Solve the following equation for f. Be sure to take into account whether a letter is capitalized or not.
N2=6f+H
Answer:
f = (N² - H)/6
Step-by-step explanation:
Step 1: Write equation
N² = 6f + H
Step 2: Solve for f
Subtract H on both sides: N² - H = 6fDivide both sides by 6: (N² - H)/6 = fRewrite: f = (N² - H)/6If a store marks up the price of an item by 45% and sells it to customers for $58, what was the original price the store paid for the item?
Given that y is a function of x, which of the following tables best represents a function?
Answer:
BBBBBBBB
Step-by-step explanation:
brainliest?
Please help I have less than 20 minutes!!
Alia and Huda share some sweets in the ratio 7:3. Alia gives 3 sweets to Huda and
now the ratio is 5:3. How many sweets did each have initially?
Answer:
Alia=28
Huda=12
Step-by-step explanation:
Let the constant of proportionality be x
Hence, no. of sweets Alia had initially = 7x
No. of sweets Huda had initially = 3x
No. of sweets Alia has now= 7x-3
No. of sweets Huda has now= 3x+3
We know that, the ratio of the no. of sweets Alia has now to no. of sweets Huda has now = 5:3
Hence,
[tex](7x-3) : (3x+3)=5:3\\By\ equalizing\ the\ ratios,\ we\ get,\\ 3(7x-3)=5(3x+3)\\21x-9=15x+15\\21x-15x=15+9\\6x=24\\x=4[/tex]
As we now got the constant of proportionality to be 4,
No. of sweets Alia had initially = 7*4=28
No. of sweets Huda had initially= 3*4=12
Given parameters:
Original ratio number of sweets of Alia to Huda = 7:3
Final ratio = 5:3
Alia gives 3 sweets
Huda receives 3 sweets
To solve this problem, we have to derive an algebraic equation.
Let us assume that the total number of sweets = x
So;
The ratio originally is;
7x : 3x
Alia has 7x sweets
Huda has 3x
Now Alia has (7x -3)sweets after giving out 3
Huda has (3x + 3)sweets after receiving 3
So;
7x -3 : 3x + 3 = 5 : 3
[tex]\frac{7x - 3}{3x + 3} = \frac{5}{3}[/tex]
3(7x -3) = 5(3x + 3)
21x - 9 = 15x + 15
21x -15x = 15 + 9
6x = 24
x = 4
Initially, Alia has 7x sweets = 7 x 4 = 28 sweets
Huda has 3x sweets = 3 x 4 = 12 sweets
Therefore, Alia has 28 sweets and Huda 12 sweets initially.
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction
The expression that finds the change in temperature per hour for this considered case is given by: Option D: [tex]\dfrac{-47/4}{7/2}[/tex]
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For this case, we're specified that:
Initial temperature = 0 degrees.Final temperature = [tex]-12 \dfrac{1}{4}[/tex] degrees.Time taken for this change = [tex]3\dfrac{1}{2}[/tex] hoursExpressing final temperature in simple form:
[tex]-12\dfrac{1}{4} = -12 + \dfrac{1}{4} = \dfrac{-12 \times 4}{4} + \dfrac{1}{4} = \dfrac{-47}{4}[/tex]
Expressing time taken for the considered temperature change in simple forms:
[tex]3\dfrac{1}{2} = 3 + \dfrac{1}{2} = \dfrac{3 \times 2}{2} + \dfrac{1}{2} = \dfrac{7}{2}[/tex]
The temperature depends on time.
Suppose that:
x = time, y = temperature
Then, suppose that:
[tex]x_1[/tex] = Time when temperature was [tex]y_1 = 0[/tex] degrees.[tex]x_2[/tex] = Time when temperature was [tex]y_2 = -\dfrac{47}{4}[/tex] degrees.Then, the rate of change of temperature would be:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
The change in time is: [tex]x_2 - x_1 =\dfrac{7}{2}[/tex] (in hours).
Thus, we get:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-47/4 - 0}{7/2} = \dfrac{-47/4}{7/2}[/tex]
Thus, the expression that finds the change in temperature per hour for this considered case is given by: Option D: [tex]\dfrac{-47/4}{7/2}[/tex]
Learn more about rate of change here:
https://brainly.com/question/19167959
#SPJ2
Answer:
option D!
Step-by-step explanation:
9. Find m<1.
1
32°
120°
80
88
60
73
Answer:
23*
Step-by-step explanation:
Answer:
not sure why homie said 23 lol but its D. 88
Step-by-step explanation:
Suppose thatb if a person travels the Europe for the first time, the probability that he will visit London is 0.70; Paris is 0.64; Rome is 0.58; Amsterdam is 0.58; London and Paris is 0.45; London and Rome is 0.42; London and Amsterdam is 0.41; Paris and Rome is 0.35; Paris and Amsterdam is 0.39; Rome and Amsterdam is 0.32; London, Paris and Rome is 0.23; London, Paris and Amsterdam is 0.26; London, Rome and Amsterdam is 0.21; Paris, Rome and Amsterdam is 0.20, and all 4 cities is 0.12. What is the probability that he will see at least one of these four cities?
