Answer:
motorcycle A: 180 km/h
motorcycle B: 200 km/h
Step-by-step explanation:
To solve this question we need to write a system of equations for A and B, using the equation:
distance = speed * time
The speed of A is 20 less than the speed of B, so:
speedA = speedB - 20
And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:
timeA = timeB + 0.05
Then, using the distance equation, we have that:
distanceB = speedB * timeB
90 = speedB * timeB
distanceA = speedA * timeA
90 = (speedB - 20) * (timeB + 0.05)
90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1
90 = 90 + 0.05 * speedB - 20*timeB - 1
20*timeB = 0.05 * speedB - 1
timeB = (speedB - 20)/400
using this timeB in the distance equation, we have:
90 = speedB * (speedB - 20)/400
90 * 400 = speedB^2 - 20*speedB
speedB^2 - 20*speedB - 36000 = 0
Solving this quadratic equation, we have speedB = 200 km/h
And the speedA is:
speedA = speedB - 20 = 200 - 20 = 180 km/h
Can you please help me with this question
Answer:
0=0
1=10
2=15
3=20
Step-by-step explanation:
What I did was I multiplied each number by 5, then added 5.
the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second
Answer:
a) 27 m/s
b) 30 m/s
c) i) 3
ii) Deceleration
Step-by-step explanation:
The question is not complete, the correct question is given as:
The graph shows information about the speed of a vehicle during the final 50 seconds of a journey. At the start of the 50 seconds the speed is k metres per second. The distance travelled during the 50 seconds is 1.35 kilometres.
(a) Work out the average speed of the vehicle during the 50 seconds
(b) Work out the value of k.
(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey
(ii) Describe what this gradient represents
Answer:
The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m
a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:
[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]
b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.
[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time
[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]
ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²
Answer:
Step-by-step explanation:
a)34 m/s
b) 40k=34
k=34/40
k=0.85 m/s
Can someone please help me on this????
There are three types of tickets to enter the amusement park of a particular city. The normal ticket costs R $ 52.00, the child ticket costs R $ 20.00 and the elderly ticket costs R $ 28.00. A group of friends went to the park and paid in total R $ 480.00. In this group, each adult (normal or senior) took two children. How many normal tickets purchased?
Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.
Solve x
3x+6=42 please help me get this done
_______________________________
Solution,
3x+6=42
or,3x=42-6
or, 3x=36
or,X=36/3
X=12
The value of X is 12.
hope it helps
Good luck on your assignment
____________________________
Answer:
this can be solved by using transposition method let me tell you how
Step-by-step explanation:
3x+6=42
+6 will transpose to the rhs
=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)
= 3x = 36
3x will transpose and will become division
= x = 36 /3
=x =12
the value of x is 12
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.09
6.0%
1-year: $2200, 2-year: $3200, 3-year: $6600
1-year: $4000, 2-year: S5000, 3-year: $3000
1-year: S3200, 2-year: $4200, 3-year: $4600
1-year: $1000, 2-year: S2000, 3-year: $9000
Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15
Answer: 15
Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.
Answer:
15
Step-by-step explanation:
took the test on EDGE
Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save by buying 60 pencils at the sale price
Answer:
We would save $1.52 cents
Step-by-step explanation:
3 the pencil were at sale for 25 cent
1 pencil = 25 cent/3 =8.33 cent per one pencil
5 the pencil were at sale for 29 cent
1 pencil = 29 cent/5 =5.8 cent per one pencil
If we bought 60 pencil in group of 3 for 25 cent
=60/3= 20 pencil
25cents * 20 pencil = 500 cent per 60 pencil
If we bought 60 pencil in group of 5 for 29 cent
=60/5= 12 pencil
29cents * 12 pencil = 348 cent per 60 pencil
From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
Please help me with my question!!!
Answer: They can make 18 ornaments
Step-by-step explanation:
you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)
a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c
Answer:
a:b:c = 15:24:100.
Step-by-step explanation:
We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.
6 25 = 8 : 33.33......
So a:b:c = 5:8:33.33...
To convert to whole numbers we multiply by 3:
a:b:c = 15:24:100.
Given the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
C - 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
No need
Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
Please help me with my question:))
Answer:
D
Step-by-step explanation:
Two lines are perpendicular when the product of their slopes = - 1
line 1: y = 3x + 4
(3 , 0) ; (-3,2)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]
Slope of line 1 = 3
Slope of line 2 = -1/3
3* -1/3 = -1
Answer:
im sorry but you just need a chill pill
Step-by-step explanation:
Acellus
Find the value of x below. If
necessary, round to the nearest
tenth.
X
90°
450
8
Answer:
Step-by-step explanation:
Please help with this question
Answer:
a) 50π cm^2
b) π/8
Step-by-step explanation:
a) The formula for the area of a semicircle is ...
A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2
For a diameter of 20 cm, the area is ...
A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle
__
The formula for the area of a quarter circle is ...
A = (1/4)πr^2
For a radius of 20 cm, the area is ...
A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle
__
The shaded area is the difference of the areas of the quarter circle and semicircle:
shaded area = (100π cm^2) -(50π cm^2)
shaded area = 50π cm^2
__
b) The ratio of the shaded area to the square area is ...
shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8
Find the distance between the points.
(4,6),(9,6)
Answer:
5
Step-by-step explanation:
Find the difference between coordinates:
(x²-x1) = (9 - 4) = 5
(y²-y1) = (6 - 6) = 0
Square the results and sum them up:
(5)² + (0)² = 25 + 0 = 25
Now Find the square root
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144
URGENT!!!!! LAST QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!URGENT!!!!!
16. Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
IF YOU REALLY LOOK YOU CAN SEE THE LETTERS BUT IN CASE HERE:
PIC BELOW ON THE LEFT TRIANGLE: A IS ON THE BOTTOM LEFT. B IS AT THE TOP, POINTY PART, C IS ON THE BOTTOM RIGHT
ON THE RIGHT TRIANGLE: D IS ON THE BOTTOM LEFT. E IS AT THE TOP, POINTY PART, F IS ON THE BOTTOM RIGHT
A) AC=DF
B) AB=DE
C) B=E
D) A=D
Answer: A) AC=DF
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
Answer A is the only one that wouldn’t help you prove that these triangles are congruent.
HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED
Answer:
B is the correct answer (Check the explanation below)
Step-by-step explanation:
Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)
Probability of boys who do not play =858/2451 = 0.35 or 35%
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%
Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%
Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%
you can see the correct statement is
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
total number of girls is 2996 and we found out almost 54% do not play and almost 45% play
Please does know the answer
Answer:
69.08 cm
Step-by-step explanation:
Volume of each container
= l*b*h
= 20cm*30cm*50cm
= 30000cm ^3
= 0.03 m^3
The volume of 200 of these containers
= 0.03*200
= 6 m^3
The volume of the tank is also equal to 6m^3
Volume of tank = πr^2h
πr^2h= 6
πr^2= 6/4
r^2 = 6/4*7/22
= 42/88
= 0.477
r= √0.477
= 0.6908m
= 69.08cm
Answer:
Base radius = 69.08 cm.
Step-by-step explanation:
Volume of each container = 20*30*50
= 30,000 cm^3
200 of these has a volume of
200 * 30000
= 6,000,000 cm^3.
The volume of the cylinder = π r^2 h
= π r^2 * 400 = 6000000
r^2 = 6000000 / (π * 400)
r^2 = 4774.65
r = 69.08 cm.
the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation
Answer:
Step-by-step explanation:
The work form of this upside down parabola is
[tex]y=-|a|(x-h)^2+k[/tex]
It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:
[tex]-6=-|a|(5-4)^2-3[/tex] and
[tex]-6=-|a|(1)^2-3[/tex] and
[tex]-6=-|a|1-3[/tex] and
[tex]-6=-|a|(-2)[/tex] and
3 = -|a|
Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.
Answer: The answer is -3!!!!!!!!!
Step-by-step explanation:
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer
Answer:
-72 + 4 = -68
help please i’ll give u brianliest
Answer:
I guess the answer is c.... I guess it must be c
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
DEFG is an isosceles trapezoid. Find the measure of 2 G.
Answer:
B
Step-by-step explanation:
In an isosceles trapezoid the upper base angles are congruent, thus
∠ G = ∠ D = 121° → B
Answer:
121
Step-by-step explanation:
i took the quiz
what is a listed method in mathematics
Answer:
Listing method is a method to list all the elements separating each element by the comma and enclosing
Step-by-step explanation:
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation