Answer:
x = 8/3, y = 16/3
Step-by-step explanation:
ΔBFE ~ ΔADE, so
x/8 = 6/(12 + 6), x = 8/3
y = 8 - x = 8 - 8/3 = 16/3
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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a regular 7 sided polygon is all but which of the following:
the length of 6 identical iron rods is 48 unit what will be the total length of 9 such rods
The total length of 9 rods will be 72 units.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The length of 6 identical iron rods is 48 unit.
Now,
Since, the length of 6 identical iron rods is 48 unit.
Hence, the length of 9 identical iron rods = 9 × 48 / 6
= 9 × 8
= 72 units
Thus, The total length of 9 rods will be 72 units.
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please help! needs to be submitted in 15 minutes
6 / 2 = 3
Every 3 feet of shadow would be 1 foot of height of the tower.
171 feet/ 3 = 57
Answer: The tower is 57 feet tall.
Please help with this!!
Answer:
2x + 4
Step-by-step explanation:
So sorry if this is wrong, I'm rusty in this area of math
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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desperately need help!!!
The classification , symmetry , maximum r-values and the zeroes of the function are solved
Given data ,
a)
Let the function be represented as A
Now , the value of A is
r² = 25 sin( 2θ )
The equation represents a cardioid
It is symmetric about the polar axis.
The maximum values of r occur at θ = (π/4) + kπ/2, and the maximum value of r is 5.
The equation has zeroes at θ = kπ/2, and the corresponding values of r are given by r = 0
b)
The equation represents a limaçon.
It is symmetric about the polar axis.
The maximum value of r is 7.
The equation has zeroes at θ = arccos(1/3) + 2kπ or θ = -arccos(1/3) + 2kπ, and the corresponding values of r can be found by substituting into the equation r = 4 - 3cos(θ).
c)
The equation represents an Archimedean spiral.
It does not possess any symmetry.
There is no maximum r value.
The equation has a zero at θ = 1/2.
Hence , the zeroes of the function are solved
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The sale price of every item in a store is 85% of its usual price the usual price of backpack is $18 what is its sale price
Answer: the sale price is $2.70
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 18 × 85/100
Discount = 18 x 0.85
You save = $15.30
Final Price = Original Price - Discount
Final Price = 18 - 15.3
Final Price = $2.70
HELP
1. (08.01) Two lines, A and B, are represented by the following equations:
Line A: y = -x + 4
Line B: y = -x + 4
Which statement is true about the solution to the set of equations? (4 points)
It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.
Answer:
there is no solution since the equations are the same hence on trying to solve all variables will cancel out
A line that includes the points (5, 4) and (3, a) has a slope of -3. What is the value of a?
a =
Answer:
a = - 2
Step-by-step explanation:
Givens
y2 = 4
y1 = a
x2 = 5
x1 = 3
Formula
m = (y2 - y1)/(x2 - x1)
Solution
3 = (4 - a)/(5 - 3) Combine the denominator on the right
3 = (4 - a)/2 Multiply both sides by 2
3*2 = 4 - a Subtract 4 from both sides
6 - 4 = - a
2 = - a Multiply both sides by - 1
-2 = a
An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1c at a time. A television that is worth
$2000 is won, on average, with a bid of $160. You make one bid at random.
Find the expected value of the outcome of the bid. (Write as an exact decimal, with a negative sign, if necessary.)
Expected Value: $
The expected value of the outcome of the bid is $0.18
So let's start by counting how many bids are placed up to a total of 160.
100*160 = 16000.
What will be your arbitrary bid? As each bid has an equal chance of success, the average of all bids is used. (One cent plus 160 dollars) / 2 = 80 dollars (rounded)
Your odds of winning are 1/16000 (1 bid out of 16000).
If you win, your profit is 1920 ($2000 minus $80.00).
1920/16000 is $0.12
Your cost to enter the auction is $1, and your average winning offer is $0.12.
The result is $0.18 (0.12-1=-0.88).
Thus the expected value of the outcome of the bid is $0.18
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This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
Which of the following sets of numbers could represent the three sides of a triangle?
{12,16,29}
{14,21,36}
{14,28,39}
{8,14,24}
Answer:
{14,28,39}
Step-by-step explanation:
By the Triangle Inequality Theorem, if given side lengths \(a\), \(b\), and \(c\), where \(c\) is the longest side of the triangle, then \(a+b\geq c\) holds true.
For the first set of numbers, \(12+16\ngeq29\), so it doesn't represent the three sides of a triangle
For the second set of numbers, \(14+21\ngeq36\), so it doesn't represent the three sides of a triangle
For the third set of numbers, \(14+28\geq39\), so it does represent the three sides of a triangle
For the fourth set of numbers, \(8+14\ngeq24\), so it doesn't represent the three sides of a triangle
The value of a car will “depreciate” over time. For example, a car that was worth $24 000 when it was new, is being sold for $13 500 three years later. Determine the annual depreciation rate on this car. Express your final answer as a percent, rounded to one decimal place.
Answer:
The car will depreciate at a rate of 21.14% per year.
Step-by-step explanation:
Given that the value of a car will “depreciate” over time, and, for example, a car that was worth $ 24,000 when it was new, is being sold for $ 13,500 three years later, to determine the annual depreciation rate on this car the following calculation must be performed:
13,500 x (1 + X) ^ 1x3 = 24,000
13,500 x (1 + 0.2114) ^ 3 = 24,000
X = 21.14%
Therefore, the car will depreciate at a rate of 21.14% per year.
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
please help i’m struggling
Answer:
x = 7
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
\(\frac{AC}{XZ}\) = \(\frac{BC}{YZ}\) ( substitute values )
\(\frac{12x-63}{7x-14}\) = \(\frac{6}{10}\) = \(\frac{3}{5}\) ( cross- multiply )
5(12x - 63) = 3(7x - 14) ← distribute parenthesis
60x - 315 = 21x - 42 ( subtract 21x from both sides )
39x - 315 = - 42 ( add 315 to both sides )
39x = 273 ( divide both sides by 39 )
x = 7
Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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solve compound inequality x ≥ -3 or x < 3
Answer:
Step-by-step explanation:
Compound Inequalities is a method to find the variable value for the given compound inequalities. The two inequalities would be joined by the word 'and' or 'or'. It is presented in a number line. When the arrow points away from each other in the number line, then the inequalities are joined by 'and', if arrow points on same direction ...
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Suppose you roll a special 10-sided die. What is the probability that the number rolled is a^ prime prime 6^ prime prime OR a 7
The probability of rolling a number that is either a prime number greater than 2 and ending in 6, or the number 7, is 5/10 or 1/2.
What do you mean by Probability?The chance or potential of a result is referred to as probability. It explains the probability of a particular occurrence.
The chance of rolling a prime number or a 6' prime prime on a die is the total of the probabilities of rolling each of those numbers, assuming that the 10-sided die is fair and that all sides are equally likely to land face up.
A 10-sided dice has the following four prime numbers: 2, 3, 5, and 7. Moreover, there is only one number that is 6' prime (or 6"), and that number is 9. Only one number exists, and that is seven. Hence, the likelihood that a prime number or 6' prime prime will be rolled is:
P(prime or 6' prime prime) = P(2) + P(3) + P(5) + P(7) + P(9)
Since there are 10 possible outcomes, each with an equal probability of 1/10, the probability of rolling any single number is 1/10. Therefore:
P(2) = P(3) = P(5) = P(7) = 1/10
P(9) = 1/10
Substituting these values into the equation above gives:
P(prime or 6' prime prime) = 1/10 + 1/10 + 1/10 + 1/10 + 1/10
1/10 = 6/10 = 3/5
Therefore, the probability of rolling a prime number or 6' prime prime on a 10-sided die is 3/5.
Correct question Suppose you roll a special 36-sided die. What is the probability that the number rolled is a "1" or "2"?
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56 - 2x = 4
Solve for x
The residents of the city voted on whether to raise property taxes the ratio of yes votes to no votes was 5 to 3 if there was 2868 no votes what was the total number of votes 
For Given Fraction 5/3, The total number of votes is 7648.
What is a fraction?
In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
For example, 5/10 is a fraction.
Here, 5 is a numerator and 10 is a denominator.
There are four different types of fractions. They are:
Unit Fraction – In a fraction, the numerator with 1 is called a unit fraction. For example, ½, ¼
Proper Fraction – If a numerator value is less than the denominator value, it is called a proper fraction. Example: 7/9, 8/10
Improper Fraction – If a numerator value is greater than the denominator value, then it is called an improper fraction. Example: 6/5, 11/10
Mixed Fraction – If a fraction consists of a whole number with a proper fraction, it is called a mixed fraction. Example 5 ¾, 10 ½
Now,
As given ratio is 5/3 for Yes votes to no votes
so total votes is 5x+38x
and also given that no votes i.e. 3x=2868
so, x=956
Hence,
Total votes=8*956=7648
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Best way to solve this type of equation Ax+by=c
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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2w + 7 = 2(w + 5) - 8
Answer:
no solution
Step-by-step explanation:
2w + 7 = 2(w + 5) - 8
Distribute
2w+7 = 2w+10-8
Combine like terms
2w+7 = 2w+2
Subtract 2w from each side
7 = 2
This is never true so there is no solution
Hey there! I'm happy to help!
First we use the distributive property to undo the parentheses.
2w+7=2w+10-8
We combine like terms.
2w+7=2w+2
We subtract 2w from both sides.
7=2
Since we lost our variables and this equation is not true, there are no solutions to this equation as there is no possible value for w that can make this true.
Have a wonderful day! :D
A cyclist is riding a bicycle whose wheels have a diameter of 1.8 feet. Suppose the wheels turn at a rate of 240 revolutions
per minute.
(a) Find the angular speed of the wheels in radians per minute.
(b) Find the speed of the cyclist in feet per minute.
Do not round any intermediate computations, and round your answer to the nearest whole number
well, one revolution is 2π radians, so 240 revolutions/min will just be
\(\cfrac{240~~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{min}\cdot \cfrac{2\pi }{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{480\pi}{min}\implies 480\pi \frac{rad}{min}\)
well, v = rω, and since we know ω from above, so
\(\omega=\cfrac{480\pi}{min}\qquad \qquad v=\left( \cfrac{1.8}{2}ft \right) \left( \cfrac{480\pi}{min} \right)\implies v=\cfrac{432\pi~ft}{min} \implies v\approx 1357\frac{ft}{min}\)