Answer:
x= -3 and y = 6
Step-by-step explanation:
so basically what you are trying to do is reduce into finding x and y
what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which
so,...
we can do
either 20x or 15y
we will go with the smallest 15y
so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second
5 x 5x+3y=3 --> 1
3 x 4x+5y=18 --> 2
we then get
25x+15y = 15 -->1
12x + 15y = 54 -->2
then now that you have the same Y values you can subtract ! which cancels out both the 15y
25x+15y = 15 -->1
- 12x + 15y = 54 -->2
13x =-39
so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with !
x = -3
5(-3) +3y =3
-15 + 3y = 3
3y = 3+15
3y=18
y = 6!
Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).
Answer:
See below ~
Step-by-step explanation:
Let :
x = people donating $15 when you runy = people donating $25 when you runTwo inequalities created are :
15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2Solving
Let the people paying $15 be "x" and $25 be "y"
1st inequality
15(x) + 25(x) ⩾ $1500
2nd inequality
x + y ≤ 100
permutasi dari kata
- jisoo
- cantik
- sudah
note: ...
Eh?..
\( \: \: \: \)
Answer:
jisoo = 60 word ordercantik = 720 word ordersudah = 120 word orderStep-by-step explanation:
"jisoo"
j = 1
i = 1
s = 1
o = 2
element total = 5double element = letter o(2)\(p = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2} \)
P = 60 word order
------------
"cantik"
c = 1
a = 1
n = 1
t = 1
i = 1
k = 1
element total = 6double element = -\(p = n! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
P = 720 word order
------------
"sudah"
s = 1
u = 1
d = 1
a = 1
h = 1
element total = 5double element = -\(p = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
P = 120 word order
WILL MARK BRAINLIEST!!
Answer:
area of hexagon = 600√3 m²
explanation:
apothem² = 20² - 10² = 400 - 100 = 300
apothem of hexagon = √300 = 10√3 m²
area of hexagon = 1/2(6 x 20)(10√3) = 600√3 m²
Answer:
Step-by-step explanation:
One way to find the area of the hexagon is to use the formula \(A=\frac{1}{2}ap\), where p is the perimeter and a is the apothem (distance from the center to the midpoint of one side).
The problem says the side length is 20, so the perimeter is 6 x 20 = 120.
The apothem is the distance marked by the dotted line. The rectangles height is \(20\sqrt{3}\), so the apothem is half of that, \(10\sqrt{3}\).
The area is \(\frac{1}{2}\cdot 10\sqrt{3} \cdot 120=600\sqrt{3}\)
Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same monthly profit model given byP(x) = -7x^2 + 980x - 10900where x represents the number of apartments rented in a month and P(x) is in dollars.(a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits.Number of apartments =Maximum monthly profit =dollars(b) Assuming Happy Valley Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits.Number of apartments =Maximum monthly profits =dollars
The maximum monthly profit Mt. Nittany is $23,100 and, for Happy Valley Rentals, monthly profits will be approximately $23,100.
(a) To find the number of apartments Mt. Nittany should rent out each month to maximize profits, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900.
The x-coordinate of the vertex is given by -b/2a, where a = -7 and b = 980. So, x = -b/2a = -980/(2*(-7)) ≈ 70.
The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.
(b) Similarly, for Happy Valley Rentals, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900 when they manage 50 apartments.
The x-coordinate of the vertex is again given by
b/2a, where a = -7 and b = 980, but now we have x = -b/2a = -980/(2*(-7)) ≈ 70.
The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.
Therefore, both companies should rent out 70 apartments each month to maximize their profits, and their maximum monthly profits will be approximately $23,100.
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A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number less than 2.
35 over 60
25 over 60
13 over 60
12 over 60
Experimental probablity will be - 12 over 30
Answer: D: 12/60 (12 over 60)
Step-by-step explanation:
Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as $0.50 for each ride, r. The expression 0.50r + 20 represents this situation. Evaluate this expression when r = 15. Explain what this value means in terms of the context of Stephanie's visit to the amusement park.
Answer:
Step-by-step explanation:
0.50(15)+20=x
7.50+20=x
27.5=x
Therefore, x means how much the visit to the amusement park will cost her.
a 15 foot tree casts a shadow 20 3/4 feet long at the same time a nearby building casts a shadow 166 feet long, how tall is the building
Answer: the height of the tree is 27 feet
Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.
h s
h 15 = 18
10
Cross multiply
10 ⋅ h = 18 ⋅ 15
10 h = 270
Use the multiplicative Inverse
10
h
10
=
270
10
h = 27
Squere root of 23 is between which two consecutive integers ?
Answer:
4 and 5
Step-by-step explanation:
4^2 = 16
5^2 = 25
Which of these would be a good image to help you picture the meaning of the
word acrimonious?
A. Someone jumping rope
B. A person posing for a photograph
OC. A cockroach on a wall
D. Two people with raised fists
Answer: D. Two people with raised fists
Step-by-step explanation:
the word acrimonious means
1.
figuratively Angry, acid, and sharp in delivering argumentative replies bitter, mean-spirited, sharp in language or tone.
2.
archaic Harsh and sharp, or bitter and not pleasant to the taste; acrid, pungent.
how to find total surface area of a triangular prism
Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh
Now, According to the question:
The surface area of a triangular prism is also known as the total surface area. Therefore, it is calculated using the formula, Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh; where:
b is the bottom edge of the base triangle,h is the height of the base triangle,L is the length of the prism andS1, S2, and S3 are the three edges (sides) of the base triangle(bh) is the combined area of the two triangular faces [2 × (1/2 × bh)] = bhLearn more about Surface area of a triangular prism at:
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Please help !
I will mark brainliest to the correct solution.
The solution to the above problem in volving a pseudo compass and mathematical operations is 1.5
HOw is this so ?Note that every move is one degree depicted by the number in the box where you stop. So we have
1S/1W = 9/6= 1.5
+ 1E/1N = (9/0) = 0
Thus, 1.5 + 0 = 1.5.
An operation in mathematics is a function that accepts zero or more input values and produces a well-defined output value. The operation's arity is determined by the number of operands.
The order of operations is a rule that specifies the right sequence of actions to be taken while evaluating a mathematical equation. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
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The two dot plots below show the number of miles run by 14 students at the start and end of the school year. 100 points and brainliest
Mean for start of school year is 6.5; Mean for end of school year is 7.2.
Median for start of school year is 6.5; Median for end of school year is 7.
How to Find the Mean and Median of a Data Set from a Dot Plot?To find the means, list out each data value given for each dot plot and calculated the mean.
Mean for start of school year:
We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9
Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14
= 91/14
Mean ≈ 6.5
Mean for end of school year:
We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9
Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14
= 101/14
Mean ≈ 7.2
Median represents the middle data value in a data set, therefore:
Median for start of school year = ( 6 + 7)/2 = 6.5
Median for end of school year = ( 7 + 7)/2 = 7
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Circle the rational numbers
\(0.0100100010001...\)
\( \sqrt{50} \)
\(3 \frac{2}{3} \)
\(\pi\)
\( \frac{ {3}^{ - 3} }{4} \)
\(0.333333333\)
\( { - 4}^{0} \)
\(0.29173917\)
Answer:
All of them are rational except for 0.0100100010001, root50, and pi
rational = no forever decimal these are the ones that arent rational
Hope this helps plz hit the crown :D
Hey, can someone help me please ASAP with an explanation
Answer:
h=4cm
Area of triangle=1/2bh
1/2×8×6=72
pleas please help me !!
“A relation contains to points (-5,-10) (-2,-4) (-1,-2) (4,8) and (5,10) is this a function?
please explain how you did the work step by step pls!!!
Answer:
This is a function and there is no value of x for which we will get two or more different values of y.
Step-by-step explanation:
Now, this is a function and there is no value of x for which we will get two or more different values of y
The equation is y = 2x
bye
Who ever can answer questions 3,4, and 6 will get 30 pts
Answer:
See below.
Step-by-step explanation:
6.)
y - 2 = 3(x - 6)
y - 2 = 3x - 18
y = 3x - 16
4.)
y - (-2) = 3(x - 5)
y + 2 = 3x - 15
y = 3x - 17
3.)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 1
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Cynthia wants to buy a round photo frame for her brother. the radius of the photo frame is 9 cm. what is the photo frame circumference?
Answer:
I don't know
Step-by-step explanation:
You gave me the wrong answer on study island.
at least how many integers must you pick in order to be sure that at least four of them are equal modulo 5?
The least number of integers to pick to be sure that at least four of them are equal to modulo 5 are 16 integers .
In the question ;
We have to find the least number of integers to be sure that at least four of them are equal to modulo 5 .
this question means that , we have to find the integers we must pick in order to be sure that at least two of them have same remainder when divided by 15 .
We take ⇒ 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
So , we have 0 \(=\) 5 \(=\) 10 \(=\) 15 in mod 5
Thus , we need 16 integers so that at least Four of them are equal to mod 5.
Therefore , the least number of integers is 16 .
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The area of a rectangle is x^2 - 6x - 7 with a width of x - 7. What is the lenght?
\( {x}^{2} - 6x - 7 = (x - 7)(x + 1) \\ \)
\(width = (x - 7)\)
So
\(length = (x + 1)\)
Just it...
So we're done.
Thanks for watching buddy good luck.
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ilsa is as old as meghan will be in five years. the difference between ed’s age and meghan’s age is twice the difference between ilsa’s age and meghan’s age. ed is 29. how old is ilsa?
Ilsa is currently 39 years old.
How old is Ilsa given age differences?Let's start by defining the variables:
Let "I" be the current age of IlsaLet "M" be the current age of MeghanFrom the given information, we can create two equations:
I = M + 5 (Ilsa's age in five years will be the same as Meghan's current age)Ed - M = 2(I - M) (the difference between Ed's age and Meghan's age is twice the difference between Ilsa's age and Meghan's age)We know that Ed is 29, so we can substitute this value into equation 2:
29 - M = 2(I - M)
Simplifying this equation, we get:
2M - I = 29
Now we can use equation 1 to substitute I with M + 5:
2M - (M + 5) = 29
Simplifying this equation, we get:
M = 34
Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:
I = M + 5 = 34 + 5 = 39
So Ilsa is currently 39 years old.
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use the geometric properties and theorems you have learned to solve for x
PLS HELP
Answer: 20
Step-by-step explanation:
*This is a supplementary Angle (adds up to 180 degrees)
5x+12+68=180
5x+80=180
*subtract 80 on both sides
5x=100
*divide both sides by 5
x=20
Use the worked example above to help you solve this problem. A typical jetliner lands at a speed of 159 mi/h and decelerates at the rate of (11.7mi/h)/s. If the jetliner travels at a constant speed of 159mi/h for 1.5 s after landing before applying the brakes, what is the total displacement of the jetliner between touchdown.on.the runway and coming to rest? differs from the correct answer by more than 10%. Double check your calculations. m EXERCISE HINTS: GETTING STARTED । A jet lands at 54.1 m/s, the pilot applying the brakes 2.27 s after landing. Find the acceleration needed to stop the jet within 5.80×10
2
m after touchdown. m/s
2
The total displacement of the jetliner from touchdown to coming to rest is approximately -120.01 meters.
The negative sign indicates that the displacement is in the opposite direction of the initial motion.
To solve this problem, we can use the equations of motion to calculate the total displacement of the jetliner.
Given:
Initial speed of the jetliner (v₀) = 159 mi/h
Deceleration rate (a) = -(11.7 mi/h)/s
Time after landing before applying the brakes (t₁) = 1.5 s
We need to find the total displacement of the jetliner from touchdown to coming to rest.
First, let's convert the initial speed from miles per hour to meters per second (since the deceleration is given in m/s²):
v₀ = 159 mi/h × (1.609 km/mi) × (1000 m/km) × (1/3600 h/s)
≈ 71.12 m/s
To find the time it takes for the jetliner to come to rest after the brakes are applied, we can use the equation:
v = v₀ + at
Since the final velocity (v) is 0 m/s (since it comes to rest), we can rearrange the equation to solve for the time (t₂):
0 = v₀ + at₂
t₂ = -v₀ / a
Substituting the values:
t₂ = -71.12 m/s / (-(11.7 mi/h)/s)
≈ 6.08 s
Now, let's calculate the displacement during the constant speed phase before applying the brakes. The formula to calculate displacement is:
displacement = v₀ × t₁
Substituting the values:
displacement = 71.12 m/s × 1.5 s
≈ 106.68 m
Next, let's calculate the displacement during the deceleration phase after applying the brakes. The formula to calculate displacement during constant acceleration is:
displacement = v₀ × t₂ + (1/2) × a × t₂²
Substituting the values:
displacement = 71.12 m/s × 6.08 s + (1/2) × (-(11.7 mi/h)/s) × (6.08 s)²
≈ -226.69 m
To find the total displacement, we sum up the displacements during the constant speed phase and the deceleration phase:
total displacement = displacement_constant_speed + displacement_deceleration
total displacement = 106.68 m + (-226.69 m)
≈ -120.01 m
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The function f(x) = 20x + 80 represents the distance in miles a drone flew. The function g(x) = x + 2 represents the time the drone flew in hours. Part A: Find f(2) and g(2). Show your work. (2 points) Part B: Find f divided by g of 2. Show your work. (2 points) Part C: What is the domain of f divided by g of x? (2 points)
the Domain of f divided by g of x (-∞, -2) to (-2 , ∞)
What is a function?A function is described as a relation among a fixed of inputs having one output every. In easy words, a feature is dating among inputs in which every entry is associated with precisely one output.
Given, The function f(x) = 20x + 80 represents the distance in miles a drone flew.
The function g(x) = x + 2 represents the time the drone flew in hours
Part A:
f(x) = 20x + 80
F(2) = 20*2 + 80
F(2) = 120
g(x) = x + 2
g(2) = 2 + 2
g(2) = 4
Part B: f(x) divided by g(2)
=> f(x) / g(2)
=> (20x + 80 ) /4
=> 5x + 20 (since, g(2) is 4)
Part C: the domain of f divided by g of x
So,
f(x) / g(x ) = (20x + 80)/(x +2)
=> (20x + 80)/(x +2)
Since Denominator can not be zero.
Therefore, the Domain of f divided by g of x (-∞, -2) to (-2 , ∞).
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What is another way to write
MP
Answer:
I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.
Find the surface area of the prism.
2 yd
5 yd
4 yd
The surface area is
square yards.
The surface area is 76 square yards
How to determine the surface area of the prism?You should recall that In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms,
The surface area is given as 2(lb + bh + lh)
2(5*4)+2(5*2)+2(4*2)
40+20+16
76 square yards
Therefore, the surface area of the prism is 76 square yards
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C = -y - a/b
Solve the variable a
Can you please show each step
One day, eleven babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most nine of the eleven babies are girls?
The probability of having, at most, 9 girls, is 0.9515
How to get the probability?The probability that a random baby is a girl is:
p = 0.5
And the probability that a random baby is a boy is:
q = 0.5
Then the probability that, at most, 9 out of 11 babys are girls, is given by:
1 - p(10) - p(11)
Where P(10) is the probability that 10 of the babies are girls and p(11) is the probability that the 11 babies are girls.
p(10) = C(11, 10)*(0.5)^10*(0.5)^1 = C(11, 9)*(0.5)^11
Where C(11, 10) is the combinations of 10 elements that we can make with a set of 11 elements, such that:
C(11, 10)= 11!/(11 - 10)!*10! = 11
Replacing that, we get:
P = 11*(0.5)^11 = 0.0054
p(11) = C(11, 11)*0.5^11 = 1*0.5^11 = 0.0005
Then the probability is:
P = 1 - 0.0054 - 0.0005 = 0.9515
The probability of having, at most, 9 girls, is 0.9515
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3/5 ; 0.35 ; 4% ; 3/11 least to greatest
0.04, 3/11, 0.35, 3/5 would be the solution
HELP I NEED HELP ASAP
Answer:
It should be D
Step-by-step explanation: