Step-by-step explanation:
no of days = (15×12)/20= 9 days
I hope this helps
15 students consume it in = (20×12)÷15
= 16 days
A line passes through the point (6,-4) and has a slope of - 4/3.
Write an equation in point-slope form for this line.
Answer:
Step-by-step explanation:
In point-slope form,
y - y1 = m(x - x1)
m = -4/3
x1 = 6
y1 = -3
y + 3 = (-4/3)(x - 6)
A gallon of apple juice is
$7. A pack of eight 4.23
oz box apple juice is
$2.39. Which is a better
deal?
Last winter, the ratio of days with snow to days with no snow was 1.12. Write this ratio as a fraction in simplest form? PLS HELP
9514 1404 393
Answer:
28/25
Step-by-step explanation:
To make the number into a fraction, multiply and divide by 100:
1.12 × 100/100 = 112/100
Recognize that numerator and denominator have a factor of 4 in common:
112/100 = 28×4/(25×4) = 28/25
Explain the three different ways of writing a ratio and provide an example
Answer: The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6."
Step-by-step explanation:
you can write ratios as 3/6 , 3 to 6, or 3:6
Find the equation of the line through the points (−2,5) and (4,9).
Enter your answer in standard form Ax+By=C, where A is a positive integer, and B and C are integers.
9514 1404 393
Answer:
2x -3y = -19
Step-by-step explanation:
Taking the differences between the given points, we have ...
(Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)
The equation of the line can be written ...
Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line
4x -6y = 4(-2) -6(5) = -38
Dividing by 2 gives the standard form equation ...
2x -3y = -19
_____
Additional comment
The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."
Evaluate the expression ab2 + 2ab + a2 for a = 6 and b = 3.
a) 128
b) 126
c) 130
c) 124
Answer:
I believe there is an error with the problem
Step-by-step explanation:
3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84
The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126 so option (b) will be correct.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
ab² + 2ab + a²
Now,
a = 6 and b= 3
So,
⇒ 6(3)² + 2(6)(3) + 6²
⇒ 36 + 54 + 36
⇒ 126
Hence "The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ5
If you can answer this right i'll mark you brainiest
Answer:Think of the equation as an equation for a line
y=mx+b
where in this case
C= 5 /9 (F−32)
or
C= 5 /9 F - 5/9 x 32
You can see the slope of the graph is 5 /9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5 /9 of 1 degree Celsius.
C= 5 /9 (F)
C= 5/9(1)
C=5/9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9/5 degrees Fahrenheit.
C= 5/ 9 (F)
1= 5 /9 (F)
(F)= 9 /5
Since
9/5 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C= 5 /9 (F)
C= 5 /9 x 5/9
C=25/81
(which is≠1)
An increase of 5/9
degree Fahrenheit leads to an increase of
25/81.
, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
Use the 1st derivative test to find the intervals where the function is increasing or decreasing. Please show your work so I can get a better understanding on how you achieved the solution. Thank you.
As the name of the test suggests, you have to compute the derivative:
[tex]f(x) = \dfrac1{2x+3} \implies f'(x) = -\dfrac2{(2x+3)^2}[/tex]
Find where, if at all, the derivative vanishes or is undefined - these are the critical points of f(x).
In this case, the derivative is never 0 since the numerator is constant and the denominator is non-negative. You also see that f '(x) is negative over its entire domain.
The denominator goes to 0 when 2x + 3 = 0, or x = -3/2.
Now split up the domain of f(x) into intervals with endpoints at the critical points. Here, we consider the two intervals, (-∞, -3/2) and (-3/2, ∞).
Take any point from either interval and check the sign of f '(x) at that point. Any points will do, but you should strive to pick one that makes calculations simple.
• From (-∞, -3/2), take x = -2; then f ' (-2) = -2 < 0. Since f '(x) is negative over this interval, f(x) is decreasing over it.
• From (-3/2, ∞), take x = 0; then f ' (0) = -2/9 < 0. Again, this means f(x) is decreasing over this interval.
So, the first derivative test tells us that f(x) = 1/(2x + 3) is decreasing over the intervals (-∞, -3/2) and (-3/2, ∞); in other words, over its entire domain.
For the second function, we have
[tex]f(x) = \dfrac{x+1}{x+3} \implies f'(x) = \dfrac{(x+3)-(x+1)}{(x+3)^2} = \dfrac2{(x+3)^2}[/tex]
Again, there's only one critical point, this time at x = -3 where the derivative is undefined.
• From the interval (-∞, -3), take x = -4; then f ' (-4) = 2 > 0, so f(x) is increasing.
• From the interval (-3, ∞), take x = 0; then f ' (0) = 2/9 > 0, so f(x) is increasing.
Please help me with this problem.
Answer:
yes
no
yes
no
Step-by-step explanation:
You can tell it's negation when the word "not" is used.
Which graph and equation shows a proportional relationship between and y? NEED HELP ASAP!!!
Answer:
y = 0.45x
Step-by-step explanation:
proportional relationships must pass through the point 0,0
both the x and y intercepts must equal 0
A store owner had nine employees and bought nine hundred fifty-one uniforms for them. If he wanted to give each employee the same number of uniforms, how many more should he buy so he doesn’t have any extra?
Answer:
105
Step-by-step explanation:
Divide 951 by 9
-3x + y = 10
solve the equation for Y
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*x+y-(10)=0
Pull out like factors :
-3x + y - 10 = -1 • (3x - y + 10)
The number of hours Darla baby - sat her sister each week for the last 12 weeks is shown below
Answer: the box and whisker plot looks like this, the pink line starts between 8 and 10, the box starts between 10 and 12, the middle is between 14 and 16, the right side of the box is between 18 and 20, and lastly the pink line on the right ends at 22.
Step-by-step explanation: I did the test
solve pls brainliest
Here it should be this
a) 300
b) 1732
Jacob went bowling over the weekend. On Saturday, he bowled at Bowlero, where he
rented shoes for $3.25 and paid $3.75 for each game. On Sunday, he bowled at the
Cowtown Bowling Center, where he rented shoes for $2.50 and paid $4.00 per game.
If he spent the same amount each day, how many games did he bowl? (Let the
number of games played = 2.)
Answer:
3 games played every Day
Step-by-step explanation:
So for Cowtown Bowling Center the cost of shoes is $2.50, and $4.00 per game
Then the Bowler is $3.25 for shoes and 3.75 per game
So to get the answer your gonna wanna set up the equation like
Saterday =$3.25+$3.75(x), then for
Sunday = $2.50+$4.00(x)
The X is how many games so if you plug in the same amount of game in both
Example
Saterday=$3.25+$3.75(2)=$10.75
Sunday = $2.50+$4.00(2)=$10.50
So if you do 3 then the totals will come out to be the same
Answer
Saterday=$3.25+$3.75(3)=$14.50
Sunday = $2.50+$4.00(3)=$14.50
help me figure this out.
Answer:
30; -5 is 5 units away from 0 and V is 25 units away from 0, and 5 + 25 = 30.
Step-by-step explanation:
To find the distance between point T, which has a value of -5, and V, which has a value of 25, we should find the absolute value of each number and then add those numbers together.
So, the absolute value of -5 is 5 and the absolute value of 25 is 25. 25 + 5 = 30, and this is the length of TV.
If you have any further questions or need clarification on anything, let me know!
Help I was absent when she taught this
Answer:
b
Step-by-step explanation:
Fishing Hook G is let down 2 times its present depth. Where is Fishing Hook G?
Answer:
[tex]2g[/tex]
Step-by-step explanation:
In other words, this problem is asking where Fishing Hook G is after it's 2 times deeper. Let g = its previous depth. We do 2 * g = 2g.
Help me please express the simplest radical form
Answer:
The answer is 8√2
Hope this helps
Solve for h in the mathematical formula A=1/2(a+b)h
Step-by-step explanation:
Since we arent given enough information to SOLVE for h, I will get as close as I can by rearranging the equation for h
Convert the fraction to a decimal for simplicity
A = 0.5(a + b)h
Divide both sides of the equals by 0.5
A/0.5 = (a + b)h
We can convert A/0.5 into its reciprocal
2 A = (a + b)h
Divide both sides of the equation by the bracketed (a + b)
(2 A) / (a + b) = h
Rewritten
h = [tex]\frac{2A}{(a + b)}[/tex]I'll give brainliest please help
graphing
both of them please
Step-by-step explanation:
It's easier to graph when both equations are in its slope-intercept form, y = mx + b.
System 1: -3x -15y = 15-2x -10y = 10-2x -10y = 10
-2x + 2x - 10y = 2x + 10
-10y = 2x + 10
-10y/-10 = (2x + 10)/-10
y = -1/5x -1 [slope: -1/5, y-intercept (0, -1)]
-3x -15y = 15
-3x + 3x - 15y = 15
-15y = 3x + 15
-15y/-15 = (3x + 15)/-15
y = -1/5x - 1 [slope: -1/5, y-intercept (0, -1)]
To graph this system, plot the y-intercept, (0, -1) on the graph, then use the slope, m = -1/5 (down 1 unit, run 5 units to the right). Repeat the process until you have enough points to connect and create a line.
Because the given systems of linear equations are equivalent, their lines coincide on top of each other. This means that they have infinitely many points of intersection. Hence, they have infinite solutions.
System 2: 8x + 6y = 244x + 3y = 98x + 6y = 24
6y = -8x + 24
6y/6 = (-8x + 24)/6
y = -4/3x + 4 [slope: -4/3, y-intercept (0, 4)]
4x + 3y = 9
3y = -4x + 9
3y/3 = (-4x + 9)/3
y = -4/3x + 3 [slope: -4/3, y-intercept (0, 3)]
Use the same techniques as described in the first part. Plot the y-intercepts on the graph, then use the slope of each equation to plot other points.
These lines are parallel, which implies that they will never intersect each other. Hence, there's no solution to this system.
Attached are the screenshots of the graphed systems of linear equations.
(6-9d4)-(3d4+4) polynomials
Answer:
2(1 - 6d⁴)
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
(6 - 9d⁴) - (3d⁴ + 4)
Step 2: Simplify
(Parenthesis) Distribute negative: 6 - 9d⁴ - 3d⁴ - 4Combine like terms: 2 - 12d⁴Factor: 2(1 - 6d⁴)) What is 35% of 10?
0.35(10)
Answer:
3.5
Step-by-step explanation:
35% of 10 is the same thing as 0.35(10)
0.35 x 10 = 3 + (0.05 x 10) = 3 + 0.5 = 3.5
-Chetan K
Clayton wants to be a musician. After school one afternoon, he spends half his time practicing his drums and 3/4 of the remaining time on homework and dinner. He spends the remaining 3/4hour talking with and texting his friends. How long did he practice the drums?
Answer:
x - x/2 - (x/2)(3/4) - 3/4 = 0
x = 6
so, he spent 3 hours on the drums.
Patricia visited a friend who lives 120 miles away. On her way there she averaged 60 mph. On the way back, she only averaged 40 mph. What was the total amount of time she spent driving?
Answer:
5 hours
Step-by-step explanation:
120/60= 2
120/40= 3
3+2=5
Please help
Explain the significant of the arithmetic
modulo in solving problems then support your answer with examples.
Answer:
A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00. Simple addition would result in 7 + 8 = 15, but clocks "wrap around" every 12 hours.
Step-by-step explanation:
hope It's can help
Evalute: -|-x+2| for x = -3
What is the equation of a line parallel to y= -1/2x+6 that passes through (-4, 1)?
Please help Please help Please help Please help Please help Please help
Answer:
the answer is b
Step-by-step explanation:
Can anyone help please:)
Answer:
THEORTICAL PROBABILITY:
1A) F
1B) B
1C) A
1D) D,E,F
2A) R
2B) B
3A) odd number
3B) No, same.
3C) less than 5
================
1A) 8/30=4/15
1B) 10/30=1/3
1C) 12/30=2/5
1D) 18/30=3/5
1E) 22/30=11/15
1F) 22/30=11/15
2A) 3/8
2B) 1/8
2C)4/8=1/2
2D) 5/8
2E)3/8
3A) 50
3B) 150
3C) 250
3D) 100
3E) 100
Step-by-step explanation: