Which of the following options have the same value as
65% of 20?
Choose 2 answers:
Answers
Answer:
A) 0.65 · 20
D) [tex]\mathsf{\dfrac{65}{100} \cdot 20}[/tex]
Step-by-step explanation:
To find 65% of 20:
Method 1
65% in decimal form is: 65% = 65/100 = 0.65
Therefore, to find a percentage of a number, multiply the percentage in decimal form by the number:
[tex]\mathsf{\implies 65\% \ of \ 20 = 0.65 \cdot 20}[/tex]
Method 2
Divide the number by 100 to get 1%, then multiply this by 20 to get 20%.
[tex]\mathsf{\implies \dfrac{65}{100} \cdot 20}[/tex]
~The word "of" stands for multiplication.~
65/100 × 20 [65% = 65/100]Step-2: Verify all the optionsOption A) 0.65 × 20
~0.65 can be converted to fraction, which is 65/100.~
⇒ 65/100 × 20 = 65/100 × 20 [0.65 = 65/100]~This expression correctly matches with the resulting expression.~
Thus, option A is correct.
Option B) 65/100 ÷ 20
⇒ 65/100 ÷ 20 = 65/100 × 20This could've been equivalent to the resulting expression. However, the expression has a division sign.
Thus, Option B is incorrect.
Option C) 65/20 × 100
~To avoid confusion, let's further solve the expression.~
65/20 × 100⇒ 65/1 × 5⇒ 325~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13~Since 13 does not equal 325, "65/20 × 100" does not equal "65/100 × 20".~
Thus, option C is incorrect.
Option D) 65/100 × 20
~This equation is the resulting equation.~
Thus, option D is correct.
Option E) 65 × 20
~To avoid confusion, let's further solve the expression.~
65 × 20 ⇒ 650 × 2⇒ 1300~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13Since 1300 does not equal 13, 65 × 20 does not equal 65/100 × 20.
Thus, option E is incorrect.
Step-3: Make a conclusionOption A and D were equivalent to 65/100 × 20.
Related Questions
1/5a+5=21, what is the value of a
Answers
Answer:
the value of a is 80
A=80
Step-by-step explanation:
Answer: A=100
Step-by-step explanation: You multiply 1/5A by 5 and 21 by five. A+5=105 and then you subtract 5 giving you 100
9 ≤ 2(3a − 3) ≤ 24
what is the answer plzzzzzzz
Answers
Answer:
a = 3a = 4a = 5There are three solutions. I hope this helps!
what is the domain? What is the range
Answers
Answer:
domain: -∞ < x < ∞range: -∞ < y ≤ 4Step-by-step explanation:
The domain is the horizontal extent of the function graph. The range is its vertical extent. The arrows on the ends of the lines indicate they extend to negative infinity in the vertical direction, and to ± infinity in the horizontal direction. The maximum value of the function is y=4.
The domain of the function is -∞ < x < ∞.
The range of the function is -∞ < y ≤ 4.
a window washer cleaned 42 windows and 4 hours at this rate how many windows will he wash in 10 hours
Answers
Answer:
105
Step-by-step explanation:
42/4 = 10.5 windows/hour
10.5 x 10 = 105 windows
What is the slope of this problem.
Answers
Answer:
Slope of the line= -1
Step-by-step explanation:
The given line is of equation y= -x
Slope of any line= y/x
= -x/x= -1
How many solutions does the system of equations have?
y = 9x - 4
y = -6x + 6
Answers
Answer:
1 solution (2/3, 2)
Step-by-step explanation:
someone pls answer this!!
Answers
Answer:
line p
Step-by-step explanation:
Line p forms both angle 3 and angle 5 by passing through other lines. It is also a transversal because it passes through a system of lines (line n and l).
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y. Which table represents this situation?
y
y
24
12
24
8
24
6
24
0
38
18
36
12
36
9
36
48
24
48
16
48
12
48
10
60
30
60
20
60
15
60
Answers
Answer:B; (12,24) (18,36), etc
Step-by-step explanation:divide y and x, in this case 24÷2=12
The ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y.
x = y/2
or
2x = y
Based on the above equation the pairs of (12,24) (18,36), (24, 48), and (30, 60) satisfy the equation.
