Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
26+58=84
Rounded=80
How do you describe the graph of the solution set of a quadratic inequality?
A quadratic inequality of the form
y>a[tex]x^{2}[/tex]+bx+c
(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .
A quadratic inequality of the form
y>a[tex]x^{2}[/tex]+bx+c
(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .
To graph a quadratic inequality, start by graphing the parabola. Then fill in the region either above or below it, depending on the inequality.
If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.
Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.
Example:
Graph the quadratic inequality.
y≤[tex]x^{2}[/tex]−x−12
The related equation is:
y=[tex]x^{2}[/tex]−x−12
First we notice that a , the coefficient of the x2 term, is equal to 1 . Since a is positive, the parabola points upward.
The right side can be factored as:
y=(x+3)(x−4)
So the parabola has x -intercepts at −3 and 4 . The vertex must lie midway between these, so the x -coordinate of the vertex is 0.5 .
Plugging in this x -value, we get:
y=(0.5+3)(0.5−4)
y=(3.5)(−3.5)
y=−12.25
So, the vertex is at (0.5,−12.25) .
We now have enough information to graph the parabola. Remember to graph it with a solid line, since the inequality is "less than or equal to".
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Please help me quick it is geometry
Complete the equation with values that will result in infinitely many solutions. 7x+2(x+5)=
The equation with values that will result in infinitely many solutions is 7x + 2(x + 5) = 7x + 2(x + 6)
How to complete the equation?From the question, we have the following parameters that can be used in our computation:
7x+2(x+5)=
Rewrite properly
So, we have
7x + 2(x + 5) =
For the equation to have infinitely many solutions, then the variable part must be the same, while the constant part must be different
So, we have
7x + 2(x + 5) = 7x + 2(x + k)
By comparison, we have
k = 5
This means that the value of k can be any real number except 5
So, we can make use of 7x + 2(x + 5) = 7x + 2(x + 6)
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Who invented 0 number?
There are several hypotheses regarding how 0 was created. The idea of utilising 0 as a numeric value is thought to have originated in India. According to legend, Aryabhatta invented zero by using it as a placeholder number in the fifth century.
However, the idea of zero was not always present. Although the idea of nothingness or emptiness existed, applying it numerically had a profound effect on mathematics. The principles for zero were laid forth by Brahmagupta in the seventh century.
In America, the Mayans developed the idea of zero as a placeholder in the 4th century. But though being skilled in mathematics, they never thought the idea of using it in equations.
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FOR 100 POINTS AND BRAINLIEST HURRTRRRRYYY
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
Drag and drop a value into the box to correctly complete the statement
answer choices-
-18.5
-9.9
-4.9
-4.3
The previous water level is -9.9 feet. The correct option is B.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.
The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression. They can also denote the operation order and other properties of the logical syntax.
Given that after a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
The previous water level is calculated as,
1/2 ( x + 2.5 ) = -3.7
x + 2.5 = -7.4
x = -7.4 - 2.5
x = -9.9
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Step-by-step explanation:
Let's solve this problem step by step. The current water level is -3.7 feet, which is 1/2 times 2.5 feet more than the previous water level. Let's call the previous water level "x".
So, we can write an equation to represent this relationship:
-3.7 = x + (1/2) * 2.5
Now, let's solve for x:
-3.7 = x + 1.25
x = -3.7 - 1.25
x = -4.95
So, the previous water level was **-4.95 feet**.
Out of the answer choices you provided, the closest value to the correct answer is **-4.9**.
PLEASE MARK AS BRAINLIEST
How many years would it take a 6000$ loan at 5% to earn 12000$ in interest?
Answer: 15 years
Step-by-step explanation:
6000 x 1.05^x = 12000
1.05^x=2
log(1.05^x)=log(2)(Take log of both sides)
x*(log(1.05))=log(2)
x= log(2)
log(1.05)
x=14.206699
15 years
foci at (39,0) and (-39,0) and a constant difference of 30
The equation of the ellipse with foci at (39,0) and (-39,0) and a constant difference of 30 is given as follows:
x²/39² + y²/9² = 1.
How to obtain the equation of the elipse?The equation of an ellipse of center (h,k) is given by the rule presented as follows:
(x - h)²/a² + (y - k)²/b² = 1.
