Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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Please help
Me
I need to finish this I will give brainlest
Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
what is parallel lines?In geometry, parallel lines are coplanar unlimited lines that never cross. In a particular three-dimensional space, the parallel planes represent the ones that never cross. Parallel curves are those with a constant minimum separation between them and no places of contact or intersection. In geometry, parallel lines are two lines which run in the exact same plane, evenly spaced apart, and hadn't cross. Both vertical and horizontal can be used. In commonplace items like train tracks, stacks of notebooks, and crossings for pedestrians, straight lines can be seen.
The form of Jackson's poster is best described as a rhombus. A quadrilateral with a rhombus has opposing sides that are parallel and all of its sides are equal. Additionally, it has congruent opposing angles. In addition to having parallel opposing sides, a parallelogram also has non-congruent sides and angles. Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
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The quadratic function f(x) is shown in the table below for the integer values for the domain (1,8). Find the missing range values. Table is in attached photo
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
domain table
Step 02:
functions:
range values:
quadratic function f(x):
By analyzing the graph we can confirm that it is a quadratic function.
Therefore, the missing values must be corresponding to obtain the parabola.
x 1 2 3 4 5 6 7 8
f(x) 15 10 7 6 7 10 15 22
The answer is:
(2 , 10)
(7, 15)
PLEASE HELP ME!!!!! The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.
(a) Write a direct variation equation to represent the cost.
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation.
(c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.
Answer:
Step-by-step explanation:
In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiting at gas stations. Part A: If there were 41 cars in a line that stretched 388 feet, what is the average car length? Assume that the cars are lined up bumper-to-bumper. Round your answer to the nearest tenth of a foot.
Answer:
Part A: The average car length is 9.1 feet to the nearest tenth foot
Part B: The line would be 9100 feet to contained 1000 cars
Step-by-step explanation:
* Lets explain how to solve the problem
# Part A:
- There were 62 cars in a line that stretched 567 feet
- The cars are lined up bumper-to-bumper
- That means there is no empty spaces between the cars
* To find the average length of the car we will divide the length of
the line by the numbers of the cars
∵ The average car length = length of the line/number of cars
∵ The length of the line is 567 feet
∵ The numbers of the cars is 62 cars
∴ The average car length = 567/62 = 9.1 feet
* The average car length is 9.1 feet to the nearest tenth foot
# Part B:
- There are 1000 cars
- We need to find the length of line which contained the cars
∵ The average car length = length of the line/number of cars
∵ The average of car length is 9.1 feet
∵ The number of the cars is 1000 cars
∴ 9.1 = length of the line/1000
- Multiply both sides by 1000
∴ The length of the line = 9.1 × 1000 = 9100 feet
∴ The line would be 9100 feet to contained 1000 cars
6th grade math I mark as brainliest
Answer:
D
DDDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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If 10 is decreased to 5, the decrease is what percent of the original number?
Answer:
50
Step-by-step explanation: love uuuuuu
What is the solution to the inequality 5.25- b
6.5?
-b > 6.5 - 5.25
b < 1.25
Hope this helps!
/////////////////////////////////////////////////////////////////////////////////////////////////////////////
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
Two particles travel along the space curves r_1(t) = (t, t^2, t^3) r_2(t) = (1 + 4t, 1 + 16t, 1 + 52t). .Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = ()(smaller x-value) (x. y, z) = ()(larger x-value).
The paths intersect twice, at the point (1 ,1 ,1 ) when s=0 and t = 1
and at ( 3 , 9 , 27) when s = 1/2 and t = 3
The particles collide provided r₁(t) = r₂(t) <=>
< t , t² , t³ > = < 1+4t , 1+16t , 1+52t >
Comparing the both sides
=> t = 1+4t , t² = 1+16t and t³ = 1+52t
Solving first equation,
=> t = 1+4t
=> t = -1/3
Putting this value in other two,
=> (-1/3)² = 1+16(-1/3)
This doesn't satisfy these two
Therefore, the particles doesn't collide.
For the paths to intersect, We need to find a value for t and a value for s where r₁(t) = r₂(s) <=>
< t , t² , t³ > = < 1+4s , 1+16s , 1+52s >
Equating these with each other
=> t = 1+4s , t² = 1+16s and t³ = 1+52s
Solving these we will get s = 1/2 and t = 3
All these point satisfy all three equation
Thus , The paths intersect twice, at the point (1 ,1 ,1 ) when s=0 and t = 1
and at ( 3 , 9 , 27) when s = 1/2 and t = 3
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Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?
Answer:
Given that there are 21 flags, NOW using backward induction we can see that;
If there is only one flag left, whosoever picks up that particular flag will lose. Therefore, 1 is loosing number.
Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.
Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.
Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.
Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.
we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,
Loosing Numbers = 1,5,9,13,17 and 21
Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20
a) STRATEGY
If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy
But if you have any of winning numbers at any point then you can follow the following strategy and can win
- 2 flags = pick up one flag and leave 1 for the opponent, win
- 3 flags = pick up 2 flags and leave 1 for the opponent, win
- 4 flags = pick up 3 flags and leave 1 for the opponent, win
- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 11 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 12 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 14 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 15 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 16 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 18 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
b)
Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3
c)
If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number
similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number
and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number
PLEASE HELP I NEED HELP NO SCAM LINKS
Answer:
D
Step-by-step explanation:
Answer:
A - the X intercept will be negative
If you need further guidance, I'm here to help!
~ PumpkinSpice1
Rewrite using a single positive exponent
(5^3)^-6
The expression ( 5³ )⁻⁶ rewritten using only positive exponent is 1/5¹⁸.
How to write an expression using only positive exponent?Given the expression in the question;
( 5³ )⁻⁶
To rewrite the expression ( 5³ )⁻⁶ using only a single positive exponent, we need to use the rule of exponentiation that says when we raise a power to another power, we multiply the exponents.
So we have:
( 5³ )⁻⁶
5 ³ ˣ ⁻⁶
Multiplying 3 and -6 gives -18, so we have:
5⁻¹⁸
Now, using negative exponent rule.
b⁻ⁿ = 1/bⁿ
5⁻¹⁸ = 1/5¹⁸
Therefore, the simplified form is 1/5¹⁸.
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IF each term in the sum a1+a2+a3..._an . . . an is either 7 or 77 and the sum equals 350, which of the following could be equal to n ?
A. 38
B. 39
C. 40
D. 41
E. 42
If each term in the sum a1+a2+a3...+an is 7 and the sum equals 350, C: 40 would be equal to n.
In equation form, it is:
7s + 77t = 350
In this equation,
s represents the number of 7's
t represents the number of 77's
thus, the number of terms i.e n = s + t =?
now solving the equation,
7 (s + 11t) = 350
7 (s + 11t) = 350
s + 11t = 50
s + 11t = 50
now, if
s=39 & t =1
then
s + 11t = 50 -> 39 + 11 (1) = 50
Since the number of terms n = s + t
n = s + t
n = 39 + 1
n = 40
Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.
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Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
What should be the third row in the following series of shapes
Answer:
The answer is number 2
can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!
Answer:
{-2}
Step-by-step explanation:
Answer:
B)-2
Step-by-step explanation:
In functions, X is your input. Y is the output unless specifically stated otherwise :P
Brainliest? <3
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
Write the congruence statements represented by the markers in each diagram
The congruence statements
PS= QR<PSQ= <QRP
<UTV= <VWX<TUV= <XWV
What is Congruence?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.
Given:
From the Figure
PS= QR
<PSQ= <QRP
and, from another figure
<UTV= <VWX
<TUV= <XWV
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When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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the price of a gallon of gas dropped from 3.50 to 2.87 by what percentage was the price gas reduced
Answer:
18%Step-by-step explanation:
To do this, we first divide 2.87 by 3.50. This gets us 0.82. So we now know that 2.87 is 82% of 3.50. But we're trying to find the reduced amount. So we now Do 100%-82% (82% being 2.87) to get 18%. So the answer is 18%. To make sure we are right, we do 18% of 3.50 to get 0.63 cents. We then take 3.50 and subtract 0.63 to get 2.87. So it reduced by 18%
Assume you have a safe code that is 8 digits long. The numbers 0-9 may be used for any digit. How many possible codes are there? Show your work and leave your answer in either exponential or factorial form.
Answer:
10^8 choices
Step-by-step explanation:
You have 10 numbers to choose from for each digit of the code.
There are 8 digits of the code.
You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.
Number of possible codes are \(10^{8}\)
What is Permutation?In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements
Given,
Number of digits in passcode = 8
The numbers 0-9 may be used for any digit. Therefore total of 10 numbers
Here repetition is allowed.
Therefore, each of the 8 vacant place can be filled in the succession of 10 different ways
Number of possible codes are = 10×10×10×10×10×10×10×10 = \(10^{8}\)
Hence, the number of possible codes are \(10^{8}\)
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Please help I don’t understand
Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,
\(\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48\)
Hence,
The equivalent ratios are:
16:10
8:5
48:30
Help please!!!!
Find the measure of the angle indicated
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
Compute the exact value of the height h of the square-based straight pyramid, given that the base is a square with sides 34 feet long, and all other edges are 50 feet long.
Answer:
31√2 feet
Step-by-step explanation:
The height can be found using the Pythagorean theorem. The height of the pyramid will be the height of the right triangle whose sides are half the diagonal of the square base, the distance from the base to the peak, and the edge from the peak back to the corner of the base.
SetupLet h represent the height of the pyramid. The diagonal of the square base will be √2 times the side of the base. So, half the diagonal will be 17√2 ft. The Pythagorean theorem tells us ...
h² +(17√2)² = 50²
SolutionSubtracting the constant on the left gives ...
h² = 2500 -578 = 1992
h = √1992 = 31√2
The height of the square pyramid is exactly 31√2 feet.
__
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