6 pencils cost 1.68 3 pencils and 1 rubber cost q.09 what is the cost of one rubber
Answers
Answer:
1 rubber cost is 0.59
Step-by-step explanation:
The computation of the cost of one rubber is shown below:
Given that
6 pencil cost = 1.68
3 pencils and 1 rubber cost = 1.09
based on the above information
one pencil cost is
= 1.68 ÷ 3
= 0.56
Now
3(0.56) + 1 rubber = 1.09
So, 1 rubber cost is 0.59
Related Questions
A small business has three employees who decorate pastries. Carlotta earns $13 per hour and decorates
19 pastries each hour. James earns $16 per hour and decorates 23 pastries each hour. Melissa earns $11
per hour and decorates 15 pastries each hour (she’s a new hire). In one week, the employees worked a
total of 100 hours, decorated 1868 pastries, and earned a total of $1316 in wages.
Define your variables and write a system of 3 equations
Answers
1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answers
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
Solve the function. x³+ 2x² - 5x + 12 = 0
Answers
Answer:
x= -4
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
What is Landscape evolution theory
Answers
Answer:
Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.
Step-by-step explanation:
hopes this helps
have a good day :)
Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Mr. Molinari noticed that his package would cost the same to mail using either service. How much does his package weigh?
Answers
3 = 0.1x
x = 30 oz
Cindy, Inc. sells a product for $10 per unit. The variable expenses are $6 per unit, and the fixed expenses total $35,000 per period. By how much will net operating income change if sales are expected to increase by $40,000?
A) $16,000 increase
B) $5,000 increase
C) $24,000 increase
D) $11,000 decrease
Answers
Answer: it is a $16,000 increase
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
Answers
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
Answers
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)Learn more about graph here:
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question is in picture :) also pls explain (if u can)
Answers
The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.
With m + m + m you are adding it 3 times.
So instead multiply m by 3:
The answer is 3m
Answer:
Solution :-In the Question the concept used is the algebra
We know that
\( \sf \: x \times x = {x}^{2} \)
and
\( \sf \: x + x = 2x\)
Similarly
\( \sf \: m + m + m = 3m\)
The method is also known as property of addition in algebra
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answers
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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12 is at most a number decrease by 7 write an inequality to solve.
Thank you
Answers
Answer:
Let x be the number we are looking for.
We know that 12 is at most a number decreased by 7, which can be written as:
x - 7 >= 12
To solve for x, we add 7 to both sides of the inequality:
x - 7 + 7 >= 12 + 7
Simplifying, we get:
x >= 19
Therefore, the solution to the inequality is x >= 19.
The answer is:
19 ≤ wWork/explanation:
Let w be the number. Now, let's write an inequality to solve for w.
Let's focus on the part that says "at most a number". At most means that the number can't be greater than something, it can only be less than. So the symbol for "at most" is ≤, which also means "less than".
Now, decreased by 7 means we subtract 7 from w.
With all this information, we are ready to write the inequality.
The inequality is:
\(\sf{12\leqslant w-7}\)
Now, let's solve it for w.
_________________________
Add 7 on each side
\(\sf{12+7\leqslant w}\)
\(\sf{19\leqslant w}\)
Hence, the answer is 19 ≤ w.Find the Unknown value of the triangle: Trigonometry
Answers
The unknown values in the triangle is calculated to be
PL = 14.3 cm
CY = 7.74
NY = 9.9 mm
LJ = 8.3
How to find the unknown values in the triangleThe unknown values in the triangle is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
1. using Sin = opposite / hypotenuse - SOH
sin x = PL / PX
sin 54.25 = PL / 17.62
PL = sin 54.25 * 17.62
PL = 14.3 cm
2. using Tan = opposite / adjacent - TOA
tan 52.67 = CY / 5.9
tan 52.67 * 5.9 = CY
CY = 7.74
3. using Sin = opposite / hypotenuse - SOH
sin 33.06 = YC / NY
NY = 5.4 / sin 33.06
NY = 9.9 mm
4. using Tan = opposite / adjacent - TOA
tan 55.05 = LJ / VJ
tan 55.05 * 5.8 = LJ
LJ = 8.3
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Find the solution to the system of equations.
2x + 3y + z = 20
3y + 5z = 12
y - 5z = 4
O A. x = 2, y = 5, z = 0
O B. x = 3, y = 3, z = 0
C. X = 4, y = 4, z = 0
D. X = 3, y = -2, z = 4
Answers
Answer:
C is the answer
Step-by-step explanation:
hope that helped
Find the surface area of the pyramid.
A drawing of a square pyramid. The length of the base is 4.5 meters. The height of each triangular face is 6 meters.
Answers
The surface area of the pyramid is 74.25 square meters.
What is surface area?Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.
What is pyramid?A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.
In the given question,
The area of the base is simply the area of a square, which is:
Area of base = length x width = 4.5m x 4.5m = 20.25 square meters
To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).
We can use the Pythagorean theorem to do this:
h²= (1/2 x base)² + height²
h² = (1/2 x 4.5)² + 6²
h² = 2.25 + 36
h² = 38.25
h = √38.25
h = 6.18 meters (rounded to two decimal places)
Now that we know the slant height, we can find the area of each triangular face:
Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters
Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:
Total area of triangular faces = 4 x 13.5 = 54 square meters
Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Surface area = Area of base + Total area of triangular faces
Surface area = 20.25 + 54
Surface area = 74.25 square meters
Therefore, the surface area of the pyramid is 74.25 square meters.
