Answer:
D. Mr. Anderson can travel 99.28 miles.
Step-by-step explanation:
If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.
Find the average of this set of numbers.28, 26, 21, 13
A) 22
B) 20
C) 19
D) none of the above
Answer:
A
Step-by-step explanation:
26 + 28 = 54
54 + 21 = 75
75 + 13 = 88
88 / 4 = 22
Answer is A
Answer: 22
Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88
Then divide 88 by 4: 22
The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4
The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
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Sunshine Rental rents a motorcycle at a daily rate of $57.99 plus 48 cents per mile. City Rentals
rents the same motorcycle at $58.95 plus 46 cents per mile. For what mileage is the cost the same?
Answer:
48 miles
Step-by-step explanation:
To find the mileage when both cost the same, first form two equations for the total cost for each rental place.
Let the mileage be m.
Sunshine Rental
Daily rate= $57.99
Total cost= $(57.99 +0.48m)
City Rentals
Daily rate= $58.95
Total cost= $(58.95 +0.46m)
Let's equate both equations together.
When both costs the same,
57.99 +0.48m= 58.95 +0.46m
0.48m -0.46m= 58.95 -57.99
0.02m= 0.96
Solve for m:
m= 0.96 ÷0.02
m= 48
The cost is the same at 48 miles.
FIND THE MISSING LENGTH.
Answer:
x = 9
x+7 = 16
Step-by-step explanation:
The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.
long side/short side = (x+7)/12 = 12/x
x(x +7) = 12²
x +7x -144 = 0 . . . . . subtract 144 to put in standard form
(x +16)(x -9) = 0 . . . . factor
x = 9 . . . . . . only the positive solution is useful here
The missing lengths are ...
x = DC = 9x+7 = DA = 16f(x) = -x^2 + 6x - 10
Sketch the graph of each function.
(Please show work, I don’t understand).
Answer:
The graph would not be as able to see the form and/or function so hope this helps
How many units are there between point A (-3,80) and point B (-3,12)
Answer:
68 units
Step-by-step explanation:
Given:
Point A = (-3, 80)Point B = (-3, 12)As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.
Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:
[tex]\sf distance=y_A-y_B=80-12=68 \ units[/tex]
An airplane flying with the wind takes 5 hours to travel a distance of 960 miles. The return trip takes 6 hours flying against the wind. What is the speed of the airplane in still air and how fast is the wind blowing?
let's recall that d = rt, distance = rate * time.
a = speed of the airplane in still air.
w = speed of the wind
the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.
when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.
when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]
This is the question
Check the picture below, so the lines look more or less like so, so the shape that we'll be getting will be the shape of a bowl with a hole in it, thus we'll use the washer method.
the way I use to get the larger Radius is simply using the "area under the curve" method, namely f(x) - g(x), where g(x) in this case is the axis of rotation.
so to get "R" and "r" we can get it by
[tex]\stackrel{y = 1}{(1)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies 1+3\implies \stackrel{R}{4} \\\\\\ \stackrel{y = \ln(x)}{\ln(x)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies \stackrel{r}{ln(x)+3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{R^2}{(4)^2}~~ - ~~\stackrel{r^2}{[\ln(x)+3]^2}\implies 16~~ - ~~[\ln^2(x)+6\ln(x)+9] \\\\\\ \ln^2(x)+6\ln(x)+7~\hfill \boxed{\displaystyle\int~[\ln^2(x)+6\ln(x)+7]dx}[/tex]
Flying against the jetstream, a jet travels 2370 miles in 3 hours. Flying with the jetstream, the same jet travels 6350 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
Explanation:
Jet's velocity against wind is
3040
4
=
760
mile per hour and flying with wind it is
8260
7
=
1180
miles per hour.
Let the velocity of jet in still air be
x
miles per hour and velocity of wind be
y
miles per hour.
As such its velocity against wind is
x
−
y
and with wind is
x
+
y
and therefore
x
−
y
=
760
and
x
+
y
=
1180
Adding the two
2
x
=
1940
and
x
=
970
and
y
=
1180
−
970
=
210
Hence velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
The speed of an aircraft in still air is 200kmh−1. The wind blows from the west at a speed of 85.0kmh−1.
1 Expert Answer
The speed of the plane in still air is 110 mph.
Multiply the headwind or tailwind component by your estimated flight time expressed as a decimal, such as "3.2 hours." Add the result (don't forget that tailwinds are negative numbers) to the geographic distance of your route. The resulting number will be total nautical air miles of your trip.
I need help with this
Answer:
The correct answer is B: 3 cubic feet.
Step-by-step explanation:
If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].
A string of decorative lights has 32 bulbs for every 2 feet of wire.
What is the unit rate of bulbs per yard?
HELP !!!!!
Answer:
First convert two feet into yards, knowing that:
1 foot = 0.333... yards
So,
2 feet in yards would mean double of 0.333... because one single foot is 0.333... yards.
2(0.333...)
= 0.666..., which we can round to 0.67.
So our new ratio will be 32 bulbs per 0.67 yards.
Now we convert this ratio into a unit rate,
Order your units;
Bulbs 32 47.76
______ ______ = ______, which rounds to about 48.
Yards 0.67 1
So the unit rate is 48 bulbs per yard.
there are 374 students at a school. Each table in the cafeteria hold 16 students. What is the MINIMUM number of tables needed for all of the students to eat lunch at the same time
Answer: There should at least be 23 tables
Step-by-step explanation:
If there is 23 tables there will still be six students with nowhere to sit :)
Un portapapeles cuesta $2.23. Cuesta $0.58 más que un cuaderno. Lisa compró dos portapapeles
y un cuaderno. Ella pagó con un billete de diez dólares. ¿Cuánto cambio recibió Lisa? Usa un diagrama
de cinta para mostrar tu razonamiento.
Answer:
3.38
Step-by-step explanation:
primero tienes que restar 2.23 por 0.58 que es igual a 1.65 luego sumas 1.65 por 4.46 porque 2.23 multiplicado por 2 es igual a 4.46 y eso es igual a 6.11 luego tienes que restar 10 por 6.11 que es igual a 3.89
State the following numbers using '+' or '_'.
(a) 80 less than zero
=
(b) 76 more than zero
=
2.List all integers
(a) from -8 to 4
=
(b) from -12 to -2
=
Step-by-step explanation:
-80 is less than 0.
+76 is more than 0.
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4
-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2
These numbers are common multiples of ________.
15, 30, 45, 60
A) 2 and 3
B) 3 and 5
C) 4 and 5
D) 3 and 4
Answer:
The answer is B.
Step-by-step explanation:
15÷3=5 15÷5=3
30÷3=10 30÷5=6
45÷3=15 45÷5=9
60÷3=20 60÷5=12
Determine f”(1) for the function f(x)=(3x^2-5x^2)^2.
Answer: 48
Step-by-step explanation:
Which number is bigger: 0.135 or 0.14?
The number 0.14 is bigger than 0.135.
To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.
Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.
In summary, the order of the numbers from smallest to largest is:
0.135 < 0.14.
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Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!
LETTER B IS THE CORRECT ANSWER
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Product A sells 2.5 times more than Product B. Product B sells 60% less than Product C. Product C sold 25,000 units this month.
How many units of Product A were sold?
10,000
15,000
25,000 37,500 62,500
Answer:37,500
Step-by-step explanation: Find 60% of 25000 which is 15000 then multiply by 2.5
Which of the following sets of numbers is a Pythagorean triple?
42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ
Answer:
42,40,58
Step-by-step explanation:
3.-Un camión de pasajeros arranca desde el reposo y mantiene una aceleración de 0.8 mis?
a) ¿En qué tiempo recorrerá una distancia de 0.5 km?
b) ¿Qué rapidez levará en ese tiempo en m/s y en km/h?
a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.
b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).
Caso de movimiento uniformemente acelerado
El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.
a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:
[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)
Donde:
[tex]x[/tex] - Cambio en la posición, en kilómetros. [tex]v_{o}[/tex] - Rapidez inicial, en metros por segundo.Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:
[tex]0.4\cdot t^{2}-500 = 0[/tex]
[tex]t \approx 35.355\,s[/tex]
El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]
b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:
[tex]v = v_{o} + a\cdot t[/tex] (2)
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:
[tex]v = 0 + 0.8\cdot (35.355)[/tex]
[tex]v = 28.284\,\frac{m}{s}[/tex] [tex]\left(101.822\,\frac{km}{h} \right)[/tex]
La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]
Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814
w = 4, x = 5, and y = 6
/ = fraction
8x - (6 + y)
w 3/4 = x²
y² - 0.5w
w/4 + 3(x+y)
Answer:
28, 28, 34, 34
Step-by-step explanation:
8x - (6 + y)
8(5) - (6 + 6)
40-12
28
w ¾ + x²
4(¾) + 5²
3 + 25
28
y² - 0.5w
6² - 0.5(4)
36 - 2
34
w / 4 + 3(x + y)
4 / 4 + 3(5 + 6)
1 + 3(11)
34
what is the area of a circle with a circumference of 250
also I lost some of my friends on here and I cant find them and I haven't seen them since June :(
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album
for $9.99. She also wants to use the gift card to buy some songs. Each song costs
$1.29.
Which of these inequalities describes this situation, where n is the number of songs Lin
wants to buy?
a) 9.99 + 1.29n > 50
b) 9.99 + 1.29n < 50
c) 9.99 - 1.29n > 50
d) 9.99 - 1.29n < 50
Answer:
b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over
Solve the equation for y.
2x + 5y = 5
y=25x+1
y=−10x+25
y=−25x+1
y=25x+5
Answer: C
Step-by-step explanation:
[tex]2x+5y=5[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]2x+5y-2x=5-2x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=5-2x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]
5-3x5* Whats the answer
Answer:
-10
Step-by-step explanation:
5 - 3*5
= 5 - 15
= -10
What equals -9 when multiplied but -8 when added
Answer:
1 and -9
Step-by-step explanation:
We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.
1 * -9 = -9
1 + (-9) = -8
Subtract. Write your answer in simplest for. 2/3 - 3/8
An AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?
Answer:
$1470 coupon of their product I have
What is M G to the nearest tenth
Answer:
tan m‹G = 28.2/45.8
m‹G= 31.62°