Someone help:
1 Asalesman leaves home at 0800 and travels for 13 hours at an average
speed of 60km/h. He then stops for 30 minutes. He continues for 2 more
hours at 50km/h and stops for 1 hour. He then returns home and arrives
home at 1600.
a) Show this in a travel graph.
b) Calculate his average speed for his return journey.
Answers
Answer:
a) Please find attached the required travel graph with times increasing from (0:00) of the day of travel to the following day
b) The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h
Step-by-step explanation:
The given information includes;
The time of departure of the salesman, t₁ = 0800
The duration of travel of the salesman = 13 hours
The average speed with which the salesman travels = 60 km/h
The time duration in which he stops = 30 minutes
The speed with which he continues = 50 km/h
The time duration he travels at 50 km/h = 2 hours
The time he arrives home after he turns, t₂ = 16:00
The appropriate graph is a distance time graph
So as to show the given information in a travel graph, we calculate the distances as follows;
Time [tex]{}[/tex] Location
08:00 [tex]{}[/tex] 0
08:00 + 13 = 21:00 [tex]{}[/tex] 13 × 60 = 780
21:00 + 0.30 = 21:30 [tex]{}[/tex] 780
21:30 + 2:00 = 23:30 [tex]{}[/tex] 780 + 50 × 2 = 880
23:30 + 1:00 = 0:30 (24: hours ) [tex]{}[/tex] 880
16:00 [tex]{}[/tex](40 hours from 0:00 the previous day)
Therefore, we have;
Location; 0, 780, 780, 880, 880, 0
Time; 08:00, 21:00, 21:30, 23:30, 24:30, 40:00
To show the distance traveled over the given time periods graphically, we let 00:30 = 24.30 and the arrival time (the next day) 16:00 = 40.00 hours after midnight (0:00) the previous day
Please find attached the required travel graph created with Microsoft Excel
b) The average speed of return journey = (Total distance of return journey)/(Total time)
The total distance going = 880 km
Therefore the return journey is also 880 km
∴ The total time taken on return journey Δt = (Time at arrival home) - (Time of start of return journey)
∴ Δt = 40 - 24.5 = 15.5
Δt = 15.5 hour
∴ The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h.
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Answers
Answer:
14
Step-by-step explanation:
evaluate multiplication first
14
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Select the equation written in standard form.
A) x+y=3
B) none of the other answers are correct
C) y=3×+7
D) y+7=×
E)×=2+3y
Answers
Answer:
c
Step-by-step explanation:
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Alex, Susan and Amy shared 66 watermelons. The number of watermelons owned by Alex is two times the number of watermelons owned by Susan, while Amy has 6 more than Susan. Find the ratio of the number of watermelons owned by Susan to the number of watermelons owned by amy.
Answers
Answer:
5:7
Step-by-step explanation:
First you have to find the watermelons owned by the three of them.
Let's take Susan as 'x'
According to the question:
1. Alex has twice the watermelons as Susan -> 2x
2. Amy has 6 more watermelons than Susan -> x+6
The sum of the watermelons is 66
SO,
x + 2x + x + 6 = 66
4x = 60
x = 15
Susan has 15
Alex has 30
and Amy has 21
Now we do the ratio:
Susan : Amy
15 : 21
5 : 7
If abc avw find the values of x and y
Answers
Answer:
x=7.2 y=7.5 this is the answer
help me w this pls pls pls
Answers
Answer:
48
Step-by-step explanation:
2500 - 196 = [tex]x^{2}[/tex]
x = 48
Please mark as brainliest for future answers :)
Giant pandas can spend up to 16 hours a day eating bamboo. How many minutes per day is this? Hint: 1 day = 1440 minutes
Answers
Answer:
960 minutes
Step-by-step explanation:
If there are 24 hours a day with 60 minutes then there are 1440 hours a day.
There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]
it is 690 minutes per 16 hours
use the substitution method to solve
3x + 2y=12
y=2x -1
Answers
Answer:
1. y=2
2. y= - 2
Step-by-step explanation:
Thats my answer hope it helps
Answer:
the solution is : (2 , 3)
Step-by-step explanation:
hello : here is an solution
3x + 2y=12.....(*)
y=2x -1.....(**)
put the value for y in (*) :
3x + 2(2x-1)=12
3x+4x-2 = 12
7x =14
so : x =2
but : y=2x -1
y =2(2)-1 = 3
the solution is : (2 , 3)
Cann someone pls pls help me with this one ignore the bottom question it was in the way.
Answers
Answer:
r=-24
Step-by-step explanation:
Step1: Add 4 to both sides
-2r - 4 + 4 > 44 + 4
-2r > 48
Step 2: Divide both sides by -2
-2r/ -2 > 48/ -2
r < -24
Use the quadratic formula to solve the equation.
4x2 - X+ 3 = 0
Answers
Answer:
X=11
Step-by-step explanation:
4 x 2 - X + 3 = 0
multiply 4 x 2
=8
subtract the 3 and 8 to the other side which will made it
-X = -11
and this can be divided by a negative so the answer will be
X = 11
Find the surface area of each figure. Round to the hundredths place when necessary.
Answers
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.
Answers
Answer: 15
Step-by-step explanation:
The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15
The radius of the inflated beach ball is equal to 58 inches.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given: The volume of the sphere is 14,310 inches³
we know the volume of the sphere is 4/3 πr³
Thus equating we get
4/3 × 3.14×r³=14310
r³=3417.99
r³=3418
r=58.463 or 58 (approx)
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https://brainly.com/question/2855746
#SPJ6
6 ( x/2 + 4) ≥ 9 hey guys whats the answer please
Answers
Answer: x ≥-5
Step by step:
6(1x+4) ≥9
2
^
(Fraction)
3x +24 ≥9
3x ≥9-24
3x ≥-15
End answer: x ≥-5
I need help with this question,im stuck.
Answers
Answer:
4
Step-by-step explanation:
ration of rectangle ABCD to EFGH=> 24 : 12=> 2 : 1
2 : 1 = 8 : FG
=> FG = 4
What is the solution to the system of equations above?
Answers
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
please help me !!!!! :(
Answers
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Fraction 3rd row: 75%
Decimal last row: 0.15
Fraction last row: 15%
Answer:
75%, 0.75
Step-by-step explanation:
The answer is 75% because if you do the math it takes 6 15's to reach the requirement of the Fraction that is on the right. So that would make the decimal form be 0.75. If you find any fault in my answer let me know. Thanks. Have a good day!
(3a+1)^{2} -4a^{2} +4a-1
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Answers
Answer:
5a(a + 2)
Step-by-step explanation:
Given
(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL
= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms
= 5a² + 10a ← factor out 5a from each term
= 5a(a + 2)
The function y= 15.35 (1.0279)^t represents the value y(in dollars) of a share of stock after t days. Identify the initial amount and determine the growth or decay rate.
Answers
9514 1404 393
Answer:
initial amount: $15.35growth: 2.79% per dayStep-by-step explanation:
The coefficient is the initial amount: $15.35.
The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.
There u go hehehehewh full question
Answers
Factorizar Sumas de cubo
1) 8x³ + 1
2) 27a³ + b³
3) 8x³ + 1,000
Answers
[tex] \huge{\mathbb{{ANSWERS}}}[/tex]
1.) 8x³ + 1
[tex] \underline{ \tt{{(2x + 1) \times (4 {x}^{2} - 2x + 1)}}}[/tex]2.) 27a³ + b³
[tex] \underline{ \tt{{(3a + b) \times (9{a}^{2} - 3ab + {b}^{2})}}}[/tex]3.) 8x³ + 1,000
[tex] \underline{ \tt{{8(x + 5) \times ( {x}^{2} - 5x + 25)}}}[/tex]Note: My anwer is base on my knowledge
Hopefully Help:)
#CarryOnLearning_MafiaQueen4
please help me and no links this is due in 10 mins ill give you the crown
Answers
Answer:
angle Q is 68°
angle R is 112°
Help?!!!!!!!!!!!!!!!!!
Answers
Answer:
A.
Step-by-step explanation:
Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!
Please mark me as brainliest!Find the surface area of a square pyramid with side length 6 yd and slant height 6 yd.
Answers
Answer:36
Step-by-step explanation:
.
Buffalo Chicken Dip calls for ¾ cup of buffalo sauce and serves 12 people. If I am having 30 people over for a party, how much buffalo sauce will I need for my recipe?
Answers
Answer:
15/8 cup or [tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
3/4 = 0.75
Ratios:
[tex]\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8[/tex]
Answer:
[tex]\frac{15}{8}[/tex] cup
This can also be expressed as the following:
[tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,
[tex]sauce (cups) : people (number)[/tex]
Substitute in the given values, since one knows the units, it is unnecessary to write it,
[tex]\frac{3}{4}:12[/tex]
In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.
[tex]\frac{3}{4} : 12 = x : 30[/tex]
Use cross products to simplify,
[tex](12)(x)=(\frac{3}{4})(30)[/tex]
Simplify,
[tex]12x=\frac{45}{2}[/tex]
Inverse operations,
[tex]12x = \frac{45}{2}[/tex]
Multiply both sides by (2)
[tex]24x=45[/tex]
Divide both sides by (24),
[tex]x=\frac{45}{24}[/tex]
Simplify,
[tex]x=\frac{15}{8}[/tex]
Correct Answer Gets Brainliest + 15 points. (please help)
Answers
Answer:
74,650
Step-by-step explanation:
270 times 400 and 125 times 400 - 83,350 = 74,650
Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?
thousands
tens
tenths
thousandths
Answers
Hope it’s right
What is the surface area of the cone? Express your answer in terms of π.
Answers
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
Answer:
If you want just the area of the circle (the surface area) then it is 78.5
Step-by-step explanation:
radius=5
[tex]5^{2} =25[/tex]
π=3.14
25×3.14= 78.5
Round the number to the nearest tenth.
5.19
Hint: Do not leave a zero in the
hundredths place.
Answers
rounded to the nearest tenth!
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Answers
Answer:
180- 20
Step-by-step explanation:
A straight line is 180 therefore the piece that is cut off has to be subtracted from 180. 20 is the cut off piece. 180-20= 160
please help, i got a 0% ! screenshot of the assignment is attatched
Answers
Answer:
24 units squared
Step-by-step explanation:
Remember, it's the surface area: count the squares that are in the shape. 24 is the answer.
Answer:
24
Step-by-step explanation:
A=6a2 is the formal you need to salve for the aria of a cube
Round off 2876.987 to nearest unit.
pls answer
Answers
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