is 7. The value of x will be calculated as:-
3x - y = 20
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27 / 3
x = 9
Therefore, the value of x will be 9.
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a=-2x^2 + 36x
solve for x
Answer:
x= 18,0
Step-by-step explanation:
Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)? A. x2 + y2 − 4x + 2y + 1 = 0 B. x2 + y2 + 4x − 2y + 1 = 0 C. x2 + y2 + 4x − 2y + 9 = 0 D. x2 − y2 + 2x + y + 1 = 0
Answer:
I think it's b. when you have a negative and a negative it becomes a positive
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed. Division Line
2 3/5 divided by 1 1/4
The quotient is [tex]2\frac{2}{25}[/tex]. The quotient is a mixed number.
What is a fraction bar?
With mathematics, a fraction bar is a visual representation of fractions that aids in fraction comparison and fraction operations. A part-to-whole representational model is fraction bars or fraction strips. Each fraction bar segment represents one unit of a larger whole.
Given that [tex]2\frac{3}{5}[/tex] divide by [tex]1\frac{1}{4}[/tex].
The mathematical representation is
[tex]2\frac{3}{5}[/tex] ÷ [tex]1\frac{1}{4}[/tex]
Convert the mixed fraction to improper fraction:
= (2×5 + 3)/5 ÷ (1×4+1)/4
=(13/5) ÷ (5/4)
To convert the division sign into a multiplication sign, take the reciprocal of 5/4.
= (13/5) × (4/5) [Reciprocal of 5/4 is 4/5]
= 52/25
If 52 is divided by 25, the quotient is 2 and the remainder is 2.
Convert 52/25 into a mixed fraction:
52/25 =[tex]2\frac{2}{25}[/tex].
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This looks hard, I'm stuck, help.
Answer:
14:7, 42:21, 6:3, 48:24
Step-by-step explanation:
The ratio can be seen as 2:1 (from the provided 14:7 which is equal to 2), which would be in plums:grapes.
Your ratio of 42:21 is correct for the second column, so we can move on to the third and fourth.
We can use this equation to find your missing values for column 3:
[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{3}[/tex]
Now, we can solve for x through cross multiplication:
7x = 14*3
7x = 42
x = 6
For column 4, we can set up the equation:
[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{24}[/tex]
Now, let's solve for x:
7x = 336
x = 48
Therefore, your ratios will be:
14:7, 42:21, 6:3, 48:24.
Solve.
4 Laqueta has n red apples and m green apples in a basket.
She puts 3 more red apples into the basket. Write an
expression for the total number of apples Laqueta has
in the basket.
Therefore, the expression for the total number of apples Laqueta has in the basket is (n+3) + m.
Define expression.An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Define symbols.A figure or a group of figures used to represent a mathematical item, an action on a mathematical object, a relationship between mathematical objects, or to organize other symbols that appear in a formula are known as mathematical symbols.
The total number of apples Laqueta has in the basket = n+m
When she puts 3 more red apples into the basket, the total number of red apples becomes n+3.
So, the total number of apples Laqueta has in the basket is (n+3) + m.
This can be simplified as n+m+3.
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Pls help! Will appreciate so much. Evaluate 4+ (m - n)^4 when m = 7 and n =5.
Answer:
20
Step-by-step explanation:
P= 2(l+w)
solve for l?
Answer:
[tex]l = \frac{P}{2} - w[/tex]
Step-by-step explanation:
[tex]P= 2(l+w)[/tex]
[tex]\frac{P}{2} = l +w[/tex]
[tex]l = \frac{P}{2} - w[/tex]
35% of 40 is what value? 5 12 14 23
Answer:
14
Step-by-step explanation:
35% of 40
= [tex]\frac{35}{100}[/tex] × 40
= 0.35 × 40
= 14
Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use.
what is the probability that the first unbelted driver is in the 6th car stopped?
Answer:
20%
Step-by-step explanation:
The probability that the first unbelted driver is in the 6th car stopped is
(1 - 0.20)^5 * 0.20,
where 0.20 is the probability that a driver does not wear their seatbelt (20%),
and (1 - 0.20)^5 is the probability that the first 5 cars stopped all have drivers who wear their seatbelts.
This simplifies to (0.8)^5 * 0.2 = 0.32768 * 0.2 = 0.065536.
Find an equation of the tangent to the curve at the given point
x=cos(t)+cos(2t)
y=sin(t)+sin(2t)
(-1,1)
y=?
Equation of the tangent to the curve at point (-1,1) is: y=2x+3
Given,
x=cos(t)+cos(2t)
y=sin(t)+sin(2t)
P(-1,1)
For the point(-1,1), the value of t satisfy the equations x=cos(t)+cos(2t) and y=sin(t)+sin(2t) is pi/2.
To find an equation of the tangent to the curve at the given point (x,y) where x=cos(t)+cos(2t) and y=sin(t)+sin(2t) and t= pi/2, we need to first find the slope of the tangent line at this point. To do this, we need to take the derivative of the x and y functions with respect to t:
dx/dt = -sin(t) + 2sin(2t)
dy/dt = cos(t) - 2cos(2t)
Now we can use this information to find the slope of the tangent line at the given point (x,y) where x=cos(t)+cos(2t) and y=sin(t)+sin(2t) and t= pi/2:
slope = dy/dx = (cos(t) - 2cos(2t)) / (-sin(t) + 2sin(2t)) evaluated at t = pi/2
slope = (cos(pi/2) - 2cos(2pi/2))/(-sin(pi/2) + 2sin(2pi/2)) = 0 - (-2)/0 + 0 = 2
Now, we can use this slope to find the equation of tangent using:
(y-y1)= m(x-x1)
=> y-1=2(x+1)
=>y=2x+3
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3(0.4h+5) > 4(0.2h+7)
Whenever you want to add clarification, explanation, or a side remark to a statement, you should use parentheses ().
How to find the calculation?3(0.4h+5)=4(0.2h+7)
When adding extraneous information or an aside to a sentence, parentheses, a pair of punctuation marks, are most frequently utilized.
Two curving vertical lines can be seen in parentheses: ( ). Parenthesis refers to a single instance of this punctuation.
To the left, we reposition every term:
3(0.4h+5)-(4(0.2h+7))=0
Parentheses are increased.
0h-(4(0.2h+7))+15=0
-(4(0.2h+7)), which we calculate as follows:
4(0.2h+7)
Parentheses are increased.
0h+28
In addition, we add up all the numbers and variables.
h+28
Resuming the equation
-(h+28)
In addition, we add up all the numbers and variables.
h-(h+28)+15=0
Parentheses are removed.
h-h-28+15=0
In addition, we add up all the numbers and variables.
-13!=0
For this equation, there is no answer.
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