Answer:
The probability that he will visit at least one of the four cities is 0.88
Step-by-step explanation:
The given information can be presented as follows;
The probability that he will visit London = 0.70 = A
The probability that he will visit Paris = 0.64 = B
The probability that he will visit Rome = 0.58 = C
The probability that he will visit Amsterdam = 0.58 = D
The probability that he will visit;
London and Paris = 0.45 = A∩B
London and Rome = 0.42 = A∩C
London and Amsterdam = 0.41 = A∩D
Paris and Rome = 0.35 = B∩C
Paris and Amsterdam = 0.26 = B∩D
London, Paris and Rome = 0.23 = A∩B∩C
London, Paris, and Amsterdam = 0.26 = A∩B∩D
London, Rome and Amsterdam = 0.21 = A∩C∩D
Paris, Rome and Amsterdam = 0.20 = B∩C∩D
All 4 cities = 0.12 = A∩B∩B∩D
Therefore, the probability, P(at least one), that he will visit at least one of the four cities is the complement of the probability that he will visit all the four cities
∴ P(at least one) = (A∩B∩B∩D)' = 1 - (A∩B∩B∩D) = 1 - 0.12 = 0.88
P(at least one) = 0.88
Which gives, the probability that he will visit at least one of the four cities = 0.88.
geometry quick question help
Answer:
Angle 1: 127
Angle 2: 153
Step-by-step explanation:
First, let's find angle 1 by finding the angle that's supplementary to it.
To solve for it, we can set up an equation where the unknown angle and the other angles in the triangle it's in add up to 180:
x+95+32=180
x=53
Since angle 1 is supplementary to 53, that means that angle 1 is equal to 180-53 = 127.
Then, to find angle 2, we can find the angle that's supplementary to it.
To solve for that, we can set up an equation where that unknown angle and the other angles in the triangle it's in add up to 180:
26+127+x = 180
x = 27
Since angle 2 is supplementary to 27, that means that angle 2 is equal to 180-27 = 153.
2. The speed limit on a city street is 35 kilometers per hour. Write and graph an inequality to
describe a car’s possible speed.
Answer:
[tex]x\leq 35[/tex] where [tex]x[/tex] denotes speed of the car
Step-by-step explanation:
Given: The speed limit on a city street is 35 kilometers per hour.
To write and graph: an inequality to describe a car’s possible speed.
Solution:
Let the speed of a car be [tex]x[/tex] kilometers per hour.
As the speed limit on a city street is 35 kilometers per hour,
[tex]x\leq 35[/tex]
First draw the graph of [tex]x=35[/tex] (see figure a.)
Plot the points [tex](35,0),(35,5),(35,10),(34,15)[/tex]
Take a point on the left side of line x = 35 say [tex](x,y)=(0,0)[/tex] and put it in [tex]x\leq 35[/tex]
[tex]0\leq 35[/tex] which is true.
So, shade the graph on the left side of line x = 35
See the graph b.
the pink part represents the inequality [tex]x\leq 35[/tex]
A kitchen floor is in the shape of a square.
The area of the floor is 529 ft. What is the
length of a side of the kitchen floor?
Answer:
132.25
Step-by-step explanation:
Find the quotient.
67(-1/2)
please help!!!!
Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. The pretzel requires 2.5 cups of flour to make. How much flour is in each loaf of raisin bread? Explain the steps to follow to get the answer
Answer:
Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.
Step-by-step explanation:
Answer:
Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.
Step-by-step explanation:
On a scale drawing of Caleb's house, the four bedroom walls each measure 10 inches wide by 6 inches tall. The scale of the drawing is 1 inch = 1.5 feet. Caleb will paint all four walls. If a gallon of paint covers 250 square feet, how many gallons of paint will Caleb need?
Answer:
Approximately 2 gallons of paint are required to paint four bedroom walls
Step-by-step explanation:
Dimensions of the four bedroom walls = 10 inches wide by 6 inches tall
As 1 inch = 1.5 feet,
10 inches [tex]=10(1.5)=15[/tex] feets
6 inches [tex]=6(1.5)=9[/tex] feets
Dimensions of the four bedroom walls = 15 feets wide by 9 feets tall
Area of one wall = product of the dimensions [tex]=15(9)=135[/tex] square feets
Area of four walls = [tex]4(135)=540[/tex] square feets
Area of four walls covered by a gallon of paint = 250 square feets
So,
Amount of paint required = [tex]\frac{540}{250}=2.16[/tex]
That is approximately 2 gallons of paint are required to paint four bedroom walls
ILL GUVE BRAINLIEST IF ITS CORRECT
Answer:
Sorry I don't know :'(
Step-by-step explanation:
I'm in 6th grade too
Anyone know the answer to question b
Answer:ITS 465
Step-by-step explanation:
4 + 6 + 5 = 15
AND THE DIFFERENCE IS 2 BETWEEN 6 AND 4
in ten years, the population increases from 20,000 to 23,000. Find the actual increase and the percentage increase.
