Step-by-step explanation:
Step one:
mass of Freight car=25tons
the rate of filling is 1/3 ton per minute
let the time taken to fill the freight car be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=25+1/3x----------1
mas of dump truck=55tons
rate of being emptied= 1/6 tons per minute
let the time taken to empty the dump truck be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=55-1/6x----------2
Step two:
equating equations 1 and 2,
1. The tucks will weigh the same in
55-1/6x=25+1/3x
collect like terms
55-25=1/3x+1/6x
30=(2+1/6)x
30=3/6x
30=1/2x
30=0.5x
x=30/0.5
x=60min
or
1 hour
The tucks will weigh the same in 60minutes(1 hour)
2. How much coal will be in each truck when they weigh the same?
For the train freight car, the weight after 60 minutes is
y=25+1/3(60)
y=25+20
y=55tons
55-25=20tons
There will be 20tons
For the dump truck, the weight after 60 minutes is
y=55-1/6(60)
y=55-10
y=45tons
55-45=10tons
There will be 10tons
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Find the value of x in the triangle shown below.
x = ___°
2x+7y=4 −2x−8y =−2
Answer:
-y = 2.
Step-by-step explanation:
2x + 7y= 4
- 2x – 8y = -2
Adding we eliminate x because 2x + -2x = 0:-
0 - y = 4 + -2
-y = 2.
A wooden cube has a volume of 216 cubic centimeters. What is the length of one side of the cube?
Answer:
6
Step-by-step explanation:
In order to calculate length of one of the side we would need to find the cube root. The cube root of 216 would be 6 as 6*6*6 would be 216
Answer:
6
Step-by-step explanation:
The volume of a cube is length squared.
The square root of 216 is 6, therefore the length is 6 centimeters.
Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.
Answer: the answer is $456 and that is correct
Step-by-step explanation:
152×3= $456
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
Problem
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.
Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
18 litresStep-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
The town of Simpsonville has two tow truck companies. Company A charges an initial fee of $30 plus $2 per mile. Company B charges an initial fee of $20 plus $4 per mile. Use the graph to determine when it's cheaper to use Company B instead of Company A. Question 11 options: A) Towing 5 miles
Answer:
What are the other options? Any option with a number of miles less than 5 is right
Step-by-step explanation:
Answer:underlined and bold is answer!!
A)
Towing 5 miles
B)
Towing more than 5 miles
C)
Towing more than 5 miles but less than 15 miles
D)
TOWING FEWER THAN 5 MILES
Step-by-step explanation:
50 POINT QUESTION ANSWER PLEASE!!!!
Answer:
A=Height squared x base divided by 2
Step-by-step explanation:
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
Answer:
$7.25 at part-time job $9.00 every time lawn mowed so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.Some animals on farms eat hay to get energy. A horse can eat 20 pounds of hay each day. Write and evaluate an expression to find how many pounds a group of 17 horses can eat in two weeks.
Answer:
The amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
Step-by-step explanation:
It is provided that a horse can eat 20 pounds of hay each day.
There is a group of 17 horses.
Compute the amount of hay these 17 horses can eat in 2 weeks as follows:
[tex]\text{Total amount of hay} = 20 \times \text{Number of days} \times \text{Number of Horses}[/tex]
[tex]=20\times 14\times 17\\\\=4760[/tex]
Thus, the amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
2) Five and one-half feet is
equal to how many inches?
Answer:
66
Step-by-step explanation:
what is x times x times y times y plz
Answer:
im sorry if im wrong but im sure its xy
Step-by-step explanation:
Answer: x^2y^2
Step-by-step explanation:
x*x=x^2
y*y=y^2
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answer:
x=7+√15
x=7-√15
Step-by-step explanation:
Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answer:
a. true
b. false
Step-by-step explanation:
Todd is traveling to Mexico and needs to exchange 400 US dollars into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?
6
Lisa wrote 10 letters on 10 slips of paper. She put the slips of paper in a hat to be randomly selected. The table below
shows the probability for each letter to be randomly selected,
Letter Probability
A
0.2
С
0.2
E
0.3
L
0.1
R
0.1
T
0.1
Which event is most UNLIKELY to occur?
A
A consonant at the beginning of the alphabet is chosen
B The letter A or T is chosen.
C A vowel near the beginning of the alphabet is chosen
D A consonant is chosen.
Am I right
Answer:
b
Step-by-step explanation:
Event is most UNLIKELY to occur is L, R and T. Therefore, option D is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, Lis
Lisa wrote 10 letters on 10 slips of paper.
If the event is “likely” to happen, the probability will be between 1/2 and 1.
If the event is “unlikely” to happen, the probability will be between 0 and 1/2.
From the table,
Probability of getting letter L, R and T is 0.1
Therefore, option D is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Which factors of 18 are also factors of 36?
Answer:
21
Step-by-step explanation:
:) ur welcome its not rlly the answer btw
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
2. Manakah yang merupakan PLSV? Jelaskan!
a. 2x + 5 25
b. y + 10 = 7
C. x+3y = 12
d. x + 2 = 10
Step-by-step explanation:
10 -3 10+3*-3= 12 x=10-8=6
Anyone willing to help? Surprise included
Answer:
An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference, d.
A geometric sequence has a constant ratio (multiplier) between each term.
An example is: 2,4,8,16,32,…
So to find the next term in the sequence we would multiply the previous term by 2.
This is called the common ratio, r.
These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.
We can create a decreasing arithmetic sequence by choosing a negative common difference.
Similarly, a decreasing geometric sequence would have a common ratio of less than 1.
Step-by-step explanation:
Solve the absolute value equation. Graph the solution. |x-3|=1
Answer:
4
Step-by-step explanation:
hihihihihihihihihihi
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
h - 15 = -22
Help please
Answer:
-7
Step-by-step explanation:
H - 15 = -22
H= -22+15
H= -7
Value of H is -7
Answer:
- 7
Step-by-step explanation:
h - 15 = - 22
h = 15 - 22
h = - 7
Thus, The value of h is - 7
-TheUnknownScientist
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)
Answer:
y=1/4x
Step-by-step explanation: in image below
What is the measure of Z PRQ?
62°
108°
P.
N
R
For which function will both ordered pairs (3,6) and (4,8) be solutions?