Painted Pots lets customers choose and paint their own potter
y. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
Which equation can you use to find c, the cost of each teacup?
What was the cost of each teacup
The value of the equation is y = 4c + 18 , where c is the cost of each teacup and c = $ 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total cost Rebecca spend on teacups = $ 42
The cost of the large teapot = $ 18
The cost of small teacups be = c
The number of small teacups = 4
So , the equation will be
Total cost Rebecca spend on teacups = cost of the large teapot + ( number of small teacups x cost of small teacups )
Substituting the values in the equation , we get
42 = 18 + 4c
y = 4c + 18 be equation (1) , where y is the total cost
On simplifying the equation , we get
Subtracting 18 on both sides of the equation , we get
4c = 24
Divide by 4 on both sides of the equation , we get
c = $ 6
Therefore , the cost of each teacup is $ 6
Hence , the equation is y = 4c + 18
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A flower garden is shaped like a crde. Its radius is 19 yd. A ring-shaped path goes around the garden. The width of the path is 6 yd. The gardener is going to cover the path with sand. If one bag of sand can cover 8 yd?, how many bags of sand does the gardener need? Note that sand ca only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for r.)
First, calculate the area of the ring path.
The area of the ring path can be calculated by subtracting the area of a circle with radius 19+6 = 25 and the area of a circle with radius 19:
A = π(25)² - π(19)² = 625π - 361π = 264π = 264(3.14) = 282.96
Then, the area of the ring path is 282.96 yd².
One bag of sand cover 8 yd², then, the number od required bag of sands are:
282.96 yd²/8 yd² = 103.62 ≈ 104
Hence, approximately 104 bags of sand are required for the ring path.
Simplify this expression for 19 point!
-0.5p+1/2p-2.75+2/3p
Answer:
you mean 10?
-2.75+\(\frac{2p}{3}\)
Step-by-step explanation:
40% of what number is 60
Answer:
24
Step-by-step explanation:
Lets make this simple, divide it by 10 then mulitiply by 4 and there you go
Answer:
150
Step-by-step explanation:
I don't think it's anything under 4in, but I'm not sure.
Answer:
5
Step-by-step explanation:
All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.
Given a battery rated at 350 ampere-hours how many hours will the battery be able to provide 7 amperes
From the division computed, it should be noted that the number of hours that the battery will be able to provide 7 amperes will be 50 hours.
The information given is about the division of numbers. It was stated that the battery is rated at 350 ampere-hours.
The number of hours that it will be able to provide 7 amperes will be:
= 350 / 7
= 50 hours.
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You want to restrict the domain of the function shown in the graph below to make it one-to-one so that it will have an inverse. What are the largest domains, in interval notation you could use
Answer:
(-∞, -3] or [-3, ∞)
Step-by-step explanation:
You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.
One-to-oneA one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.
ApplicationFor that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).
The largest intervals on which the function has an inverse are ...
(-∞, -3] or [-3, ∞)
<95141404393>
To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.
Explanation:To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.
If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.
For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.
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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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John's water bill this month was $19.67 . Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?
Answer:
0.001967 per gallon
Step-by-step explanation:
19.67/10000 = 0.001967
what is 3(3x +2) = 9x-7
Answer:
No solutions
Step-by-step explanation:
3(3x + 2) = 9x + 7
9x + 6 = 9x + 7
9x - 9x = -6 + 7
0 = -1
No solutions
Hope this helps!
Please Help me! I am giving 100 Points!
This is BEDMAS. B= BRACKETS E= EXPONENTS D= DIVIDE M=MULTIPLY A= ADD S= SUBTRACT. Do them in order.
