Answer:
120 dollars ($120)
Step-by-step explanation:
(x = original price)
(0.8 is from 0.2 (20 percent) being discounted, meaning 96 is 80% {0.8} of the original price)
x × 0.8 = 96
÷ 0.8 ÷0.8
x = 120
check: 120 × 0.2 = 24
(20 percent of 120 is 24)
120 - 24 = 96
So, the original price was 120 dollars
----
remember: percentage can be found by multiplying by 0.percentage
for example, 10% of 100 = 100 × 0.10 = 10
also written as: 100 × 0.1 = 10
what is the value of xy/z if x= 4, y = -3, and z = -2?
A. -1/6
B. -6
C. 1/6
D. 6
The following data give the distribution of the types of houses in a town containing 22,000 houses:House TypecapegarrisonsplitFrequency550088007700Percentage25%35%40%
The distribution of the types of houses in the town is as follows:
- 25% of houses are Cape houses
- 35% of houses are Garrison houses
- 40% of houses are Split houses.
According to the given data, there are 22,000 houses in the town and they are classified into three types: Cape, Garrison, and Split. The frequency of Cape houses is 5,500, the frequency of Garrison houses is 8,800, and the frequency of Split houses is 7,700.
To find the percentage of each house type, we need to use the formula:
Percentage = (Frequency / Total number of houses) x 100
For Cape houses, the percentage is (5,500 / 22,000) x 100 = 25%
For Garrison houses, the percentage is (8,800 / 22,000) x 100 = 35%
For Split houses, the percentage is (7,700 / 22,000) x 100 = 40%
Therefore, the distribution of the types of houses in the town is as follows:
- 25% of houses are Cape houses
- 35% of houses are Garrison houses
- 40% of houses are Split houses.
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In a half hour, Fred is meeting his
friends at the lake, 6 miles from his
house. At what average speed must he
ride his bike to get there on time?
Answer:
12 mph
Step-by-step explanation:
from fred to the lake is 6 miles
the time he needs to get there is 30 minutes or .5 hours
speed = distance/time
6/.5 = 6*2 = 12
message me for any questions
A school has 320 girls and 250 boys.
The probability that a girl is left-handed is 0.2
The probability that a boy is left-handed is 0.1
Estimate the number of left-handed students in the school.
Which of the following is not a principle of Agile Development?
a)Changing requirements are embraced throughout the development process.
b)Customers and developers work together.
c)Technical excellence and good design heighten agility.
d)Complexity is essential to development processes.
The false principle of Agile Development is D - Complexity is essential to development processes.
What is Agile Development?
Teams use the iterative agile development methodology for software development. Cross-functional, self-organized teams frequently adapt projects by analyzing the environment and user requirements.
The principle of Agile Development that is NOT correct is - "Complexity is essential to development processes".
In fact, Agile Development principles emphasize simplicity and minimizing complexity wherever possible.
This is because complexity can lead to a slower development process, difficulty in making changes, and increased risk of errors or bugs.
The other three principles listed are accurate principles of Agile Development.
Therefore, the incorrect option is D.
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What does plotting the points tell us about the relationship between x and y?
Answer:
A Scatter (XY) Plot has points that show the relationship between two sets of data. In this example, each dot shows one person's weight versus their height. (The data is plotted on the graph as " Cartesian (x,y) Coordinates ")
Step-by-step explanation:
hope it helps
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.
Step-by-step explanation:
You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.
Hope this helped you! Feel free to ask any further questions!
The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?Suppose the number of dimes be x and the number of quarters be y.
According to question there are 16 coins, so
x+y=16-----1
1 dime=$0.10
1 quarter=$0.25
According to question Hamid has $2,95 ,so
0.10x+0.25y=2.95.
Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
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what would be 2 + 7x + 3 − 5x − 1 = ______ plz help
Answer:
4 +2x
2(2+x)
Step-by-step explanation:
2 + 7x + 3 − 5x − 1
Combine like terms
2+3-1 +7x-5x
4 +2x
We could also factor out a 2
2(2+x)
true or false the ratio 3/8 to 1/2 has a unit rate of 3/16
The ratio 3/8 to 1/2 has a unit rate of 3/16 is false.