In which:
a is the distance from the center to the focus.b is the distance from the center to the vertex.The coordinates of the foci are given as follows:
(39,0) and (-39,0).
The center is the midpoint of these two coordinates, hence:
h = (39 - 39)/2 = 0.k = (0 + 0)/2 = 0.The coefficient a is given as follows:
a = |39 - 0| = |0 - 39| = 0.
Considering the constant difference of 30, the constant b is given as follows:
b = a - 30 = 39 - 30 = 9.
Thus the equation of the ellipse is given as follows:
x²/39² + y²/9² = 1.
Missing InformationThe problem asks for the equation of the ellipse with the given features.
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which of the following would be an example of a function with a range (-infinity a] and a domain [b,infinity) where a > 0 and b > 0
Answer:
f(x)= √(x-a) +b
Step-by-step explanation:
parent function is y=√x. This has a domain and range of [0, ∞). The question asks what function transformations will move the domain to [a, ∞) and the range to [b, ∞).
Function transformations
To move the domain from [0, ∞) to [a, ∞) requires the function be translated 'a' units to the right. That transformation is accomplished by replacing x with (x-a) in the function definition.
To move the range from [0, ∞) to [b, ∞) requires the function be translated upward by 'b' units. This is accomplished by adding 'b' to every function value.
The net effect of these transformations is ...
f(x) = √x ⇒ f(x) = √(x -a) +b
(x-2)^2+(y+2)^2=4 please help!
Answer:
this answer can't be solved because there are two variables we need at least value of at least one variable
Answer:
y/x=2-x/y+2
Step-by-step explanation:
What is the meaning of AAA theorem?
If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.
How to prove AAA Theorem?
Specifying three angles A, B, and C does not uniquely define a triangle, but any two triangles with the same angles are similar. Specifying two angles of a triangle automatically gives the third since the sum of angles in a triangle sums to 180 degrees (pi radians), i.e.,
C = π - A - B .
Prove:
Triangles ABC and DEF such that ∠A = ∠D; ∠B = ∠E; ∠C = ∠F
Δ ABC ~ ΔDEF
Construction : We mark point P on the line DE and Q on the line DF such that AB = DP and AC = DQ, we join PQ.
There are three cases :
Case ( i ) : AB = DE, thus P coincides with E.
⇒ AB = DE, BC = EF and AC = DF
Consequently, Q coincides with F.
AB BC CA
---- = ------ = ------
DE EF FA
Since the corresponding angles are equal, we conclude that Δ ABC ~ Δ DEF.
Case( ii ) : AB < DE. Then P lies in DE
In triangles ABC and DPQ,
Statements ------ Reasons
1) AB = DP- 1) By construction
2) ∠A = ∠D -2) Given
3) AC = DQ -3) By construction
4) ΔABC ≅ ΔDPQ -4) By SAS postulate
5) ∠B = ∠DPQ 5) CPCTC
6) ∠B = ∠E- 6) Given
7) ∠E = ∠DPQ- 7) By transitive property
( from above)
8) PQ || EF -8) If two corresponding angles are congruent then the lines are parallel
9) DP/DE = DQ/DF -9) By basic proportionality theorem
10) AB/DE = BC/EF- 10) By construction
11) AB/DE = AC/DF- 11) By substitution property
12) Δ ABC ~ Δ DEF - 12) By SAS postulate
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What is the formula of inverse proportion?
Inverse proportion is expressed by the equation x y = k or x = k/y. As a result, you can utilize the known values to get the constant k's value before applying this formula to determine all the other values.
Define the term inverse proportion?A statement describing the relationship between two variables or variables is known as a percentage. Such variables can be either directly proportional or inversely proportional, and both types are possible.It is inversely proportionate if one rises while the other falls.Inverse Proportional Method Solutions
Method 1: X1 Y1 = X2 Y2 is an inverse proportion.As one pair is always given, we may employ the equation to discover the unknown terms and so solve the problem.
Method 2: We also know that the equation x + y = k turns x = k/y in an inverse proportion. Therefore, with the aid of the aforementioned, we may use the absolute values to identify the unknown ones in order to determine the value of proportionality constant k.To know more about the inverse proportion, here
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What does ∆ mean in math?