1=
Answer:
Step-by-step explanation:
3) (15/3)^2+14+6+3^2
=5^2+14+6+3^2
=25+14+6+3^2
=25+20+3^2
=25+20+9
=25+29
=54
Answer:
3. 54
4. -524
5. 59
8. 60
9. 78
10. 61
Step-by-step explanation:
3. (15 / 3)^2 + ((14 + 6) + 3^2)
(5)^2 + ((20) + 9)
25 + 29 = 54
4. ((11 + 2) - (24 / 2)^2) x 2^2
((13) - (12)^2) x 4
(13 - 144) x 4
-131 x 4 = -524
5. ((4 + 3)^2 + 6) - 5 + 3^2
(7^2 + 6) - 5 + 9
(49 + 6) - 5 + 9
55 - 5 + 9
50 + 9 = 59
8. (6^2 + (24 / 3 + 5^2)) - 3^2
(36 + (8 + 25)) - 9
(36 + 33) - 9
69 - 9 = 60
9. ((10 - 4)^2 x 2) + 2 + 2^2
(6^2 x 2) + 2 + 4
(36 x 2) + 2 + 4
72 + 2 + 4 = 78
10. (7^2 + (16 / 8 + 2^2)) + 3^2
(49 + (2 + 4)) + 9
(49 + 6) + 9
55 + 9 = 61
PLEASE HELPPP dbhwbdbff
Camp Summer Fun will need about 83 tents.
The actual number of tents needed is less than the estimate because 331 divided by 4 is 82.75 and because I rounded to 83 it is less.
Hope this helped :)
solve the inequality:8x+3>2x-15
8x + 3 > 2x - 15
8x - 2x > -15 - 3
6x > -18
x > -3
Answer:
x > -3
Step-by-step explanation:
8x + 3 > 2x - 15
Add -3 and -2x on both sides.
8x - 2x > -15 - 3
6x > -18
Divide 6 into both sides.
x > -18/6
x > -3
problem 3: global destination in this problem: use the algorithms from class, such as dfs, bfs, dijkstras, connected components, etc., as a black-box subroutine for your algorithm; see the instructions on the front page. make sure to explain your algorithm in words. let g
DFS can be used because the graph is directed and all of the edge weights are positive.
What is Algorithms?
An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.
Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.
The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).
where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).
Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.
Since the graph is directed and every edge weight is positive, DFS may be used.
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Given cosine of x is equal to one half comma what is the value of cos(x + π)?
A. square root of 3 over 2
B. negative square root of 3 over 2
C. one half
D. negative one half
Answer:
D. negative one halfStep-by-step explanation:
trigonometric Formula :
cos(x + π) = − cos(x)
………………………………………
We are given , cos(x) = 1/2
Since , cos(x + π) = − cos(x)
then
cos(x + π) = − 1/2
find the 7th term in the sequence
1/3, 1, 3, 9...
Answer:
27 because if you look at it it multiplies by three
julia needs to make 500 hamburgers for the a school function... hamburger patties are sold in packets of 12
how many packets of patties should she buy ?
Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:
12x = 500
x = 500/12
x = 41.67
x≅ 42
Julia needs to buy 42 packets
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Ed keeps his sneaker collection carefully arranged on the floor of his closet. 8 pairs of
sneakers fit perfectly side-by-side from one end of the closet to the other. The closet is 60
inches wide.
Find the measure of arc BEF.
Given:
The diagram of a circle.
\(m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ\).
To find:
The measure of arc BEF.
Solution:
The measure of central angle is equal to the measure of corresponding arc.
So, in the given figure,
\(n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ\)
Now,
\(m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)\)
\(m(arcBEF)=124^\circ +30^\circ+76^\circ\)
\(m(arcBEF)=230^\circ\)
Therefore, the measure of arc BEF is 230 degrees.
Compare with using >, =, or <
answer for 100 points
:D
The numbers are compared with the inequality symbols as follows:
a. 3 > -3.
b. 12 < 24.
c. -12 > -24.
d. 5 = - (-5).
e. 7.2 > 7.
f. -7.2 < 7.
g. -1.5 = -3/2.
h. -4/5 > -5/4.
i. -3/5 = -6/10.
j. -2/3 < 1/3.
What are the inequalities?The inequality symbols used in this problem are defined as follows:
>: greater than.=: equals to.<: less than.The observations to some items are given as follows:
c. -12 > -24 -> for negative numbers, the lower the absolute value of the number, the greater it is.d. 5 = - (-5) -> applying the parenthesis, we have that: - (-5) = 5, as the negative before the parenthesis changes the sign inside the parenthesis.g. -1.5 = -3/2. -> the fraction is converted to decimal dividing the numerator of -3 by the denominator of 2.More can be learned about inequalities at https://brainly.com/question/25275758
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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A total of $6000 is invested: part at 5% and the remainder at 10%. How much is invested at each rate if the annualinterest is $5902
Given:
Principal amount = $6000.
Let x be the amount invested at 5%.
So, 6000-x be the amount invested at 10%.
The annual interest is $590
The equation is written as,
\(\begin{gathered} 5\text{ \%x+(6000-x)10 \%=590} \\ \frac{5}{100}x+(6000-x)\frac{10}{100}=590 \\ 0.05x+(6000-x)0.1=590 \\ 0.05x+600-0.1x=590 \\ -0.05x=-10 \\ x=\frac{10}{0.05} \\ x=200 \\ 6000-x=6000-200=5800 \end{gathered}\)Answer: At 5%, the amount invested is $200, and at 10%, the amount invested is $5800.
I need help solving this
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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The base diameter and the height of a cone are both
equal to x units.
X
X
Which expression represents the volume of the cone, in
cubic units?
Ο πχ
O 27x³
7x3
The volume of a cone is given by the formula:
V = (1/3) * π * r^2 * h
Where V is the volume, r is the radius of the base, and h is the height of the cone.
In this case, the base diameter and the height of the cone are both equal to x units, so the radius of the base is x/2 units. Therefore, the volume of the cone is:
V = (1/3) * π * (x/2)^2 * x
= (1/3) * π * x^3 / 4
= (π/4) * x^3
The correct expression for the volume of the cone is therefore O πx^3.
The expression that represents the volume of the cone in cubic units is:
V = (1/12) π x³
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is 1/3πr²h
We have,
The volume of a cone can be calculated using the formula:
V = (1/3) πr²h
where r is the radius of the base and h is the height.
Since the diameter of the base is equal to x, the radius is equal to half the diameter, which is x/2.
Also, we know that the height of the cone is also equal to x.
Substituting these values into the formula, we get:
V = (1/3)π (x/2)² x
Simplifying this expression, we get:
V = (1/3)π(x²/4)x
V = (1/12)πx³
Therefore,
The expression that represents the volume of the cone in cubic units is:
V = (1/12) π x³
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simplify 3y-10y+y+7y
Answer: y
Step-by-step explanation:
For this, you would just add everything and then tag a y on the end.
3y-10y=-7y
-7y+y= -6y (y is the same thing as 1y)
-6y+7y= 1y which is just y
It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:
5x+2x+3y+5y
the answer would be 7x+8y (you cannot combine x and y)
Hope this helps :)
Answer: y
Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.
Find y.
I will give Brainliest to correct answer !
Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)
What is a square root function?In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;
f(x) = √x
g(x) = -√9(x - 1) + 2
\(g(x) = -\sqrt{9(x - 1)} + 2\)
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what is the pythagoras theorum in terms of shakespear?
Answer:*
Step-by-step explanation:
when max and evie were counting their items of candy after trik or treating. the total humber of items was at least 90 and at most 115. If Evie had 42 items of candy, which of the following inequalities represents all possible number of items, m, that Max could have had?
Answer:
48 ≤ m ≤ 73
Step-by-step explanation:
Evie has 42, Max has x.
Total candy = x + 42
90 ≤ x+42 ≤ 115
48 ≤ m ≤ 73
Max can have 48 or more, but no more than 73
Can you please simplify c5 x c
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2