Answer:
3,000 is the numerical increase and 15% is the percentage increase.
Step-by-step explanation:
It's quite easy to see that 3,000 more people were added to 20,000, since 23,000 - 20,000 = 3,000. To find the percentage, simply take 20,000 and divide it by the additional increase number, which is in this case 3,000. 20,000/3,000 = 0.15. Converting decimals to percentages, we take the digits behind the decimal and add the percent sign since 100 is equal to 1 or the whole. So 0.15 = 15%, which is the percent increase.
Answer:
actual amount of increase is 3000
% increase is 15%
Step-by-step explanation:
The actual amount of increase is
23,000-20,000= 3,000
To find the percent increase, take the actual amount of increase and divide by the original amount
3,000/20000=.15
Change to percent
15%
If 35 liters of milk cost $28.00, what is the price per liter?
A tennis racket and a tennis
ball cost $2.10. The tennis
racket costs two dollars more
than the tennis ball.
How much does the
tennis ball cost?
Type Answer
SUBMIT
HELP QUICK
Answer:
Step-by-step explanation:
You want to start by subtracting 2.10 - 2 which = $0.10
The cost of the tennis ball is $0.05.
Let the cost of tennis racket be R.Let the cost of tennis ball be B.To find the cost of the tennis ball:
Translating the word problem into an algebraic expression, we have;
[tex]R + B = 2.10[/tex] ....equation 1
[tex]R = B + 2[/tex] .....equation 2
Substituting eqn 2 into eqn 1, we have;
[tex]B + 2 + B = 2.10\\\\2B + 2 = 2.10\\\\2B = 2.10 - 2\\\\2B = 0.10\\\\B = \frac{0.10}{2}[/tex]
Tennis ball, B = $0.05
Therefore, the tennis ball cost $0.05.
Find more information: https://brainly.com/question/596290
19 (a) Solve 3(x - 4) = 12
Answer:
.3( x -4) = 123x - 12 = 123x = (12+12)3x = 243x/3 = 24/3x = 812
b) If two angles forming a linear pair are in the ratio 2:4 , find the measure of the smallest
angle.
25 points!
Answer:
6 0°
Step-by-step explanation:
sum the parts of the ratio, 2 + 4 = 6 parts
A linear pair of angles sum to 180°
Divide by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio, thus
2 parts = 2 × 30° = 60° ← smallest angle
If the distance from Haley's house to school is 2.5 cm on the map and the actual distance is 3 miles. What is the scale for the map?
I know the answer but I get confused on what I am comparing. Could you explain step by step.
Answer:
Step-by-step explanation:
so you are trying to find the scale of the map which means you are comparing the distance on the map to the distance in real life. That being said you are trying to find:
For every 1cm on the map how far is that in real life?
so when you make your equation to solve like so (converting the miles to cm for an easy calculation:
2.5x = 48203
in this equation x (your answer) is the scale of map:real life
so x is how far 1cm on the map is in real life
guys this is a test grade please help and show how you got it
Answer:
The answer is 21
Step-by-step explanation:
Let your number be x so the equation would be
x-8=34-x
2x=42 divide by 2
x=21
brainllist plz
14. A=lwh , solve for w
The sum of the first two terms s2=34 the sum of the 3 terms 63
Answer:
sorry no answear
Step-by-step explanation:
penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. She can spend at most $35. How many rides can she ride? Write an inequality to represent this situation.
Answer:
okay so first subtract 20 from 35. you get 15 then you wanna divide 15 by 0.50 you should get 30 Penelope will be able ride 30 rides.
When multiplying positive and negative fractions, you have to find a common denominator. true or false for 25 points and brainliest
Answer:
True!!!!!!!
Step-by-step explanation:
One side of a rectangle has length 4. Another side has length 6+7. What expression represents the area of the rectangle? 4×6+4×7 4×6 4×7 4×6×7.
A. 4×6×7
B. 4×6
C. 4×6+4×7
D. 4×7
Answer:
C
Step-by-step explanation:
So area is length times width for the rectangle and your length is 4 and your width is 6+7, if you do 4 times 6+7 you will get 52. If you want to be sure you can go down the answer options and do them until you find one that equals 52 which in this case is C.
4 x (6+7) = area
(in case you need the equation)
D. (3,0)
Pleasei suck in math need help
Mark brainliest
Answer:
B. (0,2)
Step-by-step explanation:
The y-intercept is the point that passes through the y-axis. The y-intercept is when the x-value equals 0.
And that is at (0,2)
Remember that a point always has the x first then the y-value (x,y)
x = (4 - 3x)/k
solve for x
Answer:
x = 4/( k+3)
Step-by-step explanation:
x = (4 - 3x)/k
Multiply each side by k
xk = (4 - 3x)/k*k
xk = (4 - 3x)
Add 3x to each side
xk+3x = 4
Factor out x
x ( k+3) =4
Divide each side by (k+3)
x ( k+3) / ( k+3) =4/( k+3)
x = 4/( k+3)