Answer: The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].
2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].
3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].
4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].
You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You want to spend less than $750 dollars. How many miles can the limo travel?
Answer: For $750 the limo can travel 333 miles rounded to the nearest mile.
Step-by-step explanation: The formula for solving this problem is:
is the total cost - $750 for this problem
is the fixed cost - $700 for this problem
is the variable rate cost - $0.15 per mile for this problem
is the number of miles traveled - what we are solving for in this problem.
Substituting and solving for
For $750 the limo can travel 333 miles rounded to the nearest mile.The formula for solving this problem is:
is the total cost - $750 for this problem
is the fixed cost - $700 for this problem
is the variable rate cost - $0.15 per mile for this problem
For $750 the limo can travel 333 miles rounded to the nearest mile.
What is m<1?
Plzzz I need help
Answer:
130 bc its the alternate exterior angle of angle D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
interior angle for triangle is 180 if you want to find it you have to find interior angle for d and then 180-70-the interior angle for d and then you will get answer for b2 and then 180-b2 and you will get 120
estimate the value of 9.9²x1.79
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. (The same conditions as in the previous problem). After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank.
(a) Find the concentration, in kilograms per liter, of salt in the tank after 10 min. [Hint: Let A denote thenumber of kilograms of salt in the tank at t minutes after the process begins and use the fact that rate of increase in A = rate of input - rate of exit.
(b) After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank. What will be the concentration, in kilograms per liter, of salt in the tank 20 min after the leak develops?
Answer:
(a) 0.288 kg/liter
(b) 0.061408 kg/liter
Step-by-step explanation:
(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute
The mass of salt exiting the tank per minute = 5 × (5 + x)/500
The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;
Δ/dt = x - 5 × (5 + x)/500
The increase, in mass, Δ, after an increase in time, dt, is therefore;
Δ = (x - 5 × (5 + x)/500)·dt
Integrating with a graphing calculator, with limits 0, 10, gives;
Δ = (99·x - 5)/10
Substituting x = 1 gives
(99 × 1 - 5)/10 = 9.4 kg
The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)
∴ The concentration of the salt and water in the tank after 10 minutes = (5 + 9.4)/500 = (14.4)/500 = 0.288
The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter
(b) With the added leak, we now have;
Δ/dt = x - 6 × (14.4 + x)/500
Δ = x - 6 × (14.4 + x)/500·dt
Integrating with a graphing calculator, with limits 0, 20, gives;
Δ = 19.76·x -3.456 = 16.304
Where x = 1
The increase in mass after an increase in = 16.304 kg
The total mass = 16.304 + 14.4 = 30.704 kg
The concentration of the salt in the tank then becomes;
Concentration = 30.704/500 = 0.061408 kg/liter.
Calculating the salt concentration per liter of water we will find:
(a) [tex]0.288 kg/liter[/tex]
(b) [tex]0.061408 kg/liter[/tex]
The mass of salt entering the tank per minute:
[tex]X= (0.2)( 5) = 1 kg/minute[/tex]
The mass of salt exiting the tank per minute:
[tex]\frac{5 * (5 + x)}{500}[/tex]
The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;
[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]
The increase, in mass, Δ, after an increase in time, dt, is therefore;
[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]
Integrating with a graphing calculator, with limits 0 at 10, gives;
[tex]\Delta = (99X - 5)/10[/tex]
Substituting x = 1 gives:
[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]
The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:
[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]
The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.
(b) With the added leak, we now have;
[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]
Integrating with a graphing calculator, with limits 0 at 20, gives;
[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]
Where x = 1:
[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]
The increase in mass after an increase in = 16.304 kg. The total mass:
[tex]16.304 + 14.4 = 30.704 kg[/tex]
The concentration of the salt in the tank then becomes;
[tex]30.704/500 = 0.061408 kg/liter[/tex]
Learn more: brainly.com/question/11762787
What is -5/8 + 3/4 ?
Answer:
0.125
Step-by-step explanation:
Callie reads 5 pages in 20 minutes. She spends the same amount of time per page.
How long will it take Callie to read 11 pages?
A.50 minutes
B.23 minutes
C.44 minutes
D.65 minutes
Answer:
44
Step-by-step explanation:
You said it
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
PLEASE HELP ME what are the slope and the y- intercept of the liner function that is represented by the graph.
Which of the following statements is FALSE?
All rectangles are parallelograms.
All kites are rectangles.
All parallelograms are quadrilaterals.
All squares are rhombuses.
ALL KITES ARE RECTANGLES
Answer:All kites are rectangles.
Step-by-step explanation: Just did the quiz
James went to the amusement park. He had $20. He spent $5.50 on a hamburger and
$1.25 on a bottle of apple juice. He spent the rest of the money on rides. Each ride costs
$.75. On how many rides did James go?
Please it’s urgent, write the steps.
Answer:
17
Step-by-step explanation:
5.50 + 1.25 = 6.75
20 - 6.75 = 13.25
13.25 / .75 = 17
he will have $0.50 left
Answer:
I know about your account Logridio. I don't know if I should tell Ms. Rragami. ;)
Can anyone help?
Solve for x. SHOW YOUR WORK.
