The value of the subtraction (12x-1.8) - (15x+7.3) = -3x-9.1
Given the expression is,
(12x-1.8) - (15x+7.3)
So evaluating the subtraction is given by,
(12x-1.8) - (15x+7.3)
= 12x - 1.8 - 15x - 7.3 [When brackets opened then all the signs inside the brackets must multiplied by the sign before the bracket]
= -3x - 9.1
So the value of given subtraction of expression is (-3x - 9.1).
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Can someone help me I don’t get it
an amusement park sold 46 child tickets. The other 4 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets? Select all correct ratios
Answer:
2:46
1:23
Step-by-step explanation:
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
The electrical resistance varies directly as the square of the voltage (V
) and inversely as the electric power (P
). If the voltage is 20
volts and the electric power is 5
watts, then the electrical resistance is 80
ohms.
The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.
In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.
The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.
According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms
Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.
Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
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E U F {2,4,6,8,} true or false
Franco made a dozen muffins for his party. Upon taking them out of the oven he noticed that 2 of the muffins were badly burnt. Franco served 7/10 of the remaining muffins. Which equation shows the fraction of the non burned muffins that remains?
Answer:
(B)\(\frac{10}{10}-\frac{7}{10}=\frac{3}{10}\)
Step-by-step explanation:
The question is Incomplete. Find the complete question in the attachment.
Number of muffins made by Franco =12
Number of Badly Burnt Muffins =2
Number of non burned muffins =12-2=10
Franco served \(\frac{7}{10} $ of the non burned muffins = $ \frac{7}{10}*10=7$ muffins\)
Therefore, the number of non burned muffins that remains =10-7 =3
We can then say the fraction of the non-burned muffins that remains\(=\frac{3}{10}\)
Therefore, the correct equation is in Option B:
\(\frac{10}{10}-\frac{7}{10}=\frac{3}{10}\)
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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A Travis Scott concert ticket costs $52. Jessica says the ticket is about $50. Alison says it is about $100. Who is correct: Jessica, Alison, both of them or neither of them? Explain your answer. O Alison O Both of them O Jessica O Neither of Them
The answer is:
Neither of Them
Explanation:
1,1,1,3,5,9,17,31.....
FIND OUT HOW MANY ODD NUMBERS ARE
IN THE PATTERN Befort THE 2021st NUMBER?
Answer:
2020
Step-by-step explanation:
The rule that this sequence follows is that each number is the sum of the last three numbers:
1+1+1=3
1+1+3=5
1+3+5=9
3+5+9=17
5+9+17=31
We can see that every number is going to be odd because they are always the sum of three odd numbers, and three odd numbers always add up to be another odd number (odd+odd+odd=even+odd=odd).
Therefore, if all the numbers in the sequence are odd, all the numbers before the 2021st number will be odd, so our answer is 2020.
A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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plzz help me with this question
Answer:
x = 5
Step-by-step explanation:
We need to find the value of x in this case.
For this, we need to consider that the triangles are similar. Now, we can find it as follows :
\(\dfrac{12}{3}=\dfrac{20}{x}\\\\x=\dfrac{20\times 3}{12}\\\\x=5\)
So, the value of x is equal to 5.
PLEASE HELP!!!!! Find BM.
Answer:
BM = 26
Step-by-step explanation:
The vertical slash marks indicate that AM and BM are equal. So all you need to do is equate the AM = BM
3x - 4 = 4x - 14 Add 14 to both sides
3x - 4 + 14 = 4x Combine
3x + 10 = 4x Subtract 3x from both sides
10 = 4x - 3x Combine
x = 10
But that is not the answer. The question asks for BM
BM = 4x - 14 Substitute x = 10
BM = 4*10 - 14
BM = 40 - 14
BM = 26
how to solve for a triangular prism
In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
Find the missing side lengths. Leave your answers as radicals in simplest form.
-
CAN ANYONE HELP ME ASAP? I’ll mark brainliest!!!
Infinitely many solutions
-3x + y = 7
2x
-
Y
Y =
=
6x
3x
-
One solution
-
4y = -8
-4x
5
-4x + 1
-
y
= 4
2y = 8
0
No solution
Answer:
x=0
Step-by-step explanation:
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answer:
130 balloons
Step-by-step explanation:
2. Using the link on the activity page, cut out each net. Fold and tape each net into a
solid. Your solids do not need to be perfect. (9 points: 3 points for
three-dimensional
each solid)
To fold and tape a net into a solid shape, cut out the net, fold it along the lines, tape the edges together, and flatten the edges
Instructions for Folding and Taping a Net into a Solid ShapeThe net cannot be fold and tape as it is given as a picture, however the general steps to fold and tape a net into a solid shape:
Choose a netCut out the net: Cut out the net along the lines so that you have a flat, two-dimensional shape.Fold along the lines: Fold the net along the lines indicated on the paper. Tape the edges: Use small pieces of clear tape to connect the edges of the net together, forming a solid shape.Flatten the edges: After taping, you may notice that some edges of the solid shape are not lying flat.When the above stapes are followed, some of the nets that can be gotten from the given shape are triangular pyramids and triangles
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A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
Answer:
3 for each
Step-by-step explanation:
add 3 and 5 together, then divide the sum by 24
3 + 5 = 8 24 / 8 = 3
Answer:
Hi,
Step-by-step explanation:
\(\begin {array} {|c|c|c|}muffins&Pizza\ pies&calculus\\----&-----&-----\\3&5& 3+5=8\\*3&*3&*3\\9&15& 24\\----&-----&-----\\\end {array} \\\)
The bakery have sold 9 muffins and 15 pizza pies.
Identify the x-intercept point(s) of the parabola.
A) (0,3) and (-1,0)
B) (3,0)
C) (3,0) and (0,3)
D) (-1,0) and (3,0)
Answer:
D
Step-by-step explanation:
First of all, there are 2 different points. That lets out B.
The graph crosses the x axis at 3 and -1 Those two are x values. That lets out C and A.
So all you are left with is D. The y values have to be 0. The x values are 3 and - 1
Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist, he has 100 country songs and 24 rock songs. On his road trip playlist, Fernando has 25 country songs.
How many rock songs are on Fernando's road trip playlist?
Answer:
There are 6 rock songs on Fernando's road trip playlist.
Step-by-step explanation:
Given that he keeps the ratio same
This means that the ratios for both summer playlist and trip playlist will be the same
Let
c1 be the country songs in summer playlist
r1 be the rock songs in trip playlist
Similarly,
c2,r2 will be the country and rock songs in trip playlist
Both will be equal so
\(\frac{c_1}{r_1} = \frac{c_2}{r_2}\)
Putting the values
\(\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6\)
Hence,
There are 6 rock songs on Fernando's road trip playlist.
Answer:
6 songs
Step-by-step explanation:
-5 1/4 -(-7 1/2) simplify
really fast pleas
what are three ratios that are equivalent to 8 5
Answer:
15:24, 20:32 and 40:64.
Step-by-step explanation:
hope this helps
Answer:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
Step-by-step explanation:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
Sally can paint a room in 6 hours while it takes Steve 8 hours to paint the same room. how long would it take them to paint the room if they work together
Answer:
It will take them 3.5 hours to paint the room.
Step-by-step explanation:
Step 1: Add the number of hours it takes them together
A. 6 + 8
Step 2: Divide the total number of hours by two (since two people are working together)
B. 12 / 2 = 7 hours
Step 3: Divide by two again since you now have twice the speed
C. 7 / 2 = 3.5 hours
Divide 0.4 / 41 Enter your answer as a decimal in the box.
Answer:
0.4 / 41=0.009760
It starts to repeat the same numbers
Step-by-step explanation:
Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Please help!! Thank youuu
Answer:
Angle 2 = 140
Angle 3 = 40
Angle 4 = 140
EXPLANATION:
So all of these angles are going to add up to 360 degrees. The angle on the opposite side is going to be equal
angle 2 = angle 4
angle 3 = angle 1
40+40= 80
360-80= 280
280/2= 140