Answers
Using translation concepts, it is found that the parent function graphed in this problem is [tex]y = \sqrt{x}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have only one graph, which has the format of the square root of x, hence the function is:
[tex]y = \sqrt{x}[/tex]
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Related Questions
please answer this question
Answers
Answer:
[tex]a_n=3n-2[/tex]
Step-by-step explanation:
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth term[tex]a[/tex] is the first term[tex]d[/tex] is the common difference between termsCreate expressions for the 4th and 6th terms:
[tex]\implies a_4=a+(4-1)d=a+3d[/tex]
[tex]\implies a_6=a+(6-1)d=a+5d[/tex]
The ratio of the 4th term to the 6th term is 5:8, therefore:
[tex]\implies \dfrac{a_4}{a_6}=\dfrac{5}{8}[/tex]
[tex]\implies \dfrac{a+3d}{a+5d}=\dfrac{5}{8}[/tex]
[tex]\implies 8(a+3d)=5(a+5d)[/tex]
[tex]\implies 8a+24d=5a+25d[/tex]
[tex]\implies 8a-5a=25d-24d[/tex]
[tex]\implies 3a=d \quad \leftarrow \textsf{Equation 1}[/tex]
Sum of the first n terms of an arithmetic series:
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
The sum of the first 7 terms of an arithmetic progression is 70:
[tex]\implies S_7=70[/tex]
[tex]\implies \dfrac{7}{2}[2a+(7-1)d]=70[/tex]
[tex]\implies 2a+6d=20[/tex]
[tex]\implies a+3d=10 \quad \leftarrow \textsf{Equation 2}[/tex]
Substitute Equation 1 into Equation 2 and solve for [tex]a[/tex]:
[tex]\implies a+3(3a)=10[/tex]
[tex]\implies a+9a=10[/tex]
[tex]\implies 10a=10[/tex]
[tex]\implies a=1[/tex]
Substitute found value of [tex]a[/tex] into Equation 1 and solve for [tex]d[/tex]:
[tex]\implies 3(1)=d[/tex]
[tex]\implies d=3[/tex]
Finally, substitute found values of [tex]a[/tex] and [tex]d[/tex] into the general form of the arithmetic sequence:
[tex]\implies a_n=1+(n-1)3[/tex]
[tex]\implies a_n=1+3n-3[/tex]
[tex]\implies a_n=3n-2[/tex]
Use the graph to determine the function’s DOMAIN and RANGE
Answers
Answer:
Domain = x ≥ 0
Range = f( x ) ≥ 1
Step-by-step explanation:
The graph starts from 0 in the x - axis and 1 in the y hence the given domain and range.
Jeff sells shirts at a store in the mall. Which group should he survey to determine which color of shirt will have the greatest number sold?
Female customers
customers who are wearing blue
200 random customers
10 friends at work
Answers
The 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
Jeff sells shirts at a store in the mall.
The selecting the colour of the shirts is subjective.
It also depends on that how many colours that store sell.
Female customers cannot be an option because men also buy shirts and affect the result of the survey.
Customers who are wearing blue data only tells that how many blue shirts sold.
200 random customers. 200 is a sample from a population, so it will give appropriate results about the colour of shirt will have the greatest number sold
Thus, the 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.
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Help me pretty please!
Answers
Answer:
g
Step-by-step explanation:
Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°
34°
64°
46°
Answers
Answer: 56°
Step-by-step explanation:
Which of the following statements is true?
A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome
B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.
C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome
D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome
Answers
Answer:
B
Step-by-step explanation:
first of all articles are perfect and there is . sign at the last of the sentence
At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?
Answers
Answer:
The correct answer is:
P(nuts)=7/9
Step-by-step explanation:
The experimental probability that the next sundae sold will have nuts is
7/9
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting the experimental probability of occurrence of E.
We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.
Therefore,
Probability that the next sundae has nuts is 14/18 = 7/9.
Thus, Probability that the next sundae does not have nuts = 2/9
P(nuts)=7/9
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Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?
Answers
Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,
Number of keychains>(40/2.50)
Number of keychains > 16
Thus, Wyatt needs to sell at least 17 keychains.
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Answer:
Step-by-step explanation:
17
1: solve the following pair of equations simultaneously using the method stated.
a) 2x-3y = 5 and 3x+4y = 6 (elimination method)
b) 4x-y = 9 and 3xy = -6 (substitution method)
c) y=x^2 - 2x and y = 2x -3 (substitution method)
Answers
Answer:
Your answers are below ↓
Step-by-step explanation:
Given ↓
A) 2x-3y = 5 and 3x+4y = 6 ( The method this has to be solved in is the elimination method. )
Now using these,
(1)×3 - (2)×2 = 6x + 9y - 6x - 8y = 15 - 12
therefore,
y = 3
putting the value of y in eqn. (1)
2x + 6 = 5
therefore,
x = -1/2
B) y=x^2 - 2x and y = 2x -3 ( The method this has to be solved in is the substitution method. )
Reduce the greatest common factor on both sides of the equation:
[tex]\left \{ {{4x-y=9} \atop {xy=-2}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-y=9-4x} \atop {xy=-2}} \right.[/tex]
Divide both sides of the equation by the coefficient of the variable:
[tex]\left \{ {{y=-9+4x} \atop {xy=-2}} \right.[/tex]
Substitute the unknown quantity into the elimination:
[tex]x(-9+4x)=-2[/tex]
Apply Multiplication Distribution Law:
[tex]-9x+4x^2=-2[/tex]
Reorder the equation:
[tex]4x^2-9x=-2[/tex]
Divide the equation by the coefficient of the quadratic term:
[tex]\frac{1}{4}(4x^2)+\frac{1}{4}(-9x)=\frac{1}{4}*(-2)\\[/tex]
Calculate:
[tex]x^2-\frac{9x}{4}=-\frac{1}{2}[/tex]
Add one term in order to complete the square:
[tex]x^2-\frac{9x}{4}+(\frac{9}{4}*\frac{1}{2})^2=-\frac{1}{2}+(\frac{9}{4}*\frac{1}{2})^2[/tex]
Calculate:
[tex]x^2-\frac{9x}{4}+(\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]
Factor the expression using [tex]a^2$\pm$2ab+b^2=(a$\pm$b)^2[/tex]:
[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]
Simplify using exponent rule with the same exponent rule: [tex](ab)^n=a^n*b^n[/tex]
[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +\frac{9^2}{8^2}[/tex]
Calculate the power:
[tex](x-\frac{9}{8} )^2=-\frac{1}{2}+\frac{81}{64}[/tex]
Find common denominator and write the numerators above the denominator:
[tex](x-\frac{9}{8} )^2=\frac{-32+81}{64}[/tex]
Calculate the first two terms:
[tex](x-\frac{9}{8} )^2=\frac{49}{64}[/tex]
Rewrite as a system of equations:
[tex]x-\frac{9}{8} =\sqrt{\frac{49}{64} }[/tex] or [tex]x-\frac{9}{8} =-\sqrt{\frac{49}{64} }[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]x=\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:
[tex]x=\frac{\sqrt{49} }{\sqrt{64} } +\frac{9}{8}[/tex]
Factor and rewrite the radicand in exponential form:
[tex]x=\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]
Simplify the radical expression:
[tex]x=\frac{7}{8} +\frac{9}{8}[/tex]
Write the numerators over the common denominator:
[tex]x=\frac{7+9}{8}[/tex]
Calculate the first two terms:
[tex]x=\frac{16}{8}[/tex]
Reduce fraction to the lowest term by canceling the greatest common factor:
[tex]x=2[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]x=-\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]
Rewrite the expression using [tex]\sqrt[n]{a} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:
[tex]x=-\frac{\sqrt{49} }{\sqrt{64} }+\frac{9}{8}[/tex]
Factor and rewrite the radicand in exponential form:
[tex]x=-\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]
Simplify the radical expression:
[tex]x=-\frac{7}{8} +\frac{9}{8}[/tex]
Write the numerators over common denominator:
[tex]x=\frac{-7+9}{8}[/tex]
Calculate the first two terms:
[tex]x=\frac{2}{8}[/tex]
Reduce fraction to the lowest term by canceling the greatest common factor:
[tex]x=\frac{1}{4}[/tex]
Find the union of solutions:
[tex]x=2[/tex] or [tex]x=\frac{1}{4}[/tex]
Substitute the unknown quantity into the elimination:
[tex]y=-9+4*2[/tex]
Calculate the first two terms:
[tex]y=-9+8[/tex]
Calculate the first two terms:
[tex]y=-1[/tex]
Substitute the unknown quantity into the elimination:
