It will take 20 months for the costs of Apartment A and Apartment B to be the same.
Explanation:To find out how many months it will take for the costs of Apartment A and Apartment B to be the same, we need to set up an equation. Let's say it takes x months for the costs to be equal. The equation would be: 1000 + 1200x = 1500 + 1175x. We can solve this equation to find the value of x.
First, we can simplify the equation by subtracting 1175x from both sides: 1000 + 25x = 1500. Then, we can subtract 1000 from both sides to isolate the variable: 25x = 500.
Finally, we can divide both sides of the equation by 25 to solve for x: x = 20. Therefore, it will take 20 months for the costs of Apartment A and Apartment B to be the same.
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How to write 48 /50 as a percentage
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.
what is the closest estimate to 2 times 19 times 5
1,150
200
125
90
Help me and I will crown you please!!!
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)
Pre-image ABCD was dilated to produce image A'B'C'D' .
What is the scale factor from the pre-image to the image?
Enter your answer in the box as a fraction in simplest form.
Answer:
its 2/5 i took the test
Step-by-step explanation:
Please help this is my last day to get my grades up before report cards go out !!
estimate the value of 9.9 squared 1.79
Identify the terms and like terms in the expression.
1.) 9x - 5x
So would you switch the numbers to additive inverse, so the terms are 9x and -5x, and the like terms are 9x and -5x?
A teacher asked the class to solve the equation 3(x + 2) = 21.
Robert wrote 3x + 6 = 21 as his first step. Which property did he use?
(1) associative property (3) distributive property
(2) commutative property (4) zero property of addition
Product of 32x25 and what is the strategy?
At a track meet, Samma finished the 200-meter race in 25.98 seconds. Tom finished the 100-meter race in 12.54 seconds. Which runner ran at a faster average rate?
Answer: Tom
Step-by-step explanation:
time = distance / speed
Samma : 200/25.98 = 7.70 meters per second
Tom : 100 / 12.54 = 7.97 meters per second
so the faster runner is Tom
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:
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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write the slope intercept form of the equation through: (-1,3) ,parallel to y=3x-1
slopes of two parallel lines are equal
from the equation y=3x-1, slope =3
using slope m=3 and point (-1,3) , we find the y intercept
y=mx+b
3=3(-1) +b
b=6
plugging m=3 and b=6 in slope intercept form to get the equation
y=3x+6
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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-4(5k-7)-2k=-2(9k+5)
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.
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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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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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.
Show work whit all of it
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.
how do you factor this expression by dividing by the GCF first. 15c-25
math question answer a and b
Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. If she buys 2 sketchpads, how many pemcils can she buy while staying in her price range?
The number of pencils she can buy while staying in her price range is from 12 to 18 pencils
let x represent the number of pencils she can buy .
First step is to calculate the Total cost
Total cost=2($3.25) + x($0.75)
Total cost=$6.50 + $0.75x
Second step is to write the inequality
Inequality=15 ≤ 6.50 + 0.75p ≤ 20
Third step is to substract $6.50
8.50 ≤ 0.75p ≤ 13.50
Fourth step is to divide each by 0.75
8.50/0.75=11.33
13.50/0.75=18
11.33 ≤ x ≤ 18
Therefore The number of pencils she can buy while staying in her price range is from 12 to 18 pencils
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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
ydx-4(x+y^6)dy=0
How can I solve?
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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