the correct answer is A
Always concentrate on point where X or G(X) equals Zero.
For example, here point (0,2), G(X)=2 when X=Zero.
If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!
small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in 3 hours?
An airplane can fly 374.4 miles in 3 hours.
A small airplane flew 104 miles in 50 minutes.
So, the rate would be,
rate = distance / time
rate = 104/50
rate = 2.08 miles/minute
We need to find the distance the airplane can flay in 3 hours.
3 hours = 180 minutes
t = 180 minutes
r = d/t
2.08 = d/180
d = 2.08 * 180
d = 374.4 miles
Therefore, an airplane can fly 374.4 miles in 3 hours.
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Which statement is true?
O
The letter has rotation symmetry only.
0
The letter has both reflection and rotation symmetry.
The letter has neither reflection nor rotation symmetry,
The letter has reflection symmetry only.
The letter has reflection symmetry only. When one half of an object or form reflects the other half, this is known as reflection symmetry. The line where you cut is referred to as the line of symmetry, generating the two equal portions, and the two halves are reflections of one another.
What is reflection symmetry?Mirror symmetry, line symmetry, reflection symmetry, and mirror-image symmetry are all terms used in mathematics to describe symmetry with respect to a reflection. To put it another way, a figure with reflectional symmetry is unaffected by reflection. There is a symmetry line or axis in 2D and a symmetry plane in 3D.
A sort of symmetry that pertains to reflections is called reflection symmetry. Line symmetry and mirror symmetry are other names for reflection symmetry. If a figure has at least one line dividing it into two halves, one half is said to be the mirror image of the other half.
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Write The recursive formula for the sequence 18,22,26,30?
The recursive formula is an = a(n-1) +4. A recursive formula is one that defines each term in a sequence by using the term before it (s)
What is recursive formula?A recursive formula is one that defines each term in a sequence by using the term before it (s). The following parameters are defined by the recursive formulas: The sequence's first term. The pattern rule for obtaining any term from its preceding term. A recursive formula is composed of two parts: a statement of the first term and a statement of the formula that connects successive terms. The sequence is as follows: 10, 15, 20, 25, 30, 35,... Look for a recursive formula. This is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).The sequence's first term
The pattern rule for obtaining any term from its preceding term
Recursive Arithmetic Sequence Formula
To find the nth term of an arithmetic sequence, use the recursive formula:
an = an-1 + d for n ≥ 2
Where
an is the nth term of a A.P.
d is the common difference.
Given:
14, 18, 22, 26, 30, …
a1 = 14
and, d = 18-14
d = 4
a2 = a1 + 4
a2 = 14 + 4 = 18
Similarly, going this way
an = a(n-1) +4
Hence, the recursive formula is an = a(n-1) +4
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A carpenter needs to build a box to hold his wood screws. He has a sheet of wood that measures 18 inches by 12 inches. He then cuts equal squares from each corner. (a) Write an expression for the length, width, and height for the open box. (b) Write a function for the volume (use factored form).
The expressions for the length, width, and height are 18 - 2x, 12 - 2x, and x while the volume function is V = (12 - 2x)(18 - 2x)x
(a) How to determine the expression for the length, width, and heightFrom the question, we have the following parameters:
Dimension of sheet = 8 inches by 12 inches
Also from the question, we understand that:
He cuts equal squares from each corner.
The cut-out length from the sheet would represent the height of the box
Represent this cut-out length with x
So, we have
Height = x
The width and the length are then represented as
Width = Initial width - 2x
Length = Initial length - 2x
So, we have
Width = 12 - 2x
Length = 18 - 2x
(b) Write a function for the volumeThe volume of a box is the product of its dimensions
In this case, we have
Width = 12 - 2x
Length = 18 - 2x
Height = x
So, we have
Volume = Width * Length * Height
Substitute the known values in the above equation So, we have the following equation
V = (12 - 2x)(18 - 2x)x
So, the volume function is V = (12 - 2x)(18 - 2x)x
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a/4 - 5/6 = -1/2
URGENT!
ACTUALLY DO THE MATH
Get it right and ill make the first person the brainiest!
Answer:
a = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a}{4}[/tex] - [tex]\frac{5}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions
3a - 10 = - 6 ( add 10 to both sides )
3a = 4 ( divide both sides by 3 )
a = [tex]\frac{4}{3}[/tex]
Answer:
[tex]a=\frac{4}{3}[/tex]
Step-by-step explanation:
Move all terms not containing [tex]a[/tex] to the right side of the equation.
Add [tex]\frac{5}{6}[/tex] to both sides of the equation.
[tex]\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}[/tex]
To write [tex]-\frac{1}{2}[/tex] as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].
[tex]\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}[/tex]
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
[tex]\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}[/tex]
[tex]\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{a}{4}=\frac{-3+5}{6}[/tex]
Add [tex]-3[/tex] and [tex]5[/tex] .
[tex]\frac{a}{4}=\frac{2}{6}[/tex]
Cancel the common factor of [tex]2[/tex] and [tex]6[/tex].
Factor [tex]2[/tex] out of [tex]2[/tex].
[tex]\frac{a}{4}=\frac{2(1)}{6}[/tex]
[tex]\frac{a}{4}=\frac{2*1}{2*3}[/tex]
Cancel the common factor.
[tex]\frac{a}{4}=\frac{1}{3}[/tex]
Multiply both sides of the equation by [tex]4[/tex].
[tex]4\frac{a}{4} =4(\frac{1}{3})[/tex]
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of [tex]4[/tex].
[tex]a=4(\frac{1}{3})[/tex]
Simplify the right side.
Combine [tex]4[/tex] and [tex]\frac{1}{3}[/tex]
[tex]a=\frac{4}{3}[/tex]
Britney can do a job in 12 hours. if she works with jimmy, together they can get the job done in eight hours. how long would it take jimmy to do the job alone?
Jimmy will take 24 hours to do the given job alone.
What is the teamwork equation for problem solving?
Problems with teamwork are resolved using this technique. If the first person completes a task in 'A' units of time and a second person completes a task in 'B' units of time, they can complete a task in 'T' units of time together (total).
The teamwork equation can be applied, that is: (1/A) + (1/B) = (1/T)
Given, time taken by Britney to do the job individually = B = 12 hours
Also, time taken by Britney and Jimmy to do the job together = A = 8 hours
Let the time taken by Jimmy to do the job individually = A hours
Thus, using the equation established in the literature above and substituting the given values, we have:
(1/A) + (1/B) = (1/T) ⇒ (1/A) + (1/12) = 1/8 ⇒ 1/A = (1/8) - (1/12)
⇒ 1/A = (3/24) - (2/24) ⇒ 1/A = 1/24 ⇒ A = 24
Thus, Jimmy will take 24 hours to do the given job alone.
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Find the x- and y-intercepts of the graph of 4x - 9y = 20. State each answer as an
integer or an improper fraction in simplest form.
Calculation
Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]
Find the function's x-intercept: x= 5
Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]
Find the function's y-intercept: y = [tex]-\frac{20}{9}[/tex]
The chart for : 4x-9y = 20
see the attachment
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The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction. x = 20 + 9y /4
What is meant by fraction?A fraction is a portion of a whole. In arithmetic, the number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, both are integers.A complex fraction has a fraction in either the numerator or denominator. In a proper fraction, the top number is less than the lowest common.A fraction pretty much tells us how many parts of a whole we have. A fraction is identified by the slash that is written between the two numbers. Designers have a top number, the quaternion, and a bottom number, the denominator. For instance, 1/2 is a fraction.Given
x, 4x - 9y = 20
x = 20 + 9 /4 y
Steps
4x - 9y = 20
Add 9 y to both sides
4x - 9y + 9y = 20 + 9y
Simplify
4x = 20 + 9y
Divide both sides by 4
4x/4 = 20/4 + 9y/4
Simplify
x = 20 + 9y /4
Hence, The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction.
x = 20 + 9y /4
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Bert keeps honeybees on his farm. When he first started he used a six frame beehive that held 40 pounds of honey. now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive.
How much honey does Bert’s new beehive hold?
If now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive. The amount of honey that Bert’s new beehive hold is 200.
How to find the number of honey?Given data:
Number of frame beehive = 6
Pound of honey = 40
Current Frame beehive = 30
First step is to formulate an equation and then use the formulated equation to find the number of honey
40 × 30 ÷ 6
Hence,
40 × 5
= 200 honey
Therefore the number of honey is 200.
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A baseball is thrown from the pitcher's
mound at 40 m/s. It takes 0.46 seconds for
the ball to reach home plate. What is the
distance between the mound and home
plate?
