Answer:
The ratio between won and lost is [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
The question in English is
A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?
Let
x ------> the number of games won
y -----> the number of games lost
we have
[tex]x=21\ games[/tex]
[tex]y=12\ games[/tex]
we know that
To find the ratio divide the number of games won by the number of games lost
so
[tex]\frac{x}{y}[/tex]
substitute the values
[tex]\frac{21}{12}[/tex]
Simplify
[tex]\frac{7}{4}[/tex]
Veronique found the difference of a number and 8. Which expression models the situation? QUICK! 10 PTS A. n-8 B. 8/n C. n/8 D. 8-n
Answer:
Option A n-8
Step-by-step explanation:
Let
n ----> the number
we know that
The algebraic expression for the phase"the difference of a number and 8" is equal to subtract 8 from the number n or is equal to the number n minus 8
so
n-8
Answer:
a
Step-by-step explanation:
The width of a rectangular park is 23.4 yards. What is the perimeter of the park if the length is 2.5 times larger than the width.
Answer:
163.8 yd
Step-by-step explanation:
The perimeter of a rectangle is twice the length added to twice the width.
The width is 23.4 yd.
The length is 2.5 times the width, so to find the length, we multiply the width by 2.5.
length = 2.5 * width = 2.5 * 23.4 yd = 58.5 yd
The length is 58.5 yd.
perimeter = 2 * length + 2 * width
perimeter = 2 * 58.5 yd + 2 * 23.4 yd
perimeter = 117 yd + 46.8 yd
perimeter = 163.8 yd
[tex]Hey![/tex]
-------------------------------------------------
[tex]\large\boxed{Perimeter~of~the~retangular~park~is~163.8~yards!}[/tex]
-------------------------------------------------
[tex]Steps To Solve:[/tex]
[tex]Find~the~length.[/tex]
[tex]23.4~*~2.5~=~58.5[/tex]
[tex]Find~the~perimeter.[/tex]
[tex]p~=~(length~*~2)~+~(width~*~2)[/tex]
[tex]p~=~(58.5~*~2)~+~(23.4~*~2)[/tex]
[tex]p~=~117~+~46.8[/tex]
[tex]p~=~163.8[/tex]
-------------------------------------------------
[tex]Hope~This~Helped!~Good~Luck![/tex]
I need these now please:
14y-5(3-2y)
7(y+3)-2y
-4(x+6)+2(x-2)
6x-3x+1-5x+2
14x-5(-2x+3)
3(x-y+5)
Answer:
1. 14y-5(3-2y)
14y-15+10y
Ans = 24y-15
2. 7(y+3)-2y
7y+21-2y
Ans = 5y+21
3. -4(x+6)+2(x-2)
-4x-24+2x-4
Ans = -2x-28
4. 6x-3x+1-5x+2
Ans = -2x+3
5. 14x-5(-2x+3)
14x+10x-15
Ans = 24x-15
6. 3(x-y+5)
Ans = 3x-3y+15
Step-by-step explanation:
You have to first multiply the number outside the parantheses to the number(s) inside the parantheses.
Then, you have to combine all the like terms.
And then there's your answer !!!
GOOD LUCK !!!
Laura is selling raffle tickets. for every 4 tickets, she charge $28
Answer:
$7.oo for one ticket
Step-by-step explanation:
if Laura is selling 4 tickets for $28 then you would divide 28 by 4 and that's your answer.
7.21 repeating as a fraction
Answer: 721/100 is 7.21 as a simplified fraction.
Answer:
7.21 as a numerator and put 1 as a denominator now you multiply numerator and denominator by 10 as long as get in numerator the whole number 7.21=7.21 /1=7.21/10=7.21/100 and finally we have 7.21 as a fraction equals 7.21/100
Step-by-step explanation:
Question:
15 5/12 - 11 1/8
A. 4 7/28
B. 4 7/12
C. -4 1/3
D. -4 7/24
1) Multiplying by 1/2 has the same results as?
2) Multiplying by 1/3 has the same results as?
3) Multiplying by 1/4 has the same results as?
4) Multiplying by 1/c has the same results as?
Multiplying by a fraction is the same as dividing by its reciprocal
1) Multiplying by 1/2 is the same as dividing by 2
2) Multiplying by 1/3 is the same as dividing by 3
3) Multiplying by 1/4 is the same as dividing by 4
4) Multiplying by 1/c is the same as dividing by c
Is 2/3 and 8/12 in equivalent ratio
Answer: if your question here is if they are the same since it says equivalent then yes
Step-by-step explanation: 2/3 = 8/12
13822 to 1 significant figure
If you wanna round 13822 to 1 significant figure you will need to find the nearest 10k, which is 10000 in this case
10000 = 1 . 10^4
That means
13822 ≈ 1 . 10^4 = 1(overline)0000
The Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.
What are significant figures?Significant digits are the figures in a number that express the value -the size of a quantity to a specified degree of accuracy.
It is given that:
13822 to 1 significant figure
The number is 13822
Answer: 13822
Significant Figures: 5
Decimals: 0
Scientific Notation: 1.3822e+4
Thus, the Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.
