Answer:
The difference between the games won and lost = 21 - 6 =15
Step-by-step explanation:
According to the question In a football season a team gets 3 points for a win, 1 point for a draw and 0 points for a loss.
A particular season a team played 34 games and lost 6 games . Finding the difference between game won and game lost simply means we have to know the number of game lost and game won.
The team played a total of 34 games.
Total games played = 34
Out of the 34 games played they lost 6 games. That means the remaining games is either win or draw. Therefore,
34 - 6 = 28 games was won or draw
Let
the number of games won = x
the number of game drew = y
3x + y = 70.............(i)
x + y = 28................(ii)
x = 28 - y
insert the value of x in equation(i)
3(28 - y) + y = 70
84 - 3y + y = 70
84 - 70 = 3y -y
14 = 2y
divide both sides by 2
y = 14/2
y = 7
insert the value of y in equation(ii)
x + y = 28
x = 28 - 7
x = 21
The team won 21 games , drew 7 games and lost 6 games.
The difference between the games won and lost = 21 - 6 =15
Help please which option
Answer:
Step-by-step explanation:
-1<x<3. I hope it helpful!
Find the area in square meters of a circular pond with a radius of 9 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
The area of a circular pond with a radius of 9 ft is, 23.64 m².
What is Circle?The circle is a closed two dimensional figure, in which the set of all points is equidistance from the center.
We have to given that;
The radius of circle = 9 feet
Now, We know that;
⇒ 1 feet = 0.3048 m
⇒ 8 feet = 8 × 0.3048 m
= 2.7432 m
We know that;
⇒ Area of circle = πr²
Substitute all the values, we get;
⇒ Area of circle = 3.14 × (2.7432)²
⇒ Area of circle = 3.14 × 7.53
⇒ Area of circle = 23.64 m²
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i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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QUESTION 1
The ingredients for Apple Crumble cost you $1.45 per serving. If your bakery menu lists a price of $4.95 for your Apple Crumble, then what percent
of the sale goes to the food cost?
The percentage of sale that goes to the food cost is 341.3%.
The ingredients for Apple crumble cost = $1.45 per serving.
The selling price of the Apple crumble = $4.95
percentage of the sale that goes to the food cost = ?
according to the question, we formulate:
% sale that goes to the food cost = cost of ingredients/selling price of the apple crumble×100
% sale = 4.95/1.45 × 100
% sale = 3.41 × 100
% sale = 341.3%
Hence the percentage of sale that goes to the food cost is 341.3%.
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4(1-x)<16 solve and graph
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answer:
25.12 is the Circumference Area is 50.24
Step-by-step explanation:
Area is cm2 Circumference is cm
Answer:
Circumference is 25.1=
\(8\pi\)
Area is 50.2=
\(16\pi\)
PLZ HELP ILL MARK AS BRAINLIEST
Answer:
\(2,712 \: {yd}^{2} \)
Step-by-step explanation:
Height of cylinder (h) = 24 yd
radius of cylinder (r) = 6 yd
Lateral surface area of the cylinder
\( = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} \)
In the year 2010, Xavier's car had a value of $22,000. When he bought the car in 2006 he paid $28,000. If the value of the cardepreciated linearly, what was the annual rate of change of the car's value? Round your answer to the nearest hundredth if necessary.
The annual rate of change is given by:
\(A\mathrm{}R\mathrm{}C=\frac{f(b)-f(a)}{b-a}\)\(\begin{gathered} A\mathrm{}R\mathrm{}C=\frac{22000-28000}{2010-2006} \\ A\mathrm{}R\mathrm{}C=\frac{-6000}{4}=-1500 \end{gathered}\)Hence, the annual rate of change is -1500 dollars/year, meaning the car depreciates/loses value by an amount of 1500 dollars
How many 6-digit numbers are there in our system of counting numbers?
there are 900,000 6 in all
brainliest or a thank you please <33 :)
Urgent, please help
I'll mark brainliest
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer:
a: Angle EBD
b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD
c: Arc EDC
d: 80 degrees
e: 180
Step-by-step explanation:
An inscribed angle is an angle with all 3 points on the circumference of a circle.
A semicircle is half a circle
A major arc is an arc greater than 180 degrees
The inner angle is 80 degrees
Arc BCD is half a circle so its 360/2=180 degrees
Which of the following is a factor of 9x^2+21+10
Answer: 3x+5
Step-by-step explanation:
trust me i had that question for home work
uploaded
Screenshot 2023-03-06 9.
57.19 AM.pn
The relationship between the diameter of a circle and it's circumference is presented in this problem.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
\(C = 2\pi r\)
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.
The diameter is twice the radius, hence, for a circle with diameter 35 in, the radius is given as follows:
r = 0.5 x 35
r = 17.5 in.
Then the circumference of the circle is given as follows:
C = 2 x pi x 17.5
C = 109.9 in.
Missing InformationThe problem is incomplete, hence the relation between the diameter of a circle and it's circumference is presented.
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What is the place value of the 3 in the following number:
0.2738
Answer:
It is in the thousands place
Which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
As the function approaches a certain x-value, it makes a very sharp turn and doesn't touch the axis as you can see in the graph. It does that because if the x-value is applied to the function, it would make it undefined. In this case, the graph is approaching x = -3 and x = +7 since at those points, the lines for the graph change suddenly. You would look for a function that if x is -3 or 7, it makes the y-value undefined.
Another way to easily do this would be to substitute values that are in front of the value that the graph is avoiding like 6 or 8 for 7 and -2 and -4 for -3. You can see if the y-values that would output from substituting those numbers are correct.
Find the missing angle measure. Show work.
17.
7
20
24
Solve the remaining parts of the triangle.
19.
B
38
12.5 C
7
13
17.
18.
19, AC=
AB-
mzB
Need help with all these please. Asap urgent help need this done before Monday
To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.
By subtracting these two angles from 180 degrees, we get:
180 - 38 - 12.5 = 129.5
Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.
The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.
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PLSS HELP!!
Explain the process to simplify the rational expression including any domain restriction.
Explain why there are domain restrictions.
Simplify: 2x²+13x+20
———————
2x2+17x+30
the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).
What is factor?In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).
In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.
To simplify a rational expression, follow these steps:
Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).
Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.
Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:
\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)
Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.
It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.
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what is the nth term in a cube number sequence
Answer:
cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).Step-by-step explanation:
IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)Brian has a melon that weighs 3 pounds. He cuts it into six equal pieces .how many ounces did each piece weigh?
Answer:
8 oz
Step-by-step explanation:
1 lb = 16 oz
3 lb = 3 * 1 lb = 3 * 16 oz = 48 oz
The melon weighs 48 oz.
48 oz / 6 = 8 oz
Answer: 8 oz
Whats the two answers? ( Branliest )
Answer:
B and CStep-by-step explanation:
Factors:
(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors#A
x+yNo
#B
5(x+y)5x+5yYes
#C
(x-y)(x+y)Yes
#D
xyzNo
Enter the number that belongs in the green box
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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onsider the function y = acos(bx), where a > 0 and b > 0. Which change affects the locations of the x-intercepts of the graph?
A Decrease a.
B Decrease b.
C Change the sign of a.
D Change the sign of b.
Answer:
The dude who said he knows everything is wrong its Decreese B
Step-by-step explanation:
First of all I got it right on ed, its because if the B was 5 , the x would be different than if the B was 4. So its "decrease B"
Answer: B
Step-by-step explanation:
Simplify 2y + 3y / 2 + 6y + 7y2
Answer:
19y/2 + 7y2
Step-by-step explanation:
Subtract 5 from me. Then add 2. If you subtract 10 and add 3, you get 15. What number am I
Answer:
5
Step-by-step explanation:
15-5=10
10+2=12
12-10=2
3+2=5
Answer:
25
Step-by-step explanation:
15-3=12
12+10=22
22-2=20
20+5=25
Now take 25 and go in the order the question states.
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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Inequalities - Introduction
Answer:
Step-by-step explanation:
This number line says that we can take all values of x that are less than or equal to 2. That is, the solution is
\(x\leq 2\)
NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)
Your turn
The perimeter of a triangular building is 450 feet. Find
the length of each side,
ILL MARK BRAINLIEST ANSWER HURYYYY PLEASEEE‼️‼️‼️‼️‼️
Answer:
450/3
Step-by-step explanation:
According to the graph, a person has a fever when his or her body temperature is .
ANSWER:
A number line going from 95 to 102. A closed circle is at 100. Everything to the right is shaded.
Dr. Hilton uses the graph to determine if a patient has a fever. The graph shows body temperatures, in degrees Fahrenheit, that indicate a fever.
According to the graph, a person has a fever when his or her body temperature is
✔ at least 100 degrees
.
A rectangular paperboard measuring 20in long and 12in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.)
A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.
The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.
The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.
The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.
The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:
P = 20 + 12 + 12 = 44 inches
However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:
C = πr
where C is the circumference of the semicircle and r is the radius.
Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:
C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)
Therefore, the perimeter of the remaining part is:
P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)
So, the perimeter of the remaining paperboard is 34.58 inches.
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Choose the four expressions that are equivalent to 6^−2.
Answer:
y=-3/2x+4
Step-by-step explanation:
The expression 6⁻² can be written as -
6⁻² = 1/6²
6⁻² = 1/36
6⁻² = (1/6 x 1/6)
What is an expression? What is equation Modelling?A mathematical expression is a combination of terms separated by mathematical operators. For example : 2x + 3y + 6. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
6⁻²
We can write the expression 6⁻² in the following possible ways -
6⁻² = 1/6²
6⁻² = 1/36
6⁻² = (1/6 x 1/6)
Therefore, the expression 6⁻² can be written as -
6⁻² = 1/6²
6⁻² = 1/36
6⁻² = (1/6 x 1/6)
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