Answer:
160
Step-by-step explanation:
x = original price
x+ 25% x = 200
Change to decimal form
x + .25x = 200
1.25x = 200
Divide each side by 1.25
x = 200/1.25
x =160
The original price was 160
Please help me understand this. Thank you! Gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x: A graph titled Song Downloading shows the Number of Weeks on x-axis and Number of Songs Left to Download on the y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0. Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points) Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
Rate of Change/Slope = -20
Equation: y= -20x +100
Step-by-step explanation:
A. We know the rate of change is also known as the slope. If we used the slope formula to find the slope we can find the Rate of Change.
[tex]\frac{y2 - y1}{x2 - x1} = \frac{100-80}{1-2} = \frac{20}{-1} = -20[/tex]
B. Since we know the slope and 1 point on the graph we can substitute them in for 'b'
(0,100)
(100)=-20(0) + b
b = 100
Since we know the slope and the b value we can write the equation:\
y = -20x +100
The rate of change refers to the slope of the line, that is the change in y-axis per unit change in the value on the x-axis. Hence, the rate of change is :
Slope = - 20y = -20x + 100Slope = Rise / Run Rise = (y2 - y1) = (0 - 100) = - 100Run = (x2 - x1) = (5 - 0) = 5Slope = - 100 / 5 = - 20
General form of a slope - intercept relation :
y = bx + cThe intercept, c can be calculated thus:
100 = - 20(0) + c
100 = 0 + c
c = 100
Hence, the slope - intercept equation will be y = - 20x + 100
Learn more : https://brainly.com/question/18479471
What is the difference between sin^-1 and sin?
Answer:
Step-by-step explanation:
sin of angle x is the trig ratio sine of x.
sin-1 x is the angle whose sine is x.
sin-1 x can also be written as arcsin x.
ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?
Answer:
m = 30 + 15
Step-by-step explanation:
The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:
m = 30 + 15
m = 45 miles
. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a discount of 0.2% on the maize sold. This discount was deducted from his commission. (a) Calculate (i) The discount allowed
Answer:
The discount allowed per bag is kshs 4
while the discount allowed on all the 300 bags is kshs 1,200
Step-by-step explanation:
Here, we are interested in calculating the discount allowed on the sales of the bag of maize.
From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.
Now, to find the amount of this, we proceed as follows;
What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.
The discount on each bag of maize would be;
0.2% of kshs 2000
That would be;
0.2/100 * 2,000 = 400/100 = kshs 4
Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200
Please answer this question now
Answer:
30.9 cm²
Step-by-step explanation:
To find the surface area of this figure, we find the area of the base and the 3 identical sides.
The base is split into two identical right triangles. Let's find the area of one and multiply by two.
Half of 3: 1.5
[tex]1.5\cdot2.6=3.9\\3.9\div2=1.95[/tex]
There are two right triangles:
[tex]1.95\cdot2=3.9[/tex]
The area of one of the sides will be the same thing, except the height is 6.
[tex]1.5\cdot6=9\\9\div2=4.5\\4.5\cdot2=9[/tex]
There are 3 sides identical to this one:
[tex]9\cdot3=27[/tex].
Add 27 and 3.9:
[tex]27+3.9=30.9[/tex]
Hope this helped!
Answer:
30.9 square centimeters
Step-by-step explanation:
3 * 1/2(3)(6) + 1/2(3)(2.6) = 30.9
help plz I think the first one is correct but I'm not sure
The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.
Answer:
Yes, because the P(A)P(B) = P(A and B)
Step-by-step explanation:
Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;
P(A and) = P(A)P(B)
Given: P(A) = watching a movie = 62% = 0.62
P(B) = going out to dinner = 46% = 0.46
The probability of watching a movie and going out to dinner will be
P(A and B)
P(A and B) = 0.62×0.46
P(A and B) = 0.2852
P(A and B) = 28.52%
Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.
a second degree equation in one variable example how many solutions does it have ?a second degree equation in one variable example how many solutions does it have ? is it possible to have many solutions or no solutions tions give an example for each
Answer:
0, 1, or 2 real solutions
Step-by-step explanation:
Including complex and repeated solutions, a polynomial with real coefficients, and of degree n, always has n solutions.
If you're only concerned about real solutions, a 2nd degree equation in one variable may have 0, 1, or 2 real solutions. Here are some examples.