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200 – 4 to the second power + 9 • 10
Answer:
1,930 is the answer. Why?
Step-by-step explanation:
200-4^2
200-16= 184
184+9=193
193 times 10= 1,930
11. Is the fraction 1/3 equivalent to a terminating
decimal or a decimal that does not terminate?
Answer:
It is equivalent to a decimal that does not terminate.
Step-by-step explanation:
When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.
5. A grocer wishes to mix two kinds of nuts costing
$2.41 per pound and $3.65 per pound to make a
248 pounds of mixed nuts costing $2.51 per pound.
To determine the number of pounds of the $2.41
per pound nuts in the mixture, solve for x in the
equation 2.41x +3.65(248 - x) = 622.48. How
many pounds of the $2.41 per pound nuts should
included in the mixture?
Ans:
The solve for x:
2.41x+3.65(248-x)=622.48
2.41x+3.65×248-3.65x=622.48
2.41x-3.65x+905.2=622.48
-1.24x=622.48-905.2
-1.24x= -282.72
x= -282.72÷ -1.24
x=228
Pounds of nuts nper pound $2.41should be included:
228× $2.41
=549.48
Hope it Helps!
The grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
The grocer is trying to find the right balance of two kinds of nuts to reach a desired price point for a mix. The equation provided should be solved for x, which represents the number of pounds of nuts costing $2.41 per pound. Here is a step-by-step solution:
Begin with the given equation: 2.41x + 3.65(248 - x) = 622.48.
Distribute 3.65 across the parentheses: 2.41x + 3.65 * 248 - 3.65x = 622.48.
Combine like terms: -1.24x + 904.80 = 622.48.
Subtract 904.80 from both sides of the equation: -1.24x = -282.32.
Divide both sides by -1.24 to find x: x = 227.84.
So, the grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
What is the answer to -2+25x+17=-35
Your Answer is x = −2
Hope this Helps.
what could these numbers be?
Answer:
A could be 50
e could be 120
d/o could be 150
e could be 180
Help me out. Can you figure this one out?
Answer:
x = 62
Step-by-step explanation:
Given that 2 sides of the triangle are congruent ( both 6 ), then the triangle is isosceles and the 2 base angles are congruent, thus
x = 0.5( 180 - 56)° = 0,5 × 124° = 62°
how to convert 11 1/6 into a decimal
Answer:
11.167
Step-by-step explanation:
11 [tex]\frac{1}{6}[/tex] = 11 + ( 1 ÷ 6 )
What is 2.6666 as a fraction
To write 2.6666 as a fraction, write 2.6666 as the numerator with 1 as the denominator.
2.6666/1
Now you multiply numerator and denominator by 10000 to make the numerator a whole number ( no decimals)
26666/10000
Both numbers are even and can be divided by 2:
The fraction becomes: 13333/5000
X divided by 6 is 4. What is Z?
Answer:
this is so hard
Step-by-step explanation:
What is the unit and standard form for 10 x 3 tens
Answer:
300
Step-by-step explanation:
All you do is multiply 10 by 30 [3 tens] to get three hundred.
I am joyous to assist you anytime.
For algebra 1
5x + 4x - 8 = 28
5x+4x-8=28
9x-8=28
Move -8 to the other side
Sign changes from -8 to +8
9x-8+8=28+8
9x=28+8
9x=36
Divide both sides by 9 to get x by itself
9x/9=36/9
Answer: x=4
Consider the following system of equations.
y=6x^2+1
y=x^2+4
Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
The graphs of the equations intersect each other at two places.
D.) "The graphs of the equations intersect each other at two places."
write 32/10 as a whole or mixed number in simplest form
Step-by-step explanation:
To get the simplest form keep dividing until you can't anymore. So first I'll divide by 2 which equals 16/5 which can't be divided anymore because there is no common denominator.
Donna was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 2 she was at −300 points. During round 2 she answered twelve 50 point questions correct and she answered four 50 points questions incorrect. What was her score at the end of the round 2? A) 50 B) 100 C) 200 D) 400
Step-by-step explanation:
B 100
Answer:
B
Step-by-step explanation:
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS? StartRoot 10 EndRoot units 8 StartRoot 2 EndRoot + 2 StartRoot 10 EndRoot units 16 StartRoot 2 EndRoot units 8 StartRoot 2 EndRoot + 8 units
Answer:
The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex] ⇒
2nd answer
Step-by-step explanation:
* Lets revise some properties of the parallelogram
- Each two opposite sides are parallel
- Each two opposite sides are equal
- Its perimeter is the twice the sum of two adjacent sides
* Lets solve the problem
∵ PQRS is a parallelogram
∵ The length of side SR is [tex]4\sqrt{2}[/tex]
∵ The length of side QR is [tex]\sqrt{10}[/tex]
∵ SR and RQ are two adjacent sides
∵ The perimeter of parallelogram PQRS = 2(RQ + SR)
∴ The perimeter of parallelogram PQRS = [tex]2(\sqrt{10}+4\sqrt{2})[/tex]
∵ [tex]2*\sqrt{10}[/tex] = [tex]2\sqrt{10}[/tex]
∵ [tex]2*4\sqrt{2}[/tex] = [tex]8\sqrt{2}[/tex]
∴ The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex]
The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
Given that,
On a coordinate plane, parallelogram PQRS,
There points are P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2),
Length of SR = [tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex].
