Answer: At 5:00 pm the second train catch up with the first train.
Step-by-step explanation:
Let t = Time taken by first train.
Time taken by second train = t-2
Speed of train 1 = 45 mph
Speed of train 2 = 55 mph
Since, Distance = speed x time
Then, [tex]45t= 55(t-2)[/tex]
[tex]\Rightarrow\ 45t= 55t-110[/tex]
[tex]\Rightarrow\ 55t-45t=110= \\\\\Rightarrow\ 10t=110\\\\\Rightarrow\ t=11[/tex]
After 11 hours, time = 8+11 =17(12+5)i.e. 5 : 00 pm.
Hence, At 5:00 pm the second train catch up with the first train.
I NEED HELP QUICK PLEASE!!!! THIS IS DUE TOMORROW AT THE BEGINNING PF CLASS!!!!
Solve the system by Substitution.
x- 4y=-7
-x +2y = 3
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Step 1:Solve x−4y=−7 for x...
[tex]x-4y=-7\\x=4y-7[/tex]
Step 2:Substitute 4y−7 for x in −x+2y=3...
[tex]-x+2y=3\\-(4y-7)+2y=3\\-4y+7+2y=3\\-2y+7=3\\-2y=-4\\y=2[/tex]
Step 3:Substitute 2 for y in x=4y−7...
[tex]x=4y-7\\x=4(2)-7\\x=8-7\\x=1[/tex]
So the solution of these equations is (1,2).
Explain how to simplify fractions before multiplying. Reduce 7/8 x 4/14 and solve.
Answer:
4 /14 ÷ 7 /8 =16 /49
Step-by-step explanation:
HOPE THIS HELPS
HAVE A GOOD DAY
STAY SAFE
BYEE.
The vet says the Lenas puppy will grow to be at most 33 in tall Lenas puppy is currently 1 foot tall how many more inches will the puppy grow?
Answer:
21 in
Step-by-step explanation:
1 ft=12 in
33in-12in=21in
PLS HELPPP ME ASAP I WILL GIVE BRAINLIEST!!!!n
Answer:
392in²
Step-by-step explanation:
Bottom = 6x10=60
Back = 10x6=60
Front = 10x6 + 4x4=76
Back = 76
6x4=24
6x4=24
6x6=36
6x6=36
392 Total
A library opened with 67 members. Each month, the membership increased by 34 A library opened with 67 mmembers. Which equation represents the relationship between the number of months the library has been opened, x and the total library members, y?
Step-by-step explanation:
Y= 67
X= 67÷34 = 1.97
Y= 1.97×(34)
When Sara was 5 she told $50 in a savings account. When she turned 6, her aunt gave her 100$ every year for her birthday. Is this proportional relationship?
Answer:
Step-by-step explanation:
The the age of Sarah be x and the amount she has be y:
When Sarah was 5 and her amount is $50
When x1 = 5, y1 = $50
Also when Sarah was 6, her amount is $100
When x2 = 6, y2 = $100
Find the slope which is also the constant of proportionality
x= ky
k = y2-y1/x2-x1
k = 100-50/6-5
k = 50/1
k = 50
Substitute the value of k in the formula:
x = 50y
This means that Sarah's age is directly proportional to the amount she have. Hence, it can be concluded that it is a direct relationship
Rewrite 8.62 as a mixed number in simplest form.
Answer:
8 31/50
Step-by-step explanation:
HOPE THIS HELPS
Answer:
831 / 50
Step-by-step explanation:
Welcome !!!!!
One bag of pretzels costs three dollars. Five bags of pretzels cost $10. Which has the lower unit price?
