Answer:
The maximum number of chairs he can buy is C ≤ 22
Step-by-step explanation:
Let B represent the number of beds the hotel manager can buy.
Let C represent the number of chairs the hotel manager can buy.
Putting this into an expression, we have:
150B + 50C ≤ 2000
Since the hotel manager buys 6 beds, putting this into the information above:
150 (6) + 50C ≤ 2000
900 + 50C ≤ 2000
50C ≤ 2000 - 900
50C ≤ 1100
C ≤ 22
p^2-4p=1
step by step explanation pleaseee
Answer:
[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]
Step-by-step explanation:
A second-degree equation is often expressed as:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The equation to solve is:
[tex]p^2-4p=1[/tex]
We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:
[tex]p^2-4p-1=0[/tex]
Now we have the values to solve the equation:
a=1, b=-4, c=-1
Applying the formula:
[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]
[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]
Since 20=4*5:
[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]
Taking the square root of 4:
[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]
Simplifying by 2:
[tex]p=2\pm \sqrt{5}[/tex]
Two solutions are found:
[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]
A realtor and 6% Commission on every house she sells how much money would she earn if she sells the house for 350,000?
Answer:
350000 * 0.06 = 21,000
Step-by-step explanation:
i think its 21,000 commission because 6% of 350000 is 21,000
Example 1:
Jose opens a savings account with principal P dollars that pays 5% interest, compounded
quarterly. What will his ending balance be after one year?
Answer:
Step-by-step explanation:
Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true.
5x+6=7x+5-2x5x+6=7x+5−2x original equation
5x+6=7x-2x+55x+6=7x−2x+5 apply the commutative property
5x+6=5x+55x+6=5x+5 combine like terms
6=56=5 subtract 5x from each side
What can Han conclude as a result of these acceptable steps?
Answer:
no solution
Step-by-step explanation:
5x+6=7x+5-2x original equation
5x+6=7x-2x+5 apply the commutative property
5x+6=5x+5 combine like terms
6=5subtract 5x from each side
Since this is never true, there is no solution
Answer:
There's no value of x that can make the equation 5x+6=7x+5-2x true.
Step-by-step explanation:
f(x) = 2x^2 Find f(-3)
fill the form regarding the features of this graph
Answer:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
Step-by-step explanation:
We have the graph of f(x).
In general, remember these points:
If the end behavior of the graph is the same, then the function must be an even degree function. If the end behaviors are different, then the function must be an odd degree function.For even-degree functions:
If both end behavior goes towards positive infinity, then the leading coefficient is positive. If both end behavior goes towards negative infinity, then the leading coefficient is negative.And for odd-degree functions:
If the right end-behavior goes towards positive infinity, then the leading coefficient is positive. If the right end-behavior goes towards negative infinity, then the leading coefficient is negative.P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!
Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.
Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.
The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).
The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).
Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).
So, you can see that our minimums will always be between a decreasing and then an increasing curve.
So, our solution is:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
And we're done!
Which of the following is correct about parallel lines?
A. Nonvertical parallel lines will have the same slope and y-intercept.
B. The slope of nonvertical parallel lines will be m and −m.
C. Nonvertical parallel lines will have the same slope but different y-intercepts.
D. The product of the slope of the two lines would be −1.
Answer:
C. Nonvertical parallel lines will have the same slope but different y-intercepts.
Step-by-step explanation:
Parallel lines never intersect, so they must have the same slope. The reason why option A is incorrect is because if they had the same y-intercept, they would be considered the same line directly on top of each other, and parallel lines never touch. :)
Nonvertical parallel lines will have the same slope but different y-intercepts. Then the correct option is C.
What is the equation of a parallel line?When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The slope of the parallel line will be congruent. And the product of the slopes of the perpendicular lines will be negative 1.
Nonvertical parallel lines will have the same slope but different y-intercepts. Then the correct option is C.
More about the equation of a parallel line link is given below.
https://brainly.com/question/402319
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Will give brainiest!!!
2. Solve for x. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°
▪ Answer:
x = 9
▪ Step-by-step explanation:
Hi there !
opposite angles
4x + 2 = 7x - 25
2 + 25 = 7x - 4x
27 = 3x
x = 27 ÷ 3
x = 9
Good luck !
Answer:
x = 9
Step-by-step explanation:
opposite angles
4x + 2 = 7x - 25
2 + 25 = 7x - 4x
27 = 3x
x = 27 ÷ 3
x = 9
What’s 3.9 divided by 22.23 :)
Answer:
0.1754
Step-by-step explanation:
Use a calculator
Answer:
5.70 hope that helped :)
If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?
3
3.2
4
4.6
Answer:
c. 4
Step-by-step explanation:
I took it on the test and it was right. Hope this helps!
Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint. A histogram titled I Q Scores has I Q score on the x-axis and frequency on the y-axis. 93 to 96, 1; 96 to 99, 3; 99 to 102, 5; 102 to 105, 8; 105 to 108, 2; 108 to 111, 7; 111 to 114, 7; 114 to 117, 2; 117 to 120, 1. In which interval is the median located?
Answer:
102-105
Step-by-step explanation:
Median formula for a group data is expressed as shown;
Median = (N+1)/2 th value/interval
N is the total number of students
From the question N = 36
Median = (36+1)/2
Median = 37/2
Median = 18.5
Therefore we are to cumulate the value of the frequency up till the 18.5th value.
From the table
If we keep cummulating the frequency from the top;
Let's add:
1+3+5+5+8 = 21
Since the 18.5th values falls within the cumulative frequency value (i.e 21), the corresponding interval where we stopped cumulating will be our Median.
From the table, the interval with the frequency of 8 is 102 - 105. Hence the median is located at the interval 102 - 105
Answer:
102-105
Step-by-step explanation:
edge
A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calculated the sale price.
Answer:
Step-by-step explanation:
A store has a 20% sale on everything.
So since you are saving 20%, you will only be paying 80% of the original price.
To find the sale price use the following formula:
Sale price = 80% x original price
They told us the original price = 350 AED
This means:
Sale price = 80% x 350
I think it would be easiest to change 80% into a fraction if you don't have a calculator :)
80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]
This means that the
Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED
Find 3/5of 100 and find 4/7 of 12
Step-by-step explanation:
The answers are 60 and 6.86
There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?
Answer:
8.9 seconds
Step-by-step explanation:
When caroline catches sam after some time lets say t
distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.
Given
Let the time taken by Caroline to catch sam is t seconds
distance covered by Caroline in t seconds = speed of caroline*t
distance covered by Caroline in t seconds = 31 * t
distance covered by Caroline in t seconds = 31t feet
distance covered by sam in t seconds = speed of sam*t
distance covered by sam in t seconds = 22 * t
distance covered by sam in t seconds = 22t feet
distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds
thus,
distance covered by Caroline in t seconds = distance covered by sam in t seconds + 80 feet
31t = 22t + 80
subtracting 22t from both sides
=> 31t - 22 t = 80
=> 9t = 80
=>t = 80/9 = 8.9 seconds
Thus,
it will take 8.9 seconds for Caroline to catch Sam
Which graph best represents hellppp.
Answer:
C
Step-by-step explanation:
The negative slope of -1/3x will go down 1 and right 3 as it decreases. The +2 is where the y axis is intersected.
What are the three categories of municipality in nepal
What type of function is represented in the table?
Х
0
-7
1
-2
2
3
3
8
4
13
5
18
y
quadratic
exponential
O logarithmic
O linear
Answer:
Linear
Step-by-step explanation:
The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.
The given table is representing linear function. So Option B is correct.
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Given that,
A table
x 0 1 2 3 4 5
y -3 5 13 21 29 37
Lets us first check that data for linear relationship,
Consider a function,
y = mx + c
lets put value (0, -3)
-3 = m0 + c
c = -3
y = mx -3
Now putting second point
5 = mx1 -3
m = 8
y = 8x - 3
If third point satisfies the given condition
then it will be linear function
x = 2 & y = 13
y = 8x -3
13 = 8x2 - 3
13 = 13
hence proved
Thus, the given table represents the linear function.
To know more about Functions check:
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Solve the equation.
-5=x+3
Ox=3
Ox=-3
Ox=8
Ox=-8
The gross income, in dollars, that a company makes from selling x items can be modeled by the expression 3x2 + 2x +4. It costs the company 2-3x + x2 dollars to make x items. Which expression represents the company’s profit if it makes and sells x items
Determine the line of symmetry for
Find f'(x) for f(x) = cos^2(3x^3).
[tex]f(x) = \cos^2(3x^3)\\f'(x) = \frac{d}{dx}[\cos^2(3x^3)]\\= 2\cos(3x^3) \cdot \frac{d}{dx}[cos(3x^3)]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot \frac{d}{dx}[3x^3]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot 9x^2\\= -18x^2\cos(3x^3)\sin(3x^3)[/tex]
sarah has 20 apples, but then sandy took 1/2 of it. How much did she took?
Answer:
10
Step-by-step explanation:
divide 20 by 2. so the answer is 10.
The amount $1.26 is 6% of what price? (1 point)
оа
ob
Ос
Od
$20.16
$21.00
$67.56
$75.60
Answer:
$21.00
Step-by-step explanation:
we can solve easly like this
if 6%=1.26
100%=?
100%*1.26/6%=126%/6%
=$21
therefore $21's 6%is $1.26.
i think the answer is clear i hope it helps you
FOR BRAINLIEST!!!!!!
Just do 15. And 17.
Answer:
15= A=11138
17= A≈57.43
Step-by-step explanation:
15) A=2(wl+hl+hw)
17) A=2πrh+2πr^2
What 1.5 feet above ground in fraction?
Answer:
1 1/2 or 3/2
Step-by-step explanation:
solve the equation for the indicated variable (For R)
[tex]v = \frac{r - s}{2} [/tex]
Answer:
[tex]r=2v+s[/tex]
Step-by-step explanation:
[tex]v=\frac{r-s}{2}\\\\2(v)=2(\frac{r-s}{2})\\\\2v=r-s\\\\r-s=2v\\\\r-s+s=2v+s\\\\r=2v+s\\\\\dagger[/tex]
Answer:
Your answer is: r= 2v+s
Solve for r by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
Find the number that makes the ratio equivalent to 2:3.
16:?
Answer:
16:24
Step-by-step explanation:
Write this [tex]\frac{2}{3}[/tex] [tex]\frac{16}{x}[/tex] (Cross multiply)
16*3 = 2*x
48 = 2x (divide by 2)
24 = x
Hope this helped!!!
Two cars are 350 miles apart when they start moving towards each other. The cars are moving with the speeds of 65 mph and 75 mph. How long after they leave will the distance between them be 70 miles?
How long after the cars leave will they be 70 miles apart for the first time?
Answer:
2 hours
Step-by-step explanation:
what is the highest number of degrees an angle can have A 360 B 180 C 90 D 270
Answer:
360
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
An angle can range from 0 to 360 degrees.
Envision mathematics common core volume 1 book page 195
Answer:
?
Step-by-step explanation: