The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the amount of ice lost = y
Let the time elapsed be = x
A large block of ice is melting and losing 5 grams of mass every minute
So , the first point be A = A ( 1 , 5 )
After 11 minutes, the ice has lost 70 grams
So , the second point is B = B ( 11 , 70 )
Now , the slope of the line is given by the formula ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 70 - 5 ) / ( 11 - 1 )
Slope m = 65/10
Slope m = 6.5
Now , the equation of line is given by ,
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 5 = 6.5 ( x - 1 )
y - 5 = 6.5x - 6.5
Adding 5 on both sides of the equation , we get
y = 6.5x - 1.5
Therefore , the value of A is y = 6.5x - 1.5
Substitute the value of x = 11 minutes , we get
y = 6.5 ( 11 ) - 1.5
y = 71.5 - 1.5
y = 70 grams
Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5
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A car dealership sells sedans and SUVs. In 2000, the ratio in which they were sold was 5:4. By 2010, the dealership had adjusted its inventory to a 2:7 ratio. If it sold 84 SUVs in 2010, how many sedans did it sell in 2000?
Answer:
60 sedans
Step-by-step explanation:
The computation of the number of sedans sold in 2000 is given below:
Given that
The ratio of sedans and SUV is 5:4
And, in 2010 its ratio is 2:7
Now in 2010, 84 SUVs sold
So
84 SUVS = 7
For total 9, it would be
= 84 × 9 ÷ 7
= 108 vehicles
Now the number of sedans is
= 108 × 5 ÷ 9
= 60 sedans
Please help due today
Answer:
It's gotta be either A or B because C and D don't even make up a square.
I believe that it's one of those ( A or B).
Step-by-step explanation:
Sorry I couldn't help you all the way through to the answer. Hope this helps though! :)
Han's family got a solar panel. Each month they get a credit to their account for the electricity that is generated by the solar panel. The credit they receive varies based on how sunny it is. In January they used $83.56 worth of electricity and generated $6.75 worth of electricity. Here is their electricity bill from January. Current charges: $83.56 Solar Credit: -$6.75 Amount due: $76.81 1) In July they were traveling away from home and only used $19.24 worth of electricity. Their solar panel generated $22.75 worth of electricity. What was their amount due in July?
Answer:
-$3.51
Step-by-step explanation:
Given that :
Current charges:
$83.56 Solar Credit: -$6.75
Amount due: $76.81
July they were traveling away from home and only used $19.24 worth of electricity. Their solar panel generated $22.75 worth of electricity. What was their amount due in July
Worth of electricity used in July = $19.24
Worth of electricity generated by solar = - $22.75
Electricity used in July + solar credit charge
$19.24 - $22.75
= -$3.51
math help please (question 2)
What is the slope of the line passes through the points (-2,-3) and (5,4)?
The slope is 1.
Step-by-step explanation:
formula for profit percentage?
Answer:
For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.
Step-by-step explanation:
Delia takes out a loan to buy a car for $18,000 with an interest rate of 6.5%. The amount of interest Delia will have to pay is $4,680. Write and solve an equation to determine the number of months her loan is for. Show all of your work and explain how you got your number of months.
Answer:
Delia pays $4,680 in 4 months
Step-by-step explanation:
Equation:
18,000 * 6.5% = 1170
4680 ÷ 4 = 1170
So, the answer is 4 months this is the equation.
Hope this helps! :)
The sum of four consecutive even integers is -892. Find the four numbers.
Divide by the amount of consecutive numbers (4 in this instance)
It will be within a small range of those numbers
ex. The sum of 3 consecutive even integers is 24.
24/3 =8
Now guess and check
4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10
6+8+10=24
Do roughly the same thing
All four consecutive even integers are;
-226 , -224 , -222 , -220
What is Integers?
An integers is a whole number which can be positive, negative or zero.
Given that;
Sum of four consecutive even integers is -892.
Let four consecutive even integers are;
2x , 2x + 2 , 2x + 4 and 2x + 6
Since, Sum of four consecutive even integers is -892.
Hence, We can formulate;
2x + 2x + 2 + 2x + 4 + 2x + 6 = -892
8x + 12 = -892
Subtract 12 both sides,
8x + 12 - 12 = -892 - 12
8x = -904
Divide by 8,
x = -904 / 8
x = - 113
So, All four even numbers are;
2x = 2 × -113 = -226
2x + 2 = -226 + 2 = -224
2x + 4 = -226 + 4 = -222
2x + 6 = -226 + 6 = -220
Thus, All four consecutive even integers are;
-226 , -224 , -222 , -220
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In the figure shown the sum of the measures yxz and wxv is 75 degrees . what is the measure of zxw
Answer: 105 = WXZ
Step-by-step explanation:
180 = WXZ + 75
subtract both sides by 75 and you get WXZ is equal to 105
I'm not 100% sure, lmk if I'm wrong
5. Ronnie needs to earn more than $460 every month so he can save enough to go on vacation at the end
of the year. He is paid $9.50 per hour and a monthly bonus of $60. Write an inequality that represents
this situation, where h represents the number of hours that Ronnie needs to work in a month to earn
more than $460 and meet his goal.
