Final answer:
To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.
Explanation:
To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:
Total silk Alex had = 3x + 1
Total silk purchased = (x^2 + 5x + 4) × (2x + 1)
Silk used for kite = 2x^3 + 8x^2 + 10x + 4
Now, substitute the given values of x:
Total silk Alex had = 3(1500) + 1 = 4501 yards
Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards
Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards
Finally, subtract the silk used for the kite from the total silk Alex had:
Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards
Since the result is negative, it means that Alex doesn't have any silk remaining.
Can someone please help me with math
¿A Sandra qué le gusta hacer los viernes?
A A Sandra le gusta comer papas fritas los viernes.
B A Sandra le gusta comer agua los viernes.
C A Sandra le gusta beber pizza los viernes.
D A Sandra le gusta beber galletas los viernes.
Measurement is ___________ when it yields the same values across repeated measurement of the same event.
The answer is reliable. A measure is assumed to have a high reliability if it yields parallel results under steady conditions. It is the characteristic of a set of test scores that relates to the quantity of accidental or random error from the measurement procedure that might be rooted in the scores. Marks that are highly reliable are precise, reproducible, and constant from one testing time to another. To be exact, if the testing method were to be repeated with a different group of test takers, fundamentally the same results would be gotten.
A rabbit lure on a greyhound racetrack is set to travel once around the track at 50 feet per second, and then its speed is increased to 65 feet per second for the second loop around the track. If the total time it takes for the lure to go around the track twice is 184 seconds, what is the distance once around the track?
Which equation best represents the line graphed above?
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?
$0.17
$0.83
$1.25
$0.50
Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
A) 14.2 feet
B) 17.1 feet
C) 47.6 feet
D) 55.2 feet
Answer:
its 14.2
Step-by-step explanation:
The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?
What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?
First, let us solve for the slope of the line which it intersects with:
m’ = (y2 – y1) / (x2 – x1)
m’ = (-3 – 4) / (-2 – 5)
m’ = 1
The slope of the perpendicular line is the negative reciprocal, therefore:
m = - 1 / m’
m = - 1 / 1
m = -1
So the slope of the line is -1.
Does believing in god increases the probability that god does exist
KInda if you love him then he loves personally i dont believe in him but thats everyone decision
What is the solution to the system of equations below? 2x - 5y = 11 and -2x + 3y = -9
What is the expanded equivalent of cos(a – b)?
The expanded equivalent of cos(a – b) is cos(a)cos(b)+sin(a)sin(b).
Given that,
The equation is cos(a - b).We need to find the expanded equivalent of the above equation.Based on the above information, the calculation is as follows:
= cos (a - b)
= cos(a)cos(b)+sin(a)sin(b)
Therefore we can conclude that the expanded equivalent of cos(a – b) is cos(a)cos(b)+sin(a)sin(b).
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If you know that two triangles are congruent, you know that any unmarked corresponding parts are also congruent by
what is the value for x (5x+15) (3x-3)
The value of x in the expression (5x+15) (3x-3) is 15x^2 + 30x - 45.
Explanation:The expression (5x+15) (3x-3) represents the multiplication of two binomials. To find the value of x, we can use the distributive property to simplify the expression:
Multiply the terms within the first set of parentheses: 5x * 3x = 15x^2.Multiply the terms within the second set of parentheses: 5x * -3 = -15x.Multiply the terms between the parentheses: 15 * 3x = 45x.Multiply the constant terms within the parentheses: 15 * -3 = -45.Putting it all together, we have 15x^2 - 15x + 45x - 45. Combining like terms, the expression simplifies to 15x^2 + 30x - 45.
So, the value for x in the given expression is 15x^2 + 30x - 45.
2x7+2 ?
What does x =
To which graph does the point (8, −2) belong?
Solve for x.
7(x - 3) = 4(x + 5)
7(x-3) = 4(x+5)
distribute:
7x-21 = 4x+20
add 21 to both sides
7x = 4x +41
subtract 4x from both sides
3x = 41
divide both sides by 3
x = 41 /3 = 13.67 ( repeating 6's) so it can be 13 2/3 as a fraction
the answer is 13 2/3
Carly is 3 times her brother's age. The sun of their age is no more than 24 years.
brothers age = x
carly's age = 3x
3x +x <=24
4x<=24
x<=24/4 = 6
brothers age is x<=6
Find x if et = 3x+2 and em = 5x
Answer:
x = 6
Step-by-step explanation:
The centroid (T) always splits the lines so one side is 2/3 and the second is 1/3 of the entire median line. This can also be written as 2x + x. That being said, ET isn't equal to EM, it's only equal to 2/3 of EM so that's what you have to write.
3x + 2 = 2/3 * 5x
3x + 2 = 10/3 x
*3 (3x+2) = *3(10/3x)
9x+6 = 10x
-9x -9x
x = 6
The value of x is 6.
TrianglesThe polygon has three sides. the sum of all the internal angles is 180 degrees.
Given
ET = 3x+2
EM = 5x
To findThe value of x.