0 solutions: x^2 +1 = 01 solution: x^2 = 02 solutions: x^2 -1 = 0Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:
Answer:
The sum and product of zeroes are 1 and 1/4, respectively.
Step-by-step explanation:
To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:
[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]
By the General Quadratic Formula:
[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]
[tex]s_{1,2} = \frac{1}{2}[/tex]
Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].
The sum and product of zeroes are, respectively:
[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]
[tex]s_{1}+s_{2} = 1[/tex]
[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]
[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]
The sum and product of zeroes are 1 and 1/4, respectively.
Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded prizes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Answer:
$23.5Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
Hence Gene expected cost will be $21.5
simplify 3/7
into a whole number
Answer:
You can't because it's not a "full fraction" like 7/7. The best you can do is turn that into a decimal like 0.43
Step-by-step explanation:
what is 0.7619047619 as a fraction?
Answer:
7619047619
10000000000
Step-by-step explanation:
Yeah big numbers:
To write 0.7619047619 as a fraction you have to write 0.7619047619 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.7619047619 = 0.7619047619/1 =
7.619047619/10 = 76.19047619/100 =
761.9047619/1000 = 7619.047619/10000 =
76190.47619/100000 = 761904.7619/1000000 =
7619047.619/10000000 = 76190476.19/100000000 = 761904761.9/1000000000 = 7619047619/10000000000
Hope this helps, have a good day :)
(brainliest would be appreciated?)
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 18.5 centimeters tall?
Answer:The number of days it will grow to be 18.5 cm tall is 17 days.
Step-by-step explanation:
To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.
So= 18.5-10= 8.5cm
8.5 is the centimeters it needs to grow to be 18.5 cm tall.
Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.
So= 8.5÷0.5= 17
I hope this helps! Ask me if you're confused.
Complete the table. At least the first few so I understand how to do it
Answer:
What we need to do is simply multiply the values in both columns e.g 4 * 3/36 = 12/36
Please check explanation for complete answer
Step-by-step explanation:
Here, we are concerned about filling the empty columns of the table.
What we want to do here is simply straightforward. All we need to do is to
multiply the values of x by the values of P(x) in each of the individual rows.
Also recall, we do not need to reduce the fractions.
So we have;
2. 3 * 2/36 = 6/36
3. 4 * 3/36 = 12/36
4. 5 * 4/36 = 20/36
5. 6 * 5/36 = 30/36
6. 7 * 6/36 = 42/36
7. 8 * 5/36 = 40/36
8. 9 * 4/36 = 36/36
9. 10 * 3/36 = 30/36
10. 11 * 2/36 = 22/36
11. 12 * 1/36 = 12/36
hat is the solution of the system of equations?
y = 3x – 4
−3y = −9x + 12
-3=n/2-6 help pleaseeee!!!!
Answer:
6 = n
Step-by-step explanation:
-3=n/2-6
Add 6 to each side
-3+6 = n/2 -6+6
3 = n/2
Multiply each side by 2
3*2 = n/2 *2
6 = n
━━━━━━━☆☆━━━━━━━
▹ Answer
n = 6
▹ Step-by-Step Explanation
-3 = n/2 - 6
Multiply both sides by 2:
-6 = n - 12
Rearrange the terms:
-n -6 = -12
Calculate:
-n = -6
Change the signs:
n = 6
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Please help me!! I'll give brainliest btw
Answer:
e. cannot be determined
Step-by-step explanation:
m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5
n = 1/2(x² + x + 10) =
m/n = (x+5)/(1/2(x² + x + 10))
Not enough information
WILL GIVE BRAINLIEST
Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4
Answer:
D) 36x²-4
Step-by-step explanation:
36x²+12x-12x-4
36x²-4
[tex](6x - 2)(6x + 2) \\ = {(6x)}^{2} - {(2)}^{2} \\ = {36x}^{2} - 4[/tex]
Answer:
D.
[tex] {36x}^{2} - 4[/tex]
Hope you could understand.
If you have any query, feel free to ask.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Addition property of Equality
Step-by-step explanation:
Adding same quantity to both sides of equation is called addition property of equality
Which of the following are natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.) only B.) −1,−2,−3,… C.) 7,8,9,… D.) fractions E.) 22
Answer:
Option C and option E
Step-by-step explanation:
C.) 7,8,9,…
E.) 22
Natural numbers are also called counting numbers.
They begin from 1, 2, 3 to infinity.
Natural numbers are greater than zero (0)
They do not have decimal point in them.
They are positive integers, as such they do not have minus
Natural numbers can include commas when they are large like 3,000
At the beginning of the day the stock market goes up 60 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes down 100 1/4 points from the high at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer: it would be 40/2 or 20, but im not sure.
Step-by-step explanation: so what I did was: 100 1/4 - 60 1/2: 100 - 60 = 40 and then I subtracted 1-1 which is 0 then 4-2 which is 2, and got 40/2 or just simplify which will be equal to 20
If the geometric mean of a and 120 is 60, find the value of a.
Answer:
The answer is option 4.
Step-by-step explanation:
Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :
[tex] \frac{a + 120}{2} = 60[/tex]
[tex]a + 120 = 60 \times 2[/tex]
[tex]a + 120 = 120[/tex]
[tex]a = 120 - 120[/tex]
[tex]a = 0[/tex]
[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]
[tex] \sqrt{a\cdot120}=60 [/tex]
[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]
[tex] \implies a =30 [/tex]
Two students use different methods to solve this multiplication problem:
3/4*-4 2/9
Read each of their methods below and then enter numbers to correctly complete their
work.
Answer/Step-by-step Explanation:
Given, [tex]\frac{3}{4}*-4\frac{2}{9}[/tex]
Ivy solves this problem by writing each number as a fraction and then multiplies as shown below:
[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}* -\frac{38}{9} [/tex]
[tex] = \frac{3}{4}*-\frac{38}{9} = -\frac{3*38}{4*9} = -\frac{1*19}{2*3}[/tex]
[tex]= -\frac{19}{6}[/tex]
Fabian solves this problem by writing the mixed number as a sum and applies the distributive method of multiplication as shown below:
[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}(-4 + -\frac{2}{9}) [/tex]
[tex] = \frac{3}{4}*-4 + \frac{3}{4}*-\frac{2}{9} [/tex]
[tex] = -\frac{3}{1} + \frac{1}{2}*-\frac{1}{3} [/tex]
[tex] = -3 + (-\frac{1}{6}) [/tex]
[tex] = -3 - \frac{1}{6} = -3\frac{1}{6} [/tex]
What is the y−intercept of the line that passes through the point (4,9)and is parallel to the line y=12x+2?
Answer:
y- intercept = - 39
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 12x + 2 ← is in slope- intercept form
with slope m = 12
Parallel lines have equal slopes, thus
y = mx + c ← is the partial equation
To find c substitute (4, 9) into the partial equation
9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept
Answer:
y-intercept = -39
Step-by-step explanation:
if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line
y=mx+c
y=12x+2
comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use
y-y1=m(x-x1)
y1=9 and x1=4
y-9=12(x-4)
y-9=12x-48
y=2x-48+9
y=2x-39
comparing to the default equation of a line y=mx+c where c is the y-intercept
therefore the y-intercept is -39
what equation accurately represent this statement three less than 4 times a number is less than 12
Answer: 4t - 3 < 12
Step-by-step explanation:
in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league
Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.
Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,
Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90
Learn more about Addition:
https://brainly.com/question/13167637
#SPJ2
help8b2 • 2b3 a) 16b-2 ,b) 16b6 ,c) 16b-4 ,d) 16b5
Answer:
16b^5
Step-by-step explanation:
8b^2×2b^3
= 16b^2+3
= 16b^5
Answer:
D)16b5
Step-by-step explanation:
8b2×2b3
= 16b2+3
= 16b5
A club has 16 members, included Mary and Peter. If two representative are
randomly selected from those members, find the probability that
(d) Mary or Peter is chosen.
Answer:
12.5 percent; 2/16; 1/8
Step-by-step explanation:
Peter and Mary make up 2 of the clubs members, so the probability that they are chosen is 2/16. This simplifies to 1/8, and in decimal form is .125. Therefore, the percentage form of the probability they are chosen is 12.5 percent.
Given the following venn diagram, choose the correct set for M
Answer:
M contains 3,4,7,9
M bar is 2 ,5 ,6 ,8
Step-by-step explanation:
The set for M is what is in the circle labeled M
M contains 3,4,7,9
The question in the picture asks for M bar which is what is not contained in M
M bar is 2 ,5 ,6 ,8