Answer:
As far as I know, in math, Δ means:
triangledelta (slope)Examples:
ΔABC ≅ ΔDEF
"triangle ABC is congruent to triangle DEF"Δ = [tex]\frac{1}{2}[/tex]
"delta equals 1 over 2"Delta is another word for "slope""the slope equals 1 over 2"Raul works at a movie theatre. The function f(x) represents the amount of money in dollars Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works.
f(x) = 3x2 + 16
g(x) = the square root of five times x cubed
Find f(g(x)).
The required function obtained after solving f(g(x)) will be equal to 15x³ + 16. Hence, option C is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the functions given in the question,
f(x) = 3x² + 16
g(x) = √5x³
Now, find the function f(g(x)).
f(g(x)) = f(√5x³), [g(x) = √5x³]
f(g(x)) = 3( √5x³)² + 16 [f(x) = 3x² + 16]
So,
f(g(x)) = 3(5x³) + 16
f(g(x)) = 15x³ + 16
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Answer:
f(g(x)) = 15x^3 + 16 dollars / hour
I answered the quiz and it's correct
(x^3 − 18x + 8) divided by
(x − 4).
Answer:
x^2 + 4x - 2
Step-by-step explanation:
x - 4 = 0
x = 4
Use synthetic division:
4 | 1 0 -18 8 ==> 1=x^3, 0=0x^2, -18=-18x
+4 +16 -8
1 4 -2, 0 ==> x^2 + 4x - 2 with no remainder
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What is null set in math grade 7?
A null set is a set that contains no elements in mathematics, that is it is empty. It is also called empty set or void set.
It is denoted by the Greek letter Ф (phi). It is expressed as {}.
A null set is formed by intersection of two disjoint sets. For example, a set of odd numbers, say A = {1, 3, 5, ...} and set of even numbers say B = {0, 2, 4, ...}. A set of number of both odd and even is a null set as these sets A and B doesnt have any element in common, that is they are disjoint set.
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19.Give the journal entries to rectify the following errors using suspense account, where necessary. i. Rs 3,000 received from a customer as an advance against order was credited to sales account. ii. A sum of Rs 800 written-off as depreciation on machinery, were not posted to depreciation account. iii. Purchase of a scooter was debited to conveyance account Rs 16,000. Firm charges 10% depreciation on vehicles. iv. Payment of Rs 500 to Mohan and Rs 600 to Sohan was made but Mohan was debited with Rs 600 and Sohan with Rs 500. v. Sales to X Rs 500 were posted to Y ’s account
Answer:
Step-by-step explanation:
To rectify the errors using a suspense account, the following journal entries can be made:
i. Rs 3,000 received from a customer as an advance against order was credited to sales account.
To correct this error, we can make the following journal entry:
Debit Suspense Account 3,000
Credit Sales Account 3,000
ii. A sum of Rs 800 written-off as depreciation on machinery, were not posted to depreciation account.
To correct this error, we can make the following journal entry:
Debit Depreciation Account 800
Credit Suspense Account 800
iii. Purchase of a scooter was debited to conveyance account Rs 16,000. Firm charges 10% depreciation on vehicles.
To correct this error, we can make the following journal entries:
Debit Suspense Account 1,600
Credit Conveyance Account 1,600
Debit Depreciation Account 1,600
Credit Suspense Account 1,600
iv. Payment of Rs 500 to Mohan and Rs 600 to Sohan was made but Mohan was debited with Rs 600 and Sohan with Rs 500.
To correct this error, we can make the following journal entries:
Debit Suspense Account 100
Credit Mohan 600
Debit Sohan 500
Credit Suspense Account 100
v. Sales to X Rs 500 were posted to Y’s account
To correct this error, we can make the following journal entries:
Debit Y 500
Credit Suspense Account 500
Debit Suspense Account 500
Credit X 500
What is the probability that a 3 will be drawn out of a deck of 52 cards?
Answer:
1/13
Step-by-step explanation:
There are 4 cards that are a "3" in a deck of cards
3 of hearts, 3 of spades, 3 of clubs, 3 of diamonds
P( 3) = number of cards that are a "3" / total number of cards
P(3) = 4/52 = 1/13
Answer:
[tex]\frac{1}{13}[/tex] (one thirteenth)
1/13
Step-by-step explanation:
There's 4 of the card 3 in a deck. (3 of hearts, 3 of diamonds, 3 of clubs, 3 of spades.)