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Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
Answers
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answers
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
Simplify this equation:
\( {7}^{8} \times {7}^{3} \times {7}^{4} \div {7}^{9} \times {7}^{5} \)
![Simplify this equation: [tex] {7}^{8} \times {7}^{3} \times {7}^{4} \div {7}^{9} \times {7}^{5} [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qzpFn5AMNXnS6Tm4AY4f9eLBhzExeLaD.jpeg)
Answers
Answer:
7
Step-by-step explanation:
Exponent law:
\(\sf a^m * a^n = a^{m+n}\\\\\dfrac{a^m}{a^n}=a^{m-n}\)
In exponents multiplication, when bases are same add the powers.
In exponents division, if bases are same subtract the powers.
\(\sf \dfrac{7^8*7^3*7^4}{7^9*7^5}=\dfrac{7^{8+3+4}}{7^{9+5}}\)
\(\sf =\dfrac{7^{15}}{7^{14}}\\\\=7^{15-14}\\\\=7^1\\\\=7\)
Hello, this is the question:
Look at the table below.
X y
1 5
2 7
3 9
4 11
5 13
Which equation represents the relationship of x to y?
A y = 3x + 1
B y = 2x + 3
C y = 3x
D Y =3x-1
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
x = 1 , y = 2(1) + 3 = 5
x = 2, y = 2(2) + 3 = 7
x = 3, y = 2(3) + 3 = 9
x = 4, y = 2(4) + 3 = 11
x = 5, y = 2(5) + 3 = 13.
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
Answers
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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A car was moving at 14 m/s. After 3 seconds, its speed increased to 20 m/s. What was the acceleration during this time?
Answers
Answer:
6 mph
Step-by-step explanation:
the cars acceleration was
6mph
Is a non-rigid transformation which creates a bigger or smaller image?
Answers
Transformations known as rigid motions involve moving but not resizing an image. Dilation is the only transformation that is not a rigid motion. A transformation that alters a figure's size is called a dilation.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations may be divided into four categories: translation, rotation, reflection, and dilation. A metamorphosis is a significant alteration in appearance or form. Your life may change as a result of a significant occasion like getting your driver's license, enrolling in college, or getting married. An extreme, radical change is called a transformation.
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I need help with Additional practice it is find the area of each trapezoids or kite
Answers
Answer:
♡●●♡♤●■
⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■
Step-by-step explanation:
86{\86{●
Using the slope formula, find the slope of the line through the given points.
(7,8) and (9,4)
...
What is the slope of the line?
A. The slope of the line is
(Type an integer or a simplified fraction.)
B. The slope of the line is undefined.
Answers
Answer:
-2
Step-by-step explanation:
Slope = (4-8) / (9-7) = -4/2 = -2
If x= 4, calculate the value of: 3x2 + 4x
Answers
Step by step exploration
3*4*4+4*4=48+16=64
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
Answers
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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i need help on all these questionsFind the equation of the lineHelp with number 10
Answers
Answer:
y = (8/7)x + 33/7
Explanation:
First, we need to calculate the slope of the line. So, we can use the following equation:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x1, y1) and (x2, y2) are the coordinates of two points in the line.
We can replace (x1, y1) with (-5, -1) and (x2, y2) with (2, 7) and get that the slope is equal to:
\(m=\frac{7-(-1)}{2-(-5)}=\frac{7+1}{2+5}=\frac{8}{7}\)Now, the equation of a line with slope m that passes through the point (x1, y1) is:
\(y-y_1=m(x-x_1)\)So, replacing m by 8/7 and (x1, y1) by (-5, -1), we get that the equation is:
\(\begin{gathered} y-(-1)=\frac{8}{7}(x-(-5)) \\ y+1=\frac{8}{7}(x+5) \end{gathered}\)Finally, we can solve the equation for y and get:
\(\begin{gathered} y+1=\frac{8}{7}x+\frac{8}{7}(5) \\ y+1=\frac{8}{7}x+\frac{40}{7} \\ y+1-1=\frac{8}{7}x+\frac{40}{7}-1 \\ y=\frac{8}{7}x+\frac{33}{7} \end{gathered}\)Therefore, the answer is:
y = (8/7)x + 33/7
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answers
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
Find the GCF of 21m5n2 and 28m4n2.
Answers
Please help when you're able to!
Answers
I know this might be hard but I'm struggling hope you can help..!
Answers
Answer:
4. -35. -1/26. 1/27. 48. 09. undefinedStep-by-step explanation:
Use of slope formula:
m = (y2 - y1)/(x2 - x1)4.
m = (7 - 4)/(1 - 2) = 3/-1 = -35.
m = (-2 - 0)/(3 - (-1)) = -2/4 = -1/26.
m = (5 - 3)/(5 - 1) = 2/4 = 1/27.
m = (3 - 0)/(3.5 - 4.25) = 3/0.75 = 48.
m = (3/4 - 3/4)/(5 - 2) = 09.
m = (2 - 3)/(7.5 - 7.5) = -1/0 = undefined