Answer:
one bag of pretzels
Step-by-step explanation:
hope this helps
Answer:
1 bag: $3
Step-by-step explanation:
The ratios are
1 bag: $3
5 bags: $10
to do this you need to simplify, the first one is already simplified so we need to do the second
5 bags: $10
=
1 bag: $2
So the first one is bigger
An object was dropped off the top of a building. The function f(x)=-16x^2+400represents the height of the object above the ground, in feet, x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Domain exists on all real values and it is expressed according to the notation:
(-∞, ∞)
Step-by-step explanation:
The domain of a function is the values of the input variables x that will make the function exist.
Given the function f(x)=-16x^2+400
Since the variable x is a perfect square, this means that the function f(x) will exists for all values of x. The domain is expressed as:
(-∞, ∞)
What is 3(x-2)+4x>x+1
Answer:
X>7/6
Step-by-step explanation:
Ms. Glick drew two line segments on the chalkboard. The first line segment was 168 cm long and the other was 5 feet 2 inches long. If 1 inch = 2.54 cm, approximately how many inches longer was the first line segment than the second?
this is an absolute value question im wondering
-10h-53=83
What is the slope-intercept form of the equation -4x+6y=-2
Y=2/3x-1/3 is you slope intercept form of the equation
Answer:
Y=2/3x-1/3
Step-by-step explanation:
this is on metric measurements. but i’m not sure what they want me to do. can you give me the correct 9 letter sequence & explain how you got it?
Answer:MABYE THE SAME AS THE EXAMPLE OR ABECFDHGI
Step-by-step explanation:
Solve the equation shown:
2.5x + 18 = 3.5x - 4
X=
Answer:
X=22
Step-by-step explanation:
Step 1: Subtract 3.5x from both sides.
2.5x+18−3.5x=3.5x−4−3.5x
−x+18=−4
Step 2: Subtract 18 from both sides.
−x+18−18=−4−18
−x=−22
Step 3: Divide both sides by -1.
−x/-2 = -22/-1
x=22
The value of x in the given equation is 22
The given equation;
2.5x + 18 = 3.5x - 4
To find:
the value of xThe equation is simplified as follows;
2.5x + 18 = 3.5x - 4
collect similar terms together
2.5x - 3.5x = - 4 - 18
- x = - 22
x = 22
Thus, the value of x in the given equation is 22
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Cody has 1/ 2 of a cup of powdered sugar. He sprinkles 2/ 5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Cody sprinkle on the brownies? Simplify.
Answer:
0.2 units
Step-by-step explanation:
It is given that,
Cody has 1/ 2 of a cup of powdered sugar. He sprinkles 2/ 5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies.
We need to find the sugar content on the brownies.
ATQ,
[tex]B=\dfrac{1}{2}\times \dfrac{2}{5}\\\\B=\dfrac{1}{5}\\\\B=0.2\ \text{units}[/tex]
So, Cody sprinkles 0.2 units of sugar on the brownies.
Help pleaseeeee i cant do this
Answer:
1010
Step-by-step explanation:
Find the value of a^4-b^2/5
when a = -2 and b = -1.
help plssss
Answer:
15
Step-by-step explanation:
All you have to do is plug in the values into the variables.
[tex](-2)^{4} - (-1)^{\frac{2}{5} }[/tex]
Now evaluate.
[tex](-2)^{4} = 16[/tex]
[tex](-1)^{\frac{2}{5} } = 1[/tex]
Now subtract the two numbers.
16 - 1 = 15
The answer is 15.
I hope this helps!!
Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000. The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually. Assuming that Wayne has kept his apartment com plex constantly three-quarters full, what will his net profit or loss be when he sells the building, to the nearest hundred dollars? a. $61,500 loss
b. $722,400 loss
c. $168,000 profit
d. $606,000 profit
Answer:
D
Step-by-step explanation:
ED2020
The net profit of Wayne be when he sells the building is $606000 and this can be determined by using the formula of profit.
