Answer:
Each postcard cost $0.7.
Step-by-step explanation:
In this problem we have two variables, the price of the postcard and the price of the stamp, since the price for the pain is known. We also have the total cost of the purchase that is $14.1. So we can create an equation as shown:
12*postcards + 12*stamps + pen = 14.1
This represents the total amount spent by Claudia, but we know that each pen costs $1.5, therefore:
12*postcards + 12*stamps + 1.5 = 14.1
12*postcards + 12*stamps = 14.1 - 1.5
12*postcards + 12*stamps = 12.6
We also know that the postcards cost twice as much as the stamps, so we have:
postcards = 2*stamps
Using this info we can solve for stams as shown below:
12*(2*stamps) + 12*stamps = 12.6
24*stamps + 12*stamps = 12.6
36*stamps = 12.6
stamps = 12.6/36
stamps = 0.35
postcards = 2*stamps = 2*0.35 = 0.7
Each postcard cost $0.7.
Answer:
the cost of a post card is $0.7
Step-by-step explanation:
Given
Number of postcard = 12
Number of stamp = 12
Number of pen = 1
Cost of a pen = $1.5
Required
Cost of each postcard..
Let P represent postcards, S represent stamps,Sp represented Pen.
Since there's a total of 12 postcard and 12 staffs, we have:
12P + 12S + 1.50 = $14.10
From the question, we have that the postcards cost twice as much as the stamps.
So, P = 2S.
Substitute 2S for P
12 * 2S+ 12S + 1.5 = 14.10
24S + 12S + 1.5. = 14.10
36S + 1.5 = 14.10
Collect like terms
36S = 14.10 - 1.5
36S = 12.6
Divide through by 36
S = 0.35
Recall that P = 2S.
So, p = 2 * 0.35
P = 0.7
Hence, the cost of a post card is $0.7
A sample of gas has a volume of 100.0 L at 135°C. Assuming
the pressure remains constant, what is the volume of the gas if
its temperature decreases to 72.0°C?
Answer:
84.6
Step-by-step explanation:
135c + 273.15 = 408 K
72C + 273.15 = 345 K
100 L over 408 K = V2 over 345 K
V2= 84.6
The volume of the gas when temperature decreases to 72.0 °C is 84.6 L
What is volume?Volume is a physical quantity that measures the amount of three-dimensional space occupied by matter (solid, liquid, or gas).
Volume is defined as the three-dimensional space occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m³),
Given that, a sample of gas has a volume of 100.0 L at 135 °C, the pressure remains constant, we need to find that what is the volume of the gas when temperature decreases to 72.0 °C
Converting the temperature into Kelvins =,
135C + 273.15 = 408 K
72C + 273.15 = 345 K
100 L / 408 K = V2 / 345 K
V2 = 84.6
Hence, the volume of the gas when temperature decreases to 72.0 °C is 84.6 L
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Question 2 of 10
2 Points
Which of the following describes a rigid motion transformation?
O
A. Enlarging the size of a parking spot
O
B. Dilating a picture
O
C. Slicing a sandwich into 4 pieces
O
D. Hitting a tennis ball over a net
Option (D) Hitting a tennis ball over a net describes the rigid motion transformation option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a statement:
Which of the following describes a rigid motion transformation?
As we know, geometric transformation also known as rigid transformation is a change in geometry.
Thus, option (D) Hitting a tennis ball over a net describes the rigid motion transformation option (D) is correct.
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The area of a kite ABCD is 900cm2 and one diagonal is 25cm long. Find the length of the other diagonal. Please answer!!!
Answer:
72 cm
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here A = 900 and d₁ = 25, thus
[tex]\frac{1}{2}[/tex] × 25 × d₂ = 900 ( multiply both sides by 2 )
25d₂ = 1800 ( divide both sides by 25 )
d₂ = 72 cm
Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements.
x1 = 15, n1 = 50 and x2 = 23, n2 = 60;
Construct a 90% confidence interval for the difference between population proportions p1 - p2.
Null Hypothesis (H0): p1 - p2 = 0. Alternative Hypothesis (H1): p1 - p2 ≠ 0. Test Statistic: Z-score. 90% confidence interval: (-0.191, 0.291). Conclusion: Fail to reject H0, indicating no significant difference in population proportions.
1) Null Hypothesis (H0): There is no difference between the population proportions (p1 - p2 = 0).
Alternative Hypothesis (H1): There is a difference between the population proportions (p1 - p2 ≠ 0).
2) Test Statistic: Z-score for two independent proportions.
3) P-value or Critical Value: Z-value for a 90% confidence interval.
4) Concluding Statement: With a 90% confidence interval, we find the difference in population proportions to be between -0.191 and 0.291. Thus, we fail to reject the null hypothesis.
The complete question is:
Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements. x1 = 15, n1 = 50 and x2 = 23, n2 = 60; Construct a 90% confidence interval for the difference between population proportions p1 - p2.
30 POINTS!!!
The height of a cable in a suspension bridge changes based on the horizontal distance from the tower supporting the cable. The graph shows the relationship between horizontal distance and height.
For what horizontal distance is the height the smallest?
250 feet * this is what I think*
300 feet
500 feet
900 feet
Answer:
250 feet
Step-by-step explanation:
Vertex: (250,300)
Minimum height is 300 when the horizontal distance is 250
Step-by-step explanation:
Step 1: Find the smallest height
If you look at the graph, you can tell that at 250 feet, the height in feet is the lowest and it is at 250. Therefore, the vertex is also (250, 250). But, we are just looking for the x-value which will be 250.
Answer: Option A, 250 feet... you were correct :) Good Job
The area of a square can be found using the equation A = s, where A is the area and s is the measure of one side of the square
Match the equation for how to solve for the side length of a square to its description.
A square has an area of 60 in?
8=V602 in.
s=760 in.
S = 602 in
S = 60 in
Plz help
Answer:
7880
Step-by-step explanation:
If A is S then S is A so using Trin's method...you can find 18x*760+y
evaluate the expression for f=6
15+f
Answer:
21
Step-by-step explanation:
15+f
Let f = 6
15+6 = 21
The equation ___ has no solution.
A. 13y+2-2y=10y+3-y
B. 9(3y+7)-2=3(-9y+9)
C. 32.1y +3.1+2.4y-8.2=34.5y-5.1
D. 5(2.2y+3.4_=5(y-2)+6y
Answer:
c) 32.1y +3.1+2.4y-8.2=34.5y-5.1
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 4 and y-intercept at (0, 2)?
O A. y = 2x+4
B. y = 4x-2
c. y = 4x + 2
D. x = -2x-4
Answer:
C features a slope of +4 and a y-intercept of +2
Step-by-step explanation:
Only the middle two answers feature a slope of +4, so eliminate answers A and D. Answer C features a slope of +4 and a y-intercept of +2
The equation of a line in slope-intercept form for a line with slope 4 and y-intercept at (0, 2) is C. y = 4x + 2.
Explanation:In the slope-intercept form of a linear equation, y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. If we substitute the given values into this equation, with m = 4 (the slope) and b = 2 (the y-coordinate of the y-intercept), we get y = 4x + 2. So, the correct answer is C. y = 4x + 2.
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A soccer ball is at rest and is then kicked giving it a final velocity of 6.0 m/s. The ball has a mass of
0.28 kg. If the time of contact between the soccer player's foot and the ball is 0.020 s, what was the
average force applied to the ball?
Answer:
The average force applied to the ball is 84N
Step-by-step explanation:
This problem bothers on the impulse of a force
Given data
Mass of ball m= 0.28kg
Initial speed u= 0m/s
Final speed v= 6m/s
Time of impact t= 0.02s
We know that the impulse of a force
Ft= mv-mu
Hence the force is
F= (mv-mu)/t
F=m(v-u)/t
F= 0.28(6-0)0.02
F= 1.68/0.02
F= 84N
Solve for x 5(x + 1)= 4x +7
Answer:
x = 2
Step-by-step explanation:
5(x + 1) = 4x + 7
5x + 5 = 4x + 7
x + 5 = 7
x = 2
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
5(x+1)=4x+7
Step 1: Simplify both sides of the equation.
5(x+1)=4x+7
(5)(x)+(5)(1)=4x+7(Distribute)
5x+5=4x+7
Step 2: Subtract 4x from both sides.
5x+5−4x=4x+7−4x
x+5=7
Step 3: Subtract 5 from both sides.
x+5−5=7−5
x=2
Explain how to complete the square for an expression of the form x2+bx
.
Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
Important information:
The given expression is [tex]x^2+bx[/tex].Completing the square:We know that,
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]
It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].
[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]
Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
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To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.
