A train leaves a station at 10:40 a.m. and arrives at its destination at 1:20 p.m. Find the distance between the stations if the average speed of the train was 60 mph.
160 miles.
10:40-11:40 is 60 min., which is 60 miles
11:40-12:40 is 60 min., which is also 60 miles
12:40-1:00 is 20 min. = 20 miles
1:00-1:20 is 20 min. = 20 miles
60+60+20+20 = 160 miles
Answer:
The answer is 160.2 miles.
Step-by-step explanation:
In order to determine the distance, we have to know the total time that train traveled. We know that the train leaves at 10:40 a.m. and arrives at 1:20 p.m.
So,
10:40 a.m. to 11:00 a.m.=20 minutes
11:00 a.m. to 1:00 p.m.=120 minutes
1:00 p.m. to 1:20 p.m.=20 minutes
Then, the total time is 20+120+20=160 minutes. Also we have to know that the speed is the rate of distance per time. The units are miles per hours, thus 160 min=2.67 hours.
S=speed of the train.
D=distance of the train.
T=total time of the train.
[tex]S=\frac{D}{T}\\60=\frac{D}{2.67}\\D=60*2.67\\D=160.2[/tex]
Finally, the distance between the stations is 160.2 miles.
helpppppp
DX
Clayton loves riding Ferris wheels and roller coasters. While visiting the Lee County Fair, he first went on the Ferris wheel 1 time and the roller coaster 4 times, using a total of 23 tickets. Then, after taking a break and having a snack, Clayton went on the Ferris wheel 5 times and the roller coaster 3 times, using a total of 30 tickets. How many tickets does it take to ride each attraction?
It takes ____tickets to ride the Ferris wheel, and ____tickets to ride the roller coaster.
The rec center has two payment choices. Plan A is $35 per month for unlimited visits. Plan B is $15 per month plus $2 per visit. If Nichole will go to the rec center 8 times a month, which is the cheaper plan for her? How much will it cost?
What is the value of x in the solution to the following system of equations?
x − y = −3
x + 3y = 5
Answer for Blank 1:
The value of 'x' in the solution to the following system of equations is -1 and this can be determined by using the arithmetic operations.
Given :
x - y = -3x + 3y = 5The following steps can be used in order to determine the value of x:
Step 1 - The arithmetic operations can be used in order to determine the value of 'x'.
Step 2 - Write the given system of equations.
x - y = -3 --- (1)
x + 3y = 5 --- (2)
Step 3 - Simplify the equation (1).
x = y - 3 --- (3)
Step 4 - Substitute the value of 'x' in equation (2).
y - 3 + 3y = 5
4y = 8
y = 2
Step 5 - Substitute the value of 'y' in equation (3).
x = 2 - 3
x = -1
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what is the closest estimate to 2 times 19 times 5
1,150
200
125
90
Find the value of k if it is known that the graph of y=kx goes through:
B(−30, 3)
Answer:
k=_____
add the point, x=-30, y=3:
y=kx
3=k*-30
3=-30k
-1/10=k
so the final answer:
k= -1/10
yoy are choosing between two health clubs. Club A offers membership fir a fee if $21 plus a monthly fee of $26. club B offers membership for a fee of $42 plus a monthly fee of $19. After how many months will the total cost of each health club be the same?
The word “harvested” is used figuratively in paragraph 10. How do you know it is used figuratively, and why did the author choose this word?
The word "harvested" is used figuratively in paragraph 10 to convey the idea of gathering or collecting something. The author likely chose this word to create a vivid image in the reader's mind.
Explanation:The word "harvested" is used figuratively in paragraph 10 because it is not referring to the actual act of harvesting crops, but instead is used metaphorically to describe the gathering or collection of something. The author likely chose this word to create a vivid image in the reader's mind and to convey the idea of gathering or collecting in a meaningful way. This use of figurative language adds depth and richness to the text.
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10 PTS!! (5 + 2/8) - (3 7/8)
Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). The coordinates of B are (-2, 3). How?
Answer:
B (-2, 3)
Step-by-step explanation:
Just took quiz
The coordinates of B before translated to B' are (-2,3).
Translation is a term used in geometry to describe a function that moves an object a certain distance.
In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.
In translation, only the position of the object changes, its size remains the same.
For the given situation,
Triangle ABC is translated to image A’B’C’.
In this translation, A(5, 1) maps to A’(6,-2).
In translation, the distance between A' and A in the coordinate system is same as B'B and C'C.
Let A(x_1,y_1) = (5,1) and A'(x_2,y_2) = (6,-2)
⇒ x_1 - x_2 = 5 -6
⇒ -1
⇒ y_1 - y_2 = 1- (-2)
⇒ 3
The coordinates of B’(-1,0)
So, the coordinates of B is
⇒ x= (-1 -1) = -2
⇒ y= (0 + 3) =3
Thus coordinates of B are (-2,3).
Hence we can conclude that the coordinates of B before translation are (-2,3).
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Question
Triangle ABC is translated to image A’B’C’. In this translation, A(5, 1) maps to A’(6,-2). The coordinates of B’(-1,0). What are the coordinates of B
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal. How much money did they both have in their accounts in May?
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!
how do you factor this expression by dividing by the GCF first. 15c-25
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday? -40.85°C
( 8 x 10^-3 ) * (0.0002) = ?
In scientific notation please
Is 5 g greater than 508 mg
Yes, 5 grams (5 g) is greater than 508 milligrams (508 mg).
To compare the two quantities, grams (g) and milligrams (mg),
Make sure they are in the same unit.
Since 1 gram is equal to 1000 milligrams, we convert the given values into the same unit, which is milligrams (mg).
5 grams (5 g)
508 milligrams (508 mg)
To compare them, we need to convert 5 grams into milligrams:
5 grams × 1000 milligrams/1 gram = 5000 milligrams
Now, we have both quantities in milligrams:
5 g = 5000 mg
508 mg = 508 mg
Since 5000 mg is greater than 508 mg, we can conclude that 5 grams (5 g) is greater than 508 milligrams (508 mg).
Therefore, 5 grams is indeed greater than 508 milligrams.
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Product of 32x25 and what is the strategy?
How do you simplify this expression?
-12/3*(-8+(-4)^2-6)+2
WILL GIVE BRAINIEST ANSWER!!!
-12/3*(-8+-4^2-6)+2
-4^2 = 16
-12/3*(-8+16-6)+2
-8+16-6 = 2
-12/3*(2) +2
-12/3 * 2 =-8
-8 +2 = -6
The value of the given expression -12/3×[-8+(-4)²-6]+2 will be -6.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression -12/3×[-8+(-4)²-6]+2
By division and opening square root
⇒ -4×[-8+ 16 -6]+2
By addition
⇒ -4×[ -8 + 10]+2
⇒ -4× 2 + 2
⇒ -8 + 2
⇒ -6
Hence "The value of the given expression -12/3×[-8+(-4)²-6]+2 will be -6".
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Which point could be removed in order to make the relation a function? (4 points)
{(−9, −8), (−8, 4), (0, −2), (4, 8), (0, 8), (1, 2)}
Answer:
The correct answer is (0,8)
Select from the drop-down menu to correctly identify the property shown.
0.8+(1.2+(−3))=(0.8+1.2)+(−3)
HELP ME!
Answer:
associative property
Step-by-step explanation:
Jessica has 48 sticker.This is 8 times as many stickers as Taylor has.How many stickers does Taylor have?
Taylor has 6 stickers, as Jessica's 48 stickers are 8 times Taylor's amount. Also, after certain actions, we can conclude that Jenny initially had 14 chocolates.
Explanation:Jessica has 48 stickers, which is 8 times as many stickers as Taylor has. To find out how many stickers Taylor has, we need to divide the number of Jessica's stickers by 8:
48 stickers \/ 8 = 6 stickersTherefore, Taylor has 6 stickers.
In a similar problem, Jenny has some chocolates. After eating two chocolates and giving half of the remainder to Lisa, Lisa ends up with 6 chocolates. To determine the number of chocolates Jenny started with, we multiply the number Lisa received (6) by 2 and then add the 2 chocolates Jenny ate:
Lisa has 6 chocolates, which is half of what remained after Jenny ate 2, so before giving, Jenny had 6 * 2 = 12 chocolates.Add the 2 chocolates Jenny ate: 12 + 2 = 14 chocolates.Hence, Jenny initially had 14 chocolates.
Write the following inequality in slope-intercept form.
5x − 5y ≥ 70
a.)y ≥ x − 14
b.)y ≤ x − 14
c.)y ≥ x + 14
d.)y ≤ x + 14
Final answer:
To convert the inequality 5x - 5y ≥ 70 to slope-intercept form, we solve for y to get y ≤ −x − 14, which is most appropriately represented as option (b.) y ≤ x − 14 after rearranging terms.
Explanation:
To write the inequality 5x − 5y ≥ 70 in slope-intercept form, we need to solve for y. We start by isolating the y-term on one side of the inequality.
First, we subtract 5x from both sides: −5y ≥ 70 − 5x
Next, we divide each term by -5 (remembering to reverse the inequality symbol because we are dividing by a negative number): y ≤ (70/−5) + (5x/−5)
y ≤ −14 − x
Finally, we write x before the constant to follow conventional form:
y ≤ −x − 14
Comparing this result to the multiple-choice options, we can see that none of them exactly match the form we derived. However, we can rewrite our inequality as y ≤ x − 14 by multiplying through by -1 (which will not change the inequality because we are not dividing or multiplying the inequality itself, just rearranging the terms).
Therefore, the correct answer is (b.) y ≤ x − 14.
Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?
To find Jimmy's speed, divide the distance he ran by the time taken. Speed = Distance/Time. which is m/t.
To find Jimmy's speed, we use the formula Speed = Distance/Time.
Therefore, Jimmy's speed, in miles per minute, is m/t.
For example, if Jimmy ran 5 miles in 10 minutes, his speed would be 0.5 miles per minute (5 miles / 10 minutes = 0.5 miles per minute).
a professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $31 on the second race and tripled the money he came with. He bet $51 on the third race and quadrupled his original bankroll. He bet $84 on the fourth race and lost it, but still had $40 left. How much money did he start with?
Answer:
The gambler came with $31.
Step-by-step explanation:
Let x be the initial amount.
At the end of the first race at the track he had doubled his money, that is 2x.
He bet $31 on the second race and tripled the money he came with.
Means 3x.
He bet $51 on the third race and quadrupled his original bankroll that is 4x.
He bet $84 on the fourth race and lost it, but still had $40 left.
Summing all the values, we get;
[tex]4x-84=40[/tex]
=> [tex]4x=40+84[/tex]
=> [tex]4x=124[/tex]
=> x = 31
Hence, the gambler came with $31.
How to write 48 /50 as a percentage
The Springfield fifth graders sat on the first floor at Symphony Hall. 35 students sat in each row. How many rows did they fill?
HELP ME PLEASE IM BEGGING YOU!!!!!!
Final answer:
To find the number of rows filled by the Springfield fifth graders, divide the total number of students by the number of students in each row.
Explanation:
To find the number of rows filled by the Springfield fifth graders, you need to divide the total number of students by the number of students sitting in each row. In this case, there were 35 students in each row.
To calculate the number of rows, divide the total number of students by the number of students in each row:
Number of rows = Total number of students / Number of students in each row
Since the total number of students is not mentioned in the question, I cannot provide a specific answer. However, if you have that information, you can substitute it into the formula to find the number of rows.
-4(5k-7)-2k=-2(9k+5)
The ground temperature at an airport was 10 degree temperature dropped 5 degrees for every 1000m above the ground. What was the temperature outside an airport that took off from this airport and climbed to 5000m?
PLZ EXPLAIN ANSWER IN DETAIL
The temperature at 5000m is -15 degrees Celsius.
To determine the temperature outside an airplane that has climbed to an altitude of 5000m, we start with the initial ground temperature at the airport, which is 10 degrees Celsius. For every 1000m increase in altitude, the temperature drops by 5 degrees Celsius. We can calculate the temperature decrease over 5000m by multiplying the temperature change per 1000m (5 degrees) by the number of 1000m segments in 5000m (which is 5).
The calculation is as follows:
Temperature drop per 1000m = 5 degrees Celsius
Number of 1000m segments in 5000m = 5
Total temperature drop = 5 segments * 5 degrees/segment = 25 degrees Celsius
Temperature at 5000m = Ground temperature - Total temperature drop
Temperature at 5000m = 10 degrees Celsius - 25 degrees Celsius
Temperature at 5000m = -15 degrees Celsius
Therefore, the temperature outside an airplane that climbs to an altitude of 5000m is -15 degrees Celsius.
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What's the difference between 178 and -395
Show work whit all of it