Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For an inverse relationship, the function is:
[tex]y = \frac{k}{x}[/tex].
Then:
k = xy.
Which means that to find k, you take a point (x,y), and multiply the values of x and y.
More can be learned about proportional relationships at https://brainly.com/question/10424180
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Two cars are 50 miles apart and driving towards each other. One car is driving at a speed of 30 miles per hour and the other car is driving at a speed of 45 miles per hour. How long does it take for the cars to pass each other
Answer:
40 minutes
Step-by-step explanation:
30x+45x=50
75x=50
x=.6667 hours or 40 minutes
check:
30 mph for 40 minutes=20 miles
45 mph for 40 minutes=30 miles
total=50 miles
Un jardinier a récolté deux quintaux trois quarts de pommes . Il vend un quintal un quart à un voisin ; il vend aussi 7/10 de quintal sur le marché du village et 2/5 de quintal à un pâtissier .Exprimer à l'aide d'une fraction la quantité de pomme que le jardinier a gardé pour lui .
Answer:
Step-by-step explanation:
Notez que: un quintal =
une unité de poids égale à 100 kg
Un jardinier a récolté deux quintaux et trois quarts de pommes.
Le nombre total de pommes récoltées = 200 kg + 3/4 du quintal de pommes
= 200 kg + 0,381 kg
= 200,381 kg
Il vend un quintal un quart à un voisin
Le montant qu'il a vendu à un voisin = 100 + 1/4 quintal de pommes
100 + 0,127
= 100,127 kg
Il vend également 7/10 d'un quintal sur le marché du village
= 7/10 × 100 kg
= 70 kg de pommes restantes
2/5 d'un quintal à un pâtissier.
2/5 × 100 kg
= 40 kg de pommes restantes
À l'aide d'une fraction, exprimez la quantité de pomme que le jardinier a gardée pour lui.
La quantité que le jardinier lui a réservée =
200 3/4 kg - (100 1/4 kg + 70 kg + 40 kg)
200,381 kg - (210,127 kg)
5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)
Answer:
8 m.
Step-by-step explanation:
Use the Pythagoras theorem
17^2 = 15^2 + AC^2
AC^2 = (17-15)(17+15) = 2 * 32
AC^2 = 64
AC = 8 m.
5x = 4x + 7 .....................................
Answer:
x=7
Step-by-step explanation:
do the math lol
Find the least common denominator for these fractions. Enter your answer in
the space provided.
1/2 and 3/5
Answer:
10
Step-by-step explanation:
2*5=10
Step-by-step explanation:
step 1. LCD of 1/2 and 3/5 is 10.
Simplify The Following: -4h + 22 + 6h -7
Answer:
2h + 15
Step-by-step explanation:
-4h + 22 + 6h -7
2h + 22 - 7
2h + 15
Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls
Answer:
3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30
Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x^3 + 2.
include the average rate of change in your answer.
Step-by-step explanation:
step 1. we will denote the average rate of change as r.
step 2. r = (f(5) - f(3))/(5 - 3)
step 3. r = (375 - 81)/2
step 4. r = 294/2
step 5. r = 147.
step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)
The following list has a median of 43. What would be the new median if 21 was added to the list?
31, 48, 50, 23, 28, 52, 57, 38, 56, 27
Answer:
34.5
Step-by-step explanation:
21,23,27,28, 31, 38, 48, 50, 52, 57
31+38=69
69/2=34.5
help me out. good points the image shows
Answer:
Solution given;
3-(7-3x)=2x+2
3-7+3x=2x+2
3x-2x=2+4
x=6 is your answer.
Find (-4) x -(-5)
What is the answer to this?
Answer:
-20
Step-by-step explanation:
PLEASEEEE I BEG YOU PLZZZ SOMEBODY GIVE ME THE RIGHT ANWSERSS TO THESEEE AND I DONT WNAT ANY WRONG ONES ARE REPORT JUST HELPP CUSE LAST WEEK EVERYBODY GOT IT WRONG!!!!!
Answer:
Step-by-step explanation:
Question 1: C
1 multiplied by 5 = 5
1 plus 5 = 6
So you get: (x+5)(x+1) which means x = -5 or -1
Question 2: B
2 multiplied by -4 = - 8
2 plus -4 = -2
So you get: (x-4)(x+2) which means x = 4 or -2
Ryan works for a cell phone company. He earns $2,000 per month. He also receives $15 for each cell phone that he sells. Ryan's paycheck last month was $2,180. How many cell phones did Ryan sell last month?
Answer:
12 phones
Step-by-step explanation:
15 x 12 = 180 add 180 to his 2000 and bam 2,180
help please!!!!!!!!!!!!!!!!!! Examine the diagram.
2 lines intersect a horizontal line to form 3 angles. The angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.
Answer:
a
Step-by-step explanation:
Answer:
the answer is a
:) :) :)
Step-by-step explanation:
pls help. i really need help on this!!
(pls dont waste my time or just take away points for fun. Whoever gets the correct answer will be marked brainliest. I need explanation how to do it)(i would apresiate your help)
a, b, c, d, h, and i.
Answer:
a.) $10.50
b.) $45.00
c.) about 66.67%
Step-by-step explanation:
a.) regular price = 15.00
discount = 30% or 0.3
15 x 0.3 = 4.50 ----------> this is the amount that you will have off
15.00 - 4.50 ---------> by subtracting from original price, you have sale price
= $10.50
b.) bought price = 25.00
marked up = 80% or 0.8
25.00 x 0.8 = 20 -------> this will give you 80% of 25
25.00 + 20.00 ------> she sells for 80% higher, so add the numbers
= $45.00
c.) original price = 36.00
bought price = 36.00 - 12.00
= 24
24 / 36 -----> divide bought price by original to find what percentage it is
= .66666 which is rewritten as 66.667%
you can check this by multiplying that percentage by the original price
hopefully this helps a little bit
Find the area of the shape.
Answer:
Exact Area = 3pi square units
Approximate Area = 9.42 square units
I used pi = 3.14 to get the approximation.
=================================================
Explanation:
This is a three quarter circle since one quarter of it has been taken away.
Let's find the area of the full circle
A = pi*r^2
A = pi*2^2
A = 4pi
Now let's divide by 4 to find the area of just a quarter slice
(4pi)/4 = pi
One quarter slice is pi square units. Since we want three of these quarter slices, this means 3pi is the exact area of the shape shown.
This approximates to 3*pi = 3*3.14 = 9.42
Zach is a high school student who has an after school job at a grocery store. How much will he earn if he earns 75$ a week for 5 weeks?
how to find principal without interest
Answer:
Step-by-step explanation:
What Is a Principal Amount?
Principal amount on a loan is the amount borrowed. To better understand, let's look at the story of John. When John bought his first car he didn't have enough money to pay for it in cash, so he had to take out a loan. He borrowed $7,500. According to the terms of the loan, John had to pay it off in five years with an interest rate of 10%. The initial amount that he borrowed, or the $7,500, is called the principal amount of the loan. Keep in mind that the principal amount applies to more than just loans. It can also apply to money that is invested or deposited into an account. For example, if you open a savings account with a $700 deposit, the principal amount is $700.
What About Interest?
Principal amount does not include interest, or a rate paid as a fee for borrowing money. To figure out the amount of interest John paid during the five years, you can use the simple interest formula, which is a formula to calculate interest paid only on the principal amount. This formula is:
or interest equals principal amount times interest rate times amount of time. Using this formula, you will find that the amount of interest on John's $7,500 loan was $3,750. So, at the end of five years, he would end up paying a total of $11,250. This does not include any additional fees that may apply.
Principal Amount Formulas
For John's loan, we were given the principal amount and used it to find the amount of interest. What if we already know the interest rate, amount of interest, and amount of time, but we need to find out the principal amount? We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.
Let's try this out by finding the principal amount of a loan that has a total interest amount of $18,500 and an annual interest rate of 6.5% over 12 years.
To solve, we input the values into the equation, P = I / (RT). This gives us:
P = $18,500 / (0.065 * 12) = $23,718
The principal amount of the loan is $23,718.
(hope this helps can i plz have brainlist :D hehe)
If someone can help that would be great
Answer:
x = 16
Step-by-step explanation:
For the triangle to be isosceles then AB = CB , that is
5x - 9 = 4x + 7 ( subtract 4x from both sides )
x - 9 = 7 ( add 9 to both sides )
x = 16
What is the board feet of lumber if it has a 2-inch thickness, 3-inch width and length is 7ft?
A. 1
B. 3.5
C.5
D. 7.5
Answer:
B. 3.5
Step-by-step explanation:
2inch×3inch×7ft=board ft
2×3=6inch
7ft=84
6×84=504
504inch³=3.5board ft
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Find the slope of -1:9 0:5 1:1,
-4/1
-1/4
1/4
4/1
Answer:
1/4
Step-by-step explanation:
A P E X
Answer: I’m a goofy goober yeah your a goofy goober yeah
Step-by-step explanation:
Find the measure of Angles A, C, D
Answer:
A= 65 C= 65 and D= 115
Step-by-step explanation:
given a parallelogram .
interior angles sum is 360 degree.
sum of adjacent angles is 180degree.
opposite angles are congruent (B=D).
A + B + C + D = 360
(A + D) + C + 115 = 360 since A and D are adjacent angles .
180 + 115 + C = 360
295 + C = 360
C = 360 - 295
C = 65
D = 115
A = 65
a+b+c+d=360
65 + 65 + 115 + 115 = 360
130 + 230 = 360
360 = 360
Carla has 10 fewer books than Dominic.
Create an expression to represent the number of books that Carla has, where
x is the number of books Dominic has. Please help me
Answer:
x-10
Step-by-step explanation:
If Dominic has X, and carla has 10 fewer. Then Carla would have X-10
Hence equation is x-10
What is word problems?
When students are given with statements , on the basis of which equations are formed are said to be word problems
How to solve?
Given number of books with Dominic=x
Carla has 10 fewer books than Dominic =x-10
Hence equation is x-10
Learn more about word problems
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i need help what is 5/6 divided by 3? any good answers ??
Answer: 5/18
Step-by-step explanation:
Answer:
1 remainder 2 or 1 2/3
Step-by-step explanation:
this is the answer
Which system of linear equations has a solution of
(1, -1)?
options:
Y1 and y2
Y1 and Y3
y2 and y3
y2 and y4
Answer:
the answer us y2 and y4
Step-by-step explanation:
line y2 cross line y4 at (1,-1)
Answer:
D. y2 and y4
Step-by-step explanation:
did it on edge
y=-4x+6
3x + 4y = -2
Is (2, 2) a solution of the system?
Choose 1 answer:
- Yes
- No
Answer:
No because the first one will get an answer of -2 while the second one will get an answer of 14
Step-by-step explanation:
Hope This Helped
Answer:
no
Step-by-step explanation:
To solve this we can plug in 2 for x and 2 for y and see if the equations are true
we have
2= -4(2)+6
2= -8+6
2= -2
this is false, the answer is no
Which relation is a function?
{(8, –4), (–4, 8), (–4, –8), (–8, 4)}
{(5, –7), (4, 6), (–3, 8), (5, 9)}
{(9, –1), (–1, 9), (9, 2), (2, –1)}
{(2, 3), (–2, 3), (3, 2), (–3, –2)}
Step-by-step explanation:
the last one.
because no x values repeat.
Aunt Martina is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Sparrowtown Bakery charges $2 for each cupcake, plus $50 for the large cake. Dakota's Sweet Shoppe charges $44 for the large cake and $4 for each cupcake. If Aunt Martina orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?
Answer:
3 cupcakes
Total of $56
Step-by-step explanation:
First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.
2x + 50
4x + 44
Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.
2x + 50 = 4x + 44 ... subtract 2x on both sides
50 = 2x + 44 ... subtract 44 on both sides
6 = 2x ... divide both sides by 2
3 = x
Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of
2(3) + 50
6 + 50
$56
The volume of a rectangular prism is 72 cubic units.If the length of the prism is 6 units what could the width and height be
Answer:
3 units and 4 units
Step-by-step explanation:
Given data
Volume of prism = 72 cubic units
Length of prism= 6 units
Width =????
The expression for the volume is
V= L*W*H
Also,
Volume = Area*L
72= Area*6
Area= 72/6
Area= 12 square units
Hence the possible width and Height is
3 units and 4 units
Because 4*3= 12 square units
Check
volume= 6*3*4= 72 cubic units
A ladder is leaning against a building. The distance from the bottom of the
ladder to the building is 20 ft shorter than the length of the ladder. How high
up the side of the building is the top of the ladder if that distance is 10 ft less
than the length of the ladder?