This means 4 of 52 cards are a 3, which makes the fraction [tex]\frac{4}{52}[/tex]. This is the probability.
This fraction can be simplified to [tex]\frac{1}{13}[/tex] by dividing the top and bottom by four. This is the final answer, since it is in the simplest form.
How do you find the domain step by step?
Using the provided function and finding the values of input for which it will provide valid output values we can find the domain.
What is the difference between domain an range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Can a function's domain and range be the same?Yes. For instance, the set of all real numbers is the domain and range of the cube root function.
Choose the input values.
Exclude any real numbers that produce a negative value in the radicand because there is an even root. Solve for x by setting the radicand to be greater than or equal to zero.
The domain of the function is the solution(s). If at all possible, format your response as an interval.
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What is the solution of simultaneous equations 5x 3y 8 and 3x Y 2?
The solution of simultaneous equations 5x-3y=8 and 3x+Y=2 is (1,-1)
A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
The given equations are:
5x-3y=8 ------(1)
3x+y=2 -------(2)
By solving the equations we get the points
Multiply equation(1) by 3 and equation (2) by 5 then we get
15x-9y=24
15x+5y=10
By solving the above equations we get x and y values.
-14y=14
y=-1
substitute y=-1 in equation(1) we get x value.
5x-3(-1)=8
5x=5
x=1
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What do Total Productive Maintenance (TPM) practices ensure? Select an answer: O equipment availability is minimized
O machines do not break down so often O scheduled maintenance is not necessary O equipment downtime is maximized
Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized
What is Total Productive Maintenance?According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.
Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.
Therefore, the correct option is D.
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A truck can be rented from Company A for $100 a day plus $0.30 per mile. Company B charges $20 a day plus $0.80 per mile to rent the same truck. Find the number of
miles in a day at which the rental costs for Company A and Company B are the same.
At miles, the rental costs are the same from either company.
After covering a distance of 160-mile rental cost of both company will become same.
How to solve inequalities?Mathematical expressions with the symbols >,<, ≥ and ≤ are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. Inequalities are resolved using graphs and algebra. It is imperative that you practice the techniques described here a lot so they become second nature if you want to master them.
An inequality still exists if the same amount is added to both sides. The inequality still holds true if the same amount is subtracted from each side. An inequality still holds true if both sides are multiplied or divided by the same positive value. However, if both sides of an inequality are multiplied or divided by a negative value, the inequality is no longer valid. In actuality, the inequity is turned around.
Solving according to ques,
Let us represent distance covered be X miles.
$100+($0.30) X = $20 + ($0.80) X
subtracting $20 and ($0.30) X from both sides, we get
$80 = ($0.50) X
X = 160 mile.
So, rental costs for company will be same when bot the trucks will cover a distance of 160 mile.
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A bottle contains 7 8 of a pitcher of water. A cup can hold 3 16 of a pitcher of water. Eve wants to pour all the water from the bottle into some cups. How many cups does Eve need?
Answer:
at least 5
Step-by-step explanation:
You want to know the number of cups needed to contain 7/8 pitcher of water when each cup holds 3/16 pitcher.
CupsThe number of cups can be found by dividing the water quantity by the amount each cup holds:
(7/8 pitcher)/(3/16 pitcher/cup) = 14/3 cups = 4 2/3 cups
Eve needs at least 5 cups to hold the amount of water in the bottle.
__
Additional comment
If every cup is filled to capacity, then the 5th cup will be 2/3 full. The number of cups can be any number greater than or equal to 5.
If you want, you can write an inequality relating the capacity of the cups to the amount of water:
n(3/16) ≥ 7/8
n ≥ 4 2/3 . . . . . . . . . where n is a counting number
n ∈ {5, 6, 7, ...}
This more clearly shows that the number is not restricted to 5.
What does 1 mean in an array?
1 Indexed means that the array elements are numbered starting at 0.
What is array?
Array can be defined as a collection of elements of the same type placed in contiguous memory locations that can be individually referenced by using an index to a unique identifier also An array is a user defined data type consisting of an ordered set of elements of a single data type
Therefore add 1 to the array suppose an array contain elements of 1, 2, 3, 4 then the array represents decimal number 1234 and hence adding 1 to this would result 1235.
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What direction is negative infinity?
