Answer:
The number of times Abigail is faster on her skateboard than she is walking is 2 times faster
Step-by-step explanation:
Let the distance to Abigail's home = D
The distance Abigail had traveled before hr skateboard broke = 2/3·D
The distance from home where the skateboard broke = D - 2/3·D = 1/3·D
The time it took Abigail to walk the 1/3·D home = Twice the time it will take her if she was on her skateboard
Let the time it will take Abigail to travel the 1/3·D home on her skateboard = t
Therefore;
The time it took Abigail to walk the 1/3·D home = 2 × t
The speed of Abigail walking, [tex]s_w[/tex]= Distance/Time = 1/3·D/(2 × t) = D/(2·t)
The speed of Abigail skateboarding, [tex]s_s[/tex]= Distance/Time =D/t
The ratio of the speed of Abigail skateboarding to the speed of Abigail walking = [tex]\dfrac{s_s}{y_w} = \dfrac{\dfrac{D}{t} }{\dfrac{D}{2 \times t} } = \dfrac{D}{t} \times \dfrac{2 \times t}{D} = 2[/tex]
Therefore, Abigail is two times faster on her skateboard than she is walking.
Tom bought a soft drink for 3 dollars and 7 candy bars. He spent a total of 24 dollars. How much did each candy bar cost ? i just need an equation to resembel this probelm
Answer:
24
Step-by-step explanation:
The quotient of a number and -5 has a result of 2. What is the number?
Answer:
The number is - 10Step-by-step explanation:
quotient of a number and -5 is written as
[tex] \frac{x}{ - 5} [/tex]
Equate it to 2
We have
[tex] \frac{x}{ - 5} = 2[/tex]
Cross multiply
That's
x = 2 × - 5
x = - 10
Hope this helps you
Answer: -10
Step-by-step explanation:
So to set up the equation, it will be x/-5 = 2.
Then, you multiply (because it is the inverse of dividing) 2 by -5, and you get -10.
NEED HELP IMMEDIATELY. I WILL BRAINLIEST
Step-by-step explanation:
Equation: y= [tex]-x^2+3x+9[/tex]
To create a parabola:
Does your parabola open up or down: If up, a>0 if down, a<0
This one opens down.
Is there a vertical strech or vertical compression:
No
What is the y-intercept: (0,9)
What strategy: Quadratic formula
Why?: You can fully factor the equation. You just get
-([tex](x^2-3x-9)[/tex] which isn't factorable.
Use the quadratic formula, where a= -1, b= 3, and c=9 to show your work.
Quadratic formula: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a} \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{-(3)+\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex] and [tex]\frac{-(3)-\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex]
[tex]\frac{-3+\sqrt{9-4(-9)} }{-2}[/tex] and[tex]\frac{-3-\sqrt{9-4(-9)} }{-2}[/tex]
[tex]\frac{-3+\sqrt{9+36} }{-2}[/tex] and [tex]\frac{-3-\sqrt{9+36} }{-2}[/tex]
[tex]\frac{-3+\sqrt{45} }{-2}[/tex] and[tex]\frac{-3-\sqrt{45} }{-2}[/tex]
[tex]\sqrt{45}[/tex] = [tex]\sqrt{9 (5)} = 3\sqrt{5}[/tex]
[tex]\frac{-3+3\sqrt{5} }{-2}[/tex] and [tex]\frac{-3-3\sqrt{5} }{-2}[/tex]
Cancel the negatives (-3) and (-2)
[tex]\frac{3 +3\sqrt{5} }{2} or\frac{3 -3\sqrt{5} }{2}[/tex] = end result
Good luck!
A convertible is traveling at 45miles per hour and it’s wheels have a diameter of 48 inches . How many complete revolutions do the wheels make in one minute
Answer: 315.3 min^-1
Step-by-step explanation:
Given the following :
Speed = 45miles per hour
Diameter of wheels = 48inches
Number of complete revolutions the wheel makes in one minute =?
Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute
1 mile = 63360 ; 60minutes = 1 hour
45 miles / hour = (45 × 63360) / 60
= 2851200 inch/60 min
= 47520inch/min
Distance covered per revolution:
Circumference of a circle (C) = 2πr
Where r = radius ; r = diameter / 2
r = 48/2 = 24 inches
C = 2 * 3.14 * 24 = 150.72inches
Number of revolutions per minute:
Speed per minute / distance covered per revolution
(47520inch/min)/ (150.72 inch)
= 315.286 min^-1
someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon are: $295, $475, $345, $595, $538, $460. A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington are: $495, $422, $370, $333, $370, $390. answer the following questions: What is the median price of rent for the University of Oregon? What is the median price of rent for the University of Washington? What is the mean price of rent near the University of Oregon? What is the mean price of rent near the University of Washington? Describe the standard deviation for both Universities.
Answer:
Oregon:
Median: 467.5
Mean: 451.33
Standard Deviation: 113.6
Washington:
median: 380
Mean: 396.6
Standard deviation: 56.3
Step-by-step explanation:
To calculate the median, we need to organize the price and select the value that is in the middle position.
To calculate the mean, we need to sum all the values and divide them by the number of values
To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.
So, for Oregon, the organized values are:
$295, $345, $460, $475, $538, $595
The median is a value between $460 and $475. it is calculated as:
[tex]\frac{460+475}{2}=467.5[/tex]
The mean is:
[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]
The standard deviation is:
[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]
At the same way, we can calculate the median, mean, and standard deviation for Washington and get:
median: 380
Mean: 396.6
Standard deviation: 56.3
Which of the following points satisfies the inequality y>1/3x-2 which side should be shaded
Answer: Hope this helps <3
Step-by-step explanation:
Help please........please
Answer:
58, 38 and 76
Step-by-step explanation:
(a)
The median is represented by the vertical line inside the box
median = 58
(b)
The interquartile range is the difference between the upper quartile and the lower quartile.
The upper quartile is the value at the right of the box, that is 72
The lower quartile is the value at the left of the box, that is 34
Interquartile range = 72 - 34 = 38
(c)
The range is the difference between the largest and smallest value
max value is the value at the right of the data, that is 86
min value is the value at the left of the data, that is 10
Range = 86 - 10 = 76
Which system of equations below has no solution? A. y = 4x + 5 and y = 4x – 5 B. y = 4x + 5 and 2y = 8x + 10 C. y = 4x + 5 and y = One-fourthx + 5 D. y = 4x + 5 and y = 8x + 10
Answer: A y=4x -5 and y=4x+5
Step-by-step explanation:
They have no solutions because they have the same slopes but different y intercepts. That works with any equation.
Answer:
the answer is A
Step-by-step explanation:
Write an algebraic expression for the given word expression:
4.7 less than a number k
Answer:
k-4.7
Step-by-step explanation:
It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)
Answer:
k-4.7
Step-by-step explanation:
For writing algebraic expressions, we have translate the words to math.
4.7 less than a number k, means subtraction (notice the word- less)
Thus, we have k-4.7
Hope this helps :)
Helllppppp
Which rule describes the composition of
transformations that maps AABC to AA'B'C"?
Answer:
reflection and rotation
Step-by-step explanation:
Cesar comenta que su papa esta interesado en comprar un terreno o vivienda.En estos tiempos de cuarentena su padre ha aprendido a comunicarse mas por medio de las redes sociales y justamente,atraves de whappsap,un amigo le envio una imagen del terreno de una vivienda en venta. Su padre le mostro la imagen y quiere que le alyude a realizar diversos calculos.si los calculos son 40m+14m+a+20m+54m+20+a.¿cual es el area de la vivienda?
Answer:
El área de la casa es de 1,304 m²
Step-by-step explanation:
De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²
Las dimensiones del jardín son;
Longitud = 40 m.
Ancho = a m
Por lo tanto, 40 × a = 640
a = 640/40 = 16 m
La dimensión del compuesto es así;
Longitud = 40 + 14 = 54 m
Ancho = 20 + a = 20 + 16 = 36 m
El área del compuesto = Área de la casa + Área del jardín
El área del compuesto = Ancho del compuesto × Longitud del compuesto
El área del compuesto = 36 × 54 = 1,944 m²
∴ 1,944 m² = Área de la casa + Área del jardín
1,944 m² = Área de la casa + 640 m²
Área de la casa = 1,944 m² - 640 m² = 1,304 m²
El área de la casa = 1,304 m².
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4
Answer:
[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]
hope this helps
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope
Answer:
y = (1/3)x +4
Step-by-step explanation:
The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.
The slope-intercept form of the equation of a line is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept.
When we put the proper numbers in the equation, we have ...
y = (1/3)x + 4
What is the speed of a plane that goes 15000 miles per hour in per seconds?
Answer:
There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.
Answer:
[tex]4 \frac{1}{6} \: miles \: per \: seconds[/tex]Step-by-step explanation:
[tex]1500 \: miles \: \: per \: hour[/tex]
[tex] = \frac{15000}{60 \times 60} [/tex]
[tex] = \frac{15000}{3600} [/tex]
[tex] = \frac{25}{6} [/tex]
[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]
Hope this helps...
Good luck on your assignment...
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The answer would be f(a)=-1
-AC I hope this helps<3
A rectangle has a long side of 8.5 cm length. Its perimeter is 24cm Work out the length of the shorter sides
Answer:
x=3.5
Step-by-step explanation:
Perimeter: 8.5+8.5+2x=24
Simplifying we get: 17+2x=24
Subtracting 17 we get: 2x=7
Dividing by 2 we get: x=3.5
Is X and Y in direct proportion? If so, how?
Answer:
No
Step-by-step explanation:
For X and Y to be in proportion, The values should both be the same so if x is 10 y is 10 and so on.
Can someone explain how to answer this question please
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?
Answer: 240 seconds OR 4 minutes
Step-by-step explanation:
Length of the train = 1 km
Length of the tunnel = 1 km
Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km
= 2000 m
Speed of the train = 30 km/hr = 8.333 metres per second
Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.
= 240 seconds = 4 minutes
what is the area of shape below NEED HELP NOWWW
Answer:
15 units[tex] {}^{2} [/tex]Step-by-step explanation:
Given figure : Trapezium
Upper base of trapezium ( b1 ) = 7
Lower base ( b2 ) = 3
Height ( h ) = 3
Now, finding the area of trapezium:
[tex] \frac{1}{2} (b1 + b2)h[/tex]
Plugging the values
[tex] \frac{1}{2} \times (7 + 3) \times 3[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 10 \times 3[/tex]
Reduce the numbers with G.C.F 2
[tex]5 \times 3[/tex]
Calculate the product
[tex] = 15 \: {units}^{2} [/tex]
Hope this helps..
Best regards!
I need help ASAP! It's urgent.. PLISSSSS
Answer:
hope this helps you
Jimmy is using a recipe that calls for 3/4 cup of flour. He only has a 1/8 of a cup measure spoon. How many spoons of the 1/8 will he need to be equivalent to 3/4?
Answer: 6 of 1/8 cups
Step-by-step explanation:
Answer:
He needs 6 more spoons
Step-by-step explanation:
Since Jimmy needs 3/4 cups of flour and only has 1/8 cups as his measuring spoon, we can do 3/4 = x/8
Now, we need to make the denominator the same, so we will multiply 2 from the numerator and denominator in 3/4.
Afterwards, the equation would be : 6/8 = x/8
x = 6
Apply the distributive property to create an equivalent expression. 6 (a +2b+3c)
Answer:
6a + 12b + 18c
Step-by-step explanation:
6 (a +2b+3c)
Distribute
6a + 6*2b + 6*3c
6a + 12b + 18c
Polynomial function in standard form with zeros 5,-4,1
Answer:
[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
by definition we can write
[tex](x-5)(x+4)(x-1)[/tex]
as 5,-4,1 are the zeroes
now we have to write it in the standard form, let's do it
[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]
hope this helps
hi can I have help, please
Answer:
[tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]
Step-by-step explanation:
Consider any one of the vertices of A
To translate to the corresponding vertex in B , the requirement is
shift 5 to the left, that is negative 5
shift 5 units down that is negative 5
The single translation is [tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]
what is the coefficient of b in the expression b² - 5b +18
Answer:
-5
Step-by-step explanation:
This is a quadratic polynomial that has the form ax²+bx+c :
a = 1b= -5 c= 18here the coefficient of b is -5
Answer:
5
but if you sure just looking for the coefficient to just plain b, it is 5
the coefficient of (b^2) is 1 and the coefficient of b itself -5
the reason i say coefficient to (b^2) is 1 because there is no numder in front
of the variable , it is automatically assumed to be 1
Step-by-step explanation:
a coefficient is a numder that a variable is multiplied by
can someone help me with part b of question please.
Answer:
125
Step-by-step explanation:
They want you to work out [tex]\\\frac{5 *10^{6} }{4*10^{4} }[/tex]
5 x 1000000/ 4 x 10000
[tex]\frac{5000000}{40000}[/tex] = 125
Please let me know if it's not correct.
Hope this helps :)
help me please :) thanks
Answer: B
Step-by-step explanation: graph b
On June 4th 2020, a new language was created called Math - is - fun! This language is a place value system which is written horizontally and the units place is on the right side and there is a space between each unit. The numerals used for this language are as follows: ! + 1 10 The positional values are as follows: ...,15^3 x 7^1, 15^2 x 7^1, 15 x 7^1, 7^1, 7^0 1) Write the numeral 125,126 in the language of Math – is – fun!
Answer:
56555666565252
Step-by-step explanation:
the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
In the language of Math - is - fun!, the numerals used are !, +, 1, and 10. The positional values are as follows: ..., 15³ x 7¹, 15² x 7¹, 15 x 7¹, 7¹, 7⁰.
To write the numeral 125,126 in the language of Math - is - fun!, we need to express it using the available numerals and positional values.
125,126 can be expressed as:
15² x 7¹ + 15 x 7¹ + 7¹ + 7⁰
In Math - is - fun! notation, this becomes:
+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰
So, the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
Learn more about Math - is - fun! here
https://brainly.com/question/29256669
#SPJ2
The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three rental companies in town, you have found out that each
one will deliver and pick up their barbeque. The cost of propane is included in the rental. The rental costs are indicated below.
Rental A: $15/h
Rental B. $5/h + 50
Rental C. $9/h + 20
1. Write an equation that models the rental cost, C, for each company
2 Graph all three models onto the same set of coordinate axis.
3. Which rental company should be chosen if you use the barbeque during lunch (11:05 - 12 30) and keep the barbeque to continue sales during the football game that will end about
4 30? Justify your answer
4. Which rental company should be chosen if your school lunch hours run from 11:05 - 12.30? Justify your answer
5 Which rental company should be chosen if your school returned the barbeque the following day? Justify your answer.
Answer:
(A)Cost of Rental A, C= 15x
Cost of Rental B, C=5x+50
Cost of Rental C, C=9x+20
(B)
i. Rental C ii. Rental A iii. Rental B
Step-by-step explanation:
Part 1
Let x be the number of hours of the barbeque use by the club.
Rental A: $15/h
Cost of Rental A, C= 15hx
Rental B: $5/h + 50
Cost of Rental B, C=5x+50
Rental C: $9/h + 20
Cost of Rental C, C=9x+20
Part 2
The graph of the three models is attached below
Part 3(11.05-4.30)
If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.
Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours
Cost of Rental A, C= 15x=15(4.42)=$66.30
Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10
Cost of Rental C, C=9x+20=9(4.42)+20=$59.78
Rental C should be chosen as it offers the lowest cost.
Part 4 (11.05-12.30)
Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours
Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78Rental A should be chosen since it offers the lowest cost.
Part 5
If the barbecue is returned the next day, say after 24 hours
Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236Rental B should be chosen as it offers the lowest cost.