Answer:
Step-by-step explanation:
Velocity = distance / time
In this problem, we need to calculate for distance, knowing time and velocity.
multiply time on both sides, on the right side the time will cancel out leaving time alone.
velocity * time = distance
40m/s * 0.46s = distance
distance = 18.4 meters
Hope it helped!
"the difference of a number cubed and 10" translated expression
Answer:
[tex]x^3-10[/tex]
Step-by-step explanation:
Let the number be x.
"A number cubed" refers to x³.
"Difference" means to subtract, so the answer is [tex]x^3-10[/tex].
Write a rule for g that represents the indicated transformations of the graph of f.
f(x)=2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down
The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11
How to determine the transformation of the function?The equation of the function is given as
f(x) = 2x⁵ - x³ + x² + 4
The sequence of transformations is given as follows:
Reflection across the y-axisVertically stretched by a factor of 3Translate down by 1 unitWhen the above transformations are combined, we have:
g(x) = 3f(-x) - 1
So, we have
3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1
This gives
3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1
Expand
3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11
So, we have
g(x) = -6x⁵ + 3x³ + 3x² + 11
Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11
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There are 39 students in the bike club.
All but 8 of them participated in a race.
What is the total cost if each student who entered the race paid $6?
Answer:
Total Cost = $186
Step-by-step explanation:
All but 8 means that All of them participated except for 8 of them
Since there is 39 Students in the Club
Then the Number of Students participated = 39 - 8 = 31 Students
Total Cost = (Cost per Student ) * ( Number of Students )
=$6 * 31 = $186
Glad to Help
for a questionnaire survey of employees of a particular organisation to investigate a range of aspects of their job satisfaction, a researcher invites all 1000 employees to participate and aims for a sample of 200 men and 200 women. what method of sampling is this?
This is an example of stratified random sampling as the population is divided into two groups males and females and 200 samples are selected from each group.
Given that,
A researcher asks all 1000 employees to engage in a questionnaire survey to look at various areas of employee job satisfaction with the goal of selecting a sample of 200 males and 200 women.
A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata
Therefore, the population is separated into two categories, males and females, and 200 samples are chosen from each group in this stratified random sampling example.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point D is at -3, and point E is at 6. The point F lies on segment DE . The ratio of DF to FE is 2 : 3. Where does point F lie on the number line? Point F is at on the number line.
Using the section formula, point F lie on 3/5 in the number line.
In the given question,
On a number line, point D is at -3, and point E is at 6.
The point F lies on segment DE .
The ratio of DF to FE is 2 : 3.
We have to find where point F lie on the number line.
Since point D lies is at -3 at x axis so the point should be ( -3,0).
Point E lies is at 6 at x axis so the point should be ( 6,0).
F lies on segment DE. So let the point of F is (X, Y)
The ratio is 2:3.
Now firstly finding the value of X using section formula
X = [tex]\frac{mx_{2}+nx_{1}}{m+n}[/tex]
where [tex]x_{1}[/tex]= -3, [tex]x_{2}[/tex]= 6, m= 2 and n=3
Now putting the value
X = {2×6+(-3)3}/(2+3)
Simplifying
X = (12-9)/5
X = 3/5
Now firstly finding the value of Y using section formula
Y = [tex]\frac{my_{2}+ny_{1}}{m+n}[/tex]
where [tex]y_{1}[/tex]= 0, [tex]y_{2}[/tex]= 0, m= 2 and n=3
Now putting the value
Y = (2×0+3×0}/(2+3)
Y = 0/5
Y = 0
Hence, point F lie on 3/5 in the number line.
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Please help thanks, Which postulate can be used to prove the two triangles are congruent?
The postulate that can be used to prove the two triangles are congruent is the HL this is the last option
What is HL?HL is an acronym that means Hypotenuse Leg. The Hypotenuse leg theorem is used in proving angle congruency in right angle triangle.
The theorem says that, two angles of a right angle triangle that have equal
hypotenuse andany one legthen two triangles are congruent
The figure in the problem is a right angle triangle that is sharing same hypotenuse hence the hypotenuse is equal. and one other leg is marked to be equal
Therefore, this theorem says that the two triangle are congruent
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dave is making a rectangular garden bed. after assembling it, he finds that the bed has a width of three-fourths of a foot and a length of nine and one-third feet. what is the area of the garden in square feet
The area of the garden is 7 square feet.
Define area.The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions. A rectangle's area (A) is calculated by multiplying its length ('a') by its breadth ('b'). Area of Rectangle is therefore equal to (a× b) square units.
Given,
Width = 3/4
Length = 9 + 1/3
Length = 28/3
Area:
Length × Width
3/4 × 28/3
84/12
7
The area of the garden is 7 square feet.
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What does x equal to??
x is equal to 125° in the triangle
How to determine the value x in the triangle?The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:
x + 25° + 30° = 180°
x + 55° = 180°
x = 180° - 55°
x = 125°
Therefore, the value of x is 125°. So x is equal to 125°
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kara categorized her spending for this month into four categories: rent, food, fun, and other. the amounts she spent in each category are pictured here. rent $500 food $400 fun $300 other $600 [graphs generated by this script: initpicture(-5.5,5.5,-5.5,5.5);circle([0,0],5);line([0,0],[5,0]);line([0,0],[-.868,4.924]);text([1,2],'rent','right');text([1,1],'$500','right');line([0,0],[-5,0]);text([-1,2],'food','left');text([-1,1],'$400','left');line([0,0],[2.5,-4.33]);text([1,-1],'fun','right');text([1,-2],'$300','right');text([-1,-1],'other','left');text([-1,-2],'$600','left');] what percent of her total spending did she spend on fun? answer to the nearest whole percent. %
Answer: is 16.6%
Step-by-step explanation: Use the rule of three (mathematic).
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 8~~)^2 + (~~8 - 2~~)^2} \implies PQ=\sqrt{( -5 )^2 + ( 6 )^2} \\\\\\ PQ=\sqrt{ 25 + 36 } \implies PQ=\sqrt{ 61 }\implies PQ\approx 7.8[/tex]
PLEASE HELP ASAP I NEED TO GET THIS DONE!!
Answer:
B and D
Step-by-step explanation:
A is wrong because x has a negative exponent
C is wrong because x is a denominator
How much of a radioactive kind of zinc will be left after 2 hours if the half-life is 1 hour and
you start with 259,288 grams?
grams
Answer:
64822
Step-by-step explanation:
Half-life model:
[tex]P=P_o* \left(\frac{1}{2}\right)^{\frac{t}{D}}[/tex]
[tex]P_o[/tex] is the initial value, D is the time taken for the quantity to reduce half-life and t is the given time period.
[tex]\sf P_o = 259,288 \ grams\\\\D = 1 \ hour\\\\t = 2 \ hours[/tex]
[tex]P = 259,288*(\frac{1}{2})^\frac{2}{1}\\\\P = 259,288*(\frac{1}{2})^2\\\\P = 259,288*\frac{1}{4}\\\\P = 64822[/tex]
Ben watched 3/8 of his television show. There are still 40 minutes left. How long does the whole program last?
The show is 1 hour 4 minutes long.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Ben watched 3/8 of his television show.
There are still 40 minutes left.
let the show be x long.
So, 3/8x + 40 = x
x- 3/8x= 40
5x/8 = 40
x= 320/5
x= 64 minutes
x= 1 hour 4 minutes
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Solve using proportions: If a 4-pound roast takes 140 minutes to cook, how long should a 5-pound roast take to cook?
Step-by-step explanation:
[tex]4pound \: roast \: = 140 \: minutes \\ 5 \: pounds \: roast \: = {?} \\ then cross multiplication \\ 140 \times 5 \: divide \: by \: 4 \\ 700 \div 4 = 175 \\ 5 \: pound \: roast \: take \: 175 \: minutes[/tex]
In triangle ABC, m angle A=45 degrees. The altitude divides side AB into two parts of 20 and 21 units. Find BC
The 20 and 21 unit leg lengths of the right triangles ΔACD and ΔBCD formed by the altitude CD indicates, by using Pythagorean theorem that the length of BC is 29 units
What is a right triangle?A right triangle is a triangle that has two perpendicular sides. The altitude of a triangle is perpendicular to the base of the triangle, forming two right triangles in acute triangle.
Angle ∠A = 45°
The length of the segment the altitude CD divides AB into = 20 and 21 units
Please find attached a drawing created using MS Word based on the question parameters.
[tex]tan(\angle A) = \dfrac{CD}{AD}[/tex]
AD = 20
Therefore;
[tex]tan(45^{\circ}) = \dfrac{CD}{20}[/tex]
CD = 20 × tan(45) = 20
Pythagorean theorem applied to right triangle ΔCBD, indicates that;
[tex]\overline{BC}^2[/tex] = [tex]\overline{CD}^2[/tex] + [tex]\overline{DB}^2[/tex]
DB = 21 units, which gives;
[tex]\overline{BC}^2[/tex] = 20² + 21² = 841
BC = √(841) = 29
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correct answer gets brainliest!
Answer:
x = 14
Step-by-step explanation:
the inscribed angle JKL is half the measure of its intercepted arc, that is
83 = [tex]\frac{1}{2}[/tex] arc JL = [tex]\frac{1}{2}[/tex](9x + 40) ← multiply both sides by 2 to clear the fraction
166 = 9x + 40 ( subtract 40 from both sides )
126 = 9x ( divide both sides by 9 )
14 = x
Last year, James earned £2,100 per month.
This year, he's had a 6% increase in his monthly pay.
He worked 35 hours per week for 46 weeks in the year.
What is James' average pay per hour this year?
Give your answer to 2 dp.
James average pay per hour is $17.40
How to find James average pay per hour
information given in the problem are
Last year, James earned £2,100 per month
This year, he's had a 6% increase in his monthly pay
35 hours per week for 46 weeks in the year
The question is a percentage problem
6% increase a factor of 1.16
2100 * 1.16 = 2436
number of hours in a month
35 hours = 1 week
? hours = 4 weeks
? = 4 * 35
? = 140 hours in 4 weeks = 1 month
James average pay per hour is gotten form the calculation below
if 140 hours pays 2436 then1 hour will pay ?
140 = 2346
1 = ?
cross multiplying
? * 140 = 2436 * 1
? = 2436 / 140
? = $17.40
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32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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A satellite dish has the shape of a parabola when viewed from the side. the dish is 48 inches wide and 36 inches deep. how far is the receiver from the bottom of the dish if the receiver is placed at the focus?
If the receiver is placed at the focus, it is 4 inches from the bottom of the dish. The result is obtained by using the equation of parabola with the vertex is at (0,0).
What is the equation of a parabola?With the vertex at (0,0), the equation of a parabola can be expressed as
x² = 4ay
Where
x = half of the diameter of parabola a = the y-axis of the focus of parabolay = the depth of parabolaGiven
Diameter of the dish = 48 inchesy = 36 inchesHow far is the receiver from the bottom of the dish if it is placed at the focus?
Suppose that the vertex is at (0,0).
x = 1/2 × diameter
x = 1/2 × 48
x = 24
Now, we got two points (-24, 36) and (24,36). See the picture in the attachment!
By using the x and y value, the value of a is
x² = 4ay
24² = 4a(36)
576 = 144a
a = 576/144
a = 4 inches
Hence, the receiver is placed at 4 inches from the bottom of the dish.
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in the figure, h II o find the value of x and y
Answer:
y = 119
30 =x
Step-by-step explanation:
61 and y are same side interior angles and they add to 180
61+y = 180
y = 180-61
y = 119
y and 6x-61 are vertical angles and they are equal
y = 6x-61
119 = 6x-61
Add 61 to each side
119 + 61 = 6x
180 = 6x
Divide each side by 6
180/6 = x
30 =x
Answer:
y = 119°
x = 30°
Step-by-step explanation:
We know that if two lines are parallel, the co - interior angles are added up to 180°°.
Accordingly,
y + 61 = 180
y = 180 - 61
y = 119°
Also, we know that, vertically opposite angles are equal to each other.
y = 6x - 61
119 = 6x - 61
Now, we have to make x the subject.
For that, first, add 61 for both sides.
119 + 61 = 6x
180 = 6x
Now, divide both sides by 6.
30° = x
if Richard correctly answered 52 questions on an exam that had 65 questions , what percent did he get
The percentage that Richard get is 8%
How to determine the percentage he got?The statement can be interpreted as:
He answered 52 correctly from a total of 65 questions
From the above statement, we have the following parameters
Dividend = 52
Divisor = 65
The percentage is then calculated as
Percentage = Dividend/Divisor x 100%
Substitute the known values in the above equation
So, we have
Percentage = 52/65 x 100%
Evaluate the quotient
Percentage = 0.8x 100%
Evaluate the product
Percentage = 8%
Hence, the percentage is 8%
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