Answer:
a) [tex]2\frac{3}{4}[/tex] = 2.75
b) [tex]4\frac{2}{3} [/tex]= 4.6666...
Step-by-step explanation:
We are given 3 digits: 2,3,4
A terminating decimal is a decimal which stops after some decimal or ends.
a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]
decimal expansion = 2.75
It can be clearly seen that the decimal expansion stopped after two decimal places.
b) Mixed fraction = Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]
Decimal expansion = 4.666666...
It can be clearly seen that the decimal expansion is non terminating and does not stop.
Emerson struck out 112 times in 350 at-bats
Emerson struck out 32% of the time.
112 out of 350 can be laid out as: 112/350
Multiply both the Denominator and the Numerator by 100:
112/350 × 100/100 = 32/100 = 32%
I hope this help answer your question!
The subject of this question is Mathematics. Emerson's strikeout rate is 32%.
Explanation:The subject of this question is Mathematics as we are dealing with numerical data. We are given that Emerson struck out 112 times in 350 at-bats.
To find the strikeout rate, we divide the number of strikeouts by the number of at-bats and multiply by 100 to get a percentage. So, the strikeout rate would be (112/350) * 100 = 32%.
Therefore, Emerson's strikeout rate is 32%.
I have no clue what to do
Simplify square root of 40 divided by 3
Teresa graphs the following 33 equations: y=2x, y=x2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?
she is correct because the graph of y=2^2 will surpass the other 2 lines on the graph.
Teresa is correct as the graph of the exponential function y=2^x increases more rapidly than those of the linear and quadratic functions when x becomes large. Thus, y=2^x will eventually surpass the other graphs.
Explanation:Teresa's statement that the graph of y=2^x will eventually surpass the other graphs of y=2x, y=x^2+2, and y=2x^2 is correct. This is because the graph of an exponential function such as y=2^x increases more rapidly than the graphs of linear or quadratic functions when the value of x becomes large.
For example, plotting data pairs for each of these equations, we would see that as x increases, the value of y for y=2^x will eventually be greater than the y-values for the other functions. While y=2x and y=x^2+2 will also increase with larger x, the growth rate is not as extreme as for the exponential function y=2^x.
To further illustrate, for very large values of x, the quadratic function y=2x^2 increases slower than the exponential function y=2^x. Therefore, understanding the characteristics of linear, quadratic, and exponential functions is essential in interpreting these graphs correctly.
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If each cake takes 2 1/2 cups of flour how many cups of flour are needed for 9 cakes?
The answer is 22 1/2
At an auto repair shop, 14 of the 56 cars received oil changes, What percent of the cars received oil changes?
Hello Belleoberry2005, I am here to answer your question.
Here we do a simple rule of 3, like this: 14*100/56, and that gives us 25.
So the answer is: 25%
Hope this helped answer your question.
To calculate the percentage of cars that received oil changes at an auto repair shop, divide the number of cars with oil changes (14) by the total number of cars (56) and multiply by 100 to get 25%.
The student asks how to calculate the percentage of cars that received oil changes at an auto repair shop. To find the percentage, divide the number of cars that received an oil change by the total number of cars and then multiply by 100. There were 14 out of 56 cars that received oil changes.
Here is the step-by-step calculation:
Divide the number of cars that received oil changes (14) by the total number of cars (56). 14 \/ 56 = 0.25.Multiply the result by 100 to get the percentage. 0.25 * 100 = 25%.So, 25% of the cars received oil changes.
A bouquet had 10 flowers and sold $90,which is a rate of $_ per flower
$9.00 per flower 90÷10=9
Jay has $25 to spend at a comic book store. If he buys a collectors guide for &12, what is the greatest number of individual comics he can by at $2 each?
After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.
Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:
$25 - $12 = $13 remaining
Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:
$13 / $2 = 6.5
Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.
Please answer ASAP very quickly in advance (...)
.,
5 purple 8 red 4 blue
the distance between two points A (x1,y2) and B(x2,y2) is d=
Answer
Step-by-step explanation:
36+36+36+36+36 ps i know this but this is way easyer
Answer,
180-Laura :-)
Answer:
180
Step-by-step explanation:
There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning
Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.
Step-by-step explanation:
Since we have given that
The scale on the first map is
[tex]1\ cm:10\ km[/tex]
That means
[tex]1\ cm=10\ km[/tex]
Distance from Cleveland to Clncinnati = 40 cm
So,
[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]
Similarly, Scale on the second map is given by
[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]
So, our 400 km in second map will be
[tex]\frac{400}{50}\ km=8\ km[/tex]
Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.
How should I write this as an equation and how is the answer 1:15 am?
Alright, so the equation we have here is 22.75x+32=128.69
Now we just solve
-32 on both sides, we get
22.75x=96.69
divide by 22.75 on both sides we get
x=4.2501989
So 4 hours
You add the 4.25 hours
10, 11, 12, 1 is the hour
And .25 is a fourth, and a fourth of 60 minutes is 15 minutes
So he left at 1:15 pm
Solve for g. g/20 ≤5
[tex]\frac{g}{20}[/tex]≤5
Multiplying by 20 in all sides gives:
g≤(20×5)
Answer: g≤100
Use long division to convert the rational number 1/8 to its equivalent decimal form.
Answer:
1/8 = 0.125 I hope this helps! Please give me brainiest!
Step-by-step explanation:
0.125
8/1.000
- 8
20
-16
40
-40
0
A small leak is causing a swimming pool to lose 12 gal of water/h.
What is the change in the amount of water in 4 h?
A. −4 gal
B. −2 gal
C. 2 gal
D. 4 gal
None of your answers make sense.
After 1 hour, you lose 12 gallons
After 2 hours, 24
After 3 hours, 36
After 4 hours, 48 gallons.
The answer would be -48 but that's not a choice given.
HELP ME PLEASE !!!!!!!!!!15 POINTS
Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
A.9.465 milliliters
B. 94.625 milliliters
C. 9,462.5 milliliters
D. 94,625 milliliter
C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5
Answer:
c
Step-by-step explanation:
Mr. Sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?
Answer:
The integer that represents the average decrease in value per year will be 1800.
Step-by-step explanation:
Suppose, the average decrease in value per year is [tex]x[/tex] dollar.
So, the amount of decrease in three years will be: [tex]3x[/tex] dollar.
Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......
[tex]3x=5400\\ \\ x=\frac{5400}{3}=1800[/tex]
Thus, the integer that represents the average decrease in value per year will be 1800.
What is 4x - 2 > 12? thanks!
Here is your equation:
[tex]4x-2>12[/tex]
You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.
Add 2 to both sides:
[tex]4x-2+2>12+2 \\4x>14[/tex]
You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.
Divide by 4 on both sides:
[tex]4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}[/tex]
The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:
[tex]\frac{14 \div 2}{4 \div 2} = \frac{7}{2}[/tex]
New Inequality:
[tex]x>\frac{7}{4}[/tex]
That means your answer is x > [tex]\bf \frac{7}{2}[/tex]
If you have any questions, feel free to ask in the comments! :)
PLEASe answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
each vertical line is 1 unit.
Place dots on the 3rd, 9th and 16th line to the right of the line at 0
Count from 0 to the right 3 units then plot the point 3
From 3 count to the rights 6 more and plot the point 9
From 9, continue to count to the right 9 more and plot the last point 18
it cost $24 to rent a bike for a 5 hours how many hours of bike use does a customer get per dollar
$4.08 dollars per hour
The requried, customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.
To determine how many hours of bike use a customer gets per dollar, we need to divide the total number of hours by the cost in dollars.
In this case, the cost is $24 for 5 hours of bike use.
Hours per dollar = Total hours / Cost in dollars
Hours per dollar = 5 hours / $24
To find the value, we can calculate the division:
Hours per dollar = 5 / 24 ≈ 0.2083
Therefore, a customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.
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The mean score on a driving exam for a group of driver's education students is 80 points, with a standard deviation of 3 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results.
Applying Chebyshev's theorem with a mean of 80 and a standard deviation of 3 to k=2, we find that at least 75% of exam scores should fall between 74 and 86 points.
Explanation:Chebyshev's Theorem states that at least [tex]1 − 1/k^2[/tex](where 'k' is any real number greater than 1) of data from a sample will fall within 'k' standard deviations from the mean. Given that the mean score on the driving test is 80 points and the standard deviation is 3 points, we apply Chebyshev's theorem with k=2 (2 standard deviations from the mean).
Now let's do the calculations. The formula for Chebyshev’s Theorem is [tex]1 – 1/k^2[/tex], so that gives us[tex]1 - 1/2^2 = 1[/tex] - 1/4 = 0.75 or 75%.
Also, to find the range within which 75% of the results will fall, we use the mean and standard deviation, which gives us 'mean ± k standard deviations' => 80 ± 2*3 => [74, 86].
In conclusion, Chebyshev's theorem predicts that at least 75% of the scores on the driving test should be between 74 and 86 points.
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if Pedro were 7.5 cm taller he would be twice as tall as Ian. Ian is 74.25 cm tall so how tall is Pedro?
after a picnic 5/12 of the cornbread is leftover. val eats 4/5 of the leftover cornbread what fraction of the cornbread does val eat. answer in simplest form
5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right
To find the fraction of cornbread that Val eats, we multiply the fraction of leftover cornbread by the fraction that Val eats.
Explanation:To find the fraction of the cornbread that Val eats, we first need to find the fraction of cornbread that is leftover after the picnic. The question tells us that 5/12 of the cornbread is leftover. Next, we need to find the fraction of the leftover cornbread that Val eats. The question states that Val eats 4/5 of the leftover cornbread. To find the final fraction, we multiply the two fractions together: 5/12 * 4/5 = (5 * 4) / (12 * 5) = 20 / 60. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 20, resulting in 1/3. Therefore, Val eats 1/3 of the cornbread.
A 13 Ft ladder is leaning up against a building, with the base of the ladder 2 feet from the building. How high up on the building will the top of the ladder reach?
Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse
base=2 feet
hypotenuse(ladder)=13 ft
We need to find the altitude,
By applying pythagoras theorem,
base square+altitude square=hypotenuse square
Take altitude as x
2 square+x square=13 square
4+x square=169
x square=169-4
x square=165
x= root of 165
x=12.8 feet(approx.)
Find the difference (10j-7)-(-9j+2)
To solve this problem all you need to do is to combine like terms. Like terms are terms with the same variables (for ex. 4x and 6x, 3y and 9y) and powers (for ex. e^2 and x^2).
Start by writing out the entire problem to be well organized and make it easier to see if you were to do this with pen and paper.
(10j - 7) - (-9j + 2)
Distribute the negative sign into everything inside of the parentheses on the right hand side. Rewrite the problem again (preferably after every step to make it easier to catch a mistake you made if you were to double check your work).
(10j - 7) + 9j - 2
Finish off this problem by combining like terms. Add 10j and 9j together, and also add -7 and -2 together. Your final answer should look like this:
19j - 9
How many square numbers are there between 1,000 and 2,000? What is a square number?
there are 12 square numbers between 1,000 and 2,000.
starts off at 32 bc 32^2=1024
ends at 44 bc 44^2=1936
A square number is the product of an integer multiplied by itself. There are 13 square numbers between 1,000 and 2,000, which are found by squaring all whole numbers from 32 to 44.
To determine how many square numbers are between 1,000 and 2,000, we must first understand what a square number is. A square number, sometimes called a perfect square, is an integer that is the square of an integer. In other words, it's the product of an integer multiplied by itself. For example, 10² is a square number because it equals 100, which is 10 times 10.
To find the square numbers in the given range, we need to find the square roots of 1,000 and 2,000 and then count the whole numbers between them. The square root of 1,000 is approximately 31.62, and the square root of 2,000 is approximately 44.72. Since we are looking for whole numbers, the first possible square number would be 32² and the last one would be 44². By squaring all the whole numbers from 32 to 44, we can list the square numbers within the range.
Next, we list the squares of these numbers:
32² = 102433² = 108934² = 1156...44² = 1936By counting all the squares from 32² to 44², we find that there are 13 square numbers between 1,000 and 2,000.
Please help easy stuff.......
To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.
So, for the first function, you have
[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]
The name of the variable is obviously irrelelvant, so the same goes for the second function:
[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]
T(-4) = -(-4) - 2
-(-4) - 2 = 2
what number should be added to 17 to make the sum 0
you need to add -17 to 17 to get 0
17+x=0
x=-17
Answer:
The number would be –17.
Step-by-step explanation:
Hope this helps! :)
A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and large tables that seats 10 people Let x represent the number of small tables and y represents the number of large tables write an equation to represent the relationship between x and y
For the small tables, it will be 6X, because since they fit 6 people, you will need to multiply 6 times the amount of tables(which is X), then for the larger table, it will be 10Y, because since they fit 10 people, you will multiply 10 times the amount of tables (which is Y).
This leaves you with 6X+10Y
If they are expecting AT LEAST 150, then the equation needs to be set to greater than or equal to 150, but if they are expecting exactly 150, no more no less, then the equation will be set equal to 150.
Therefore it is either:
A: 6X+10Y>or=150
B:6X+10Y=150
Final answer:
The relationship between the number of small tables (x) and large tables (y) needed to seat 150 people can be described by the equation 6x + 10y = 150, where 6x represents the number of guests at small tables and 10y represents the number of guests at large tables.
Explanation:
The student's question deals with creating an equation to describe the relationship between the number of small tables seating 6 people and the large tables seating 10 people required to accommodate 150 guests at a wedding. To solve this, you can write an equation based on the total seating capacity that needs to be provided by both types of tables.
The total number of people that can be seated at small tables is represented by 6x, and the total number of people that can be seated at large tables is represented by 10y. Since we know that the total number of guests is 150, the relationship between x and y can be represented by the following equation:
6x + 10y = 150
This equation states that the total number of guests (150) is equal to the sum of guests seated at small tables (6x) and the guests seated at large tables (10y).