[tex]y=-9+4*\frac{1}{4 }[/tex]
Reduce the expression to the lowest term:
[tex]y=-9+1[/tex]
Calculate the first two terms:
[tex]y=-8[/tex]
Write the solution set of equations:
[tex]\left \{ {{x=2} \atop {y=-1}} \right.[/tex] or [tex]\left \{ {{x=\frac{1}{4} } \atop {y=-8}} \right.[/tex] -------> Answer
C) y=x^2 - 2x and y = 2x -3 ( This method this has to be solved in is the substitution method. )
Step 1: We start off by Isolating y in y = 2x - 3
y=2x-3 ----------> ( Simplify )
y+(-y)=2x-3+(-y) ---- > ( Add (-y)on both sides)
0=-3+2x-y
y/1 = 2x-3/1 --------> (Divide through by 1)
y = 2x - 3
We substitute the resulting values of y = 2x - 3 and y = x^2 - 2x
(2 * x - 3) = x^2 - 2x ⇒ 2x -3 = x^2 - 2x ----> ↓
(Substituting 2x - 3 for y in y = x^2 -2x )
Next: Solve (2x - 3 = x^2 - 2x) for x using the quadratic formular method
2x - 3 = x^2 - 2x
x = -b±b^2-4ac/2a Step 1: We use the quadratic formula with ↓
a = -1,b=4,c= - 3
x = -4±(4)^2-4(-1)(-3)/2(-1) Step 2: Substitute the values into the Quadratic Formular
x = -4± 4/ - 2 x = 1 or x = 3 Step 3: Simplify the Expression & Separate Roots
x = 1 or x = 3 ------- ANSWER
Substitute 1 in for x in y = 2x - 3 then solve for y
y = 2x - 3
y = 2 · (1) - 3 (Substituting)
y = -1 (Simplify)
Substitute 3 for in y = 2x - 3 then solve for y
y = 2x - 3
y = 2 · (3) - 3 (Substituting)
y = 3 (Simplify)
Therefore, the final solutions for y = x^2 -2x; y = 2x - 3 are
x₁ = 1, y₁ = -1
x₂ = 3, y₂ = 3
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
35
840
1,680
2,620
Answers
Answer: b=840
Step-by-step explanation:
edge 2022
do good on your tests !!
There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
ⁿPₓ = n! / (n - x)!
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
There is no difference. So, 7 people can be sit in different ways as;
ⁿPₓ = n! / (n - x)!
⁷P₄ = 7! / (7 - 4)!
= 7! / 3!
= 840
So, the correct answer is, 840
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Can someone please just check my answers over to make sure I got them right. Thank you so much!
Let me know if you need a close up on any of the pictures!
Answers
Answer: they are all correct congrats!
Step-by-step explanation:
What is the median of the data represented by the box plot?
Answers
Answer: 20
Step-by-step explanation:
Box plots give us the median just by looking at them. See attached.
1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m
Answers
Answer:
560
Step-by-step explanation:
16 times 5 times 4=320
6 times 16 divide 2 then multiple 5
A triangle has a base of 4 m and a height of 3 m.
What is the area of the triangle?
Enter your answer in the box.
m²
Answers
Answer:
Area of the triangle is 6
Step-by-step explanation:
The formula for the area of a triangle is the base x height / 2. This means we can just plug in the variables and solve
A = b x h/2
A= 4 x 3/2
A= 12/2
A= 6
Answer: 6
Step-by-step explanation:
Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4
Answers
Step-by-step explanation:
this is the answer
hope it help
Find X
A = 49
B = 27
C = 98
D = 76
Answers
Answer:
C=98°
Step-by-step explanation:
125°- 27°
=98°
I really need a help, help help helppp Helpppppp please
Answers
Answer:
I am clueless. Take care though.
Step-by-step explanation:
Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
Answers
[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]
To solve this equation, let's apply the distributive property:-
Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-
[tex]\tt 3x - 3=15 - 20x+8[/tex]
Add 15 and 8 = 23
[tex]\tt 3x - 3=23 - 20x[/tex]
Now, add 20x to both sides:-
[tex]\tt 3x - 3=23 - 20x[/tex]
Combine like terms:-
[tex]\tt 23x-3=23[/tex]
Add 3 to both sides:-
[tex]\tt 23x=23+3[/tex]
[tex] \tt 23x=26[/tex]
Divide both sides by 23:-
[tex]\tt \: x = \dfrac{26}{23} [/tex]
- :)
The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.
Answers
Answer:
3 cm
Step-by-step explanation:
Formula :
Area = 1/2 x Base x HeightGiven :
Area = 7.5 cmBase = 5 cmSolving :
Height = 7.5/5 x 2Height = 3 cmfind tan (0) from sin 0= 7/9
Answers
Step-by-step explanation:
First, use the Pythagorean theorem to find cos x.
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]
[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]
[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]
Now, use the quotient identity
[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]
[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]
[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]
The answer is A
the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are
Answers
Answer:
1, 5, 10, 10, 5, 1
Step-by-step explanation:
The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...
1, 5, 10, 10, 5, 1
__
Algebraically, they are computed using the formula for 5 things taken k at a time:
5!/(k!(5-k)!)
Solve for x. Round to the nearest tenth.
Answers
Answer:
x = 25.84
Step-by-step explanation:
Secx = hyp /adj
Secx = 30/27
x = ArcSec(30/27)
x = 25.84
PLEASE HELP ME
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level a.
n=11, a = 0.01
A r=+0.735
B r=+0.602
C r= 0.765
D r= 0.735
Answers
The reason for why the answer is not “A” is due to the fact that we’re finding all of the possible r values, we are not a evaluating r to see whether or not it is significant.
Answer this volume based Question. I will make uh brainliest + 50 points
Answers
Answer:
[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]
[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]
Step-by-step explanation:
For solid iron sphere:radius (r) = 2 cm (Given)Formula for [tex]V_{sphere} [/tex] is given as:[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex][tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex][tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4xFormula for [tex]V_{cone} [/tex] is given as:[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex][tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex][tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex][tex]\implies 12x^3= \frac{32}{3}[/tex][tex]\implies x^3= \frac{32}{36}[/tex][tex]\implies x^3= \frac{8}{9}[/tex][tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex][tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\because r = 3x [/tex][tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex][tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:[tex]log r = log (2\times \sqrt [3]3)[/tex][tex]log r = log (2\times 3^{\frac{1}{3}})[/tex][tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex][tex]log r = log 2+ \frac{1}{3}log 3[/tex][tex]log r = 0.4600704139[/tex]Taking antilog on both sides, we find:[tex]antilog(log r )= antilog(0.4600704139)[/tex][tex]\implies r = 2.8844991406[/tex][tex]\implies \huge \red{r = 2.88\: cm}[/tex][tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]A bakery had 953 bags of suger a baker used 32 of these bags to make pies how many bags does the bakery stil have?
Answers
Answer: 921 bags
Step-by-step explanation:
We will subtract bags used from the total number of bags.
953 - 32 = 921
The bakery still has 921 bags of sugar.
How can you use a single measure to describe a data set?
Answers
Answer:
There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.
Step-by-step explanation:
A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.
The product of a 25 and a number, increase by 8 is 68. find the number.
Answers
Answer:
2.4
Step-by-step explanation:
set up an equation to find x, the number.
[tex]25x+8=68[/tex]
subtract 8 from both sides
[tex]25x=60[/tex]
divide both sides by 25 to get x (the variable) alone
[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]
4x+3y=6
-4x+2y=14
Solve the system of equations.
A. x= 1/2, y=3
B. x=3, y =1/2
C. x=4, y = -3/2
D. x=-3/2, y = 4
Answers
Answer:
D
Step-by-step explanation:
4x + 3y = 6
-4x + 2y = 14
0 + 5y / 5 = 20/ 5 = 4 = y
4x + 3(4) = 6
4x + 12 - 12 = 6 - 12
4x / 4 = -6 / 4 = -3 / 2 =x
Six people want to share five boxes of raisins. How many boxes of raisins will each person get?
Answers
5/6 or 0.83 boxes of raisins
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
Answers
Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
How to determine the amount of rose petals left?The given parameters are:
Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kgThe amount left is the difference between the amount purchased and the amount used.
So, we have:
Remaining = 0.454 + 0.056 - 0.02 - 0.095
Evaluate
Remaining = 0.395
This means that the remaining amount is 0.395kg, not 0.413 kg
Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
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Answer: she is left with 0.395 kilogram of rose pedals
Step-by-step explanation: she misalinged the first step,
0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395