In linear equation ,The length of waterslide is 12 yards.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given that,
The length of an object object in feet is equal to 3 times it’s length in yards
The length of wall water side slide is 36 feet
Let "y" be the length of object in yards
From given,
Length in feet = 3 times length in yards
36 = 3 * y
3y = 36
y = 36/3
y = 12
Thus length of waterslide is 12 yards.
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One side of a right triangle has a length of 12 feet. Which of the following could be lengths for the two other sides of the right triangle?
I. 5 feet and 13 feet
II. 9 feet and V63 feet
III. V2 feet and V10 feet
A. III, and III
B. I and II only
C. I only
D.II and Ill only
Answer:
B
Step-by-step explanation:
Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:
I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE
II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE
III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE
Answer B is correct
A. 109.45
B. 115.14
C. 117.85
D. 154.13
Answer: C
Step-by-step explanation: i dont know srry
whats an=19-7(n-) in function form
The given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
Given expression,
an=19-7(n-1)
The above-given expression is an explicit formula for the arithmetic progression,
Comparing the given expression with general expression an = a + d[n-1]
From the above comparison, we
first term,a = 19 and
the common difference, d = -7
Thus, the given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
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Is there a triangle whose sides have length 10.2 cm 5.8 cm and 4.5 cm justify the answer?
Yes, a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm is possible.
As we know if these sides form a triangle, then
the sum of two sides > the third side
Now, the sum of 10.2 cm and 5.8 cm = 16 cm > 4.5 cm
The sum of 5.8 cm and 4.5 cm = 10.3 cm > 10.2 cm
The sum of 10.2 cm and 4.5 cm = 14.7 cm > 5.8 cm
Here the sum of the two sides is greater than the third side in all three cases.
Therefore a triangle whose sides are 10.2 cm, 5.8 cm and 4.5 cm is possible.
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Which expression is equivalent to -3x + 5x - 2y + 5x? *
A .13x -2y
B. 7x -2y
C. 7x + 2y
A catering company is setting up tables for a big event that will host 764 people when they set up the tables they need 2 forks for each child and 5 forks for each adult the company ordered a total of 2992 forks set up a system of equations involving the number of adults,a and the number of children,c and solve to find out how many of each attended the event
Answer:
488 adults and 276 children
Step-by-step explanation:
So, we need two linear equations here to start, and we do have them.
Our first linear equation tells us how we get the number of forks:
2c + 5a = 2992
And the second tells us the number of people there:
c + a = 764
I will solve this using substitution. We start by minusing a from both sides in the second equation, giving us:
c = 764 - a
Then, we will substitute this into our first equation, giving us:
2(764 - a) + 5a = 2992
Then, we will open the parentheses, giving us:
1528 - 2a + 5a = 2992
Combining like terms and subtracting 1528 from both sides gives us:
3a = 1464
Dividing by 3:
a = 488
So there were 488 adults. Then, we take our original second equation and substitute 488 for a, giving us:
488 + c = 764
Minus 488 from both sides gives us:
c = 276
So, there were 276 children. In total, we had 488 adults and 276 children.
Hope this helped!
Theoretically, if a fruit is chosen 300 times, how many times would you expect to pick an apple or banana?
The answer is 90 times to expect picking an apple or banana.
If the fruit is chosen 300 times, then it would be a 1:3 ratio of apple or banana to the other fruits. This means that 100 times out of the 300 times, you would expect to pick an apple or banana.
Predicting the outcome using the experiment results because 300 times is a sizable number.
8+4 is either an apple or a banana in 40 times.
Therefore, the solution would be x in 300 times.
[tex]x = \frac{300}{40}[/tex] x12
x = 90
Therefore, the probability of picking an apple or banana is 90 times.
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What is the value of x?
O 6
6V3
12
O 12
o
12V3
60°
Answer:
The answer is 12V3 60°
Hope I help you
Pls help me with this, no jokes or links please
Answer: D
Step-by-step explanation:
v=4/3*3.14*13^2
Use the FOIL Method to find (k+5)(k−1).
Answer:
(k+5)(k−1)=k2+4k−5
Step-by-step explanation
What is the sum of 5.3 X 10 and 3.8 x 104 in scientific notation?
a) 9.1 x 10^9
b) 9.1 x 10^5
c) 5.68 x 10^5
d) 4.33 x 10^4
How can the surface area be calculated for the rectangular prism below?
= 5cm
w=4 cm
1 = 12 cm
A. Multiply 2 by the length, width and the height
B. Add the length, width and the height
C. Calculate the product of the length and width, height and width and height and length then
multiply by 2.
D. Multiply the length, width and the height then divide the answer by 2.
Answer:
c Calculate the product of the length and width, height and width and height and length then
multiply by 2.
Step-by-step explanation:
it will look like this 2lw+2hw+2hl
what is the value of x
Answer:
the answer is 52 because all angels are equal
Step-by-step explanation:
Math joke: Tell Algebra to stop finding his X She dont want him anymore!!!!
lol hope this helps!
Answer:
128 is your answer
Step-by-step explanation:
Triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle
180-52=128
52+128=180
Job 1 the base pay is 30 and the job pay 150 total for an 8 hour day job 2 y=17x+25 which one pays more
Answer:
Job 2
Step-by-step explanation:
Find how much job 1 pays for 1 hour:
(150 - 30) ÷ 8 = 15
Job 1 pays $15 per hour.
Assuming variable x stands for number of hours worked, job 2 pays $17 an hour.
Put job 1 into a similarly formatted equation:
Variable y = total pay
y = 15x + 30
Compare job 1 and 2:
Job 1: 15x + 30
Job 2: 17x + 25
Just by looking at the two expressions, there is no obvious higher paying job so let's try plugging in 8 hours for x:
15(8) + 30 = 150
17(8) + 25 = 161
$161 is more than $150 so job 2 pays more.
What is the value of x? (2-5) 105
Answer:
x=-315
Step-by-step explanation:
I'm assuming the equation was x=(2-5)105.
If its not, please let me know. I will change my answer.
Answer:
x= -315
Step-by-step explanation:
What is the equation of a circle with center (5, -7) and Circumference = 12
(No links)
Answer:
(x-5)2+(y+7)2=4
Step-by-step explanation:
help!!!
Let f(x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x−5/3)
f(x)−5/3
The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.
What are some rules for the transformation of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.
And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.
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i need full marks for this question pls?
Answer:
one interior angle of octagon is 135 degree because the sum of interior angles of octagon is 1080 degree and when we divide it with the no of sides of octagon i.e. 8 the value of one internal angle should come 135 degree
Step-by-step explanation:
Hope this helps u!!
Jeff is three years younger than twice Michael's age, m. Which equation can be used to find Jeff's age?
Answer:
j = 2m-3
Step-by-step explanation:
Breakdown:
2m = Twice Michael's age
-3 = Three years younger
help plss sjsjsjd SUUWU
Answer:
A = 18π units²
Step-by-step explanation:
The area (A) of the semicircle is calculated as
A = [tex]\frac{1}{2}[/tex] πr² ( r is the radius ) , then
A = [tex]\frac{1}{2}[/tex]π × 6² = [tex]\frac{1}{2}[/tex]π × 36 = 18π ← exact answer
What is the probability that all the members of your mathematics class have different birthdays? What is the probability that there is a birthday coincidence in the group?
Supposing a band of 20 members, we have that the probabilities are given as follows:
All have different birthdays: 0.9466 = 94.66%.There is a birthday coincidence: 0.0534 = 5.34%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 20, as the band has 20 members.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.The probability that all members have different birthdays is of P(X = 0), hence:
P(X = 0) = (1 - 1/365)^20 = 0.9466.
Hence the probability that there is a birthday coincidence is of:
P(X > 0) = 1 - P(X = 0) = 1 - 0.9466 = 0.0534.
Missing InformationThis problem is incomplete, hence we suppose a band of 20 members.
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Can someone help me out my grades are bad
Answer:
= 2700
Step-by-step explanation:
1300+700+700
An object is launched at an upward velocity of 9696 feet per second from the top of a building 160160 feet above the ground. Use the vertical motion model h=-16t^{2}+vt+c, where hh is the ending height of the object, cc is the initial height, in feet, of the object, tt is the time in seconds, and vv is the velocity of the object.
How long will it take the object to reach the maximum height and what is the maximum height? Fill in the blanks with the appropriate values.
The time that it will take for the object to reach maximum height is given as follows:
3 seconds.
The maximum height is given as follows:
304 feet.
How to model the object's height?The object's height is modeled by a quadratic function in the following format:
h = -16t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 96, h(0) = 160.
Hence the function is defined as follows:
h(t) = -16t² + 96t + 160.
Meaning that the coefficients of the quadratic function are given as follows:
a = -16, b = 96, c = 160.
The coefficient a is negative, meaning that this is a concave down quadratic function, thus the vertex of the quadratic function represents the maximum height.
The t-coordinate of the vertex is given as follows:
t = -b/2a = -96/-32 = 3 seconds.
Then the maximum height is of:
h(3) = -16(3)² + 96(3) + 160
h(3) = 304 feet.
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( NO LINKS ) Mary $45 for 15 pounds of potatoes. What was the unit rate for the potatoes? *
A. $5/1 pound
B. $3/1 pound
C. 3 pounds/$5
Step-by-step explanation: it will be c because 45 divided by 15 = 3
In the circle below, suppose m WXU= 102° and mLXWV=68°. Find the following.
In the circle below the suppose m WXU=102° and mL XWV=68° then the following is m ZXUV = 88°.
What is cyclic quadrilateral and explain the above answer?Four-sided shapes with all four corners on the same circle are known as cyclic quadrilaterals. A cyclic quadrilateral's internal angles are always added up to 360 degrees.
(a) m / WXU = 102° (Given)
(b) To find m ZXUV, we can use the property that the angles in a cyclic quadrilateral add up to 360°. Since WXU, XWV, and XLV are all inscribed angles that intercept the same arc, they are congruent. Therefore, m WXU = m XWV = m XLV = 102°. Adding these angles together, we have:
102° + 102° + 68° + m ZXUV = 360°
Solving for m ZXUV, we get:
m ZXUV = 360° - (102° + 102° + 68°)
m ZXUV = 88°
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What is the degree of 2 polynomial?
A polynomial with a degree of two is referred to as a quadratic polynomial.
What is a quadratic polynomial?When the highest power of a variable term in a polynomial expression equals 2, the term is considered a quadratic polynomial. The exponent of a polynomial is all that is considered when determining its degree. It does not account for the power of a coefficient or constant term.
When a quadratic polynomial is equated to 0, it generates a quadratic equation or a quadratic function. The solutions to a quadratic equation are known as its roots or zeros.
A quadratic polynomial is a second-degree polynomial with the highest degree term having the value 2 as its coefficient. A quadratic equation is written in its general form as ax² + bx + c = 0.
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You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score x without the penalty.
The equation is x + 0.3 = 9.124 and the value of x is 8.824.
The following is a linear equation in one variable. It can be expressed in the form of ax+b=0. Here a and b are integers and x is a variable that has only one solution. In these type of equations only one variable is present.
We can write an equation to find the score without the penalty by using the information provided. Let x be the score without the penalty. We know that the final score (with the penalty) is 9.124 and that the penalty is 0.3 points. Therefore, we can set up the equation:
x + 0.3 = 9.124
To find the score without the penalty, we need to subtract 0.3 from both sides of the equation:
x = 9.124 - 0.3
x = 8.824
So, the score without the penalty is 8.824
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Help answer part a and b please no links!!!
Answer:
a) 64.37m^2 b) 15.71 meters
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
Rectangle: quadrilateral, parallelogram, all angles are 90 degrees
a) The area of the park not covered by the wading pool is equivalent to the area of the wading pool subtracted from the total area:
because the radius of the pool is 2.5
Area of wading pool = [tex]\pi 2.5^2=6.25\pi m^2[/tex]
The total area of the park is length x width because it is a rectangle
Area of park = [tex]14*6=84m^2[/tex]
Area of the park not covered by the wading pool = [tex]84-6.25\pi[/tex] ≈ 64.37m^2
b) The meters of fence needed to surround the circular pool is the circumference of the circle
Circumference: [tex]2.5*2\pi=5\pi[/tex] ≈ [tex]15.71[/tex]
Elena tenia 7500 para ir al acuario y su mama le dio 1500 adicianales. elena pago 6500 por la admision, 4750 por el almuerzo y 3950 por recuerdos.¿Cuanto le quedo a elena?
Respuesta:
6200
Explicación paso a paso:
Dado que :
Cantidad total que tiene Elena:
Su dinero + cantidad dada por su madre = (7500 + 1500) = 9000
Gastos de Elena:
Admisión = 6500
Almuerzo = 4750
Recuerdos = 3950
Gastos totales = (6500 + 4750 + 3950) = 15200
Cantidad restante:
Gastos totales - Cantidad que Elena tiene
(15200 - 9000) = 6200
What is the value of x between the two triangles? *no bots or else you will be reported*
Answer:
x = 25
Step-by-step explanation:
First we need to show that these two triangles are similar. Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees. This results in 74 degrees, which matches 74 degrees in the second triangle.
Next we write and solve an equation of ratios:
6 10
----- = -------
15 x
Cross multiplying returns 6x = 150, so that x = 25.
Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.