Given in the question:
The ratio of 3/8 to 1/2 has a unit rate of 3/16.
To check the it is true or false .
Let's Know:
What is Ratios?
The ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things.
Now, According to the question:
3/8 : 1/2 = 3/4
Hence, The ratio 3/8 to 1/2 has a unit rate of 3/16 is false.
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17. Find the value of x to the nearest tenth
30 points
Answer:
30
Step-by-step explanation:
triangles all equal 180
the given angle is 90
therefor the second biggest angle has to be 60 and the smallest angle then has to be 30
SOMEONE please just explain this to me I need to pass
Answer:
4
Step-by-step explanation:
I think I'm not that sure
Answer:
h = 0
Step-by-step explanation:
Ok, I got you.
To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.
y = the y - value of a point
m = the slope
x = the x - value of a point
b = the y - intercept (or where the line starts)
So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.
That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.
Simply, plug in the y and x values where they belong.
2 = 6 (-1) + b
(Remember the 6 is the slope)
Now, solve for b.
2 = -6 + b
8 = b
Now, you know the y - intercept.
So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.
So...
8 = 6 (x) + 8
(Remember 6 is the slope and 8 is the y - intercept)
Now, solve for x.
8 = 6x + 8
0 = 6x
0 = x
The value of h is 0.
I hope this helps :)
You are planning to completely delta hedge your ABC
share holdings. How many call options
will you need to hedge holding 480 shares of a company, if you know
that the option's delta is 0.6?
In order to completely delta hedge 480 shares of ABC company with an option delta of 0.6, you would need 3 call options.
To completely delta hedge your holdings of 480 shares of ABC company, you would need to calculate the number of call options required based on the delta of the option. The delta represents the change in the option price relative to the change in the underlying stock price. In this case, since the delta is given as 0.6, it means that for every $1 increase in the stock price, the option price will increase by $0.6.
To calculate the number of call options needed for delta hedging, you can use the following formula:
Number of call options = (Delta * Number of shares) / 100
Plugging in the given values, we have:
Number of call options = (0.6 * 480) / 100
Number of call options = 2.88
Since you cannot have a fractional number of options, you would need to round up to the nearest whole number. Therefore, you would need 3 call options to hedge your 480 shares of ABC company.
In summary, to completely delta hedge 480 shares of ABC company with an option delta of 0.6, you would need to acquire 3 call options.
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The perimeter of the triangle shown on the right is 369 feet.
Find the length of each side.
2x
8x-5
Answer:
^two dimentional figure with algebra^
the perimwter from triangle is:
s1 + s2 + s3
ok, enter:
s1 + s2 + s3= 369
x + (8x -5) + 2x = 369
x + 8x - 5 + 2x = 369
group according to the same variable
(x + 8x + 2x) + (-5)=369
11x + (-5)=369
11x - 5= 369
11x = 369 + 5
11x =374
x =374 : 11
x = 34
ok, subtituted:
s1= x
=34 feet
s2= 8x - 5
=8(34) - 5
=272 - 5
=267 feet
s3= 2x
=2(34)
=68 feet
FINALLY FOUND, MODERAT0R!!!!Complete the following statement.
16 fl oz = pt
Answer:
1
Step-by-step explanation:
divide the volume value by 16
Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)
Answer:
56 total units
Step-by-step explanation:
Here is what the plane would look like if the figure and points were drawn.
Answer:
52 unitsStep-by-step explanation:
Plot the points and connect.
Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.
Horizontal sides sum to:
2*(8 - (-7)) = 2*15 = 30Vertical sides sum to:
2*(8 - (-3)) = 2*11 = 22The perimeter is:
30 + 22 = 52I need help pls thank you
Blah blah
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
blacktop refining extracts minerals from ore mined at two different sites in montana. each ton of ore type 1 contains 20% copper, 20% zinc and 15% magnesium. each ton of ore type 2 contains 30% copper, 25% zinc and 10% magnesium. ore type 1 costs $90 per ton while ore type 2 costs $120 per ton. blacktop would like to buy enough ore to extract at least 9 tons of copper, 7 tons of zinc, and 6 tons of magnesium in the least costly manner. (let x1
Now, we can solve this system of inequalities using the Simplex method or graphically. The solution will provide the minimum cost and the corresponding amounts of ore purchased from each site.
To solve this problem, let's first assign variables to the amount of ore purchased from each site.
Let x1 represent the amount of ore type 1 purchased and x2 represent the amount of ore type 2 purchased.
We can set up the following equations based on the given information:
-
Copper: 0.20x1 + 0.30x2 ≥ 9
- Zinc: 0.20x1 + 0.25x2 ≥ 7
- Magnesium: 0.15x1 + 0.10x2 ≥ 6
Next, we need to minimize the cost function, which is:
Cost = 90x1 + 120x2
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To find the least costly way for Blacktop Refining to buy enough ore to extract at least 9 tons of copper, 7 tons of zinc, and 6 tons of magnesium, we can set up a system of equations.
Let x1 represent the number of tons of ore type 1 to purchase and let x2 represent the number of tons of ore type 2 to purchase.
The total cost can be calculated using the cost per ton for each ore type:
Cost = ($90 * x1) + ($120 * x2)
We also need to set up equations for the amount of each mineral extracted:
Copper = 0.20 * x1 + 0.30 * x2
Zinc = 0.20 * x1 + 0.25 * x2
Magnesium = 0.15 * x1 + 0.10 * x2
To minimize the cost, we need to find the values of x1 and x2 that satisfy the constraints (9 tons of copper, 7 tons of zinc, and 6 tons of magnesium) while minimizing the cost function.
Let's solve this system of equations using linear programming.
First, we need to express the cost function in terms of a single variable. Let's solve for x1 in terms of x2 from the Copper equation:
x1 = (9 - 0.30 * x2) / 0.20
Substituting this expression for x1 into the Zinc equation:
Zinc = 0.20 * ((9 - 0.30 * x2) / 0.20) + 0.25 * x2
Simplifying the equation:
Zinc = 9 - 0.30 * x2 + 0.25 * x2
Combining like terms:
Zinc = 9 - 0.05 * x2
Now we have two equations, Copper = 9 - 0.30 * x2 and Zinc = 9 - 0.05 * x2.
Substituting these equations into the Magnesium equation:
Magnesium = 0.15 * ((9 - 0.30 * x2) / 0.20) + 0.10 * x2
Simplifying the equation:
Magnesium = (27 - 0.90 * x2) / 0.20 + 0.10 * x2
Combining like terms:
Magnesium = 135 - 4.50 * x2 + 0.10 * x2
Now we have three equations: Copper = 9 - 0.30 * x2, Zinc = 9 - 0.05 * x2, and Magnesium = 135 - 4.50 * x2 + 0.10 * x2.
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I bought 5 gallons of gas for 1770 what is the unit price for gas per gallon
Answer:
Brainleist!Step-by-step explanation:
1770/5 = the unti price
1770 / 5 = 354
354
\(solution \\ cost \: of \: 5 \: gallons \: of \: gas = 1770 \\ cost \: of \: 1 \: gallons \: of \: gas = \frac{1770}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 354 \\ \)
hope it helps...
good luck on your assignment
Calculator
Problem
Triangle ABCABCA, B, C is similar to triangle FGHFGHF, G, H.
Solve for ppp.
p=p=p, equals
Two triangles A B C and F G H. Side A C is thirty. Side A B is thirty-five. Side B C is ten. Side F G is p. Side G H is six. Side H F is eighteen.
The required value of p would be 54 units which is determined by the similar triangles property.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
Triangles ΔABC has:
Side AC = 30 units
Side AB = 35 units
Side BC = 10 units
Triangles ΔFGH has:
Side FG = p
Side GH = 6 units
Side HF = 18 units
Triangles ΔABC and ΔFGH are similar triangles that are given in the question.
As per the similar triangles property,
Side AC / Side FG = Side BC / Side HF
30 / p = 10 / 18
Apply the cross-multiplication operation,
10p = 30 × 18
p = (30 × 18) / 10
p = 54
The required value of p would be 54 units.
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Answer:
p=54
Step-by-step explanation:
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
a box contains 7 white balls and 8 black balls. if 3 balls are drawn from the box at random, what is the probability of drawing 2 white balls and 1 black ball?
If three balls are picked at random from the box, the chance of obtaining two white balls and one black ball is 1/28.
What is probability?The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the probability formula. The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
a box contains 7 white balls and 8 black balls. if 3 balls are drawn from the box at random,
=2/7*1/8
=1/28
The probability of drawing 2 white balls and 1 black ball is 1/28 if 3 balls are drawn from the box at random.
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f(9)=-4(9)^2-4(9)+18=
What is 7x= -3 please help me answer this
Answer:
x=-3/7
..
......
Answer:
First of all, it's definitely going to be a negative number.
The answer is -2.333 repeating.
Step-by-step explanation:
Divide the negative 3 (-3 by 7)
Martin is exercising on a treadmill. The speed of the treadmill is set at exactly 4 miles per hour. If he continues running at this speed, how long will it take Martin to run 28 miles?
Answer:
Answer is 7
Step-by-step explanation:
Just took the lesson lol
If Martin continues running at the given speed, the amount of time it would take to run 28 miles is 7 hours.
What is speed?In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
By making time the subject of formula, we have the following:
Time = distance/speed
By substituting the given parameters into the formula for time, we have the following:
Time = 28/4
Time = 7 hours.
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Enter an inequality that represents the description, and then solve.
Toni can carry up to 10 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 3 lb, and her books (b) weigh 2 lb each. How many books can she carry in her backpack?
The inequality is _____.
Toni can carry up to _____ books in her backpack.
Answer:
The inequality is 1+3+2b ≤ 10.
Toni can carry up to 3 books in her backpack.
Step-by-step explanation:
Hope this helps!! <3
PLZZ HELP ASAAP LIKE I NEED THE ANSWER NOW, WILL MARK BRAINLEST
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are
(2, 6)
(−2, 6)
(−2, −6)
(2, −6)
Answer:
(-2,-6)
Step-by-step explanation:
25 POINTS IF YOU ANSWER THIS AND PLEASE TELL ME WHAT K IS!!
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
Find a coordinate of a point and its image. k is the ratio of those.
Here, it is easy to use the y-coordinate of J and J'.
Jy = -1
J'y = -2
k = J'y/Jy = -2/-1 = 2
The scale factor k is 2.
Markus decides to return 4 shirts costing $19 each to a clothing store. While there, he decides to purchase 2 pairs of shoes at $45 each and a raincoat for $62.75. The clerk charges him 5% tax on the amount due after returns. What amount does he owe the clerk?
Answer:
$80.59
Step-by-step explanation:
You add the price of the raincoat and shoes to get 152.75, you then subtract the price of the 4 shirts you returned to get 76.75. The 5% tax for this is 3.84 so you add the two together and you get $80.59.
Select all the true statements:
Answer:
B , C and d are true because thsimilarey are
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1
If the base of the exponent in an exponential growth function were 1, the function would become constant, with a fixed value of 1 regardless of the value of x.
In exponential growth functions, the base of the exponent represents the factor by which the function grows at each step. When the base is greater than 1, the function experiences exponential growth, with the values increasing rapidly over time. However, if the base of the exponent were 1, the function would change significantly.
When the base of the exponent is 1, the function becomes constant. This is because any number raised to the power of 1 remains unchanged. Therefore, if the base is 1, the exponential function will have a constant value and will not exhibit any growth or decay.
Mathematically, an exponential function with a base of 1 can be represented as:
f(x) = 1^x
No matter what value of x is used, the result will always be 1. For example, if we substitute different values for x, such as x = 2 or x = -3, we get:
f(2) = 1^2 = 1
f(-3) = 1^(-3) = 1
In both cases, the result is always 1.
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