How to find the value of x?We know that the centroid of triangles divides it into 2:3.
Then
[tex]\begin{aligned} \dfrac{ET}{EM} &= \dfrac{2}{3} \\\\ \dfrac{3x+2}{5x} &= \dfrac{2}{3} \\\\ 3x+2 &= \dfrac{2}{3} * 5x \\\\ 3x+2 &= \dfrac{10x}{3} \\\\ 3x - \dfrac{10x}{3} &=-2\\\\ \dfrac{-x}{3} &= -2 \\\\ x &= 6\end{aligned}[/tex]
Hence the value of x is 6.
Thus the value of x is 6.
More about the triangle link is given below.
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What is the numerator of the fraction equivalent to 25/135 that has a denominator of27
Solve x + 9 = 18 - 2x
The solution to the equation x + 9 = 18 - 2x is x = 3.
What is the solution to the equation?Given the equation in the question:
x + 9 = 18 - 2x
To solve the equation x + 9 = 18 - 2x, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:
x + 9 = 18 - 2x
Add 2x to both sides of the equation:
x + 2x + 9 = 18 - 2x + 2x
x + 2x + 9 = 18
3x + 9 = 18
Subtract 9 from both sides of the equation:
3x + 9 - 9 = 18 - 9
3x = 18 - 9
3x = 9
Isolate x by dividing both sides by 3:
x = 9/3
x = 3
Therefore, the value of x is 3.
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Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased.
$29.35y + $17.45x
$29.35x + $17.45y
($29.35 + $17.45)(x + y)
($29.35 - $17.45)(x + y)
Triangle A′B′C′ is the image of triangle ABC after a dilation. What is the scale factor of the dilation?
Let n be a nonzero integer. find a domain on which f (x) = (1 − xn)1/n coincides with its inverse. hint: the answer depends on whether n is even or odd.
I believe that the correct equation given is:
f(x) = (1-x^n)^(1/n)
From this, we can say that:
When n is an
odd number then f(x) is cubic root function. The domain is (-infinite,
+finite)
When n is an even number then f(x) is sqrt root
function. The domain is (0, +finite)
What is the smallest number greater than 100 that is :
a)divisible by two ?
b)divisible by ten?
c)divisible by four ?
The smallest number greater than 100 divisible by 2 is 102, divisible by ten is 110, divisible by four is 104.
What is Divisibility Test?It is an easy method of determining the divisibility of a number by a particular divisor, by just observing the number and not actually dividing it.
The number is 100
A smallest number greater than 100 has to be found which is divisible by 2.
All even numbers are divisible by 2, a number which has 0, 2, 4, 6, 8 at its ones position are divisible by 2.
The smallest number from 100 which is divisible by 2 is 102.
A smallest number greater than 100 has to be found which is divisible by 10.
A number is divisible by 10, if it has 0 at its ones position.
The number after 100 which has 0 at its ones position is 110.
A smallest number greater than 100 has to be found which is divisible by 4.
If last two digit of a number forms 00 or are divisible by 4, then the number is divisible by 4.
The smallest number from 100 which is divisible by 4 is 104.
To know more about Divisibility Rule
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in a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many females said they watched each type of movie most often.
how many more males said they watched action movies than drama movies
2
4
5
8
Answer:
Option D) 8
Step-by-step explanation:
We are given the following information in the question:
A bar graph is given that shows how many males and how many females said they watched each type of movie most often.
To find:
We have to find that how many males said that they watched action movies than drama movies .
In the bar graph:
Number of action movies watched by males = 13
Number of drama movies watched by males = 5
Number of males males said that they watched action movies than drama movies = 13 - 5 = 8
Males watched 8 action movies more than the drama movies.
Hence, the correct option is D.
identify the like terms 3x,4y,4z,5x
A sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box?
Final answer:
A total of 456 sugar cubes touching the box.
Explanation:
To calculate the number of sugar cubes touching the box, we must consider the cubes that lie along each face of the box without double-counting the cubes that touch corners and edges.
The box dimensions are 8 x 6 x 18 inches, and each sugar cube is 1 x 1 x 1 inch.
For the top and bottom faces (6 x 18), we have
6*18 = 108 sugar cubes touching the box on each face, totaling 216 for both the top and bottom.
For the front and back faces (8 x 18), since we must exclude the top and bottom rows, we have
(8-2) x (18-2) = 6 x 16 = 96 sugar cubes for one face and 192 for both.
For the sides (8 x 6), excluding the top and bottom rows again, we have
(8-2) x (6-2) = 6 x 4 = 24 sugar cubes on one side and 48 in total for the two sides.
Adding all these together, we get 216 (top and bottom) + 192 (front and back) + 48 (sides) = 456 sugar cubes touching the box.
Remember, this method assumes a single layer of sugar cubes is in direct contact with the inside surface of the box.
I brought 1 1/4 lbs of grapes. 2 1/2 lbs of cherries and 2lbs of bananas. How much total pounds of fruit did i buy?
what is the answer for 5kx+6=7kx solve for x