We have to find,
The perimeter of parallelogram PQRS.
According to the question,
The properties of the parallelogram is each two opposite sides are parallel and each two opposite sides are equal.
Its perimeter is the twice the sum of two adjacent sides
Then, PQRS is a parallelogram,
SR and RQ are two adjacent sides,
The perimeter of parallelogram PQRS = 2(RQ + SR)
The perimeter of parallelogram PQRS = [tex]2 ( 4\sqrt{2} + \sqrt{10} )[/tex]
The, The perimeter of parallelogram PQRS = [tex]8\sqrt{2} + 2\sqrt{10}[/tex].
Hence, The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
For the more information about Parallelogram click the link given below.
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es - At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay
and then for 3 hours at overtime pay for an extra $2.20 an hour. How much money did they earn in total?
$404.60
$418.90
$432.20
$452.80
Submit
The Number System
(MGSEZ NS3) Solve Problems with Rational Numbers
Answer:
[tex]\$452.80[/tex]
Step-by-step explanation:
we know that
To find out how much money did they earn in total sum the product of the hours at regular pay by $8.20 plus the product of the hours at overtime pay by ($8.20+$2.20), all multiplied by the number of employees
so
[tex][(10)(8.20)+(3)(2.20+8.20)](4)[/tex]
[tex][82+31.2](4)[/tex]
[tex][113.2](4)[/tex]
[tex]\$452.80[/tex]
Answer:
$ 452.80
Step-by-step explanation:
Given,
The regular payment per hour for each employee = $ 8.20,
∵ Number of regular hours = 10,
Thus, wages for each employee in regular hours = 10 × 8.20 = $ 82,
Also, the overtime charges per hour = 8.20 + 2.20 = $ 10.4,
∵ Number of overtime hours = 3,
Thus, the overtime charges for each employee = 3 × 10.4 = $ 31.2,
∴ Total earning of each employee = 82 + 31.2 = $ 113.2,
Now, number of employees = 4,
Hence, the total earning of all employees = 4 × 113.2 = $ 452.8
Write a rule for the linear function with the following description. The graph contains the points (-3,-2) and (3, 0).
Answer:
[tex]y = \frac{1}{3} x -1[/tex]
Step-by-step explanation:
1. find the slope that includes the points (-3,-2) and (3,0)
[tex]\frac{y2-y1}{x2-x1} =m[/tex] ->slope
0-(-2)/3-(-3) = [tex]\frac{2}{6} (simplify) = \frac{1}{3}[/tex]
2. find the y-intercept
[tex]y = mx +b[/tex] -> slope-intercept form
plug in the y-coord. and the x-coord along with the slope you found (or rather I found) and solve. It could be from either coordinate given.
[tex]0=\frac{1}{3} (3)+b[/tex]
3. solve.
[tex]0 = 1 +b[/tex]
[tex]-1 = b[/tex]
4. write the equation with the slope and y-int you found and voila!
what is the ratio equivalent to 5:9
Answer:
The answer is 10:18 because 5x2=10 and 9x2=18
Step-by-step explanation:
The length of a rectangle is 10 units longer than its width. If the total perimeter of the
rectangle is 44 units, what is the width?
The width of the rectangle will be equal to 12 units.
What is a perimeter?Perimeter is defined as the sum of all the sides of the given shape. The rectangle has four sides then the perimeter of the rectangle will be the sum of all the sides of the rectangle.
Given that length of a rectangle is 10 units longer than its width. The total perimeter of the rectangle is 44 units.
The width of the rectangle will be calculated as below:-
2l + 2w = P
2(10) + 2w = 44
20 + 2w = 44
2w = 24
w = 12
Therefore, the width of the rectangle will be equal to 12 units.
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the volume of a cylinder is about 1632 in. the height of the cylinder is 24 in. what is the area of the base?
Answer:
68 square inches
Step-by-step explanation:
Volume = Area × height
1632 = A × 24
A = 1632/24
= 68 inches squared
The area of the base of the cylinder is 68 inches².
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
Volume = 1632 inches
Height = 24 inches
Volume = 1632
πr²h = 1632
πr² = 1632 / 24 = 68
Area of the base.
= πr²
= 68 inches²
Thus,
The area of the base is 68 inches².
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What is the simplified form of the fraction 108/162 ?
Answer:
Reduced fraction: 2/3
Answer: 2/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 108 and 162 is 54
Divide both the numerator and denominator by the GCD
108 ÷ 54
162 ÷ 54
Reduced fraction:
2
3
Therefore, 108/162 simplified to lowest terms is 2/3.