Explanation:Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:
Divide the coefficient of x (which is 'b' in your equation) by 2 and square the result. This will be the value added and subtracted within the square to complete it. Add and subtract the calculated number from step 1 inside the parenthesis to maintain the balance of the equation. Simplify the equation, factoring out the perfect square trinomial formed.
In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.
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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.
[Not drawn to scale]
120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters
Answer:
220 square centimeters Option c.
Step-by-step explanation:
There are 6 faces of a rectangular prism, so to find the surface area of the prism, add the area of each faces.
Surface Area = 2(lw + lh + wh)
where, l = Length, w = Width and h = Height of the rectangular prism.
According to the given dimensions
Length = 10 cm
Width = 4 cm
Height = 5 cm
Therefore, the surface area of the given rectangular prism will be,
S.A. = 2((10)(4) + (10)(5) + (5)(4))
= 2(40 + 50 + 20)
= 2 (110)
= 220 cm²
Surface area of the rectangular prism will be 220 cm².
We have been given that a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm. We are asked to find the surface area of the prism.
We will use surface area of rectangular prism to solve our given problem.
[tex]A=2(lw+wh+hl)[/tex], where,
l = Length,
w = Width,
h = Height.
[tex]A=2(10\text{ cm}\cdot 4\text{ cm}+4\text{ cm}\cdot 5\text{ cm}+5\text{ cm}\cdot 10\text{ cm})[/tex]
[tex]A=2(40\text{ cm}^2+20\text{ cm}^2+50\text{ cm}^2)[/tex]
[tex]A=2(110\text{ cm}^2)[/tex]
[tex]A=220\text{ cm}^2[/tex]
Therefore, the surface area of the given prism would be [tex]220\text{ cm}^2[/tex] and option C is the correct choice.
Boomtown completes a census every ten years. The table shows the population of the town for each census taken.
What will be the population in 2100?
A. 119,574,225
B. 39,858,075
C. 367
D. 4,782,969
Answer: b 39,858,075
Answer:
Answer: b 39,858,075
Step-by-step explanation:
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is less than 6
Event B = the second digit is less than 6
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A)1/4
B)3/7
C)4/9
D)1/2
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 35 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Answer: 1/2
Step-by-step explanation:
Find the area of the triangle with a = 3 feet, b = 4 feet, and c = 6 feet. Round to the nearest tenth.
Answer:
12 feet squared.
Step-by-step explanation:
The formula is (A*B)/2. (Remember, multiply first, then divide.)
4. If f(x) = 4x - 9, what is the equation for f1(x)?
ºf-'(x) == -9
X+9
© f*(x) = **
© F"(x) = + 9
f"(x) = x -9
0
Answer:
F1(x) = 4x-9 Thats the answer
21. Is the histogram uniform, symmetric, or skewed? (1 point)
uniform
symmetric
skewed
Answer:
Symmetric
Step-by-step explanation:
The data is spread out symmetrically. It isn't uniform because the values aren't around each others values. It isn't skewed because the data isn't 'closer' to one side.
Answer:
symmetric
Step-by-step explanation:
if you put a line down the middle you’ll notice both sides are symmetric, kind of like looking into a mirror
Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in both accounts combined. What variable is needed to calculate their combined total?
A.
m, the amount of money in Michael's bank account
B.
d, the difference between the amounts in Aidan's and Michael's account
C.
l, the amount of money in Michael's account last month
D.
a, the amount of money in Aidan's bank account
Answer:
the answer was A m the amount of money in Michael's account
Step-by-step explanation:
Answer: a, the amount of money in Michaels bank account
Step-by-step explanation:
Dolce the equation below for x 1/2(x+256)=180? I need help
Answer:
x=104
Step-by-step explanation:
x+256=360
x=360-256
x=104
Answer:
Step-by-step explanation:
104
Please help thank you
Answer:
5,-3
Step-by-step explanation:
Answer:
5,-3 $&$&$,$,$,,$$,$,,$,$,$,$,
A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.
Answer:
(x-10)²+(y+9)²= 324.
Step-by-step explanation:
For this question, you will need to substitute these values into the equation of a circle:
(x-h)²+(y-k)²= r²
'h and k' represent the center points, and 'r' represents the radius.
This will result in:
(x-10)²+(y+9)²=324.
Super urgent!
Solve the equation for all real values of x. 3tan^2 = sqrt3 tanx
To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, divide both sides of the equation by tan(x) and then take the inverse tangent of both sides. The solutions for x are 30°, 210°, 390°, ...
Explanation:To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, we can start by rearranging the equation. Divide both sides of the equation by tan(x) to get:
3tan(x) = sqrt3
Next, divide both sides of the equation by 3 to get:
tan(x) = sqrt3/3
Now, we need to find the values of x where the tangent function equals sqrt3/3. We can use the inverse tangent function to find the angles. Taking the inverse tangent of both sides gives:
x = arctan(sqrt3/3)
Then, we can simplify the expression:
x = 30° + n * 180°
where n is an integer. Therefore, the solutions for x are 30°, 210°, 390°, ...
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Isaiah creates 5 music playlists for a party. Each playlist has 10 songs. How many songs did Isaiah include in all of
his playlists?
Answer:
Isaiah included 50 songs in all of
his playlists.
Step-by-step explanation:
Each playlist has 10 songs. So if you have 2 playlists then you have 10 songs for the first playlist and 10 songs for other playlist.
In this question there are 5 playlists, so 10 + 10 + 10 + 10 + 10 =50 songs.
In mathematics you can multiply to get the answer quickly:
5 * 10 = 50
That is a lot faster and you still get the same result!
If you had a penny today, that doubled everyday for a month How much will you have in each account at the end of the month?
Write your explanation
Today: 1 cent.
Since there are 30 days which you double, multiply it by [tex]2^{30} .[/tex]
You get ABOUT 1 billion, or 1,000,000,000
Convert that to dollars (divide by 100), and you get...
Answer:
A Penny Doubled Everyday. Quite a big difference once you look at it as you would be getting over 5 million dollars with the penny doubled everyday for 30 days route.
Step-by-step explanation:
Consider Carmen’s new set of plans. Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank. Examine the lines that are cut by transversals to determine the measure of angle 1. What is the measure of angle 1? m <1= ° Why?
Based on the vertical angles theorem, the measure of angle 1 is: 48°.
What are Vertical AnglesVertical angles are always directly opposite each other and are formed when two straight lines crosses each other.
In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).
Therefore:
m∠1 = 48° (vertical angles)
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Answer:
The Answer it's 48 And It corresponds to the 48-degree anglee.
Step-by-step explanation:
On EDGE 2022!
Mia has $1,000 in savings and wants to deposit her money in the savings account that will pay the most annual
interest. She is choosing between two accounts: Account A pays 5 percent and Account B pays 4 percent. Which
account will pay more interest? How much more will it pay each year?
Answer: Account A pays more interest. It pays $10 more.
Step-by-step explanation:
The following information can be derived from the question:
Principal= $1000
Account A rate= 5%
Time = 1 year
Interest= (Principal × Rate × Time)/100
= ($1000 × 5 × 1)/100
= $5000/100
= $50
Account A pays interest of $50
Principal= $1000
Account B rate= 4%
Time = 1 year
Interest= (Principal × Rate × Time)/100
= ($1000 × 4× 1)/100
= $4000/100
= $40
Account B pays interest of $40
From the solutions provided, Account A pays more interest. This is calculated as: $50 - $40 = $10
Samuel has a hamster cage that is a rectangular prism. It is 20 inches
long, 12 inches deep, and 10 inches tall. What is the volume, in cubic
inches, of Samuel's hamster cage?
2,400 1/8 cubic inches
2,521 1/2 cubic inches
5791 1/9 cubic inches
1,158 1/4 cubic inches
Answer:
well im not sure but that's what i got
Step-by-step explanation:
(20)(12)(10)=2400
2400/4= 800
The volume of the given rectangular prism is 2400 cubic inches.
Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
Volume of a rectangular prism = Area of a base × Height.
Here, Area of a base = length × width
= 20 × 12
= 240 square inches
So, volume = 240 × 10
= 2400 cubic inches
Therefore, the volume of the given rectangular prism is 2400 cubic inches.
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PLEASE HELP!!!
Which expression can be used to find the surface area of the following square pyramid?
Choose 1 answer:
O 36+30+30+30+30
O 36+15
O 36+15+15+15
O 36+15+15+15+15
Answer:
36+15+15+15+15
Step-by-step explanation:
the base is 36, 6x6, and then you do the triangles, 6x5(1/2) which is 15, but there are 4 of them.
Answer:
its A) 36+15+15+15+15
Step-by-step explanation:
If a math test has questions on spelling, the test does not
have this type of validity.
Answer:
True
Step-by-step explanation:
It's a math test so it should be math questions not spelling.