What would be the minimum number of hours, rounded to the nearest whole, that Ronnie would have
to work?
A. 40 hours
B. 41 hours
C. 42 hours
D. 43 hours
Daniel debe $12.300 a Miguel y paga con un billete de $50.000 ¿cuanto dinero le devuelven ?
Answer:
37,700
Step-by-step explanation:
I believe that you do 50,000 - 12,300. That would get you to your final answer of 37,700. So Miguel has to give 37,700 back to Daniel.
Hope this helped you!
Answer:
Miguel devuelve a Daniel $ 37.70
Step-by-step explanation:
50 - 12.3 = 37.7
The length and breadth of a rectangular room are 5m and 3.2m. Find the cost carpeting the room at the rate of $500 per square metre
Find the mode of the following data: 5, 0, 5, 4, 12, 2, 14
Answer:
5
Step-by-step explanation:
To solve the problem we must know about Mode.
What is the mode?Mode is the data point that repeats the most number of times in a given data set.
The mode of the data set is 5.
Given to us
Data set: {5, 0, 5, 4, 12, 2, 14}As in the given data points {5, 0, 5, 4, 12, 2, 14}, number 5 repeats twice, therefore, 5 is the mode of the given data set.
Hence, the mode of the data set is 5.
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what is the slope of this line? -2x + 3y =-6
Answer:
Slope: 2/3
Step-by-step explanation:
You have to first write the equation into slope-intercept form...
y = mx + b
So...
-2x + 3y = -6
becomes...
3y = 2x - 6
y = 2/3x - 2
Which means...
2/3 is the slope
Hope this help :)
Let me know if there are any mistakes!!
Solve for w.
2w+8=13
Answer:
w = 2.5
Step-by-step explanation:
do minus 8 on both sides making the formula
2w =5
then divide both sides by two so the 2w is now just w making it
w = 5÷2
w = 2.5
I need help I am really struggling with math
Answer:
Okay what is it i might be able to help
Step-by-step explanation:
Which one is it??????
Step-by-step explanation:
Down 10n
Is answer
hope it helps you to
5. Simplify the expression.
-3+5n+14n+7
solve the first equation for x.
X+ 5y = 0 20y = -4x
The answer for the first equation x + 5y = 0 is,
[tex]x = - 5y[/tex]
A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
Answer:
A closed box is to be made in the shape of a cuboid of height h (in cm) with a rectangular base that has sides of length x (in cm) and 2x (in cm). Its volume is required to be `1000 cm^3
The height of the shipping box is 15 inches.
What is volume of rectangular prism?The volume of a rectangular prism: length x width x height. The volume is expressed in cubic units.
given:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
Now, Volume = Base Area * Height
Height = Volume/Base Area
Height = 9000/(20 * 30)
Height = 15 in
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches.
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3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b.
hiii this is adddmath can anyone help with this please
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
Solve this equation
12y = 30
Answer:
hI!!
Y = 5/2
Step-by-step explanation:
Let's solve your equation step-by-step.
12y=30
Step 1: Divide both sides by 12.
12y/12 30/12
I need help with everything but A. assignment is worth 150 points
please help me with this
Answer: D. 3[tex]\sqrt[3]{20}[/tex]
Step-by-step explanation:
Answer:
think A or B
Step-by-step explanation:
i am not sure
answer?answer?answer?answer?answer?answer?answer?
Answer:
y=6/2x-6
y=3x-6
Step-by-step explanation:
The equation y = 700x + 800 models the typical annual cost, y, in dollars, of medical expenses x years after a person’s 20th birthday. What does 800 represent?
Answer:the annual medical expenses for a typical 20 yr old
Step-by-step explanation:
Which set of values makes the inequality x + 2 ≥ 0 true?
Answer:
-2
Step-by-step explanation:
Area of a room is 500m square. The cupboard takes 6% of the room’s area
a:what is the area of the cupboard
b:The table is 1/10 of the room. Calculate the area of the table.
c: bed has an area of 110m square. What is the percentage of the room is the bed?
Step-by-step explanation:
step 1. 500(.06) = 30m^2 (area of cupboard)
step 2. 500(1/10) = 50m^2 (area of table)
step 3. 110/500 = .22 = 22% (percentage of the bed area in the room).
Jada’s sister works in the furniture store. The store bought a table for $200, and sold it for $350. What percent was the mark up?
Answer:
75%
Step-by-step explanation:
350-200=150
150 is 75% of 200
Answer:
175%
Step-by-step explanation:
350/200 = 175/100
Sorry if it doesn't make sense but if it was 75% then it would be lower than original price.
A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
Answer:
Part A: 6
Part B: 3
Step-by-step explanation:
trust me.
Answer:
6 seconds
After 3 seconds
Step-by-step explanation:
h(t) =-16t^2+96t
a=-16
b=96
c=0
96/2(-6) =3
Max = 3
(0,)
(6,0)
ht/t = 16t^2+96/t