Thus, the ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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SOMEONE PLS HELP ASAP
Answers
Answer: h(3) = 1
Step-by-step explanation: If x = 3, draw a straight horizontal line at it. It crosses 1 at y, so h(3) = 1.
please help :( A large rectangle has a length of 30 inches and a width of 27 inches. A smaller rectangle has a length of 10 inches and a width of question mark inches. The diagram represents the process of enlarging a rectangle using a scale factor of 3. The width of the original rectangle must be: 9 in. 11 in. 12 in. 17 in.
Answers
Answer:
9in
Step-by-step explanation:
I´m telling you I just got it Right
Answer:
It’s A
Step-by-step explanation:
GOT IT RIGHT
Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answers
Answer:
Given triangles are similar
Step-by-step explanation:
We can tell that given triangles are similar by comparing their side lengths.
HG is proportional to KJ
GI is proportional to JL
IH is proportional to LK
we can see the proportion better if we write it like this:
25/75 = 1/3
30/90 = 1/3
19/57 = 1/3
Find the area plllllllllssssss
Answers
Answer:
A = 25 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 10 × 5 = 5 × 5 = 25 ft²
Which is bigger -2.5 or -3/1
Answers
Answer:
-2.5
Step-by-step explanation:
-2.5 is greater.
What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)
A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)
Answers
Find the value (6° -2°) x (6° +2°)
Answers
Answer:
0
Step-by-step explanation:
using the identity
[tex]a^{0}[/tex] = 1 , then
([tex]6^{0}[/tex] - [tex]2^{0}[/tex] ) × ([tex]6^{0}[/tex] + [tex]2^{0}[/tex] )
= (1 - 1) × (1 + 1)
= 0 × 2
= 0
a^0 = 1
6^0-2^0 = 1-1
= 0
(6^0 -2^0)*(6^0+2^0) = 0*(1+1)
= 0
1. What is the degree of
the polynomial
below?
x^3 + 2x - 3x^4 + 5 +
3х^2
Answers
Answer:
4
Step-by-step explanation:
The highest power(exponent) of the variable 'x' is the degree of the polynomial.
In this sum the highest power of x is 4
Degree = 4
Write an equation and solve for x using the given information. (see image attached)
Answers
Answer:
Equation : 6x + 8 = 26
x = 3
Step-by-step explanation:
The given shape is a rectangle.
Here ( x + 1 ) cm and ( 2x + 3 ) cm are the sides,
where,
Length ( l ) = 2x + 3
Breadth ( b ) = x + 1
Perimeter is the sum of all sides.
Formula : -
Perimeter of a rectangle = 2 ( l + b )
Perimeter of a rectangle
= 2 ( 2x + 3 + x + 1 )
= 2 ( 2x + x + 3 + 1 )
= 2 ( 3x + 4 )
= 2 ( 3x ) + 2 ( 4 )
= 6x + 8
The given value of the perimeter is 26 cm.
So the equation is,
6x + 8 = 26
The value of x can be found by solving this equation.
6x + 8 = 26
Subtract 8 on both sides,
6x = 26 - 8
6x = 18
Divide 6 on both sides,
x = 18 / 6
x = 3
Hence the value of x is 3.
What is the the independent quantity and the dependent quantity.
If Sam buys the pair of shoes for $64, he will have to pay a sales tax of $5. 28
Answers
Hey there!
Total = Price+ Sale s tax
=> $64 + $5. 28
=> $69.28
Therefore, Total cost is $69.28
The independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
In this scenario, the independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
The cost of the shoes is the independent variable because it is the value that is being used to calculate the amount of sales tax, which is the dependent variable.
The amount of sales tax depends on the cost of the shoes, hence the name "dependent variable."
To learn more about the independent and dependent variables click here:
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Involves sine/cosine rules
Answers
Answer:
44.47 cm² (nearest hundredth)
Step-by-step explanation:
Area of ΔABC = 1/2 x base x height
⇒ 21 = 1/2 x 7 x BC
⇒ BC = 6 cm
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AB² + BC² = AC²
⇒ 7² + 6² = AC²
⇒ AC² = 85
⇒ AC = √85 cm
Cosine rule to find length AD:
c² = a² + b² - 2 ab cosC
⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)
⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°
⇒ AD² - 5.39106...AD + 0.36 = 0
⇒ AD = 5.323442445, 0.06762541414
⇒ AD = 5.323442445
Area of a triangle ADC: (1/2)absinC
(where a and b are adjacent sides and C is the angle between them)
⇒ area = (1/2) × AC × AD × sin(DAC)
⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)
⇒ area =23.4675821... cm²
Area of quadrilateral = area of ΔABC + area of ΔADC
= 21 + 23.4675821...
= 44.47 cm² (nearest hundredth)
Jhone worked at the Dollar store and someone had a toy that was 3.50$ and the man gave Johne 5.00$ So how much do jhone have to give him back
Answers
So he have to give him back $1.50
I NEED HELP. I MAY MARK BRAINLEIST
Answers
Complementary Angles
Explanation:
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.[1] Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves define also an angle, which is the angle of the tangents at the intersection point. For example, the spherical angle formed by two great circles on a sphere equals the dihedral angle between the planes containing the great circles.
An angle formed by two rays emanating from a vertex.
shylas resreach shows that 8 empty cans can make 1/4
Answers
8 cans equal 2 and not 1/4
The pages of Ayhan's book are numbered from 1. The page numbers have a total of 459 digits.
How many pages does the book have?
A) 119
D) 215
B) 189
E) 219
C) 190
Answers
Step-by-step explanation:
the first 9 pages have 1 digit (1 to 9).
the next 90 pages have 2 digits (10 to 99).
that is in total
9×1 + 90×2 = 189 digits.
that leaves us
459 - 189 = 270 digits for pages with 3 digit page numbers (100 and up).
there are 900 pages with 3 digit page numbers = 2700 digits, which is larger than 270.
so, the solution must be in this interval (there are no pages with 4 digit page numbers like 1000).
after how many pages with 3 digit pages numbers do we have a total of 270 digits ?
270/3 = 90 pages.
so, we have 9 + 90 + 90 = 189 pages in the book.
BRAINLIEST PLS HURRY
A gym charges members $25 for a registration fee, and then $34 per month. You became a member some time ago, and now you have paid a total of $501 to the gym. How many months have passed since you joined the gym?
_______ months have passed since you joined the gym.
Answers
Answer:
14 months
Step-by-step explanation:
501 - 25 = 476
476 / 34 = 14
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
what is rebooting computer?
Answers
https://en.m.wikipedia.org/wiki/Reboot
Hope this helps. If you need any more help please comment. Good luck in your learning journey and have a wonderful day/night!! :)
Solution set for -8y<72
Answers
Answer:
y < -9
Step-by-step explanation:
-8y < 72
~Divide -8 to both sides
y < -9
Best of Luck!
BRAINLIEST ASAP!! Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answers
Question: Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answer: Focus: (3, 2)
Step-by-step explanation:
Use the vertex form to find the focus. Hope this helps!
1/4x20 in fraction for prodigy math game
Answers
Answer:
5
Step-by-step explanation:
You must be at least 21 to enter
the club.
х over or under 21
Answers
Question 6 options:
The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?
Round to the nearest cent (hundredths place).
Answers
Answer:
Monthly budget = $4444.44
Step-by-step explanation:
Let the monthly budget of Edwards family = x dollars
18% of monthly budget spends on groceries
Hence,
18% of x = 800
[tex]{\dfrac{ 18 }{ 100 } \times x = 800}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}[/tex]
[tex]100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]18x = 80000[/tex]
[tex]\mathrm{Divide\:18\:from\:both\:sides}[/tex]
[tex]\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }[/tex]
[tex]x = 4444.444444444[/tex]
Rounded to the nearest cent: $4444.44