Answer:
1/5
Step-by-step explanation:
First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.
To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.
Hopefully that's helpful! If you have any further questions, let me know. :)
The quotient of given fractions is 1/5.
Given that, 5/50 divided by 15/30.
What are fractions?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Now, 5/50 ÷ 15/30
Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10
That is, 5/50 × 30/15
= 1/10 × 2/1
= 2/10
= 1/5
Therefore, the quotient of given fractions is 1/5.
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can someone pleasw helppppppp meee
Answer:
D. Modes are 2, 5, and 6
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..
how many times as large is the 4 in the tenthousands place as the 4 in the ones place
When a guy says he cheated just to let the world know what does he mean?
help i dont know what this means
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
12+26x=64
Step-by-step explanation:
64-12=52
52/2=26
$26 per pass
equation 12+26x=64
x=2 in this case x is representing the number of passes
12 is the ticket
and 64 is total cost
please help ill mark brainliestO
Answer:
8 cm
Step-by-step explanation:
According to the condition,
[tex]\dfrac{PQ}{RS} = \dfrac{QT}{ST}\\\\\implies \dfrac{9}{3} = \dfrac{QT}{4}\\\\ \implies 3 =\dfrac{QT}{4}\\\\\implies QT = 3 \times 4 = 12~ \text{cm}\\\\\text{Hence}~ QS =QT - ST = 12 -4 = 8~ \text{cm}[/tex]
7x+6-2x=12x-7+2
Solve for x
Answer:
x = 11/7
Step-by-step explanation:
[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]
Which expression is equivalent to squareroot 100?
A10
B10^2
C50
D50^2
Answer:
10^2=100
because all u would do is put down 10 two times and then u just multiply those 2 numbers
Step-by-step explanation:
Convert the decimal or whole number to a percent. 1.15 3/8
Answer:
11.5% and 3.75%
Step-by-step explanation:
since 1.15 is greater than 1, we assume that its taken out of 10
therefore its percent will be 1.15/10*100=11.5%
as for 3/8 (0.375) its less than 1, so we assume its taken out of 1, therefore 0.375/1*100=3.75%
Which equation results from adding the equations in this system?
-8x+8y=8
3x-8y=-18
Answer:
-5x=-10
Step-by-step explanation:
Adding both equations will result in this
Help me with this ice cream problem lol.
Answer:
A is correct
Step-by-step explanation:
Simplify completely
(192x^12/3x^3)^1/3
Show all work for full credit
Answer and Explanation: The answer and explanation is in the image.
Consider the following function.
f(x) = 1 + 5/x - 4/x2
(a) Find the vertical asymptote(s).
(b) Find the interval where the function is increasing.
Find the interval where the function is decreasing.
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up.
Find the interval where the function is concave down.
Find the inflection point.
(e) Use the information from parts (a)-(d) to sketch the graph of f.
Answer:
See below
Step-by-step explanation:
I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]
A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.
B) Set the first derivative equal to 0 and solve:
[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]
[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]
[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]
[tex]0=-5x+8[/tex]
[tex]5x=8[/tex]
[tex]x=\frac{8}{5}[/tex]
Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:
[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]
[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]
Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].
C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.
D) Now set the second derivative equal to 0 and solve:
[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]
[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]
[tex]0=10x-24[/tex]
[tex]-10x=-24[/tex]
[tex]x=\frac{24}{10}[/tex]
[tex]x=\frac{12}{5}[/tex]
We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:
[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]
[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]
The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].
E) See attached graph
ayden evaluated the expression a ÷ (2 + 1.5) for a = 14. He said that the value of the expression was 8.5. Select all the statements that are true.
Jayden's solution is incorrect.
Jayden added inside the parentheses before dividing.
Jayden substituted the wrong value for a.
Jayden divided 14 by 2 and then added 1.5.
Jayden added inside the parentheses before multiplying.
Answer:
Jayden's solution is incorrect.
Jayden divided 14 by 2 and then added 1.5
Jayden substituted the wrong value for a.
Suppose that in a certain state, all automobile license plates have four letters of the 26 English alphabet letters followed by three digits from 0,1,2,3,4,5,6,7,8,9. For example, WCRY-122. How many license plates are possible that begins with A and ends with 1 with NO repetition
Answer:
[tex]993,\!600[/tex].
Step-by-step explanation:
There is one way to choose the first character (has to be an [tex]\verb!A![/tex].)
There is one way to choose the last character (has to be a [tex]\verb!1![/tex].)
Since repetition among the letters is not allowed and the letter [tex]\verb!A![/tex] was already reserved for the first character, there would be [tex](26 - 1) = 25[/tex] English alphabet letters available for the second character.
Likewise, with the first and second characters chosen, the third character could be chosen from [tex](26 - 2) = 24[/tex] letters. There would be [tex](26 - 3) = 23[/tex] choices for the fourth letter.
Repetition of the digits is not allowed, either. With the digit [tex]\verb!1![/tex] already reserved for the last character, there would be [tex](10 - 1) = 9[/tex] ways to choose the fifth character (a digit.) There would then be [tex](10 - 2) = 8[/tex] ways to choose the sixth character (also a digit.)
Overall, the number of unique combinations would be:
[tex]\begin{aligned}& 1 \times 1 \times (25 \times 24 \times 23) \times (9 \times 8) \\ =& \; 993,\!600 \end{aligned}[/tex].
Do it on a piece of paper and put it in the answer box ASAP
Step-by-step explanation:
absolutely. there is no mathematical problem to solve.
just do what the instructions tell you.
that is an exercise for you to get a feeling what is what.
Solve the equation for the variable 49-2/3x=32-1/6x
Answer:
No Solutions
Step-by-step explanation:
I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.
Therefore, x has no solutions.
Answer:
Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5
Step-by-step explanation:
Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
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Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?
SELECT ALL CORRECT ANSWERS
Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift
Answer:
Step-by-step explanation:
g(x) = -2f(x)
Vertical stretch by virtue of the factor 2
Reflection over the x-axis by virtue of the factor -1
The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.
To transform the function f(x)=12ˣ into the function g(x)=−2(12)ˣ
Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.
The absolute value of the multiplier indicates the degree of compression/stretch.
The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).
Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.
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Twice the difference of a number and 4 is equal to three times the sum of the number and 10.
Answer:
2(x-4)=3(x+10)
Step-by-step explanation:
❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️
Answer: a
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
x =1 if understood it correctly
Step-by-step explanation:
(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.
Answer:
See below for answer
Step-by-step explanation:
Set up the equation 5x+7x+9x=2100 and solve for x:
5x+7x+9x=2100
21x=2100
x=100
Now multiply the proportion by 100:
5:7:9 * 100 = 500:700:900
This means that Antony will get $500, Terry will get $700, and Jack will get $900.
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
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Are 3:5and 1:2 equivalent
Answer:
No. They are not equivalent.
Step-by-step explanation:
[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]
=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]
Therefore, 3/5 and 1/2 are not equivalent.
Hoped this helped.
Answer:
yes
Step-by-step explanation:
they are equivalent
Please help me solve this question I'm stuck on
The answer to the question is
D) ($9. 60, $9. 84)
factor and solve the zeros for the following x^2+10x-75=0
If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?
Answer:
The the relationship is linear
Step-by-step explanation:
If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.
Here is the list of numbers.
5
11
16
24
29
From the list, write down a multiple of 3.
Plz write down the answer.
Answer:
From the list the multiple of 3 is 24
7 2/5= 2/3x -4 1/2 plz helpp
Answer:
3 :)
Step-by-step explanation: