Answer:
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
Hence,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
Step-by-step explanation:
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?
Speed = Distance/Time
Distance = Speed × Time
Let the time
An Eastbound train = (E)
A Westbound train = (W)
E + W = 4 hours ....... Equation 1
95mph × E + 110mph × W = 400 miles
95 E + 110W = 400 miles ......Equation 2
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
E = 4 - W
We substitute 4 - W for E in Equation 2
95 (4 - W) + 110W = 400
380 - 95W + 110W = 400
Collect like terms
95W - 110W = 400 - 380
15W = 20
W = 20/15
W = 1.3333333333 hours
≈ 1.33 hours
E = 4 - W
E = 4 - 1.33 hours
E = 2.67 hours
Therefore,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
HELP
Solve y – 18 = –3.
Answer:
y = 15
Add 18 to both sides to cancel out the negative next to the y
Answer:
y=15
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-18-(-3)=0
y-15 = 0
Add 15 to both sides of the equation :
y = 15
Find the slope using the formula.
(-2,-9) and (-6,-6)
Answer:(3,-4) you just have to follow the equation.
Slope = change in y over change in x.
Slope = (-6 - -9) / (-6 - -2)
Slope = (-6 + 9) / (-6 + 2)
Slope = 3/-4
Slope = -3/4
Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
Answer:
96
Step-by-step explanation:
1200*92=110400/100=1104
1200-1104=96
Answer:
1152 students like rap just take the numbers n divide
Evaluate the function for x = 2,3,4
F(x) =2x-7-3
Answer:
below in bold
Step-by-step explanation:
f(x) = 2x - 7 - 3
~Combine like terms
f(x) = 2x - 10
When x = 2...
f(x) = 2(2) - 10
f(x) = 4 - 10
f(x) = -6
When x = 3...
f(x) = 2(3) - 10
f(x) = 6 - 10
f(x) = -4
When x = 4...
f(x) = 2(4) - 10
f(x) = 8 - 10
f(x) = -2
Best of Luck!
Please help geometry find the solution
Answer:
Directions Unclear:
Step-by-step explanation:
I am now drowning on air.
Answer:
ok
Step-by-step explanation:
Are they equal or diffrent angles
Find the value of this question
Answer:
the expression is equal to 0
Find the slope of the line that contains each pair of points
Answer:
m=3/2
m=-5/3
m=-5/9
m=8/5
m=1/2
m=0
m=1
Your 1 cup measuring cup is dirty/ lost. How are you going to measure out 2 14 cups of flour for the cookie recipe?
Answer:
You are going to try to eyeball it and if your not able to then another guess is to look for a 1/2 table spoon and use it twice
Step-by-step explanation:
Im worried if I a wrong
Answer:
You would divide 14/2 because there is a 2 cup measuring cup and you need 14 cup so 14 / 2 = 7 you need to use the measuring cup 7 times.
Step-by-step explanation:
Please mark brainliest
Have a great day!
You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.
Answer: 100f + 150e = 1250
Step-by-step explanation:
Subtract the 1st from the 2nd to solve for e:
50e = 250
e = 5 boxes (# of boxes of eight-once cups)
f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)
6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.
The room can only hold 10 more boxes, hence:
x + y ≤ 10 (1)
A maximum of $1200 is budgeted for yogurt cups. Hence:
100x + 150y ≤ 1200 (2)
Plotting the graph of the inequality, the solution is at (6, 4)
Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Find out more at: brainly.com/question/4483570
If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles
Answer:
5hours
Step-by-step explanation:
120÷2=60
60=1 hour
300÷60=5
5hours
A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is its value after 7 years?
a. 5,226.
b. 5,126.
c. 0.
d. 5,026.
Answer:5326
Step-by-step explanation:
A=Pe^rt
Evaluate 2ab if a=5 and, b=8.
Answer:
80
2(5)(8)
you multiply 2 times 5 = 10
10 times 8 is 80
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes
Check the picturee need helppp
What is the value of 2.57 - 1.75?
Answer:
The value is 0.82
Step-by-step explanation:
Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?
Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.
Answer:
its a
Step-by-step explanation:
The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
z=r(cos θ + i sin θ)
So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.
Learn more about complex number here:
https://brainly.com/question/28007020
#SPJ2
Need help on this one.
Answer:
15,7,27,10 Good luck with ur work <3
Can someone help? I don't really understand this question...
2688 divided by 96 with remainder
Answer: OK, the answer is 28.
Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?
Choose the ratio that is equivalent to 4:6.
Group of answer choices
3:6
4:8
8:12
8:10
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
Step-by-step explanation:
Both numbers are multiplied by 2
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 for
cherries to make a cobbler. How many pounds of cherries does she buy? *
Answer:
7 pounds
Step-by-step explanation:
1 pound is $4 28/4 is 7
What is the slope of the line on the graph?
Answer:
The slope would be 7.
Step-by-step explanation:
Count the number of spaces the line goes up from point A to point B.
Which expression is equivalent to 20y - 5
a.4(5y-1)
b.20(y-5)
c.5(4y-1)
d.y(20-5)
b.20(y-5)
Step-by-step explanation:
not sure ops sorry
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?
Answer
the 1st equation
Step-by-step explanation:
what is the value of x in (3x + 11)
Answer: no answer
Step-by-step explanation:
There are no combine terms to this question.
There is no way we can find out the value of x.
Therefore, there is no solution or there is no answer.
Answer: 11/3, or 3.66 (repeating)
Step-by-step explanation: 3x + 11, divide 11 by 3, getting a repeating decimal, or a fraction that cannot be simplified
Please help as soon as possible 50 points
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
9x+6+4x-2x+1-15
What is the answer?
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
If a train traveled at 50 meters within 120 seconds, what is its speed?
Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s[/tex]
So, the speed of a train is 0.416 m/s.