pls help me
1. If y = 24 when x = 2, find y when x is 9.
2. If y = 18 when x = 25, find y when x is 30.
3. If y = 10 when x = 1, find y when x is 20.
4. If y = 10 when x = 21, find x when y is 35
9514 1404 393
Answer:
direct: 108; inverse: 16/3direct: 108/5; inverse: 15direct: 200; inverse: 1/2direct: 147/2; inverse: 6Step-by-step explanation:
We cannot tell what kind of proportionality to assume here.
If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.
If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.
__
1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.
Inverse: y = 2/9(24) = 16/3
__
2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.
Inverse: y = 25/30(18) = 15.
__
3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.
Inverse: y = 1/20(10) = 1/2.
__
4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.
Inverse: x = 10/35(21) = 6.
Point P( 1, –1) is rotated 180°, then translated
( − 1, − 2).What is P′′?
Answer:
P" = (-2, -1)
Step-by-step explanation:
When a point P(x, y) is rotated 180° clockwise or anticlockwise the coordinates of the new point P'(x', y') become (-x, -y). The rotated point has coordinates which are negative of the original coordinates
When a point is translated (a, b) then new coordinates become (x + a,, y + b)
Here point P is (1, -1)
Rotation by 180° ⇒ rotated point P'(-1, 1)
If we translate P' by (-1, -2) translated point
P" has coordinates x" = -1 -1 = -2 and y" = 1 -2 = -1
So coordinates of P" are (-2, -1)
All of the following are requirements to serve in the Senate EXCEPT:
A.
A candidate must be at least 30 years old.
B.
A candidate must be a resident of the state he/she wishes to represent.
C.
A candidate must be born in the United States.
D.
A candidate must be a citizen of the United States.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Senators don't need to be born in the United States. They only need nine years of U.S. citizenship to qualify for office.
Answer:
its c cause its cool
Step-by-step explanation:
Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She bought a total of 17 bags and boxes and paid a total kf $192. How manh bags of balloons did sheila buy?
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
6 + 8(x - 1) = 2(3x + 4)
6 + 8x - 8 = 6x + 8
8x - 2 = 6x + 8
14x - 2 = 8
14x = 10
5
x=7
The mistake was.....
The correct answer is x=?
Step-by-step explanation:
6+ 8x-8 = 6x +8
-2+8x= 6x+8
-6x+8x=2+8
2x=10/2
x=5
The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive
I hope I helped
100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
.
Answer:
43%
Step-by-step explanation:
There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.
No. of girls who prefer biology = 21
There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.
No. of boys who prefer biology = 100-39-16-34+11
= 22
Percentage of students who prefer biology = [tex]\frac{21+22}{100}[/tex] × 100%
= [tex]\frac{43}{100}[/tex] × 100%
= 43%
please help will give brainlest
Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10
Hope this helps :)
Will mark brainliest for whoever answers
Answer:
The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases
Step-by-step explanation:
Help! I’m awful at graphs and stuff
Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
Write the function whose graph is the graph of y=x, but is translated 5 units to the left.
Answer:
vsgysshsbsjjsdjususushdggdhwhs
What are the coordinates for a dilated triangle, A'B'C', if
the scale factor for the dilation is 0.75?
Answer:
3
Step-by-step explanation:
Answer: Answer is D
Step-by-step explanation:
I just did the question
Which of the following is a factor of 32x + 4? (1 point)
O 2x -1
O 4x-4x + 1
O 4x²- 2x + 1
O Nonc of thc abovc
Answer:
2x-1
Step-by-step explanation:
hope you get help from me
Find d²y/dx² in terms of x and y.
y^5 = x^7
d²y/dx² =????
Answer: [tex]\frac{14y}{25x^2}[/tex]
====================================================
Work Shown:
First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.
Don't forget about the chain rule.
[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]
Go back to line 3, shown above, and apply the derivative to both sides.
You'll be using the product rule.
[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:
[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]
[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]
Which function of x has the least value for the y-intercept?
A
y=-4x+ 15
Х
B
Х
4
3
2
1
-4-3-2-1
-1
-3
-
С
y=2x-3
D
x
Answer:a
Step-by-step explanation:
PLEASE HELP MEEEEE!!!!!
Answer:
I think it might be d
Step-by-step explanation:
Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0
log4100≈0.30
log4100≈3.3 l
log4100≈6.4
By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
How to estimate the value of a logarithm by base change property for logarithms
In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:
㏒₄ 100, ㏑ 4, ㏑ 100 Given
㏑ 100 / ㏑ 4 Base change property of logarithms
4.6 / 1.4 Substitution of each logarithm (Step 1)
23 / 7 Amplification of fraction / Definition of multiplication
3.286 Definition of division / Result
The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
To learn more on logarithms: https://brainly.com/question/27389970
#SPJ1
30% of all Skittles are supposed to be purple.
a) If there are 84 skittles in a pack, how many should be purple? (Response area)
b) What percentage or skittles are not purple? (Response area)
c). Assuming that there are 18 purple Skittles in a pack, then how many total Skittles are there? (response area)
Answer:
a) 25
b) 59
c) Too lazy
Step-by-step explanation:
If 30% were to be a decimal, it would be 0.3 because 30% of 1 is 0.3. We will use this to figure out how many purple skittles there are.
A) To find the amount of purple skittles we must multiply the total number of skittles by the percent (in this case 0.3). Equation = (84*0.3=25.2) You can't really have 0.2 of a skittle so we would round down to the whole number (25).
B) Knowing the number of purple skittles, finding the number of non-purple skittles is straightforward. All you have to do is subtract the # of purple skittles from the total amount of skittles (84-25=59).
C) Kinda forgot how to do this but good luck
8th grade math plz help
Answer: D I think?
Step-by-step explanation:
Describe and correct the error in using the diagram to find the value of x.
Hi there!
The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.
The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°
Below is the corrected solving.
[tex]13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360[/tex]
(reason: angles at a point = 360°)
Collect like terms, and make x the subject of formula.
[tex]⟹50x + 10 = 360[/tex]
[tex]⟹50x = 360 - 10[/tex]
[tex]⟹50x = 350[/tex]
Now, divide both sides by 50 to find the value of x.
[tex] \frac{50x}{50} = \frac{350}{50} [/tex]
Therefore:
[tex]x = 7[/tex]
MAKING AN ARGUMENT In an aerial ski competition, you perform two acrobatic ski jumps. The scores on the two jumps are then added together.
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In this exercise, you're required to describe the score which this ski jumper must earn on the second jump to beat his or her competitor. Therefore, let x represent the score of his or her second acrobatic ski jump.
Based on the competitor's score of 119.8 in the second jump, this ski jumper must earn the following score represented by this inequality:
x > 119.8
Who is correct?From the table (see attachment), we can logically deduce that the competitor's score in the first ski jump is equal to 117.1. This ultimately implies that, the ski jumper's score can be modeled by this inequality:
x > 117.1
In this context, we can reasonably infer and logically deduce that both the coach and the teammate are correct because a score of "118.4" and "117.5" are greater than a score of "117.1."
Read more on inequality here: brainly.com/question/6666926
#SPJ1
Complete Question:
MAKING AN ARGUMENT
In an aerial ski competition, you perform two acrobatic ski jumps. The scores on the two jumps are then added together.
a. Describe the score that you must earn on your second jump to beat your competitor.
b. Your coach says that you will beat your competitor if you score 118.4 points. A teammate says that you only need 117.5 points. Who is correct? Explain.
A cyclist travels 21 miles in 45 minutes.
What is his average speed in mph?
Answer:
28 mph
Step-by-step explanation:
1h = 60m
45m --- 21 miles
60m --- [tex]\frac{60}{45}[/tex] × 21 miles = 28 miles
Thus, his average speed is 28 mph.
A tile backsplash is being installed. The installation fee is $150.00. The title is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash
A. c = 150f + 2.75
B. c = 2.75 - 150f
C. c = 2.75 + 150
D. c = 152.75f
Answer:
c = 2.75f + 150Step-by-step explanation:
The installation fee is one off payment and tiles price depends on the area, so the total price for f square foot tile is:
c = 2.75f + 150It seems to be the option C but there is a typo (missing f)
Answer:
c = 2.75f + 150Given:
Installation fee is $150.00The title is priced at 2.75 square footOption C represents the answer.
Answer - c = 2.75f + 150
20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall ar boys?
Answer:36
im pretty sure when I looked it up it said
Answer:
hahahha
Step-by-step explanation:
pls help i need the answer
Answer:
(3,22.50)
(6, 33)
Rise/Run using two points
33-22.50/ 6-3
10.5/3
Rate = 3.5
Find the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13
The coordinates of the midpoint are 22,-4.
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.
The midpoint will be calculated as:-
M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,
M = ( 16 + 28 ) / 2 , ( 5 - 13 ) / 2 ,
M = ( 44 ) / 2 , ( -8 ) / 2 ,
M = 22 , -4
Therefore, the coordinates of the midpoint are 22,-4.
To know more about midpoint follow
https://brainly.com/question/18315903
#SPJ4
l have x #50 note and y#100 note.There are eight note altogether and their total value is#550. how many of each note do i have
Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100
As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]
This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.
As we have total 8 notes, therefore,
[tex]x+y=8[/tex]
And their total value is 550, therefore,
[tex]x*50+y*100=550[/tex]
From 1st equation we get, [tex]y=8-x[/tex]
substituting this in another equation, we get
[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]
Solving for y, we get
[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]
Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]
Linear Equations: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable. Here we are solving for two variables hence the two equations are to be formed.To learn more about such questions, click on the link given below:
https://brainly.com/question/19974028
#SPJ9
Polly buys 4.4 yards of fabric for $16.50. What is the cost per yard?
Answer:
1 yard is $3.75
Step-by-step explanation:
4.4 to get 1 divide by 4.4
so divide 16.50 by 4.4 to get $3.75
Answer:
1 yard is $3.75
Step-by-step explanation:
$16.50 ÷ 4.4 yards = $3.75
I hope this helps you and your assignment!
Can someone help me please
Answer:i would say the answer is A
Step-by-step explanation:its my personal opinion i hope it helps
I answered it but i dont see the right answer tell what you think
Answer:
The answer you selected, E, A, D, C, B, is correct
Step-by-step explanation:
So, to solve this, you would first need to put all of the given numbers into the same form, and in this example, I will put them all in decimal form.
Once put in decimal form, here is the value of each letter:
A: 4.35B: 4.89C: 4.60D: 4.50E: 4.20You can now put the numbers in least to greatest order, which will get you the answer E, A, D, C, B.
Hope I helped!!! :)
The question is on the picture
Answer: slope is 5/4 and y intercept is -7
Y=mx(slope)+b(y-intercept)