Answer: 3x+18=5x-2
Step-by-step explanation:
3x+ 18x=5x-2
(3x+18x)=5x-2
21x=5x-2
5x 5x
16x=-2
16. 16
X= -1/8
PLEASE HELP!!
At school athletic events you can buy 3 drinks and 2 hot dogs for $4.80, or you can buy 1 drink and 1 hot dog for $2.00. How much does 1 hot dog cost?
A. $0.80
B. $0.96
C. $1.00
D. $1.20
1 hot dog cost is $1.20 .
What is costs?
A cost is the value of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
Let's say that each drink costs $x and each hot dog costs $y.
Using the provided information, 3 drinks and 2 hot dogs cost $4.80. In equation form, it reads as follows:
3 x+2 y=4.80
1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:
x+y=2
x=2-y
Using this value of x in first equation, we get:
3(2-y)+2 y=4.80
6-3 y+2 y=4.80
6-y=4.80
y=6-4.80
y=1.20
Thus the cost of one hot dog is 1.20$
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Which angles are complementary to each other? Select all that apply.
Answer: Choice A only
Angles 1 and 2 add to 90 degrees, ie they join to form a right angle.
Put another way, angles 1,2, and 3 form a straight angle (180 degrees). Angle 3 is 90 degrees, so angles 1 and 2 make up the other 90.
Answer:
∠1 and ∠2
Step-by-step explanation:
Angle 1 and Angle 2 are the only complementary angles because they form a right angle, which is worth 90°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Abeline is creating a box design for a company. The front, back, and sides will be painted, but the top and bottom will not be painted. A prism has a length of 10 feet, height of 8 feet, and width of 12 feet. Which net could be used to find the surface area of the sides that will be painted? A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded, and the first and third rectangle of the bottom 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The middle 4 rectangles are shaded.
Answer:
it is the first one
Step-by-step explanation:
Answer:
A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.
Step-by-step explanation:
Which table represents a linear function
Answer:
First table
Step-by-step explanation:
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Please see attached photo for problem from my homework set.
Answer:
y = (1/3)x - (1/3)
(1/3)
Step-by-step explanation:
We can find the slope by subtracting Q points by P points.
(2 - (-1)) / (7 - (-2))
3 / 9
1/3 = slope
To find y intercept we can use the slope and find the difference left
y = (1/3)x
-1 = (1/3)(-2)
-1 = -(2/3)
This is not true
To make it true we must subtract -(1/3)
This means our equation is
y = (1/3)x - (1/3)
You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of the
game, if you make the shot your team wins! Your basketball is is traveling on a path described by the
following function: b(x) = -x2 +1.36x + 2. The net is on a level described by the following function:
n(x) = 3 between (8 < x < 8.5). Will you make the shot and win the playoffs?
You may work alone or in a group of up to 3 students total.
BONUS: How high in the air will the basketball be at its highest point?
UNITS: x is in meters, y is in meters
Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.
Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.
Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.
Assuming that the basketball follows a parabolic path, we can use the formula:
y = ax² + bx + c,
where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.
To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.
Therefore, the points on the trajectory of the basketball are:
(0, 1.5), (8.5/2, h), and (8.5, 0),
where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,
we get:
1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)
Simplifying equations (1) and (2),
we get:
c = 1.5...(4)b = -a(8.5)²/8.5...(5)
Substituting equation (4) in equation (3), we get:
h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5
Substituting the value of a from equation (5) in the above equation,
we get:
h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5
Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,
we can use the formula:
x = ut + 0.5at²,
where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.
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You measure a foam roller in the shape of a cylinder. The foam roller has a diameter of 5.9375 inches and a height of 53.5 inches. About how many cubic inches of foam were used to make the roller?
Answer:
Volume V ≈ 1481.3269 cubic inches
Step-by-step explanation:
Volume V of a cylinder is given by the formula
V = πr²h where r = radius of the base of the cylinder and h the height
Here we are given the diameter, d = 5.9375 inches
Radius r = d/2 = 5.9375/2 = 2.96875 in
Height h = 53.5 in
V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches
Answer V ≈ 1481.3269 cubic inches
Find the measure of the indicated angle.
45°
65°
55°
135°
270°
T
Complete the statement by filling in the blank. Write your answer on a
separate sheet of paper.
A ___________ is a frequency distribution using the means computed from all
possible random samples of a specific size taken from a population. To get the
possible samples use the formula ______, where N is the ________ and n is the ____
size to be taken. The total probability of the sample mean must be equal to ____.
A sampling distribution is a frequency distribution using the means computed from all possible random samples of a specific size taken from a population.
To get the possible samples, use the formula "N choose n", where N is the population size, and n is the sample size to be taken. The total probability of the sample mean must be equal to 1.
Since the mean of all possible samples must be equal to the population mean. The sampling distribution is an important concept in statistics as it allows us to make inferences about the population based on the characteristics of the sample, and helps us estimate parameters and test hypotheses.
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Solve the problem.
A landscaping team plans to build a rectangular garden that is between 240 yd² and 360 yd2 in area. For aesthetic reasons, they also want the
length to be 1.2 times the width. Determine the restrictions on the width so that the dimensions of the garden will meet the required area. Give exact
values and the approximated values to the nearest tenth of a yard.
The restrictions on the width is that it must be between 14.1 yards and 17.3 yards
How to determine the restrictions on the widthFrom the question, we have the following parameters that can be used in our computation:
Area = between 240 yd² and 360 yd²
Also, we have
Length = 1.2 times the width
This means that
l = 1.2w
The area is then calculated as
Area = lw
So, we have
Area = 1.2w²
This means that
240 < 1.2w² < 360
Divide through by 1.2
200 < w² < 300
Take the square roots
14.14 < w < 17.32
Approximate
14.1 < w < 17.3
Hence, the width must be between 14.1 yards and 17.3 yards
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What is the answer? Help
Answer:
Step-by-step explanation:
h(-9) = (-9)^2 - 2(-9) = 81 + 18 - 99
g(99) = 99 + 4 = 103
answer is C
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Jeremy read 243 pages on Saturday. He read 53 fewer pages on Sunday.
How many pages did he read in all?
243 = the pages read on Saturday
243 - 53 = 190 = the pages read on Sunday
190 + 243 = 433 = total pages read
Answer = 433
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
find the form of the general solution of y^(4)(x) - n^2y''(x)=g(x)
The differential equation
\(y^{(4)}-n^2y'' = g(x)\)
has characteristic equation
r ⁴ - n ² r ² = r ² (r ² - n ²) = r ² (r - n) (r + n) = 0
with roots r = 0 (multiplicity 2), r = -1, and r = 1, so the characteristic solution is
\(y_c=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}\)
For the non-homogeneous equation, reduce the order by substituting u(x) = y''(x), so that u''(x) is the 4th derivative of y, and
\(u''-n^2u = g(x)\)
Solve for u by using the method of variation of parameters. Note that the characteristic equation now only admits the two exponential solutions found earlier; I denote them by u₁ and u₂. Now we look for a particular solution of the form
\(u_p = u_1z_1 + u_2z_2\)
where
\(\displaystyle z_1(x) = -\int\frac{u_2(x)g(x)}{W(u_1(x),u_2(x))}\,\mathrm dx\)
\(\displaystyle z_2(x) = \int\frac{u_1(x)g(x)}{W(u_1(x),u_2(x))}\,\mathrm dx\)
where W (u₁, u₂) is the Wronskian of u₁ and u₂. We have
\(W(u_1(x),u_2(x)) = \begin{vmatrix}e^{-nx}&e^{nx}\\-ne^{-nx}&ne^{nx}\end{vmatrix} = 2n\)
and so
\(\displaystyle z_1(x) = -\frac1{2n}\int e^{nx}g(x)\,\mathrm dx\)
\(\displaystyle z_2(x) = \frac1{2n}\int e^{-nx}g(x)\,\mathrm dx\)
So we have
\(\displaystyle u_p = -\frac1{2n}e^{-nx}\int_0^x e^{n\xi}g(\xi)\,\mathrm d\xi + \frac1{2n}e^{nx}\int_0^xe^{-n\xi}g(\xi)\,\mathrm d\xi\)
and hence
\(u(x)=C_1e^{-nx}+C_2e^{nx}+u_p(x)\)
Finally, integrate both sides twice to solve for y :
\(\displaystyle y(x)=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}+\int_0^x\int_0^\omega u_p(\xi)\,\mathrm d\xi\,\mathrm d\omega\)
Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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You mix 7 tablespoons of vinegar for every 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons of baking soda. How much vinegar do you use?
Answer:
105
Step-by-step explanation:
its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105
The amount of usage of vinegar is 26 \(\frac{1}{4}\) (26.25) tablespoons.
How do I calculate parts for a recipe?One part equals one teaspoon, one cup, or one ounce if you're measuring in those units. All other constituents are tested against one component, which serves as the fundamental measurement. When choosing the portion size, it's useful to take the size of the completed cocktail—along with the amount of ice required—into account.An equalized ratio is used to measure a part in liquid measurements or 1 part of alcohol.Although it's not always the ideal option for bars and restaurants, it is a simple method to make and scale cocktails. When assessing bar inventory data, standard pours should always be in correct volume.Calculations :
No of baking soda tablespoons = 15 No of baking soda tablespoons forproduce a chemical reaction with
7 tablespoons of vinegar = 4
So , divide both : 15/4 = 3.75 = 3 3/4
= 3.75 x 7 = 26.25 = 26 1/4 tablespoons
of vinegar
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-3x + 10y = 11
-8x + 2y = -20
Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-3x + 10y = 11
-8x + 2y = -20
Step 2: Rewrite systems
-8x + 2y = -20
Add 8x to both sides: 2y = 8x - 20Divide 2 on both sides: y = 4x - 10Step 3: Redefine systems
-3x + 10y = 11
y = 4x - 10
Step 4: Solve for x
Substitution
Substitute in y: -3x + 10(4x - 10) = 11Distribute 10: -3x + 40x - 100 = 11Combine like terms: 37x - 100 = 11Add 100 to both sides: 37x = 111Divide 37 on both sides: x = 3Step 5: Solve for y
Define original equation: -3x + 10y = 11Substitute in x: -3(3) + 10y = 11Multiply: -9 + 10y = 11Add 9 to both sides: 10y = 20Divide 10 on both sides: y = 2Step 6: Graph system
Check the system.
The average American eats 13 lbs of ice cream a year (SD = 1.2). A researcher is interested in whether people who work in ice cream stores and are therefore exposed to ice cream more often, end up eating a different amount of ice cream in a year. They found five people working at different ice cream stores and kept track of their ice cream consumption. Here is their data: 11.1, 11.3, 15.8, 14.2, 13.1
Complete the steps of hypothesis testing to determine whether the ice cream store workers ate a different amount of ice cream than normal.
There is no significant evidence that the ice cream store workers ate a different amount of ice cream than 13 lbs
How to solveCritical value: Assume α = 0.05
As Ha contains ≠ sign , this is two tail test, so α/2 = 0.025 therefore Z(α /2) = -1.96
Critical values are -1.96 and 1.96
Critical region: Reject H0, if Z ≥ 1.96 Or -Z ≤ -1.96 , otherwise fail to reject H0
Decision: As Z is less than 1.96 , we do not reject H0
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HELP ME PLEASE ☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️
Answer:
x=85
Step-by-step explanation:
The angle as a whole equals 180 so to find x you just subtract 95 from 180.
Sal has 5 balloons. He has 3 red balloons. The rest are blue. Kay has 5 more blue balloons than sal. How many blue balloons does kay have?
Answer:
Kay has 7 blue balloons
Step-by-step explanation:
if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons
The number of blue balloons does Kay have is 7.
Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of blue balloons does Kay have be x.
Number of blue balloons Sal have = 5-3=2
The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal
⇒ x = 2+5 = 7
Therefore, the number of blue balloons does Kay have is 7.
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Can y’all help me on question 18?!
Answer:
B
Step-by-step explanation:
16 - 7 = 9
Answer:
m=7
Step-by-step explanation:
50 POINTSS Solve for q.
s = 4p + 4q
A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?
Answer:
b. 3
Step-by-step explanation:
find equation of g(x):
(-16-(-10))/(-3-(-1))=-6/-2=3
apply a point
-16=3(-3)+n
-16=-9+n
n=-7
g(x)=3x-7
find equation of f(x):
f(x)=-2(x+5)
simplify
f(x)=-2x-10
subtract y intercepts
-7-10=3
3
Write the letter of the definition next to the matching word as you work through the
lesson.
Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.
What is Hypotenuse?In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.
According to question:Altitude: In a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.Geometric mean: for two positive numbers, a and b, the positive number x that satisfies a/x = x/b.Hypotenuse: The side of a right triangle that is opposite the right angle and is always the longest side of the triangle.Leg: In a right triangle, either of the two sides forming the right angle.One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.
The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.
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Need help
Nnsndndndnddn
Answer:
A. x = 50
Step-by-step explanation:
x° + (x + 10)° + (x + 20)° = 180° (sum of interior angles of a triangle)
Solve for x
x + x + 10 + x + 20 = 180
Add like terms
x + x + x + 10 + 20 = 180
3x + 30 = 180
Subtract 30 from each side
3x + 30 - 30 = 180 - 30
3x = 150
Divide both sides by 3
3x/3 = 150/3
x = 50
Pleaseee help I need a visual to do this. I'll really appreciate it
The visual that can help you in creating a 3D structure using rectangular prism and others is given in the image attached.
What is the 3D structure creation?3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.
In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure will see and work within the real world.
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See text below
1. Start by creating a rectangular prism
as the base of your structure. This will
be the main structure that includes
the walls and interior rooms.
2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.
3. Add another cylindrical tower to the opposite corner of the rectangular
prism. Again, adjust the size and
height to your liking.
4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-
shaped roof to the other cylindrical tower.
5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.
6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.
7. Add a rectangular prism
perpendicular to the main structure,
creating an L-shape. This can be a
separate building or an extension of
the main structure.
8. Add a pyramid-shaped roof to the new
rectangular prism, and a cone-shaped roof to the cylindrical tower on the
opposite side of the main structure. 9. Finally, add spheres as decorative
elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,
pyramids, or cones, as long as you have at least 2 of each of the 5
required shapes.