Answer:
I think its 24
Step-by-step explanation:
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form. When y=20 , x=12.
Given:
y is proportional to x.
y=20 and x=12.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting y=20 and x=12, we get
[tex]20=k(12)[/tex]
[tex]\dfrac{20}{12}=k[/tex]
[tex]\dfrac{5}{3}=k[/tex]
Putting [tex]k=\dfrac{5}{3}[/tex] in (i), we get
[tex]y=\dfrac{5}{3}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{3}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{3}x[/tex].
what is the answer to 2(3x-5) = 4x+2? Well not the answer but like the steps to solving it
Answer:
x=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3x−5)=4x+2
(2)(3x)+(2)(−5)=4x+2(Distribute)
6x+−10=4x+2
6x−10=4x+2
Step 2: Subtract 4x from both sides.
6x−10−4x=4x+2−4x
2x−10=2
Step 3: Add 10 to both sides.
2x−10+10=2+10
2x=12
Step 4: Divide both sides by 2.
2x=12
x=6
MQN is 17 and arc OP is 104. What is the measure of arc MPO?
Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.
The first two shipping companies provided their data from a sample of drivers in a table.
Company C showed its data in a dot plot.
Answer the questions to compare the mean number of deliveries for the three companies.
1. How many drivers did company C use in its sample?
Write your answer in the space below.
2. What is the MAD for company C's data? Show your work.
Write your answer in the space below.
3. Which company had the greatest mean number of deliveries?
Write your answer in the space below.
4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work.
Write your answer in the space below.
Answer:
Step-by-step explanation:
1. the company C used 10 drivers
2. 6 + 7 + 8 + 9 + 10 + 10 + 10 + 12 + 14 + 14 = 100/10. The Mean = 10
(6- 10) + (7- 10) + (8- 10) + (9- 10) + (10- 10) + (10- 10) + (10- 10) + (12- 10) + (14- 10)
4 + 3 + 2 + 1 + 0 + 0 + 0 + 2 + 4 = 16/10 = 1 6/10
3. The groups that had the most deliveries where group A and B
4. So if there are 6 deliveries of group A and 14 deliveries from group B i think the MAD would be 4
By reading the dot plot,
Number of drivers used by company C in its sample = 10
Mean absolute deviation for company C's data = 2
Company B has the greatest mean number of deliveries.
The mean deliveries of company B is 4 times MAD of company A.
What is dot plot?Dot plot is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
Number of units used in the sample of a dot plot can be calculated by simple counting.
What is mean absolute deviation?The mean absolute deviation (MAD) is the mean distance between each data value and the mean of the data set.
We are given the sum of each point from the mean. It is 20. Mean absolute deviation can be calculated by dividing this sum by number of observations.
Mean absolute deviation of company C = 20/10 = 2.
Mean A = 6
Mean B = 14
Mean B - Mean A = 8 = 4 * 2 = 4 times MAD (since MAD =2 for both companies).
Learn more about dot plot here
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Express the decimal 0.43 as a fraction in its simplest form.
Answer:
Step-by-step explanation:
43/100 or 43%
Please helppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
y = x + 8
Step-by-step explanation:
For 8cm of thread, 1cm of the bracelet may be produced. therefore being y(thread) = x(bracelet) with the addition of 8 (+8). Hope this helps!
Which property is demonstrated by the following equation? 5(3+7)=15+35
a. Distributive Property
b. Associative Property of Addition
c. Commutative Property of Addition
d. Associative Property of Multiplication
will give brainliest find h :)
Answer:
I don't know I'm really really sorry now can you give me a
If a bowling ball is dropped out of an airplane,
what will its speed (velocity) be after 3.4
seconds, assuming no air resistance? (Hint: Use
the equation v = 32t).
Answer: The velocity of the ball is 108.8 ft/s downwards.
Step-by-step explanation:
When the ball is dropped, the only force acting on the ball will be the gravitational force. Then the acceleration of the ball will be the gravitational acceleration, that is something like:
g = 32 ft/s^2
To get the velocity equation we need to integrate over time, to get:
v(t) = (32ft/s^2)*t + v0
where v0 is the initial velocity of the ball. (t = 0s is when the ball is dropped)
Because it is dropped, the initial velocity is equal to zero, then we get:
v(t) = (32ft/s^2)*t
Which is the same equation that we can see in the hint.
Now we want to find the velocity 3.4 seconds after the ball is dropped, then we just replace t by 3.4s, then we get:
v(3.4s) = (32ft/s^2)*3.4s = 108.8 ft/s
The velocity of the ball is 108.8 ft/s downwards.
which point represents the solution to the system
3x-2y=12
2x+2y=3
a. (2,-2/3)
b. (3,-3/2)
c. (3,-2)
d. (2,2)
please explain how you got your answer.
Answer:
b
Step-by-step explanation:
[tex]3x - 2y = 12 \\ 2x + 2y = 3 \\ 2y = 3 - 2x \\ 3x - (3 - 2x) = 12 \\ 3x - 3 + 2x = 12 \\ 5x = 15 \\ x = 3 \\ 2y = 3 - 6 = - 3 \\ y = - \frac{3}{2} [/tex]
(3, -3/2)
Which postulate proves the two triangles
congruent?
Account
SAS
SSS
AAS
ASA
Not congruent
Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
solve for y . help anyone ?
Step-by-step explanation:
[tex] \sin(60) = \frac{y}{10} \\ y = 5 \sqrt{3} [/tex]
How many solutions does the system have?
8x + 2y = 14
8x + 2y = 4
Answer:
0 solutions
Step-by-step explanation:
8x + 2y = 14
8x + 2y = 4
4 not equal to 14
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!!
Answer: The volume is 528 cubic inches
Can i have brainliest?
Answer:
528 Cubic Inches
Step-by-step explanation:
The first thing you would do is, since the equation states that the total height of the bench is 8 inches, is place 4 as the height of the rectangular prism piece of the bench. Next you would use of the dimensions of each of pieces of the bench to calculate the area of each piece respectively using the equation l*w*h. The equations are 4*4*25 which equals 400, 4*4*4 which equals 64, and 4*4*4 which equals 64. Next, you would add them all together which gives you a grand total of 528 cubic inches.
PLZ HELP ITS DUE TODAY
9514 1404 393
Answer:
x = {-0.44, 1.69}
Step-by-step explanation:
Multiply by the denominator to eliminate the fraction.
3 = x(4x -5)
4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form
Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4(4)(-3)}}{2(4)}\\\\x=\dfrac{5\pm\sqrt{73}}{8}\approx \{-0.443, 1.693\}[/tex]
Solutions rounded to hundredths are ...
x = -0.44
x = 1.69
_____
A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form
f(x) = 0
3/(4x -5) -x = 0
Does the number line below represent the solutions to the inequality I > -2?
Step-by-step explanation:
A because the thing on -2 Is that
Hi guys can you answer my math question
Answer:
(a) 7 + 4 = 11
(b) 1 + 3 + 5 = 9
(c) (7 x 2) + 1 = 15
(d) (7 x 2) - 1 = 13
(e) 13 - 9 = 4
Step-by-step explanation:
(a) 5 + 4 = 9
(b) 7 + 1 + 11 = 19
(c) 25 = 12 + 12 + 1
(d) 7 = 4 + 4 - 1
(e) 13 - 11 = 2
Jack had $200 when he got to the festival. He spends $4 per ride. The equation T = 200 – 4R models his amount of money. If he has $100 left how many rides did he go on
Answer:
25
Step-by-step explanation:
Given the equation :
T = 200 - 4R
T = amount of money left ; if T = $100
R = number of rides
$100 = 200 - 4R
$100 - $200 = - 4R
-$100 = - 4R
R = 100/ 4
R = 25
25 rides
mya bought some pizza for $12 each . f p represents the number of pizza she bough , what expression shows the total amount she spent ?
Answer:
Step-by-step explanation:
f(p)=12p
Answer:
12p
Step-by-step explanation:
Since each pizza costs $12 dollars and "p" represents how many pizzas she bought, you multiply 12 by "p" to get the total amount of money that she had spent.
Two of the angles in a triangle measure 53 degrees and 20 degrees. What must be the measure of the third angle
Answer: I would say the angle would have to be around 85* because with 53 being on the bottom left corner and the 20* at the top and 85 at the left it would be close when you connect them
Step-by-step explanation:
factored form for x^2 + 8x + 3
Answer:
x = [-b +- sqrt(b^2-4ac)]/2a
Step-by-step explanation:
The size of a computer class is limited to 15 people. If 3 seats are still available, to what percent of its capacity is the full classical
Step-by-step explanation:
80%full
20% is still available
(427) 32-1
How do I solve this???
Answer: 13,663
Step-by-step explanation:
basically I multiply 427 and32 which u get 13,664 and then u subtract 1 and u get ur answe of 13663
What if you wanted to to heaven but god said
Answer: if god said what?
Step-by-step explanation:
Answer:
god said what? no? if no then I guess your not entering heaven
Please help me answer this question of Fractional Linear Equations. I provided the example of how to do it in case you forgot/don't know how to anymore. I'll give out brainliest. Thank youu
1. Complete the table with the perimeter of a square for each given side length
Side length (inches) perimeter
0.5=?
7=?
20=?
Answer:
Step-by-step explanation:
2,28,80
Answer:
2
28
80
Step-by-step explanation:
What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?
Answer:
29
Step-by-step explanation:
20^2 times 3.14= 1256
21^2 times 3.14= 1384.74
the sum of those two is 2640.74
the square root of that is 29
The radius of the circle is 29 cm.
We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.
We have to find the radius of the circle.
Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?Let the radius of the circle be x.
We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -
[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]
Now, in the question given to us -
r = 20cm and R = 21cm and 'x' denotes the radius of the circle we have to find.
Substituting the values in the above formula, we get -
x = [tex]\sqrt{400+441}[/tex]
x =29 cm
Hence, the radius of the circle is 29 cm.
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a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the number ?
Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 miles? Assume the relationship is directly proportional.
Answer:
just add them up
Step-by-step explanation:
at a concert 20% of the people were there to see the opening act the rest were there to see The Beatles. There were 4,820 there to see The Beatles what was the total number of people that attended the concert
Answer:
5784
Step-by-step explanation:
Because 20 percent of 4820 is 964 and then you add 4820 and 964 to get 5784 :)