Answer:
\((3, 7)\)
Step-by-step explanation:
(4/3)P -(4/3)A + A = B . . . . . . add A
(4P -A)/3 = B . . . . . . . . . . . . . simplify
Then the coordinates of point B are ...
B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3
B = (3, 7)
6(s+t)=(6•s)+(6•t)
What property is shown above?
Emile paid $3.96 for 4 songs.
What is the unit rate and what does it mean?
Enter your answers in the boxes.
Answer:
$0.99
Unit rate is cost for 1 individual (song)
Step-by-step explanation:
$3.96/4
0.99
99 cents
A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at MOST.
30x + 100 < 1000
A. X > 30
B. X > 33
C. X < 33
D. X < 30
Answer:
x < 30
Step-by-step explanation:
Given the inequality expression that denotes the statement as;
30x+100 < 1000
Subtract 100 from both sides
30x + 100 - 100 <1000 - 100
30x < 900
Divide both sides by 30
30x/30 < 900/30
x < 30
Hence the required solution is x < 30
The number of employee the manager can afford a day is x < 30.
The given parameters:
Amount spent a day for operating cost = $1,000The operating cost of the store, = $100 per dayAmount paid to the employee = $30 per dayThe inequality of the number of employee the manager can afford a day is calculated as follows;
30x + 100 < 1000
collect similar terms together;
30x < 1000 - 100
30x < 900
divide both sides of the equation by 30;
\(x <\frac{900}{30} \\\\x <30\)
Thus, the number of employee the manager can afford a day is x < 30.
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Round it to the nearest tenth
Answer: so i got 31 but if you round it it will be 30 hope it helps
Step-by-step explanation:
estimate each product 1/3 x 28
Answer:
28/3 approximated to 9 1/3
Step-by-step explanation:
multiply the fractions and estimate it to it's alternativve form
hi gibing broonlist please please
Answer:
what??
Step-by-step explanation:
Solve x(x-y)dy+y^2dx=0 using
Answer:
the method of exact differential equations:
We need to check if this differential equation is exact. To do that, we check if the partial derivative of the first term with respect to y is equal to the partial derivative of the second term with respect to x:
∂/∂y(x(x-y)) = x(-1) = -x
∂/∂x(y^2) = 0
Since these partial derivatives are not equal, the differential equation is not exact. We can try to make it exact by multiplying the entire equation by a suitable integrating factor.
Let's find the integrating factor (IF) by taking the partial derivative of the IF with respect to y and equating it to the partial derivative of the second term with respect to x:
∂/∂y(IF) = -y^2/(x(x-y)^2)
∂/∂x(y^2) = 0
From the first equation, we can see that an integrating factor of IF = x(x-y)^2 should make the equation exact. Multiplying the entire equation by this integrating factor, we get:
x(x-y)^2dy + y^2x(x-y)dx = 0
Now, we just need to find a function φ(x,y) such that:
∂φ/∂x = x(x-y)^2dy
∂φ/∂y = y^2x(x-y)dx
Integrating the first equation with respect to x, we get:
φ(x,y) = ∫x(x-y)^2dy + f(x)
φ(x,y) = -1/3(x-y)^3x + f(x)
Now, we differentiate this equation with respect to x and equate it to the second equation:
∂φ/∂x = -(x-y)^3 + f'(x)
∂φ/∂y = y^2(x-y)^3
Comparing the two, we can see that f'(x) = 0, which means that f(x) is a constant. We can choose this constant to be zero without loss of generality.
Therefore, the solution to the differential equation is given by:
-1/3(x-y)^3x + C = 0
where C is an arbitrary constant.
In angle LMN, m= 2.1 inches, n = 8.2 inches and ∠L = 85 find the length of l to the nearest 10th of an inch
Answer:8.3
Step-by-step explanation:trust
Round 55 to the nearest tenth and then divide the number by 2
Answer:
30
Step-by-step explanation:
55 rounded to the nearest ten is 60
60/2=30
Answer:
30
Step-by-step explanation:
55 is closer to 60 than 40. And you divide 60 by 2 you get 30.
tn=2(n-1)
Given the formula for the nth term, state the first 5 terms of each sequence.
Answer:
0, 2, 4, 6, 8
Step-by-step explanation:
substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term
2 (1) -2 = 0 first term
2 (2)-2 = 2 second
2 (3)-2 = 4 third
2 (4)-2 =6 fourth
2 (5)-2 =8 fifth
What is the equation of the line that passes through (-3, -1) and has a slope of 3/5?