Answer:x=9
Are you in K12 as well ? If so do you have Mrs.Bisslessi I need help with Unit 4.07 the four spheres of earth
Step-by-step explanation:
4x+2=7x-25
2+25=7x-4x
27=3x
X=27 ÷3
X=9
how do you find the = in alterndte exterior angles
Answer:
To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal.
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
You have to find the transversal. Then you have to the interior and exterior angles, and then find it!
Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
Which of the variables is independent and which is dependent?
Independent
[ Select ]
Dependent
[ Select ]
Step-by-step explanation:
independent is questions answered correct
dependent is final test sore.
i think
Someone plz answer
the school jimmy goes to is selling tickets to a fall musical. om the first day of ticket sales the school sold 9 adult tickets and 14 child tickets for $101. The school took in $88 on the second day by selling 12 adult tickets and 7 critical tickets. What is the price each of one adult ticket and one child ticket.
Answer:
if my math is correct it is $4.39
Step-by-step explanation: do not fully trust this
can someone help simplify this 6n+5(10n−7)
Answer:
21n-35
Step-by-step explanation:
6n+5(10n-7)
distribute 5
6n+15n-35
add 6 and 15
21n-35
you cant subtract 21 and -35 because they arent like terms
What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.
Answer:
y=12/10-15.6
Step-by-step explanation:
The slope of the line is [tex]-\frac{6}{5}[/tex].
To understand more, check below explanation.
Slope of line:The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that , points are (-8, -6) and (-18, 6)
So that,
[tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]
Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].
Learn more about the slope of line here:
https://brainly.com/question/3493733
write an expression for each phrase. *will give BRAINLIEST*
5 times the quantity x plus 6
&
32 divided by the quantity y+12
Answer:
5 times the quantity x plus 6
5x + 6
32 divided by the quantity y + 12
[tex]\frac{32}{y+12}[/tex]
Step-by-step explanation:
Pls do mark me brainliest:)
Line a is perpendicular to line b, and neither line is vertical. Which statement(s) below are TRUE? I: The slopes of line a and line b are the same. II: One line has a positive slope, the other line has a negative slope. III: Line a and line b will never intersect. IV: The slope of one of the lines is undefined.
Answer: One line has a positive slope, and the other has a negative slope.
Step-by-step explanation: When lines are perpendicular, that means their slopes are the exact opposite of each other because they intersect at a right angle.
(-5)- 2 x (-9) + 6
i need the answer asap
Add − 9 and 6.
[tex]- 5 - 2x, -3[/tex]
Graph: Y-3 =1/2(x+2)
Answer:
It will pass in between (-8,0) on the x-axis and (0,4) on the y axis
Step-by-step explanation:
Here is the picture, if you ever need help go to desmos.com.
Find the approximate side length of a square game board with an area of 105 square inches
Answer:
I just did gor the points
Step-by-step explanation:
sorry
what is the sum of the place values of the number 6,453
Answer:
Thousands Hundreds Tens Ones6 4 5 3
Step-by-step explanation:
Number x Multiplier = Value6 x 1,000 6,000
4 x 100 400
5 x 10 50
3 x 1 3
Add up all of the values and you get 6,453.
An office building has three air conditioning units, one for each office. Each unit runs only when employees are
working. The tables below show the number of hours employees worked at each office over a three-month period
and the total air conditioning electric costs for the entire office for each month.
June
July
August
Number of Hours Worked
Unit A
Unit B
184
207
174
198
168
189
Unit C
276
264
242
w
Total Air Conditioning Electric Costs
June
$142.60
July
$135.96
August
$128.30
How much does it cost to run Unit A per hour?
Answer:0.22
Step-by-step explanation:
Answer:$0.22
Step-by-step explanation:
EDGE
Jill spends $525 for monthly bills. Of this amount she spends 110 on her cell phone bill and 25% on her car payment. The remainder pays her utilities. How much money does she spend on utilities?
Answer:
283.75
Step-by-step explanation:
525/4=131.25
131.25+110=241.25
525-241.25=283.75
is X -3 + Y3 in the simplest form
Answer:
I believe it's Y but I'm not 100 percent sure
Slove 4(5x-2)= 2(9x+3)
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?
Answer:
210
Step-by-step explanation:
According to this question, y varies directly with x. Mathematically, This means that:
y =kx
Where k is the constant variable
If y=30 and x=0.75, then k will be;
k = y/x
k = 30/0.75
k = 40
Since k = 40,
y = 40x
Therefore, when x=5.25, the value of y will be:
y = 40x
y = 40 × 5.25
y = 210.
Can anyone tell me what the correct answer for this is? Thank you.
Answer:
3x^2-5x-2
Step-by-step explanation:
(9x^3-18x^2-x+2)÷(3x-1)
[9x^2(x-2)-(x-2)]÷(3x-1)
[(x-2)×(9x^2-1)]÷(3x-1)
(x-2)×(3x-1)×(3x+1)÷(3x-1)
(x-2)×(3x+1)
3x^2-x-6x-2
3x^2-5x-2
What is 5g When is g Is 3?
Answer:
15
Step-by-step explanation:
5g
g becomes 3, so 5*3
=15
Answer:
15
Step-by-step explanation:
5g g=3
5(3)
15
Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me
