The amount of discount is always subtracted by the original price to find the sale price.
The formula is SP=MP-Discount
for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount
So it results to $4000.
Hope it will help u and make u understand...
1. What is the constant of proportionality or "m" in the equation below?
2. What is the y-intercept or "b" in the equation below?
y = -3x + 2
The constant of proportionality, o slope, is the coefficient multiplying [tex]x[/tex] in the equation. The y-intercept is the constant term added at the end, with no variable:
[tex]y=mx+b[/tex]
Answer:
1. m = -3
2. b = 2
Step-by-step explanation:
Using slope-form equation, y = mx+b where m is the gradient of the line and b is the y-intercept. So in the equation, y = -3x + 2, m is -3 and b is 2.
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x).
f(x)+6
[tex]\huge \boxed{\boxed{\textbf{See attached graph}}}[/tex]
Step-by-step explanation:Understanding the TransformationAdding a constant [+6] to [f(x)] shifts the entire graph of [f(x)] vertically up by 6 units. This means that every y-value of the original function will increase by 6.
Locating PointsWe need to identify a few key points on the original graph of f(x). For example the [f(x)] given has points:
[tex]\boxed{\begin{minipage}{7 cm}Applying Transformation \\ \\(0,-2) \xrightarrow[\text{}]{\text{y+6 = -2+6}} (0,4) \\ \\(1,2) \xrightarrow[\text{}]{\text{y+6 = 2+6}} (1,8) \\ \\(2, 6) \xrightarrow[\text{}]{\text{y+6 = 6+6}} (2,12)\end{minipage}}[/tex]
Shifting the Points UpWe can shift each point on the original graph 6 units up. For each point [(x, y)] on [f(x)], plot the new point at [(x, y + 6)]
Drawing the Transformed GraphAfter plotting the transformed points, connect them to form the new line, which will be parallel to the original line and shifted 6 units up.
[tex]\hrulefill[/tex]
Can you explain it and help me out please
Answer:
D. 5.0
Step-by-step explanation:
When the ball hit the ground, height h =0
So,
h= -4.9t² + 25t
0 = -4.9t² +25t
t(-4.9t+25)=0
t=0 (start) , and -4.9t+25=0, 4.9t =25, t≈5.1(finish)
D.5.0
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7.50 and each adult ticket sells for $12.50. The
auditorium can hold at most 96 people. The drama club must make no less than $990
from ticket sales to cover the show's costs. If 59 adult tickets were sold, determine the
minimum number of student tickets that the drama club must sell in order to meet
the show's expenses. If there are no possible solutions, submit an empty answer.
Answer:
It is not 37, it is 34
Step-by-step explanation:
\underline{\text{Define Variables:}}
Define Variables:
May choose any letters.
\text{Let }s=
Let s=
\,\,\text{the number of student tickets sold}
the number of student tickets sold
\text{Let }a=
Let a=
\,\,\text{the number of adult tickets sold}
the number of adult tickets sold
\text{\textquotedblleft at most 96 people"}\rightarrow \text{96 or fewer tickets}
“at most 96 people"→96 or fewer tickets
Use a \le≤ symbol
Therefore the total number of tickets sold, s+as+a, must be less than or equal to 96:96:
s+a\le 96
s+a≤96
\text{\textquotedblleft no less than \$990"}\rightarrow \text{\$990 or more}
“no less than $990"→$990 or more
Use a \ge≥ symbol
Each student ticket sells for $7.50, so ss student tickets will bring in 7.50s7.50s dollars. Each adult ticket sells for $12.50, so aa adult tickets will bring in 12.50a12.50a dollars. Therefore, the total amount of revenue 7.50s+12.50a7.50s+12.50a must be greater than or equal to \$990:$990:
7.50s+12.50a\ge 990
7.50s+12.50a≥990
\text{Plug in }59\text{ for }a\text{ and solve each inequality:}
Plug in 59 for a and solve each inequality:
Colton worked 59 adult tickets
\begin{aligned}s+a\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50a\ge 990 \\ s+\color{green}{59}\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50\left(\color{green}{59}\right)\ge 990 \\ s\le 37\hspace{10px}\text{and}\hspace{10px}&7.50s+737.50\ge 990 \\ \hspace{10px}&7.50s\ge 252.50 \\ \hspace{10px}&s\ge 33.67 \\ \end{aligned}
s+a≤96and
s+59≤96and
s≤37and
7.50s+12.50a≥990
7.50s+12.50(59)≥990
7.50s+737.50≥990
7.50s≥252.50
s≥33.67
\text{The values of }s\text{ that make BOTH inequalities true are:}
The values of s that make BOTH inequalities true are:
\{34,\ 35,\ 36,\ 37\}
{34, 35, 36, 37}
Therefore the minimum number of student tickets that the drama club must sell is 34.