Given :
Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000.The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually.Assume that Wayne has kept his apartment complex constantly three-quarters full.First, determine the annual revenue which is given by:
Annual Revenue = Monthly Rent [tex]\times[/tex] Number of Rooms [tex]\times[/tex] Number of months [tex]\times[/tex] Three-quarters
Annual Revenue = 495 [tex]\times[/tex] 20 [tex]\times[/tex] 12 [tex]\times[/tex] (3/4) = $89100
Total Profit = (Annual Revenue - Annual Cost) [tex]\times[/tex] (Number of years)
= (89100 - 26400) [tex]\times[/tex] 15
= $940500
Now, the net profit of Wayne when he sells the building is given by:
Net Profit = Value of the building at the end of the 15th year + Total profit from renting - Cost of the building
Net Profit = 424490.38 + 940500 - 759000 = 605990.38
Net Profit [tex]\approx[/tex] $606000
Therefore, the correct option is D).
For more information, refer to the link given below:
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Marie needs a trombone for only 12 months.
Renting the trombone costs $34 per month. She
can buy the trombone for $495. Should she buy
or rent the trombone? Explain. How much will
she pay?
Answer:
Marie should rent the trombone
Step-by-step explanation:
If Marie rents it for 12 months it'll be 12x34= $408.
If Marie buys a trombone it'll cost her 495 which is more expensive.
4x-17>24(x-2) +5 and 5x-3>17 solve and graph.
Answer:
4x-17>24(x-2)+5 =
x < 13/10
The line graph with open circle going left into the negatives**
5x-3>17 =
x>4
line graph with open circle going right into the positives **
Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 13 minutes to fill the swimming pool with 117 gallons of water. At this rate does the swimming pool fill, In gallons per minute.
Answer:
9 gallons per min
Step-by-step explanation:
Answer:
9 gallons per minute
Step-by-step explanation:
the one in the bottom is 2.
Which ones do i choose
Answer:
-1 no explanation this is so easy
Step-by-step explanation:
wefwefwef
Which angle of rotation will carry the figure onto
itself?
1) 60°
2) 108°
3) 216
4) 540°
Answer:
pretty sure it’s 60°
Solve the equation, justify
each step with an algebraic
property.
-45 = 5(x + 3)
Answer:
x = -12
Step-by-step explanation:
Given expression:
-45 = 5(x + 3)
the solution of an algebraic expression is the value(s) that makes the expression true.
In this problem, let us solve for x;
-45 = 5(x + 3)
Applying the distributive property on the right hand side;
-45 = 5x + 15
Now, add (-15) to both sides of the expression;
-45 + (-15) = 5x + 15 + (-15)
-45 - 15 = 5x
-60 = 5x
Then divide both sides by 5;
x = -12
Angie is making mushroom tarts for a Mother's Day brunch. The number of mushrooms in the fridge will determine the number of tarts she can make.
m = the number of mushrooms in the fridge
t = the number of tarts Angie can make
Which of the variables is independent and which is dependent?
Group of answer choices
t is the independent variable and m is the dependent variable
m is the independent variable and t is the dependent variable
Answer:
M is the independent variable and t is the dependent variable
Step-by-step explanation:
She can change the number of mushrooms and it will effect how many tarts she can make.
what is the rate for 180 pounds por 15$.
Answer:
12/1 or just 12
Step-by-step explanation:
If you divide 180 by 15 you get 12 and what you divide by the by the top you divide by the bottom and you get 1 because 15 divided by 15 is 1 .
please help me with this last question.
Answer:
d. 16Step-by-step explanation:
d. 16 is the correct answer....Hopes to get BRAINLIEST....
Thank you ☺️
Answer:
d. x = 16
Step-by-step explanation:
From the alternate interior angle theorem, we can see that the sum of the 2 labeled angles is 180. We can therefore set up an equation and solve for x:
7x + (2x + 36) = 180
9x + 36 = 180
9x = 144
x = 16
Therefore, x = 16.
HELP QUICK!!
What is the slope of the line shown below?
Answer:
4
Step-by-step explanation:
I didnt look at it right the first time