(slope-intercept form)
A: y = 3/5x + 4/5
B: y = 3/5x - 4/5
C: y = -3/5x - 4/5
The equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.
What is point slope form?
The equation of a line is expressed in the point-slope form as follows: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. When we know the slope of a line and a point on the line but not the intercepts, this version of the equation is helpful. It eliminates the need to independently compute the intercepts by allowing us to state the equation of the line in terms of the given point and slope.
Given that, line passes through (-3, -1) and has a slope of 3/5.
The points slope form is given as:
y - y1 = m(x - x1)
Substituting the values we have:
y - (-1) = (3/5)(x - (-3))
y + 1 = (3/5)x + 9/5
y = (3/5)x + 4/5
Therefore, the equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.
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Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.
Describe Cube?A cube is a three-dimensional geometric shape that has six square faces of equal size and angles, 12 edges of equal length, and eight vertices of equal distance from the center of the cube. A cube is a special case of a rectangular parallelepiped in which all the edges are equal in length.
To divide a cuboid into two cubes, we need to make sure that the dimensions of the cuboid are multiples of the side length of the cubes.
Since the side length of each cube is 3 inches, we can divide the height of the cuboid (which is 8 inches) into two parts, each measuring 4 inches. The base of each cube would then be a square with side length of 3 inches, which means the area of each cube's base is 3 x 3 = 9 square inches.
To find the area of the cross-section, we need to determine which face of each cube will be exposed after dividing the cuboid. Since the cuboid was divided into two cubes, we can assume that the cross-section will be a square with side length of 3 inches (the same as the side length of each cube).
Therefore, the area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.
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Need help !!! Which figures demonstrate a reflection ? Select each correct answer.
Answer:
4th one
Step-by-step explanation:
They are both L's on either side.
Answer:
Ánswer 4th one ..I think
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5 : 4. There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4: 5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.
What is equation?In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.
Now, let's determine how many boys and females attend each school:
Middle School in Colfax
Boys: (5/9) * 270 = 150
Girls: (4/9) * 270 = 120
School in Winthrop:
Boys: (4/9) * 180 = 80
Girls: (5/9) * 180 = 100
Now, we can determine how many males and girls attended the dance overall:
Boys: 150 + 80 = 230
Girls: 120 + 100 = 220
Thus, the proportion of female students attending the dance is:
220 / (230 + 220) = 220 / 450 = 44/90 = 22/45
Hence, there are 22/45 female students at the dance.
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After a 60% reduction, you purchase a new sofa on sale for $280. What was the original price of the sofa?
The original price of the Sofa is $620
How to calculate the original price ?The original price is reduced by 60%
After this reduction the price reduced to $280
Therefore the original price can be calculated as follows
The first step is to subtract 60% from 100%
= 100-60
= 40%
The original price can be calculated as follows
280 × 100/40
= 28,000/40
= 700
Hence the original price of the sofa is $700
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Solve If QR = 6x + 1, PR = 14x - 13, and PQ = 5x - 2, find PR
Answer:
P____Q____R
PR= PQ+ QR
(14x-13) = (5x-2)+(6x+1)
14x-13= 11x – 1
14x – 11x = 13–1
3x = 12
x= 12/ 3
x= 4
PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5
If you want (PQ , QR ) this is the solution
PQ =5x-2=5(4)-2=20-2=18
QR =6x+1=6(4)+1=24+1=25
I hope I helped you^_^
Explain why the scale from ABC to DEF could be 1:3
Answer:
Don't really know
Step-by-step explanation:
------------------------------
If 4.5 pounds of chocolate cost $10, how
many pounds of chocolate can be
purchased for $12?
I think 5.4
4.5÷10= 0.45
0.45x12=5.4
What is the sum of the infinite geometric series? -3-3/2
Answer:
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.
Answer:
-6 on edge
Step-by-step explanation:
A dslr camera increased in price from 900
to 1,200 what was the percent of increase
Answer:
33.33%
Step-by-step explanation:
% increase : new value - old value/old value * 100%
1200 - 900/900 * 100% (to make it easier, cut the zeros the best
you can)
300/ 9
= 33.33 or 33 1/3%
9. The table of values represents the number of bacteria in a culture every 20 minutes.
How much greater is the average rate of change over the interval [40, 60] than the
interval [0,20]?
