Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?
Answer:
good
Step-by-step explanation:
calculate it on alculator
(a) 12 is 15% of what?
Reflect triangle ABC over the x-axis. Then translate the new triangle 5
units to the left. What are the coordinates of the vertices of the final image?
Answer:
The coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Step-by-step explanation:
Given the triangle with the vertices
A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.Thus,
The rule of reflection across the x-axis:
(x, y) → (x, -y)
so
A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)
B(-2, 2) → B'(-2, -2) = B'(-2, -2)
C(5, 2) → C'(5, -2) = C'(5, -2)
Then, translate the new triangle 5 units to the left
Rule of translating 5 units to the left
(x, y) → (x-5, y)
so
A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)
B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)
C'(5, -2) → C''(5-5, -2) = C''(0, -2)
Therefore, the coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Answer: b
Step-by-step explanation:
A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer
Answer:
3
Step-by-step explanation:
Solve using inverse operations. Show your work. 3(-n + 4) + 5n = 2n
Answer:
no solution
Step-by-step explanation:
-3n + 12 + 5n = 2n
subtract 2n from both sides to get all the n’s on one side
-3n - 2n + 5n + 12 = 0
Combine n’s Which actually cancel themselves out. This leaves
12 = 0
12 can never equal 0 so there is no solution.
Please give me the correct answer
Answer:
i dont think so.
Step-by-step explanation:
HELP NOW
Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.
Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
Find the value of x.
Step-by-step explanation:
the 3rd angle is 60 degrees
as it is an equalateral triangle, all the sides are equal. So we can say that
7x + 19 = 11x - 89
89 + 19 = 11x-7x
108 = 4x
x = 108/4
x = 27
2000x5000000000000000000000000000
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
A passenger train has 812 people seated. Eachtrain cars seat 70 people. How many train cars are filled? How many people are in car not full?
Answer:
10000sksiiwiwisisis
Any help please I appreciate it
Answer:
VW = 23
Step-by-step explanation:
Since VU is 31 and part of it (WU) is 8, the remaining (VW) would be 31-8 = 23.
Answer:
23
Step-by-step explanation:
vw= vu-wu
vw=31-8
vw=23
Which inequality describes all the solutions to 5(3 – x) < -2x + 6?
Answer:
3 < x
Step-by-step explanation:
1. Use distributive property for 5(3-x)
2. add x to each side
3. subtract 6 from 15
4. divide 3 from 9
3 < x
Solute 3x+5=4x in step by step form please
Final Answer: [tex]x = 5[/tex]
Steps/Reasons:
Hey there!
Step 1: Subtract [tex]3x[/tex] from both sides.
[tex]5 = 4x - 3x[/tex]
Step 2: Simplify [tex]4x - 3x[/tex] to [tex]x[/tex].
[tex]5 = x[/tex]
Step 3: Switch Sides.
[tex]x = 5[/tex]
~I hope I helped you :)!
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide. Compare the estimates to the exact perimeter.
Compare the estimates to the exact perimeter.
The estimate using measurements rounded to the nearest whole number is closer to the exact perimeter.
The estimate using measurements rounded to the nearest tenth is closer to the exact perimeter.
The two estimates are equally close to the exact perimeter.
Neither estimate is close enough to the exact perimeter to be useful.
Answer:
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
use the coordinates of the labeled points to find the point slope equation of the line (3, -5)
Answer: y + 5 = -3(x-3)
Step-by-step explanation:
Please help me asap!!!
Answer:
[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]
Step-by-step explanation:
Given
Stores and Parking Lots
Required
Determine the area as a sum of area of stores and area of parking lots
First, calculate the area of the stores
The dimension of store A is: 25 by 10
The dimension of store B is: 25 by w
The dimension of stores A and B (as an entity) is: 25 by 10 + w
The area is then calculated as:
[tex]Area = 25 * (10 + w)[/tex] -------- A1
Next, calculate the area of the parking lots
The dimension of parking lot A is: 13.5 by 10
The dimension of parking lot B is: 13.5 by w
The dimension of parking lots A and B (as an entity) is: 13.5 by 10 + w
The area is then calculated as:
[tex]Area = 13.5 * (10 + w)[/tex] -------- A2
The area of the shopping center is then calculated as:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]
Could I get help on this it’s important!!!
Answer:
-14, -4, 16, 21, 26
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
Paco buys a total of 15 pencils and markers for $ 11.15. Each pencil costs $ 0.30. Each marker costs $ 1.25
Answer: Paco bought 7 markers and 8 pencils.
Step-by-step explanation:
Let's define the variables:
P = number of pencils that Paco bought
M = number of markers that Paco bought.
We know that P + M = 15.
We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15
Then:
P*$0.30 + M*$1.25 = $11.15
Then we have the system of equations:
P + M = 15
P*$0.30 + M*$1.25 = $11.15
To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.
P = 15 - M
Now we can replace this in the second equation to get:
(15 - M)*$0.30 + M*$1.25 = $11.15
$4.50 - M*$0.30 + M*$1.25 = $11.15
$4.50 + M*$0.95 = $11.15
M*$0.95 = $11.15 - $4.50 = $6.65
M = $6.65/$0.95 = 7
Then paco bough 7 markers, and we can find the number of pencisl by the equation:
P + M = 15
P = 15 - M = 15 - 7 = 8
Then Paco bought 7 markers and 8 pencils.
Last month Maria worked 150 hours. Her friend, Sara, suggested that this month Maria should work 15% more hours than she did last month so she can save for Christmas gifts. If Maria takes Sara’s advice, how many hours will Maria work this month?
Answer:
Step-by-step explanation:
So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5
since it is 15% more than 150. Sorry if this is not very understandable,
incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)
Which similarly proves the two triangles are similar?
Answer:
If their angles are the same, if they are proportional, if it states so
Step-by-step explanation:
I don't see the image you sent, but just naming different things that proves how triangles are similar.
How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please
========================================================
Explanation:
Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.
Similarly, AD = DC = 60 ft.
The total length traveled is:
AB+BC+CD = 70+70+60 = 200 ft
We never use BD = 50 at all.
Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.
You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.
150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
What is the product of 60?
Answer:
the product of 60 is 5×3×2×2
The cost of gasoline varies directly with the number of gallons bought. If
4 gallons of gasoline cost $16.80, find the cost of 15 gallons.
Help please!
Answer:63 dollars 16.80÷ 4 = 4.20 4.20 × 15 = 63
Step-by-step explanation:
what is y= -5/4x+6 on a graph
I tried mathaway but it's not helping
Answer:
6.oz and all other things are going on
Step-by-step explanation:
its been a few weeks and I've just got back to
Find the slope of regular AB, and make sure you reduce the fraction to simpelist form
Please help ASAP !! I’ll give brainleist
Answer:
x=12
y=9
Step-by-step explanation:
Since the two triangles are equal, the hypotenuse of each are equal as well, meaning 2x is equal to x+12. 2 times 12 equals 24, and 12+12 also equals 24.
the shorter sides are also equal to each other, so (y+5) equals (2y-4). 9+5 equals 14, and 2 times 9 minus 4 also equals 14.
a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performed on it
Answer: It would be a Constant variable.
Hope this helps!