Speed is the rate of change of distance over time
It takes Rohit 2 hours to cover the same distance
How to determine the timeRepresent Rajeev with A, and Rohit with B
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
Rohit covers 1/6 of the distance between point AB
So, we have:
[tex]S_B = \frac{AB/6}{T_B}[/tex]
Make T the subject
[tex]T_B = \frac{AB/6}{S_B}[/tex]
[tex]T_B = \frac{AB}{6S_B}[/tex]
Rajeev's speed is twice that of Rohit.
So, we have:
[tex]S_A = 2 * S_B[/tex]
[tex]S_A = \frac{AB}{T_A}[/tex]
So, the time taken by Rajiv to cover 1/6 of the distance is:
[tex]T_A = \frac{AB}{12S_B}[/tex]
The difference between the time is given as 1.
So, we have:
[tex]\frac{AB}{6S_B} - \frac{AB}{12S_B} = 1[/tex]
Multiply through by 12SB
[tex]2AB - AB = 12S_B[/tex]
[tex]AB = 12S_B[/tex]
Recall that:
[tex]T_B = \frac{AB}{6S_B}[/tex]
So, we have:
[tex]T_B =\frac{12S_B}{6S_B}[/tex]
[tex]T_B = 2[/tex]
Hence, it takes Rohit 2 hours to cover the same distance
Read more about speed at:
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Mandy and Joshua work together on Market Day at their school. They split the profit according to the ratio 2 : 3 respectively. They make a profit of R825.Calculate the amount Mandy will receive.
Answer:
R330
Step-by-step explanation:
2 + 3 = 5
5x = 825
2x = 825 x 2/5
825 x 2 = 1650
1650/5 = 330
Mandy makes R330.
Mandy's share from the profit is R495
Data;
Profit = R825ratio = 2:3RatiosThis is the portion shared between two or more entities in a definite proportion.
To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.
[tex]2 + 3 = 5\\\frac{3}{5} * 825 = 495[/tex]
Mandy's share from the profit is R495
Learn more on ratio here;
https://brainly.com/question/2914376
HELP ME PLEASE
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8400ft, the liquid boils at 202.92°F. At an altitude of 4400ft, the liquid
boils at 207.72°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the
liquid at 2200 ft?
Answer:(a) getting the equation:
We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.
Therefore, we have two given points:
(8400 , 200.4) and (4200 , 206.7)
Since the relation is linear, therefore, the graph forms of straight line with the general equation:
y = mx + c where m is the slope and c is the y-intercept.
First, we will calculate the slope:
m = (y2-y1) / (x2-x1) = (206.7 - 200.4) / (4200 - 8400) = -0.0015
Therefore, the equation of the line now is:
y = -0.0015x + c
Then, we will need to calculate the y-intercept. In order to do so, we will use any give point and substitute in the previously obtained equation as follows:
y = -0.0015x + c
206.7 = -0.0015(4200) + c
c = 213
Based on the above calculations, the equation of the line is:
y = -0.0015x + 213
(b) getting the boiling point at altitude = 2100 ft:
Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:
y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit
Step-by-step explanation:
7, 11, 2, 18. What number continues the pattern?
Answer:
-7
Step-by-step explanation:
Seems like the pattern is adding and then subtracting the next square number up:
7 + 4 = 11
11 - 9 = 2
2 + 16 = 18
so 18 - 25 = -7 is the next number
Evaluate the expression for h=-54.
|h| + 30=
1. Observe problem
2. Plug in values
|-54|+30=
54+30=
84
please answer, i don't know how to solve them. please and thank you
Answer:
C or 260.48
Step-by-step explanation:
Find area of both triangles:
20*16/2/2*2=160
Find area of circle;
pi*r*r/2= area of circle
d/2=r
16/2=8
pi*8*8/2 is about 100.53
160+100.53=260.53
Type one thoughtful paragraph to the following prompt
Answer:
The exponent is different from each other. One exponent is 3/4 and the other is 2/4. These make the value different.
Step-by-step explanation:
Solve for x.
5(x−3 3/4)=7 1/2
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x= 21/4
Step-by-step explanation:
1- Convert the expressions
5 ( x - 3 3/4 ) = 7 1/2
2- Remove the parentheses
5 ( x - 15/4 ) = 15/2
3- Move the constant to the right
5x - 75/4 = 15/2
4- Calculate the sum
5x = 15/2 + 75/4
5- Divide both sides
5x = 15/2 + 75/4
tell me the answer pls I'll give brainliest
Answer:
Reflection across y
Step-by-step explanation:
Y is the line up and down. Each shape is a reflection of each other across this line.