Time
Number of bacteria
0
100
20
200
40
400
60
800
For [0,20]
Average rate of change
200-100/20=100/20=5for [40,60]
(800-400)/60-40400/2020Difference
20-5=15Answer:
15
Step-by-step explanation:
Average rate of change over interval [40, 60] :
A(x) = f(60) - f(40) / 60 - 40A(x) = 800 - 400 / 20A(x) = 400 / 20A(x) = 20Average rate of change over interval [0, 20] :
A(x) = f(20) - f(0) / 20 - 0A(x) = 200 - 100 / 20A(x) = 100 / 20A(x) = 5Change in interval :
20 - 515Are the ratios 6:3 and 4:2 equivalent
Jason tried to find an expression equivalent to the rational expression −4x4+12x3−7x+22x2+1 by using polynomial long division. His work is shown below.Jason concluded that −2x2+7x+−14x+22x2+1 was equivalent to the rational expression. Jason's conclusion is incorrect.
Which statement BEST explains where Jason made an error?
She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The rational expression is given in the question as:
\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)
Divide the leading term of the dividend by the leading term of the divisor:
\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)
Write down the calculated result in the upper part of the table.
Multiply it by the divisor
\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
Thus, Jason made a mistake in multiplying 2x²+1 by -2x².
Hence, the correct answer would be option (B).
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The diagram shows a circle inside a square.
Calculate the shaded area.
Take a to be 3.142
Answer:
7.722 cm^2
Step-by-step explanation:
To find the area of the shaded area, you need to subtract the area of the circle from the area of the square. The area of the square is easy: just the square of the side length. In this case, the area is 6^2=36 square centimeters. The area of the circle is:
\(\pi r^2 = \pi (3)^2 = 9\pi \approx 28.278\)
Thus, the area of the shaded region is 36-28.278 = 7.722 square centimeters.
Which of the following describes the function x^3-8
Answer:
Is there any options if so just repost with the options and i will answer it
Step-by-step explanation:
Hello can someone please help me with this
Q and R are collinear because they lie in the same straight line.
Check whether Q and R are collinear from the given figure.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line. If two or more two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
Here, Q and R are collinear because they lie in the same straight line.
A set of points in space are coplanar if there exists a geometric plane that contains them all.
Point S is outside the planes, so point S is non-coplanar with either plane.
The intersection of two planes is always a line.
The intersection between the two planes creates a line.
Line l intersects two planes V and W.
Therefore, Q and R are collinear because they lie in the same straight line.
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Sweetie, a confectionery shop owner like to buy 110 kg of either chocolate-flavored pastry or strawberry-flavored pastry from the producer at the beginning of the week. The chocolate flavored pastry costs her Tshs 6,000 per kg, which she sells at Tshs 8,000 per kg. Similarly, the strawberry-flavored pastry costs her Tshs 4,000 per kg which she sells at Tshs 7,000 per kg. The potential demand per week for these pastries are expected to be 90, 100, and 110 kg. Any pastries remaining unsold at the end of the week are purchased by the producer for Tshs 3,000 per kg. 40
Sweetie should analyze the potential profits for both chocolate-flavored and strawberry-flavored pastries based on the expected demand and choose the option that maximizes her profitability.
To determine which type of pastry Sweetie should buy, we need to compare the potential profits for each option.
For chocolate-flavored pastry:
Cost price per kg: Tshs 6,000
Selling price per kg: Tshs 8,000
Unsold purchase price per kg: Tshs 3,000
Potential demand: 90, 100, and 110 kg
For strawberry-flavored pastry:
Cost price per kg: Tshs 4,000
Selling price per kg: Tshs 7,000
Unsold purchase price per kg: Tshs 3,000
Potential demand: 90, 100, and 110 kg
First, let's calculate the potential profit for each scenario:
Chocolate-flavored pastry:
Potential profit = (Selling price - Cost price) * Demand - Unsold purchase price * (Demand - 110)
Strawberry-flavored pastry:
Potential profit = (Selling price - Cost price) * Demand - Unsold purchase price * (Demand - 110)
By substituting the values, we can calculate the potential profit for each demand scenario for both types of pastries.
After comparing the potential profits, Sweetie should choose the option that yields the highest profit. It's important to consider factors such as customer preferences and sales history when making this decision.
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There maybe 7 in 10 couples that disagree on a matter what percent of couples disagree
Answer:
Step-by-step explanation:
7/10=70/100=70 percent
Why can’t I use exponents?
Answer:
try to look it up it shows you videos and everything
Step-by-step explanation:
can i please have a thank you heart and brainliest
Answer:
Try using ^# to show an exponent
Explanation:
People will probably still understand it
Hope it helped!
. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb
Answer:
400 feet per minute
Step-by-step explanation:
Because it's feet per minute, you'll divide 10,000 by 25
400 feet per minute
hope this is good enough