Negative infinity is an abstract concept used to describe a value that is lower than any other real number. It is not a direction, but rather an idea of an unlimited amount of negative numbers.
Negative infinity is an abstract concept used to describe a value that is lower than any other real number. It is not a direction, but rather an idea of an unlimited amount of negative numbers. Although it does not have a physical direction, it can be thought of as a direction that is always negative and decreasing without bound. This concept is often used in mathematics to compare values and calculate limits. For example, when graphing a function, negative infinity is often used as the lower bound on the x-axis. Negative infinity is also used to describe the behavior of certain equations when a variable approaches a certain value or when a denominator approaches zero. In these cases, the equation would approach negative infinity. Negative infinity is not a real number and cannot be used in calculations, but it can be used to compare values and describe the behavior of certain equations.
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Please help me solve this word problem? How should I set up my equation ?
Out of 82, 58 tickets were sold to students and 24 tickets were sold to the adults for the musical.
How to solve an equation for x?
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
According to the given question:
Let the tickets sold to students be x.
Since total number of sold tickets are 82, the number of tickets sold to families will be 82 - x (that is 82 minus number of tickets sold to students)
Cost for one ticket for students is $3
So, the amount after selling tickets to students = 3x ---- 1)
Similarly, cost of one ticket for an adult is $5
Hence the amount after selling tickets to adults = 5(82 - x) ----- 2)
Total sales from selling tickets is $294
From equation 1) and 2)
3x + 5(82 - x) = 294
Solving for the value of x
3x + 410 - 5x = 294
2x = 410 - 294
2x = 116
x = 58
Therefore, out of 82, 58 tickets were sold to students and (82 - 58) = 24 tickets were sold to adults.
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Calculate the Expected Value for Sell Company Probability Sell Company Form Joint Venture Sell Software on own Success 0.3 102.0 210 420 Moderate Success 0.3 102.0 120 208.0 Failure 0.4 102.0 10.0 100
The probability is 102.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Moderate Success 0.3 102.0 120 208.0
Failure 0.4 102.0 10.0 100
Now, the probability
E(x) = [tex]\sum^3_i[/tex]= [tex]S_iP_i[/tex]
= 102 x 0.3 + 102 x 0.3 + 102 x 0.4
= 30.6 + 30.6 + 40.8
= 102
Hence, the probability is 102.
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How do you find the maximum value of vertex form?
The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = − x² + 2x − 5
Convert the equation into a vertex form. Then we have
y = − x² + 2x − 5
y = − x² + 2x − 1 − 4
y = − (x² − 2x + 1) − 4
y = − (x − 1)² − 4
The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.
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The complete question is given below.
How do you find the maximum value of vertex form?
y = − x² + 2x − 5?
What is simple meter?
Tool dividing beats into two, three or four parts is called a simple meter.
A simple meter is a tool in music which divides beats into a number of two, three or four parts. A simple meter is of three types :
1. Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).
2. Triple - a meter which helps to divide beats into 3(i.e. into three parts)
3. Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).
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Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).
Triple - a meter which helps to divide beats into 3(i.e. into three parts)
Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).
In a group of 200 children 35 are allergic to peanuts . What percentage of children are allergic to peanuts?
The percentage of children allergic to peanuts is 17.5%
What are percentages?The term 'per cent' means 'out of a hundred'. In mathematics, percentages are used like fractions and decimals, as ways to describe parts of a whole. When you are using percentages, the whole is considered to be made up of a hundred equal parts.
Given here, 200 children out of which 35 are allergic thus in percentage terms we have (35/200)×100 =17.5%
Hence, The percentage of children allergic to peanuts is 17.5%
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Solve 2x²-8=0
A. X = 4
B. X = 2
C. x = 4, -4
D.x = 2, -2
Answer:
D. x=2, -2
Step-by-step explanation:
I think you're asking for the correct answer to the problem because all of the values for x won't work for the equation.
So all we have to do is simplify the equation to isolate x.
[tex]2x^2-8=0[/tex] (original problem)
[tex]2x^2=8[/tex] (add 8 to both sides)
[tex]x^2=4[/tex] (divide both sides by 2)
[tex]x=2, x=-2[/tex] (find the square root of both sides)
Note that x = ±2 and note just 2 because both [tex]2^2[/tex] and [tex](-2)^2[/tex] [tex]=4[/tex].
Hope this helped :D