Donna went for a drive in her new car. She drove at a speed of 53 miles per hour for 169.6 miles . For how many hours did she drive?
[tex]\tt v=\dfrac{d}{t}[/tex]
[tex]\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h[/tex]
What is the solution for the equation
Answer:
b = 0b = 4Step-by-step explanation:
[tex] \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ [/tex]
b = 0 or b - 4 = 0
b = 0
b = 4
Solve 4/5 + 3/15 - 2/3
Answer:
1/3
Step-by-step explanation:
PLEASE HELP THIS IS FOR MY MATH PROJECT
A family with 3 adults and 3 children purchase 6 lines each for $35 at ATT. Another family with 2 adults and 4 children purchase 6 lines each for $25 at A-Mobile. How much will the adults’ lines cost at both companies?
we had to come up with our own systems and this is the word problem i chose. does it work?
Answer:
Multiplying the lines and the cost.
Step-by-step explanation:
35$ times 6 is 210. 25$ times 6 is 150. This is the cost of both companies.
-4 2/3 divided by 1 5/9
Show work
let's firstly convert the mixed fractions to improper fractions and then divide them.
[tex]\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} ~\hfill \stackrel{mixed}{1\frac{5}{9}}\implies \cfrac{1\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{14}{9}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{3}\div\cfrac{14}{9}\implies -\cfrac{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\cdot \cfrac{9}{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{9}{3}\implies -3[/tex]
Answer:
-3
Step-by-step explanation:
Lets convert 4 2/3 to an improper fraction
-(4 * 3/3 + 2/3)/1 5/9
Combine 4 and 3/3
-(4 * 3/3 + 2/3)/1 5/9
Combine numerator over denom
-4 * 3 + 2/3/1 5/9
Simplify numerator
-12 + 2/3/1 5/9
Add 12 and 2
-14/3/1 5/9
Now we convert 1 5/9 to an improper.
-14/3/(9/9) + (5/9)
Combine
-14/3/(9 + 5)/9
Add 9 and 5
-14/3/(14/9)
Multiply yhe numerator by the reciprocal of the denom
-14/3 * 9/14
14(-1)/3 * 9/14
-1/3 * 9
Cancel the common factor of 3
-1/3 * (3(3))
-1 * 3 = -3
HELP! How do I complete this table?
Answer:
6 1/2
Step-by-step explanation:
i don't know the rest but I know that that one might be 6 1/2
What is the factorization of the polynomial below ? 16x2 -9
Answer:
(4x + 3)(4x - 3)
Step-by-step explanation:
I am going to assume by 16x2 -9 you mean 16x² - 9
The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.
First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.
( + 3)( - 3)
Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².
(4x + 3)(4x - 3)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?
pls give explanation and working out.
thnx :)
PLEASEEE ASAP! I WILL CHOOSE BRAINLIST! I HAVE 5 MORE MATH QUESTIONS! Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice
Answer:
c = ?
j = 13 bottles
c × j = $9.23
c = $9.23 ÷ j
= $9.23 ÷ 13
= $0.71 / 71 cents
Answer:
$0.71
Step-by-step explanation:
If c x j = $9.23 and j is 13, then c is $9.23/13
$9.23/13 = $0.71
=$0.71
please solve
-10 + (-2)
step by step please!
Answer:
-12
Step-by-step explanation:
-10 + (-2)
-10 - 2
Answer: -12
Answer:
-12is the answer,hope it will help you.
[tex]=-10+(-2)\\=-10-2\\=-12[/tex]
Math Help Help Fast Alot of points
Here mark the angles
m<FHG=75m<FGH=55m<GHI=59°m<GIH=63°By using angle sum property
m<IGH=180-122=58So
m<FGH < m<IGH <m<GHI <m<GIH <m <FHGSo
FH<IH<GI<GH<FGAnswer:
IH < GI < GH < FH < FG
Step-by-step explanation:
Find missing angles
Sum of interior angles of a triangle = 180°
⇒ ∠GFH = 180 - 55 - 75 = 50°
⇒ ∠IGH = 180 - 59 - 63 = 58°
Side lengths in relation to interior angles
The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.
Therefore, angles/sides in order of least to greatest:
ΔIGH
∠IGH = 58 → its opposite side is IH
∠GHI = 59 → its opposite side is GI
∠G|H = 63 → its opposite side is GH
Therefore, IH < GI < GH
ΔFGH
∠GFH = 50 → its opposite side is GH
∠FGH = 55 → its opposite side is FH
∠FHG = 75 → its opposite side is FG
Therefore, GH < FH < FG
Combining: IH < GI < GH < FH < FG
If a dairy has 8 gallons of milk to sell and they package the milk in quarts, how many quarts will they have to sell?
Answer:
32 quarts
Step-by-step explanation:
1 gallon = 4 quarts
⇒ 8 gallons = 8 x 4 = 32 quarts
Answer:
32 quarts
Step-by-step explanation:
Khan
Leandro has a piece of fabric that is 56 centimeters long and 6 centimeters wide. He cuts it into pieces that are 8 centimeters long and 2 centimeters wide
Answer:
so therefore the final answer will be 16
Evaluate the expression. 12 (6) + 1/4 2² = what?
Find the area of the shaded region.
Answer:
SOLUTION,
HERE,
Area of whole fig= l×b
=5×15
=75 sq.in
Area of unshaaded part=l×b
=3×8
=24 sq.in
Area of shaded part=(Area of whole fig)-(Area of unshaded part)
=75-24
=51 sq.in
hope it helps u :)
5-2y+7y1-2-1
Need major help got school tmr need help
I got 5y-2 and they said it was wrong he’ll
Answer:
5y + 2
Step-by-step explanation:
5 - 2y + 7y - 2 - 1
5 - 2 - 1 - 2y + 7y
2 + 5y
Hope it helps ⚜
Solve the following equation
Answer:
n = -13
Step-by-step explanation:
38 = -2n + 12
Subtracting 12 from both sides:
==> 38 - 12 = -2n + 12 - 12
==> 26 = -2n
multiplying both sides by (-1):
==> -26 = 2n
dividing both sides by 2:
==> -13 = n
Answer:
Step-by-step explanation:
38 = -2n + 12
26 = -2n
n = 26 : (-2)
n = -13
-----------------
check
38 = -2 * (-13) + 12
38 = 26 + 12
38 = 38
the answer is good
If y varies directly as x and z, y=108 when x=8 and z=3 find y when x =2 and z=1
A sociologist sat married couples down in her office and asked some survey questions for her statistical study on marriage. The first married couple was Bonnie and Clyde. Bonnie sat down next to her husband while the sociologist sat across the table from them both. The sociologist asked each the question, if you could return to the past, would you marry your spouse all over again?" This was continued for several other married couples. This is not a good way to conduct this survey and most likely will not give representative results of all married couples. Why not?
Answer:
Step-by-step explanation:
I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.
Why hurt her feelings?Why lock her answer in? As soon as she hears my answer, she knows what her answer needs to be. Or she's pressured into giving that answerBecause the answer is so likely to be the same way, how would this question pick up on the couples that despise each other?MODELING WITH MATHEMATICS The Uniform
Federal Accessibility Standards specify that a
wheelchair ramp may not have an incline greater
than 4.76°. You want to build a ramp with a vertical
rise of 8 inches. You want to minimize the horizontal
distance taken up by the ramp. Draw a diagram
showing the approximate dimensions of your ramp.
The length of the ramp is 96.5
SOH CAH TOA identityGiven the following parameters from the question
The vertical rise of the ramp = 8 inches
The angle of elevation = 4.76°.
Required
length of the ramp
Using the SOH CAH TOA identity;
tan theta = opp/hyp
sin4.76 = 8/H
H = 8/sin4.76
H = 8/0.0829
H = 96.5
Hence the length of the ramp is 96.5
Learn more on SOH CAH TOA here; https://brainly.com/question/20734777
chanda wants to put 150 square metres of garden at her backyard. This is the maximum area of garden she can have. She wants to have a rectangular area of garden with length one metre less than 3 times with the width. Find the length and width to the nearest tenth of a metre
Answer:
length: 20.7 mwidth: 7.2 mStep-by-step explanation:
Let x represent the width of the garden. Then its length is 3x-1 and its area is ...
A = LW . . . . . . . . . . . . area of a rectangle is length times width
A = (3x -1)(x) = 150
3x^2 -x = 150
x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square
x -1/6 = √(50+1/36) . . . . . . . . . take the square root
x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden
The length will be ...
3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191
To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.
help soon!!!! tysm!!!
[tex]36-b ^ { 2 } -c ^ { 2 } +2bc\\= 36-\left(b^{2}+c^{2}-2bc\right) \\= 6^{2}-\left(b-c\right)^{2} \\=\boxed{ \left(6-b+c\right)\left(6+b-c\right) }[/tex]
Hope it helps ⚜