The required solution is y = 4x - 6 and slope is 4.
What is the equation of line?The general equation of straight line is
y = mx + c
where, m is the slope
and c is the intercept where the line cuts the y-axis.
Now the given equation is,
8x - 2y = 12
Dividing whole equation by 2 we get
4x - y = 6
Substacting 4x to the both side,
4x - y -4x = 6 -4x
Solving,
- y = 6 -4x
Multiplying whole equation by -1 we get,
y = 4x - 6
Comparing the above equation with the general equation of line
y = mx + c
Hence we get,
m= 4 which the slope,
and c = -6
Hence,the required solution is y = 4x - 6 and slope is 4.
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $240 and first class tickets for $1130. She used her total budget for airfare for the trip, which was $10,480. How many first class tickets did she buy? How many coach tickets did she buy?
An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
The speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
What is speed?
"It is the distance covered per unit time."
What is the formula of speed?
"speed = distance/time"
For given question,
Let, the speed of the airplane in still air = x mph
and the speed of the wind = y mph
So, the speed of the airplane with the wind = (x + y) mph
and the speed of the airplane against the wind = (x - y) mph
Here, the distance (d) = 2600 miles
An airplane takes 4 hours to travel a distance of 2600 miles with the wind.
[tex]\Rightarrow x+y=\frac{2600}{4} \\\\\Rightarrow x+y=650~~~~~~~~~~.........................(i)[/tex]
The return trip takes 5 hours against the wind.
This means, an airplane takes 5 hours to travel a distance of 2600 miles against the wind.
[tex]\Rightarrow x-y=\frac{2600}{5}\\\\ \Rightarrow x-y=520~~~~~~~~~~............................(ii)[/tex]
From equation (ii),
x = 520 + y ........................(iii)
Substitute this value in equation (i),
⇒ (520 + y) + y = 650
⇒ 2y = 650 - 520
⇒ 2y = 130
⇒ y = 65 mph
Substitute the value of y in equation (iii),
⇒ x = 520 + y
⇒ x = 520 + 65
⇒ x = 585 mph
Therefore, the speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
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If a real estate agent receives 11 percent of the selling price of each house he sells, then what would the agent make if the house sells for $1033,000?
The real estate agent would make $113,630 by earning an 11% commission on the sale of a house priced at $1,033,000.
The real estate agent would receive 11% of the selling price of the house if it sells for $1,033,000. To calculate the commission, we use the formula:
Commission = Selling Price imes Commission Rate
So, the agent's commission would be:
Commission = $1,033,000 imes 0.11 = $113,630.
Therefore, the real estate agent would make $113,630 from the sale of the house.
In the expression 6pq+8p-6r, what is the coefficient of the term 6pq?
multiply using expanded form 5 ×923
i need help with number 7 please help me!!
Some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters ?
A. 89 fl oz
B. 101 fl oz
C. 10 fl oz
D. 33 fl oz
Answer:
B. 101 fl oz
Step-by-step explanation:
We have been that some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce.
We know that 1 liter equals 1000 ml.
3 liters = 3,000 ml.
To find the number of fluid ounces in 3 liters, we will divide number of milliliters in 3 liters by number of milliliters in 1 fluid ounce.
[tex]\text{The number of fluid ounces in 3 liters}=\frac{3000}{29.6}[/tex]
[tex]\text{The number of fluid ounces in 3 liters}=101.35135135\approx 101[/tex]
Therefore, there are 101 fluid ounces in 3 liters of water and option B is the correct choice.
Luis rode his bike after school for 48 min. For what part of an hour did he ride his bike. Simplest form
Which problem is represented by this inequality?
12x ≥ 48
A) If riders on Feel the Fear must be at most 48 inches tall, how many feet tall are they?
B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they?
C) If riders on Feel the Fear must be less than 48 inches tall, how many feet tall are they?
D) If riders on Feel the Fear must be greater than 48 inches tall, how many feet tall are they?
Answer:
Option B
Step-by-step explanation:
We should know the following:
Symbol > ⇒ Commonly used for : more than or greater than.
Symbol < ⇒ Commonly used for : less than or fewer than.
Symbol ≥ ⇒ Commonly used for : at least, no less than, grater than or equal
Symbol ≤ ⇒ Commonly used for : at most, no more than, less than or equal.
Given 12x ≥ 48
Which mean 12x ( least or no less than ) 48
So, the suitable option is B
B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they?
Answer:B) If riders on Feel the Fear must be at least 48 inches tall, how many feet tall are they
Step-by-step explanation:
Answers plssssssssss ‼️‼️‼️
PLEAS HELP WITH MATH!!!!!!!!!!!!!!
Solve for z. z−4/9−1/3=5/9 Enter your answer in the box.
z=
Haley's car gets at least 17 miles per gallon. If she plans a trip that is 250 miles, what is the minimum number of gallons she'll need?
Answer:
15 gallons
Step-by-step explanation:
Please Geometry Help!!!!!
Mulch to cover a rectangular garden costs $48. Mulch is needed to cover a larger, similar garden. The ratio of dimentions is 2:3. How much would it cost to cover the larger garden?
A) $288
B) $192
C) $72
D) $108
The cost of covering the larger garden is $192. So option (b) is correct.
To solve this problem, let's first find the dimensions of the larger garden.
Given that the ratio of dimensions between the two gardens is 2:3, let's assume the dimensions of the smaller garden are 2x and 3x, where x is a common factor.
So, the smaller garden's area is (2x) * (3x) = 6x².
Now, let's find the area of the larger garden. Since the ratio of dimensions is 2:3, the dimensions are 2(2x) and 3(2x), which are 4x and 6x.
Thus, the larger garden's area is (4x) * (6x) = 24x².
Now, since the cost of mulch is directly proportional to the area, we can set up a proportion to find the cost.
(6x²) / (24x²) = $48 / Cost of covering the larger garden
Solving for the cost of covering the larger garden:
Cost of covering the larger garden = ($48 * 24x²) / (6x²)
= $192
So, the correct answer is B) $192.
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?
It's c. I did a test and it is correct
Last year Tamera made $42,786. How much did she make each month [12 months]
What is the value of 2xy if x = 5 and y = 6?
xp+yp=z. (ignore the period, any answers)
The perimeter is 128 inches and the width is 30 inches what is the length of the rectangle
What is the equation of this line in standard form?
A. −8x+9y=23
B. −8x+9y=−23
C. −8x+7y=25
D. −9x+8y=−23
a dog has 12 puppies,one half of them have yellow furs,how many puppies have yellow furs?
Tell me how to do this
The hotel that the Hutchinson family is staying at on the vacation is shaped like a rectangle prism it is 234 feet long 158 feet wide and 37 feet tall what is the volume of the hotel
The volume of the hotel that the Hutchinson family is staying at, which is shaped as a rectangular prism, can be found by multiplying its length (234 feet), width (158 feet), and height (37 feet) to get a total volume of 1,371,132 cubic feet.
Explanation:The hotel that the Hutchinson family is staying at can be considered as a rectangular prism when trying to calculate its volume. The formula for calculating the volume of a rectangular prism is Volume = length × width × height.
The given dimensions of the hotel are 234 feet (length), 158 feet (width), and 37 feet (height). Thus, the volume of the hotel can be calculated by multiplying these dimensions together:
Volume = 234 feet × 158 feet × 37 feet
Calculating, we get:
Volume = 1,371,132 cubic feet.
Therefore, the volume of the hotel is 1,371,132 cubic feet.
Joel wrote a number that is 100 times more than the 6 in 4,586,909. Which numbers below could Joel have written. Circle all that apply.
A. 4,765,847
B. 8,690,888
C. 5,769,909
D. 609,575
*Please Show Work*
Square X is similar to square Y. The scale factor from square X to square Y is 2.5. The area of square X is 25 cm². What is the area of square Y?
The area of square Y is 156.25 cm².
Explanation:To find the area of square Y, we need to use the scale factor to determine its dimensions. The scale factor is 2.5, which means the side length of square Y is 2.5 times the side length of square X. Since the area of square X is 25 cm², we can calculate the side length of square X by taking the square root of 25, which is 5 cm. Therefore, the side length of square Y is 5 cm * 2.5 = 12.5 cm. The area of square Y is then calculated by squaring its side length: 12.5 cm * 12.5 cm = 156.25 cm².
Aspen added 14 to the product of 224 and 16. What is the sum?
Answer:
Required sum in the given problem is 3598.
Step-by-step explanation:
Given phrase,
Sum of 14 and the product of 224 and 16,
∵ Product of 224 and 16 = [tex]224\times 16 = 3584[/tex],
Also, Sum of 14 and 3584 = [tex]14 + 3584 = 3598[/tex],
Hence, the sum of 14 and the product of 224 and 16 would be 3598.
We have that The sum from the Statement "Aspen added 14 to the product of 224 and 16" is
[tex]x=3598[/tex]
From the question we are told that
Aspen added 14 to the product of 224 and 16
Generally the equation for the Statement "Aspen added 14 to the product of 224 and 16" is mathematically given as
[tex]14+(224*16)=x[/tex]
[tex]x=3598[/tex]
Therefore
The sum from the Statement "Aspen added 14 to the product of 224 and 16" is
[tex]x=3598[/tex]
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Is the function represented by the table non-linear?
x
6
4
7
2
y
8
0
9
–2
a. Yes, because it has a constant rate of change.
b. Yes, because it does not have a constant rate of change.
c. No, because it has a constant rate of change.
d. No, because it does not have a constant rate of change.
Answer:
Its A
Step-by-step explanation:
Did on edge
The function represented by the table is a non-linear function because it does not have a constant rate of change option (b) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a function represented by the table:
x 6 4 7 2
y 8 0 9 –2
If the table follows a linear pattern then it can be said that the function is a linear function.
If the table does not follow the linear pattern then it can be said that the function is a non-linear function.
After plotting the double-ordered pair:
(x, y) on the coordinate plane.
From the graph, we can see the function represented by the table ios a non-linear function.
Thus, the function represented by the table is a non-linear function because it does not have a constant rate of change option (b) is correct.
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An airplane flies 105 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed?
The Burmese python can be anywhere from 16 to 23 feet long what is the difference in length in inches between the longest and shortest Burmese python
ashley bought a sandwich for 2.99$, two pickles for 0.89$ each, chips for 0.99$, and a drink for 1.50$. she paid with a 20.00$. how much did ashley spend in all?
What is the product of a number and six less 12 is 72