A cable 52.6 meters long is cut into two pieces so that one piece is 27.2 meters longer than the other. Find the length of each piece of cable.
Type the product of the lengths of the two pieces, rounded to the nearest tenth.
Answer:
Piece1: 12.7 meters
Piece2: 39.9 meters
Product of the two to nearest tenth: 506.7
Step-by-step explanation:
Piece1: x
Piece2: x + 27.2
x + x + 27.2 = 52.6
2x + 27.2 = 52.6
2x = 25.4
x = 12.7
Piece1: 12.7
Piece2: 12.7 + 27.2 = 39.9
Product of the two pieces:
12.7 * 39.9 = 506.73
Round answer to 1 decimal place.
68.8888888...
Answer:
68.9
Step-by-step explanation:
When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.
. In a soccer league, each of the n participating teams plays every other team twice during the season. If in the next season the league increases the number of teams by two, then there would be 27.5% more matches played. Find
The number of teams and matches in the soccer league illustrates permutation and combination
There are 12 teams in the soccer league in the first season
How to determine the number of teamsThe number of teams in the soccer league is given as n.
So, the total number of matches played in a season is:
Matches = n(n-1)/2
When the number of teams increases by 2, we have:
Matches = (n + 2)(n + 2 -1)/2
Also, the number of matches increases by 27.5%.
So, we have:
Matches = n(n-1)/2 * (1 + 27.5%)
Equate both equations
[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]
Simplify
[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]
Multiply through by 2
[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]
Expand
[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]
Collect like terms
[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]
Evaluate the like terms
[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]
Using a graphing calculator, we have:
n = -1 or n = 11.909
n cannot be negative.
So, we have:
n = 11.909
Approximate
n = 12
Hence, there are 12 teams in the soccer league in the first season
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What is 12(9+3) equaled to?
Answer: 144
Step-by-step explanation:
We know that we have to start with parenthesis first and complete that operation first. So 9+3=12. Now we are left with 12(12) which simply means 12 times 12 which is 144.
How do you find x????????!
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Work Shown:
Let's make each of those unlabeled angles be angle y.
We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.
The three interior angles of any triangle add to 180
44+y+y = 180
2y+44 = 180
2y = 180-44 ... subtracting 44 from both sides
2y = 136
y = 136/2 ... divide both sides by 2
y = 68
Once we know y, we can find x
x+y = 180 ... since the adjacent angles form a straight line
x+68 = 180
x = 180-68 ... subtract 68 from both sides
x = 112
I would really like help
Answer:
2[tex]\sqrt{3}[/tex] or ~3.464
Step-by-step explanation:
We see that the triangle ABC has an angle of 90° and 45°, so 90+45 is 135, and 180-135 is 45° which is a special triangle. The hypotenuse is k[tex]\sqrt{2}[/tex] and we know that k is 6 so the other side lengths are 6 since they are just k. Now the triangle CBD hares a side so it is 6 and the angles are 60° and 90° so the last angle is 30° which is another special triangle. Since the side length is 6 and it equals [tex]\frac{\sqrt{3} }{2}[/tex]k. We divide 6 by [tex]\frac{\sqrt{3} }{2}[/tex] and we get 4[tex]\sqrt{3}[/tex] which is the value of k or the hypotenuse. To find x, we multiply k by 1/2 or divide it by 2. Dividing 4[tex]\sqrt{3}[/tex] by 2 gives us 2[tex]\sqrt{3}[/tex] which is x. If the question wants the exact number, then it is 3.464, otherwise, just put 2[tex]\sqrt{3}[/tex]. Hope this helps! (I'm not a bot btw)
Define the following:
=> Accuracy
=> Add Decimals
Answer:
accuracy- the quality of state of being correct or precise
add decimals- write the numbers in a column, and make sure that the decimal points are aligned.
Answer/Step-by-step explanation:
Refer to picture below:
Increase £16470.45 by 13.5%
Answer: 18693.51075= £18,693.51
Step-by-step explanation:
16470.45/100=164.7045
164.7045x13.5=2223.51075
2223.51075=16470.45=18693.51075
18693.51075= £18,693.51
The increment of £16470.45 by 13.5% is £18693.96.
PercentageWhat is percentage?A part per hundred is what the percentage denotes. The symbol '%' is used to symbolise it. Example percentages include: 10% is represented as the fraction 1/10.
Calculate the percentage:The amount is given as £16470.45.
As, the amount is increased by 13.5%.
Thus 13.5% of £16470.45 will be calculated as,
= 16470.45 ×(13.5/100)
= 2223.51
Thus, the 13.5% of the amount will be £2223.51
Calculate the increment of the amount:As, the incremented amount is calculated as £2223.51.
The amount after the increment will be,
= 16470.45 + 2223.51
= 18693.96
Therefore, the total amount after the increment of 13.5% is £18693.96.
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what is an equation of the line that passes through the points (-4, -3) (7, 8)
Answer:
y = x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )
m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (7, 8 ) , then
8 = 7 + c ⇒ c = 8 - 7 = 1
y = x + 1 ← equation of line
Which sum or difference is modeled by the algebra tiles?
A.(x^2 - 2x + 3) - (-x^2 - 4x - 2) = 2x-1
B.(x^2 - 2x - 3) + (x^2 - 4x + 2) = 2x - 1
C. (x^2 - 2x - 3) - (x^2 + 4x + 2) = 2x-1
D. (x^2 - 2x-3) +(-x^2 + 4x + 2) = 2x - 1
Please help with the bonus. I beg
Answer: (8x8=64) (64÷8=8) (8+7=15)
Step-by-step explanation:
Brainliest Given for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
Answer:
[C] convenience sample
Step-by-step explanation:
[C] Convenience sample because where the sample is taken from a group of people easy to contact or to reach. Thus, a sample representative of the entire population is an Convenience
[RevyBreeze]
Answer:
convenience sample
Step-by-step explanation:
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
the measure of an angle is 44 more than the measure of its supplement. Find the measure of the angle.
I NEED HELP PLEASEEE
Answer:
the picture won't show up
Step-by-step explanation:
Can someone give me the answer the answer to this question?
Answer:
-2 is your awnser
Step-by-step explanation:
I hope this helps out.
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point) Selected:a. The solution is (1, 3)This answer is incorrect. b. The solution is x = 1 and y = 3 c. There is no solution d. There are infinitely many solutions
Answer:
There is no solution.
Step-by-step explanation:
1 ≠ 3
. Rectangle DEFG with vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)
Answer:
D(-5,5), E(-3,4), F(-6,0), G(-8,1)
Step-by-step explanation:
You need to subtract 11 from x, (which is the first number in the parenthesis) because the rule is (x-11, y+4) and add 4 to y.
I really hope this helps!
The value represents the is D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) . A rectangle is a quadrilateral with four right angles in the Euclidean plane.
What is meant by rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to describe it. A rectangle with four equally length sides is a square.
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
Given,
vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)
Because the rule is (x-11, y+4), you must subtract 11 from x, which is the first number in the parenthesis, and then add 4 to y.
D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)
Therefore D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) is the value represents the rectangle.
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Which property is used in the problem below?
2(x+4) = 2x + 8
the associative property
the commutative property
the distributive property
the additive identity property
Answer:
Distributive Property
Step-by-step explanation:
2(x+4) = 2x + 8
2x + 2(4) = 2x + 8
2x + 8 = 2x + 8
Henceforth, distributive property
Answer: The Distributive Property
Step-by-step explanation:
Veronique found the difference of a number and 8. Which expression models the situation? n minus 8 StartFraction 8 Over n EndFraction StartFraction n Over 8 EndFraction 8 minus n
Answer:
Veronique found the difference of a number and 8.
Which expression models the situation?
n-8
8/n
n/8
8 - n
Step-by-step explanation:
A:(n-8) is correct
Answer:
N-8
Step-by-step explanation:
I just finished the quiz
Please help!!!!!!!!!!! Picture below
1. 761/24
2. I don’t understand either u change it to an mix number or it’s already simplified.
Evaluate 20 x (32 – 4) : 50.
20 x (32 - 4) = 50 =
Answer:
[tex]20 \times ( {3}^{2} - 4) \div 50 \\ = 20 \times (9 - 4) \div 50 \\ = 20 \times 5 \div 50 \\ = 100 \div 50 \\ = 2[/tex]
correct answer will be 2How does the graph of g(x) = -(x - 2)4 compare to the parent function of f(x) = x^4?
Answer:
flipped across the x-axis and translated to the left 2 units
Step-by-step explanation:
I attached a pic to show u !! Blue is the parent function and red is the other equation so it's easy to see how they compare to one another.
how to read a function different from the parent
that negative in front of the (x-2)^4 gets distributed and the equatuin will then look like (-x+2)^4that negative in the front means to flip the proabla on the axis !! and the +/- will tell u how it will be translated by however many units keep in mind u go the opposite of this sign inside the parenthesis. so for example if it's - 2 ur not going to go to the left 2 units you're going to go to the RIGHT 2 units and vice versa!! another thing remember that if it's inside the parenthesis it's the x-axis !! if outside then it's y-axis example: (3+4)^4+3 look inside the parenthesis, that tells me that it's not going to flip on the x axis cause and im going to translate to the left 4 units ! cause remember u go the opposite.and that +3 will tell me to go UP 3 units and that tells me how to translate on the y axis!! I gave u extra info im very sorry i just wanna help as much as possible and I hope this helps !!What is the image of the point (8,-6) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-8,6)
Step-by-step explanation:
rotating 180 degrees: x and y coordinates change signs
After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).
What are the coordinates of a point?A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.
Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.
Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.
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A sprinkler line uses 1 in. diameter pipe. How much water could 2,000 in. of pipe hold?
Answer:
Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571
Step-by-step explanation:
Hope this helps
Gabriel is shipping a package of golf balls to his father for his birthday present. Each golf ball weighs 1.6 oz and the package he is shipping them in weighs 15 oz . The function f(x)=1.6x+15 represents this problem situation . In this function , what does the x represent
Answer:
x represents the number of golf balls in the packageStep-by-step explanation:
Given that the function is f(x)=1.6x+15,
we can see that the function corresponds to the equation of a straight line
that y=mx+c
now comparing this function with the equation of a straight line
f(x)=1.6x+15
y=mx+c
we can see that
x represents the number of golf balls in the package
15 is constant c which is the weight of the package used in the shipping
Match each set of points with the slope of the line formed by the ordered pairs.
(0,7) and (2,4)
slope = -2
(1,-3) and (-1,-3)
slope = -3/2
(-1,3) and (-1.-3)
OOOOO
slope = 1/2
(0,0) and (2,1)
zero slope
(0,-1) and (2.-5)
no slope
Answer:
heres your answer (this is my first time answering)
Step-by-step explanation:
(0,7) and (2,4)=-3/2
(1,-3) and (-1,-3)=zero
(-1,3) and (-1.-3)=No slope
(0,0) and (2,1)=1/2
(0,-1) and (2.-5)=-2
What is formula for slope?Slope of a line = (y₂-y₁)/(x₂-x₁)
The slope formula is (y₂-y₁)/(x₂-x₁)
For (0,7) and (2,4)
Slope=4-7/2=-3/2
For (1,-3) and (-1,-3)
Slope=-3+3/-2=zero
For (-1,3) and (-1.-3)
Slope=-3-3/-1+1=No slope
For (0,0) and (2,1)
Slope=1/2
For (0,-1) and (2.-5)
Slope=-5+1/2=-2
Hence we matched with respective slope to equations.
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Maddy received $60 for her birthday and decided to go shopping. She bought 2 shirts priced at $12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax, and she gave the cashier all of her birthday money, how much change did she get back?
Answer:
$3.75
Step-by-step explanation:
Cost of one shirt = $12.25
cost of two shirt = 2*Cost of one shirt= 2*$12.25 = $25
cost of necklace = $8.50
cost of pair of shoes = $22.75
Total cost for the shopping = cost of two shirt+cost of necklace+ cost of pair of shoes
Total cost for the shopping = $25 + $8.50+ $22.75 = $56.25
Given that Maddy had done total shopping worth $56.25 but she gave cashier all her birthday money which is equal to $60.
Then , cashier will return all the money from $60 exceeding $56.25
change returned to money = money given to cashier - total cost for shopping
change returned to Maddy = $60 - $56.25 = $3.75
Thus, Maddy got Back $3.75
Write 65 as a product of primes
Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.
Step-by-step explanation:
Select all of the following statements that are TRUE
Group of answer choices
-When you graph an inequality, the arrow always goes to the left.
-The equal sign bar under the inequality symbol means you user a closed circle.
-When you subtract a number on both sides of an inequality, you must flip the inequality sign.
-When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.
-When you graph an inequality, the arrow always goes to the right.
-The equal sign bar under the inequality symbol means you user an open circle.
-When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.
Answer:
True statements
The equal sign bar under the inequality symbol means you use a closed circle.When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.Additional information
Closed circle: ≤ or ≥
Open circle: < or >
X squared -11 X +24 equals zero
Answer:
x=3, 8
Step-by-step explanation:
x²-11x+24=0 can be factored to
(x-3)(x-8)=0
3-3=0
8-8=0
So, x can be 3, 8