A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities?
x + y ≤ 50
x ≥ 20
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything below the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the left of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything above the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
Answers
Answer: On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
Step-by-step explanation:
x = # of stools = 20
y = # of recliners = 50-20 = 30
Answer:
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
Related Questions
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: startfraction 2 over x squared minus 36 endfraction minus startfraction 1 over x squared 6 x endfraction = startfraction 2 over (x 6) (x minus 6) endfraction minus startfraction 1 over x (x a) endfraction. = startfraction b x over (x 6) (x minus 6) x endfraction minus startfraction x minus c over (x 6) (x minus 6) x endfraction. = startfraction d x minus x e over (x 6) (x minus 6) x endfraction. = startfraction x f over (x 6) (x minus 6) x endfraction. = startfraction g over x (x minus 6) endfraction a = b = c = d = e = f = g =
Answers
The values for the highlighted variables that show how to subtract the rational expressions correctly are a = 6, x^2 + 6x is equal to x(x+6), and b=2.
How to explain rational expressions?From the informaation, the denominator and numerator of the first term are multiplied by x.
The second term is multiplied by (x-6)/(x-6).
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term. In the same way as d is carried over from b, e is carried over from c.
We factor out the (x+6) from the numerator and denominator.
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Construct a confidence interval using a sample of size 15, with a sample standard deviation of 1.45, a sample mean of 5.3, and a confidence level of 90%. Write your answer EXACTLY as is given by Excel. Do not round.
Answers
A confidence interval is the mean of the estimate plus and minus the variation in that estimate.
How to depict the confidence interval?
From the excel, Confidence.T(0.10,1.45,15)
Margin of error = 0.659414066
Lower limit will be;
= mean-0.659414066
= 5.3 - 0.659414066
= 4.640585934
Upper limit will be:
= mean+0.659414066
= 5.3+0.659414066
= 5.959414066
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Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.
Answers
Answer:
[tex]4300 + 100x[/tex]
Step-by-step explanation:
The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.
The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.
Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.
That is the answer
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HELP ASAP PLS
Which graph represents function gif 9(x) = ƒ(2x)?
(Purple graph is the f(x))
Answers
Answer:
A (correctly marked)
Step-by-step explanation:
The graph of g(x) = f(2x) will be the graph of f(x) horizontally compressed by a factor of 2. The horizontal compression moves each point on f(x) to a distance half as far from the y-axis.
__
The graph of f(x) shows a vertical asymptote at x=2 so the graph of g(x) will have a vertical asymptote at x=1. Only Graph A shows a vertical asymptote at x=1.
Which expression is equal to -4-9?
Answers
Answer:
-4+(-9)
Step-by-step explanation:
if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum
A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section.
I’m really confused, please give an easy and understanding answer.
Answers
Answer:
4meters
Step-by-step explanation:
friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.
A goat race is 325 meters long. An ant race is 75 centimeters long.
How much longer is the goat race than the ant race in meters?
Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
Question 2
Step 2: Determine how much longer the goat race is than the ant race in meters.
Answers
The goat race is 324.25 meters longer than the ant race .
How to find the distance differences?
The goat race is 325 meters long. The ant race is 75 centimetres long.
The goat race is in meters while the ant race is in centimetres.
Let's convert the ant race to meters.
Hence,
1 cm = 0.01 m
75 = ?
cross multiply
Ant race = 0.75 meters
Therefore, let's find the difference between the goat race and the ant race.
325 - 0.75 = 324.25 meters.
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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
So=75 cm ÷ 100 = 0.75 m
Step-by-step explanation:
Step 2: Determine how much longer the goat race is than the ant race in meters.
o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.
Remember to line up the decimal points and add zeros as plac
eholders. The difference of 325 and 0.75 is 324.25.
The goat race is 324.25 meters longer than the ant race.
what is the circumference of a circle that has a diameter of 12 feet
Answers
Answer:
i think it's 37.7
Step-by-step explanation:
Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?
A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2
Answers
what is the 8th term in the following sequence? 27, 39, 51, 63
Answers
Answer:
the 8th term = 111Step-by-step explanation:
39-27=12
51-39=12
63-51=12
It’s clear that ,in this sequence we add 12 each time to a term to get the next term.
This means that this is an arithmetic sequence with a common difference of 12.
Therefore,
Term1 = 27 ; Term2 = 39 ; Term3 = 51 ; Term4 = 63
Term5 = 75
Term6 = 87
Term7 = 99
Term8 = 111
Method 2 :
Un = U1 + (n-1)r
r is the common difference = 12
U1 = 27 is the first term
Then
U8 = 27 + (8-1)×12
= 27 + 7×12
= 27 + 84
= 111
i met at the movies at 6:45 we were picked up at 8:15
Answers
Answer:
1 hour and 30 minutes
[tex]t = ch + td = fh[/tex]
where ch is current hour, td is time distance, and fh is final hour.
to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.
[tex]cm(45) - fm(15) = 30[/tex]
If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".
[tex]t = (cm - fm) + eh = 1:30[/tex]
When are two triangles similar? Select all that apply.
All three of their corresponding angles have the same measure.
Two of their corresponding angles are the same angle measure.
Only one of their angles match.
All ratios of corresponding sides are proportional.
Two of their corresponding sides are in the same ratio.
Answers
Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.
What is a triangle?A triangle is a polygon with three sides and three angles.
Types of triangles
Equilateral triangleScalene triangleIsosceles triangleTwo triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.
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If two supplementary angles are in the ratio of 7: 8 ,find them.
Answers
Answer:
84° and 96°Step-by-step explanation :
Given :
Two supplementary angles are in the ratio of 7: 8To Find :
The two anglesSolution :
Let the angles be 7x and 8x respectively
As We know that, Sum of supplementary angles is always 180°
So, Adding Both the angles,
→ 7x + 8x = 180°
→ 15x = 180°
→ x = 180/15
→ x = 12
Hence,
7x = 7(12) = 84° 8x = 8(12) = 96°Therefore,
The required angles are 84° and 96°4^3 times 4^? = 4^-3. what number is ?
Answers
Answer:
x = -6
Step-by-step explanation:
Let[tex] \: 4^3\times 4^{x}=4^{-3}[/tex][tex] \implies 4^{3+x}=4^{-3}[/tex][tex] \implies {3+x}= {-3}[/tex][tex] \implies {x}= {-3-3}[/tex][tex] \implies {x}= {-6}[/tex][tex] \implies\huge{\red{ 4^3\times 4^{-6}=4^{-3}}}[/tex]
A ball is projected up into the air from the surface of a platform to the ground below. The height
of the ball above the ground, in feet, is modeled by the function f(t) = -16t2 + 96t + 112, where
t is the time, in seconds, after the ball is projected.
State the coordinates of the vertex. Explain what it means in the context of the problem
Answers
The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height of the ball is given by:
f(t) = -16t² + 96t + 112.
Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:
[tex]x_v = -\frac{96}{2(-16)} = 3[/tex][tex]y_v = -\frac{96^2 - 4(-16)(112)}{4(-16)} = 256[/tex]The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
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Solve This please!
Divide twice the variable x by the summation of z and y.
Answers
Answer:
2x/z+y
Step-by-step explanation:
What is the mean absolute deviation of 3 3 1 9 3 1 8
Answers
Answer:
2.57 or rounded to 1 sig digit just 3
A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold
Answers
Answer:
251,991 tons of ore are need to obtain 126 tons of gold.
Step-by-step explanation:
Whats the answer to this
Find n 2\8 = 14n n=?????
Answers
Answer:
n = ±0.13363
Step-by-step explanation:
2/8 - (14*n*(n))=0 • Use this formula for proof
2/8 = 1/4 A^2 - AB + BA - B^2 =
1/4 - 14n^2 = 0 A^2 - AB + AB - B^2 =
14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4 A^2 - B^2
1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4
1 - 56n^2 ÷ 4 = 0
1-56n2 ÷ 4 • 4 = 0 • 4
1-56n^2 = 0
56n^2 = 1
n^2 = 1/56 = 0.018
n ≈ ±0.13363
find the solution to the system of equations. Y=2x+2
Answers
Answer:
[tex](0, 2)[/tex]
Step-by-step explanation:
From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)
Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]
Pls solve 3c for me.will mark branliest a
.
Answers
Step-by-step explanation:
if you could solve 3a and 3b, you can also solve 3c. it is the same principle.
x-intercepts means y = 0.
remember, a square root has always 2 results : a positive and a negative one.
3c
0 = -(x - 3)² + 25
(x - 3)² = 25
x - 3 = ±5
x1 = +5 + 3 = 8
x2 = -5 + 3 = -2
3a
0 = (x + 1)² - 4
4 = (x + 1)²
±2 = x + 1
x1 = +2 - 1 = 1
x2 = -2 - 1 = -3
3b
0 = (x + 2)² - 9
9 = (x + 2)²
±3 = x + 2
x1 = +3 - 2 = 1
x2 = -3 - 2 = -5
Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts of the cone. which letter indicates the height? which letter indicates the radius? which letter indicates the diameter? which letter indicates the vertex?
Answers
The parts of the cone can be explained as;
The height is ABThe radius is CBThe diameter is CDThe vertex is AWhat is a cone ?A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.
Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.
Therefore, Vertex is at the top of the cone which is point A.
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Answer:
b
c
d
a
Step-by-step explanation:
;)
A car starts from an office building, which is 5 miles east and 2 miles south of the town center. The car travels 6 miles north, makes a left turn and then travels 8 miles. What is the car’s final position? What single translation vector moves the car from its starting position to its final position?
Answers
Answer:
[tex]\displaystyle \binom{-8}{6}[/tex]
Step-by-step explanation:
The car's starting position is 2 miles south of the town center. If it travels 6 miles north, then it will be 4 miles north of the town center.
The car's starting position is 5 miles east of the town center. If it travels 8 miles west, it will be 3 miles west of the town center.
Therefore, its final position is 4 miles north and 3 miles west of the town center.
If the car travels 6 miles north from it's starting position, the y-value of the vector will be 6, as the car is moving in a positive direction along the y-axis.
If the car travels 8 miles left, the x-value of the vector will be -8, as the car is moving in a negative direction along the x-axis.
Therefore, the single translation vector that moves the car from its starting position to its final position is:
[tex]\displaystyle \binom{x}{y}=\binom{-8}{6}[/tex]
triple the sum of x and 5
Answers
Answer:
The expression becomes 3(x+5) = 3x+15
Find the value of x and y
Answers
Answer:
x = 26, y = 120
Step-by-step explanation:
First we will find x.
We know that 3x-18 = 2x+8 because they are corresponding angles
Now we can solve for x
3x-18 = 2x+8 | subtract 2x from both sides
x-18 = 8 | add 18 to both sides
x = 26
Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)
This means we can solve for y using the following :
3x-18 + y = 180 | substitute x for 26
3(26)-18 + y = 180 | simplify
60 + y = 180 | subtract 60 from both sides to isolate y
y = 120
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please slove question 5
Answers
Answer:
2,160 mm³
Step-by-step explanation:
Q5
V = 1/2 × lwhV = 1/2 × 24 × 10 × 18V = 12 x 10 x 18V = 216 x 10V = 2,160 mm³Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for
rental-20 big bombs and 5 midsize cars. If two cars are selected at
random, what is the probability that both are big bombs?
Answers
The probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.
Total number of outcomes = C(25, 2) = 300
Total number of favorable outcomes = C(20, 2) = 190
Probability = 190/300 = 19/30 or
= 0.63
Thus, the probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.
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do the math please. i need it nowwwwww
Answers
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
What is an Algebraic Equation?An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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Percentage:
A shop has 150 gaming pc. They sold 30.
Find the percentage of the PC that they have not sold.
Answers
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
Please help me out! Need this done ASAP!
Answers
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6