Which expression is equivalent to 7(6+y) *
Which equations have no solution? Select all that apply.
B 0.5y = 0
cx - 7=x-7
D 90-1 + x) + 1 = 12x + 1
E
8+4.f= 4(3 + f)
Answer:
Which equations have no solution ? Select all that apply .
A ) x+5 = x - 5 (no solution)
B)0.5y=0 (solution, y=0)
C) x-7= x -7 (all real numbers)
D) 9 ( -1 + x ) +1 = 12x + 1 (solution, x=-3)
E ) 8+4. f = 4 (3+ f ) (no solution)
Step-by-step explanation:
- Hope this helps! If you would like an explanation please let me know as I would be glad to help.
Solve 2y+1−x=7x for y
2y + 1 - x = 7x
2y + 1 = 8x
2y = 8x - 1
y = 4x - 1/2
WILL BRAINLIEST IF ANSWER IS RIGHT!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP!!!!!! 50-100 POINTS!!!!!!!!
Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference of their weights is 170. What is the weight of Train A? What is the weight of Train B?
Answer:
241 tons
Step-by-step explanation:
312-170=142
142÷2=71
170+71=241
241+71=312
train B weighs 241 tons
Answer:
Step-by-step explanation:
i believe train A weighs 137 tons and train B weighs 60 tons. sorry took me a while plese dont report
Twenty less than the product of 3 and a number is -29. What is the number?
Answer:
-3
Step-by-step explanation:
3*-3=-9
-9-20=-29
To find the number, we can represent it as 'x' and create an equation. By isolating 'x' using addition and division, we find that the number is -3.
To solve this problem, let's represent the number as 'x'. The product of 3 and the number can be written as 3x. According to the problem, 20 less than 3x is equal to -29.
We can write this as: 3x - 20 = -29. To find the value of x, we need to isolate x. Adding 20 to both sides of the equation, we get: 3x = -9.
Finally, dividing both sides by 3, we find that the number is x = -3.
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What minus 1/2 equals 3/4
Answer:
W =1 1/4Step-by-step explanation:
Let W = what
W - 1/2 = 3/4
Add 1/2 to each side
W -1/2 +1/2 = 3/4+1/2
W = 3/4+1/2
Getting a common denominator of 4
W =3/4+1/2*2/2
W =3/4 +2/4
W = 5/4
Changing to a mixed number
W = 4/4 +1/4
W = 1 +1/4
W =1 1/4
To solve the question 'What minus 1/2 equals 3/4', we set up the equation X - 1/2 = 3/4. We then solve for X by adding 1/2 (equivalent to 2/4) to both sides, resulting in X = 5/4 or X = 1 1/4.
Explanation:To solve the equation What minus 1/2 equals 3/4, you are basically looking for a number that when subtracted by 1/2 gives 3/4. To find this, we can use the basics of algebra.
Let's let the 'What' variable be X. So the equation becomes: X - 1/2 = 3/4. To solve for X, you would add 1/2 to both sides of the equation. The result is:
X = 3/4 + 1/2.
These are both fractions so we add them according to the rules of adding fractions. Finding a common denominator for the fractions, in this case, 4, we rewrite 1/2 as 2/4. The equation now reads X = 3/4 + 2/4.
Adding them gives us X = 5/4, or, written as a mixed fraction, X = 1 1/4.
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Could someone help me with this question please!
X:y = 5: 3 and x + y = 56
Work out the value of x-y
Find the L.C.M of 4, 8 and 12 by listing the first six multiples of each number.
Answer: 24
4: 4,8,12,16,20,24
8: 8,16,24,32,40,48
12: 12,24,36,48,60,72
Janice bought 4 shirts that are red green white and yellow and 3 pairs of pants that are black, light blue and dark blue use an organized list to determine the probability that Janice wears a white shirt and blue pants if she randomly chooses her outfit from her new clothes
Answer:
16.7%
Step-by-step explanation:
The first thing is to mention that they are two independent events, therefore the final probability is the multiplication of the two.
First event, select shirt. In total there are 4 and you must choose one of them, therefore the probability is:
1/4
Second event, select the pants. In total there are 3 and you must choose one of them, but there are two blue types, therefore any of the two is worth what means that the probability is:
2/3
The final probability:
P = 1/4 * 2/3
P = 0.167
Which means that the probability of choosing a white shirt and a blue pant (light or dark) is 16.7%
Identify which of the following equations represent functions. Select all that apply.
y = 4x + 13
x = 5
x2 + y2 = 16
y2 = x - 6
y = 3x2 - x - 1
Answer:
y=4x+13
y=3x2-x-1
Step-by-step explanation:
the two are only functions given in the option
What is 6x^2 – 3х + 12 =
Answer:
The answer is C because of distributive property. To check just multiply the number outside of the parenthesis by each number or variable inside the parenthesis.
Answer:
C. [tex]3(2x^2 - x + 4)[/tex]
Step-by-step explanation:
You must find the GCF (Greatest Common Factor) that can be applied to all the terms.
In this case, you can only divide everything by 3:
[tex]6x^2-3x+12\\3(2x^2-x+4)[/tex]
please answer this question
Find the half life of a substance which decays according to the function A(t)=600e^-0.05t, where t is time in days. Round to the nearest day.
Answer:
14 days
Step-by-step explanation:
The half life of a substance is the time required until the object has only half of the inicial mass.
So, to find the inicial mass of the object, we use t = 0 in the equation A(t):
A(0) = 600*e^0 = 600
Half of this mass is 300, so we can use A(t) = 300 and then find the time:
300 = 600e^-0.05t
e^-0.05t = 0.5
ln(e^-0.05t) = ln(0.5)
-0.05t = -0.6931
t = 13.862 days
Rounding to nearest day, we have that t = 14 days
The calculated half-life is approximately 14 days.
To find the half-life of the substance decaying according to the function A(t) = 600[tex]e^{-0.05t}[/tex], we start by utilizing the definition of half-life. The half-life (t1/2) is the time required for the amount of the substance to reduce to half its initial quantity.
Given:
Initial amount A0 = 600 unitsDecay function: A(t) = 600[tex]e^{-0.05t}[/tex]1. At half-life, A(t1/2) = A0 / 2, which means:
600 / 2 = 600[tex]e^{-0.05(t1/2)}[/tex]
2. Simplifying this equation:
300 = 600[tex]e^{-0.05(t1/2)}[/tex]
0.5 = [tex]e^{-0.05(t1/2)}[/tex]
3. Taking the natural logarithm on both sides gives:
ln(0.5) = -0.05t1/2
ln(0.5) ≈ -0.693
So,
-0.693 = -0.05t1/2
t1/2 = 0.693 / 0.05 ≈ 13.86 days
Rounding to the nearest day, the half-life is approximately 14 days.
Help please! Will give brainly!
Question 6. A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge for a minivan is $180 per week plus $0.40 per mile. After how many miles is the total charge for each vehicle the same?
Answer:
Let's consider:
Car rent function: [tex]C(x)=240+0.25x[/tex]
Minivan rent function: [tex]M(x)=180+0.40x[/tex]
[tex]C(x)=M(x)[/tex]
[tex]240+0.25x=180+0.40x[/tex]
[tex]60=0.15x\\x=400[/tex]
Finally: After how many miles is the total charge for each vehicle the same?
After 400 miles.
The area of the rectangle is 4000 square meters. What is the perimeter of the track? Use 3.14 for pi.
The question does not provide sufficient information to work out the perimeter of the track based on the given area. More information or clarification is necessary.
Explanation:The subject of the question is unclear. Specifically, the mention of a 'track' and its 'perimeter' suggest a geometry-related question but there isn't enough information. Normally, if the track was a rectangle and you know the area as 4000 square meters, you'd need at least one side length to determine the other side and compute the perimeter. The mention of pi, however, indicates a possible circular track that wouldn't fit the context of a rectangular area. Please provide more information or clarify the question so a more accurate guide can be given.
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Raquel takes her pulse in order to determine her resting heart rate, measured in beats per minute (\text{bpm})(bpm)left parenthesis, start text, b, p, m, end text, right parenthesis. She takes it for three minutes, and makes the following table of the results. We'll assume that Raquel's heart rate is constant over the three-minute period.
The graph below shows an ideal resting heart rate for someone Raquel's height, weight, age, and general level of fitness. The x-coordinate represents minutes, and the y-coordinate represents beats.
Minute 1 2 3
Beats 62 124 186
Answer: His heart rate his slow
Step-by-step explanation:
Because his heart in the graph does not match the table since the second coordinate is somewhere near 128 the line doesn’t go on that side.
What is a part of a population used to describe the whole group?
A) Population
B) Sample
C) Statistics
D) Inference
E) Parameter
Answer:
In basic terms, a population is the total number of individuals, animals, items, observation, data, etc. So the sample, in other words, is a portion, part, or fraction of the whole group, and acts as a subset of the population. Samples are used in a variety of settings where research is conducted.
A ladder needs to reach a second-story window that is 10 feet above the ground and make an angle with
the ground of 68°. How far out from the building does the base of the ladder need to be positioned?
Round your answer to the nearest tenth.
The base of the ladder needs to be
feet away from the wall.
The base of the ladder needs to be positioned approximately 27.3 feet away from the wall.
Let's consider the ladder as the hypotenuse of a right triangle, where one leg represents the distance from the building (let's call it 'x'), and the other leg is the height of the window above the ground (10 feet). The angle between the ground and the ladder is given as 68°.
We can use the tangent function, which is defined as the ratio of the opposite side (height of the window) to the adjacent side (distance from the building):
tan(θ) = Opposite / Adjacent
In this case, tan(68°) = 10 feet / x
To find 'x,' we can rearrange the equation:
x = 10 feet / tan(68°)
Now, we can plug the values into a calculator to get the answer:
x ≈ 27.3 feet
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Frank monitors the cost of gasoline for his budget. The table below shows Frank's gasoline purchases for the month of June. What was the average cost per gallon for gas during Week 4?
Answer:
I would love to answer your question, but where is the table.
A handyman charges a flat rate of $150, plus $25 per hour for house painting. A painter charges $55 per hour for house painting. The painter wants to make the same amount of money as the handyman. The equation 150 + 25x = 55x was created to show the relationship . Which of the following represents x?A)The number of hours spent painting each house. B)The number of cans of paint needed. C)The cost for painting each house. D)The flat rate fee for painting each house.
Answer:
A) The number of hours spent painting each house
Step-by-step explanation:
You know that the cost of painting will include the product of the hourly cost (55 or 25) and the number of hours.
The equations have x multiplied by 55 or 25, so it is reasonable to assume that ...
x represents the number of hours spent painting
a circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle, what is the area of the shaded region
Answer:
42.43 [tex]cm^{2}[/tex]
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
[tex]Area\ of\ cirle=\pi r^{2}[/tex]
[tex]= =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571[/tex]
As here length an width both are 11 cm, we can say that this is a square.
[tex]Area\ of\ square=(Side)^{2}[/tex]
= [tex]=11\times11=121\ cm^{2}[/tex]
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]
Therefore, the area of the shaded region will be 42.43 [tex]cm^{2}[/tex]
Just need the answer to c.
Answer:
c) 0
Step-by-step explanation:
C) -0.0035A + 70 = -0.0035 * 2000 +70
= -70 + 70 = 0
36 times 58 Help Asap
Answer:
2088
Step-by-step explanation:
What is U(2.4, -1) reflected across the y-axis?
Answer:
(-2.4,-1)
Step-by-step explanation:
Answer:
(-2.4, -1)
Step-by-step explanation:
When you mirror a point across the y-axis, which is the vertical axis, the x-coordinate changes it's sign from either positive to negative or negative to positive.
25 points volume math answer clue pls ty
Answer:
my guy did you repost this as I just answered this about ten minutes ago
Answer:
HE WAS LAST SEEN HEADING NORTH
Step-by-step explanation:
360: A
25×10×40 = 10000: I
(15×10.5×20)/450 = 7: W
(35×16×50)/800 = 35: S
3168/(22×9) = 16: N
cuberoot(64) = 4: R
6.5×15×8.5 = 828.75: G
4×2×3 = 24: E
3885/(18.5×15) = 14: H
3³ = 27: T
½ (7×9×12) = 378: L
30×20×11 = 6600: D
3600/(2×4÷5) = 90: O
What is 2X +7 = 5X -8
Answer:
X=5
Step-by-step explanation:
2X+7=5X-8
7=3X-8
15=3X
5=X
Answer:
X=5
Step-by-step explanation: