Answer:
(137.75 - 15.25)/24.5=x
122.5/24/5=x
5=x
x= number of friends who can go to the amusement park
Step-by-step explanation:
137.75 is the total amount of money.
First, we need to subtract 15.25 because this money is going to be spent on parking.
Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.
Hope this helped!
By solving a linear equation we will see that 5 people can go to the amusement park.
How to write the linear equation?We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:
$137.75 - $15.25 = $122.50
Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:
y = $122.50 - $24.50*x
To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).
$0 = $122.50 - $24.50*x
$24.50*x = $122.50
x = $122.50/$24.50 = 5
So with that amount of money, 5 people can go to the amusement park.
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Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4
Answer:
2 2 y = a x 2 + b x + c ; a ≠ 0 2
Step-by-step explanation:
c. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
find
i. The total number of people in the community.
ii. The number of women in the community.
iii. How many more women are there than men if 400 men joined the community.
The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting.
A graph titled Chicken Consumption has amount (ounces) on the x-axis, going from 3.2 to 12.8 in increments of 1.2. The highest point of the curve is at 8.
Which statement describes the distribution?
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of –1.2 ounces.
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
The distribution is approximately Normal, with a mean of 1.2 ounces and a standard deviation of 8 ounces.
The distribution is uniform, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
Using concepts of the normal and of the uniform distribution, it is found that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
In an uniform distribution, all outcomes are equally as likely, thus they have the same height.In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
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Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
a) 270° counterclockwise rotation about the point (1,-2)
So, the new coordinates are
B(2, -3)→(1, -1)
C(6, -4)→(5, -2)
D(7, -6)→(6, -4)
E(3, -5)→(2, -3)
After 270° counterclockwise rotation, we get coordinates as
B(1, -1)→B'(-1, -1)
C(5, -2)→C'(-2, -5)
D(6, -4)→D'(-4, -6)
E(2, -3)→E'(-3, -2)
b) Translation along the vector (0,8)
B(2, -3)→B''(2, 5)
C(6, -4)→C''(6, 4)
D(7, -6)→D''(7, 2)
E(3, -5)→E''(3, 3)
Therefore,
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
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Five times the sum of a number and 9 equals 4
Answer:
I think it might be (x + 9)5 = 4 or 5(x + 9) = 4. I'm not really sure.
I hoped this helped
Have a nice day!
Step-by-step explanation:
Can somebody help me as soon as possible?
Answer:
2400
Step-by-step explanation:
y= -300x + 2400
-300 equals the slope
2400 is the y-intercept
Equation: y = mx + b
Please explain Nominal Scale of Measurement, Ordinal Scale of Measurement, Interval Scale of Measurement, and Ratio Scale of Measurement in detail and when to use each of them. Thx!
Nominal data, derived from the Latin word 'name,' is just that: a name. Republicans, Democrats, Independents, and so on. You have no idea who or why you're voting for, but you do have a party name, so that's something, right? To make this more quantitative, give each a random number of your choosing (usually small sequential numbers like 1, 2, or 3 but it could be anything). The kinds of statistical analysis you can do with nominal data are severely restricted since the value of the number has no relevance in your environment; it's simply a placeholder.
Ordinal data gives a numerical order to a prior category, such as 'Republican,' although that order does not have to signify anything. Let me explain: suppose you're questioned on a poll to rank your preferred candidate on a scale of 1 to 5. Obviously, a value of '5' is better than a value of '1,' but what does it mean? I'm glad you asked.
Interval data takes ordinal ideas and couples them with schemata that make sense. Using our prior 1-5 scale, for example, 1 degree Fahrenheit is cooler than 5 degrees. Interval data lacks a point of origin, which makes sense when discussing temperatures since 0 degrees Fahrenheit does not indicate a lack of temperature.
Ratio data combines the preceding three ideas and adds a point of origin, or '0' value. The greatest example I could think of was speed. We all realize that 5 mph is quicker than 1 mph, precisely since we all know that 0 mph implies we're not moving at all.
kyle wishes to purchase a used car that has a cash price of $12,000. the installment terms include a down payment of $3,000 and 48 monthly payments of $224.
what finance charge will kyle pay?
what is the APR to the nearest half percent?
Using simple interest and the information given, it is found that:
The finance charge was of $1,752.The APR was of 0.0365 = 3.65%.The cash price of the car is of $12,000.For they payment, there is a down payment of $3,000, plus 48 payments of $224, hence, the total payment is:
[tex]P = 3000 + 48(224) = 13752[/tex]
The finance charge is the total payment subtracted by the cash price, hence:
[tex]E = 13752 - 12000 = 1752[/tex]
The amount of simple interest accrued after t years, with an APR of r and an initial value of I, is:
[tex]E = Irt[/tex]
For this problem, we have that [tex]E = 1752, I = 12000, t = \frac{48}{12} = 4[/tex], hence:
[tex]E = Irt[/tex]
[tex]1752 = 12000(4)r[/tex]
[tex]r = \frac{1752}{48000}[/tex]
[tex]r = 0.0365[/tex]
The APR was of 0.0365 = 3.65%.
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How do you simplify 48/200
Answer:
6/25
Step-by-step explanation:
all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down
6x44
hbgvtfwtydtwftdftwyfdywdwd
Answer:
264
Step-by-step explanation:
well you could have just used a calculator!
Answer:
Step-by-step explanation:
es 264 como estas
We know that February has either 28 or 29 days, but there is a year in the future, February will have 30 days
What exactly is this year?
Answer:
The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.
Step-by-step explanation:
A line that includes the point (16, 15) has a slope of 0. What is its equation in
slope-intercept form?
9514 1404 393
Answer:
y = 0x + 15
Step-by-step explanation:
A line with a slope of 0 is a horizontal line. It has the same y-value everywhere. If it goes through the point (16, 15) with y-coordinate 15, then its y-intercept is 15.
Writing the slope explicitly, the equation is ...
y = 0x +15
Simplified, the equation is
y = 15
Refer to the rectangular prism
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
A. 9/35
B. -9/35
C. -3 8/9
D.3 8/9
Answer:
D. 3 8/9Step-by-step explanation:
[tex] \frac{x}{y} \\ x \div y \\ - \frac{7}{9} \div - 0.2 \\ - \frac{7}{9} \times - \frac{1}{0.2} \\ \frac{7}{1.8} \\ \frac{7 \times 10}{1.8 \times 10} \\ \frac{70}{18} \\ \frac{35}{9} \\ = 3 \frac{8}{9} \\ [/tex]
plsssss help meee!!!!
Grade 4
Step-by-step explanation:
1. the total amount of pieces they have
2. cup noodle
3. mutiplication
4. four class
5. 9660
Write the equation that shows the relationship in the table
Answer:
y= 20x
Step-by-step explanation:
[tex]40/2=100/5=200/10=20[/tex] linear function.
I hope this help you
if y=6 when x=40 find x when y=24
Answer:
160
Step-by-step explanation:
24/6=4
4 x 40 = 160
x is 160 when y is 24
Answer:
160
Step-by-step explanation:
Let x be... well x
24 ÷ 6 = 4
40 × 4 = 160
OR
40÷6 ≈6.66
6.6666666... × 24 = 160
The speed of sound in air is 340 m/s. How far , in meters, would a sound of wave travel on 7 seconds?
Answer:
2 380m
Step-by-step explanation:
very simple just multiply 7×340
help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
5
2
m−
5
4
−
5
3
m
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?
Answer:
$30
Step-by-step explanation:
20%=6
5x20%=100%
so
5x6=30
Hope this helps! Thanks.
Angelica is making fruit baskets. She has 3 bags containing 35 tangerines each. She has 4 bags of apples. Using no particular combination of fruit, Angelica was able to make 13 fruit baskets with 13 pieces of fruit in each basket. Each bag contained an equal number of apples. How many apples, a, were in each bag?
Write the equation, solve it out and provide the solution.
5 bags of apples 29 apples in each bag
maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit
A manager announces that a sweater will go on sale every month at a discount of 25% less than the previous month’s price. If the sweater is at full (retail) price today, how many months from today will it take the price of that sweater to drop to half of today’s price
Answer:
2 months
Step-by-step explanation:
its at full price at 100%
if it goes down 25% it'll take 2 months to drop half of today's price because 25 x 2 = 50
half of 100
When converted to a household measurement, 9 kilograms is approximately equal to a
What is 317.466 ounces or 19.8 pounds
1kg in household measurement is equal to 35.274 ounces.
So, 35.274*9= 317.466 ounces
317.466/16= 19.8 pounds
Please allow me to know this helped with brainly.
Thank you - Miss Hawaii
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a. What is the probability density function for the time it takes to complete the task? b. What is the probability that it will take a worker less than 4 minutes to complete the task? c. What is the probability that it will take a worker between 6 and 10 minutes to complete the task?
The speed of object A is 1,500 mph faster than that of object B. If
object B travels 3,500 miles in the same amount of time that object A
travels 85,000 miles, then find the speed of object A.
Answer:
1564.42 mph
Step-by-step explanation:
Let a = Object A's speed
b = Object B's speed
a = b + 1500
a/85000 = b/3500
Let's make subtract 1500 from both sides of the first equation
a = b + 1500
- 1500 - 1500
b = a - 1500
Cross multiply the second equation
3500a = 85000b
Plug in the new b into this new equation
3500a = 85000(a - 1500)
3500a = 85000a - 127500000
Subtract 3500a and 127500000 from both sides
3500a = 85000a - 127500000
- 3500a - 3500a
0 = 81500a - 127500000
+ 127500000 + 127500000
127500000 = 81500a
Divide both sides by 81500
127500000/81500 = 81500a/81500
a = 1564.4171779141104
Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.
The required area of the figure is 100.75 units².
What is area?Area of an object shows that how much space it can cover.
Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,
We need to find the area of the figure,
To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,
Area of a rectangle = length × width = 14 × 10 = 140 units²
Area of a semicircle = π × radius² / 2
Here the diameter of the semicircle will be the width of the rectangle,
So,
Diameter = 10
Radius = 5
Area of a semicircle = 3.14 × 25/2 = 39.25 units²
Now,
The area of the figure = 140 - 39.25 = 100.75 units²
Hence, the required area of the figure is 100.75 units².
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Question below
Answer choices
A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook
DISCLAIMER I AM IN MIDDLE SCHOOL NOT COLLEGE
for every completed length of audiobook, Zhen spends 6.5 hours working.
C.Zhen spends 6 1/2 hours working per audiobook