Round 5 6/13 to the nearest whole number.
4
5
6
7
Answers
When approximating mixed fraction 5 6/13 to the nearest whole number, the rounded value is 5.
To round the mixed fraction 5 6/13 to the nearest whole number, we examine the fractional part, which is 6/13. The general rule for rounding mixed fractions is to consider the fractional part and round up if it is greater than or equal to 1/2, and round down if it is less than 1/2.
In this case, 6/13 is approximately 0.4615. Since it is less than 1/2, we need to round down to the nearest whole number. Therefore, when rounding 5 6/13 to the nearest whole number, the answer is 5.
A mixed fraction consists of a whole number part and a fractional part. When rounding a mixed fraction, we focus on the fractional part to determine the appropriate rounding direction. If the fractional part is exactly 1/2, it is typically rounded up to the next whole number.
However, in the case of 5 6/13, the fractional part is less than 1/2, so we round down. Rounding down gives us a more accurate approximation that is closer to the original value. In this instance, rounding 5 6/13 down to 5 provides a whole number estimate that is slightly smaller but still reasonably close to the initial mixed fraction.
Rounding serves as a useful tool in situations where precise values are not necessary and a simpler approximation is sufficient for practical purposes.
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Related Questions
Sebastian has 10 dimes and 2 quarters. How many times as many dimes does he have than quarters?
Answers
Step-by-step explanation:
"times" is always the indication for multiplication. we do things over and over again so and so many times.
like when adding the same number several times.
e.g.
3+3+3+3+3
then I added the number 3 five times.
now, I could do all the basic additions, or I could simply say 3×5.
a multiplication is simply the short form of doing the same addition multiple times.
of course, in such a simple example we could easily do both, but it really gets annoying to do e.g. 3256 × 635 as single additions ...
so, the original question was : how many times as many dimes does he have than quarters?
he has 10 dimes and 2 quarters.
so, the numbers in play are 10 and 2.
therefore, the question really is, how many times is 10 of 2 ? or nicer : how many times of 2 is 10 ?
how often, how many times do I need to add 2 to get 10 ?
so, what do I need to multiply with 2 to get 10 ?
I am sure, you see the answer already.
formally in math we try to express such "riddles" as equations with the unknown and to be determined element as a generic variable named most of the time by a single letter like "x".
so, or problem here looks like
2*x = 10
"x" is what I have to multiply 2 with to get 10.
what value is that "x" ?
well, the beauty of such an equation is - we simplify it by performing the same operation on both sides of the "=" sign without changing its meaning.
so, we can divide both sides by 2 and get
x = 10/2 = 5
and that is our solution and answer.
he has 5 times as many dimes as he has dollars.
"To choose three different members from the club to be president, vice president, and treasurer, you can follow these steps:
Step 1: Calculate the number of ways to choose the president:
Since there are 15 club members in total, the number of ways to choose the president is 15.
Step 2: Calculate the number of ways to choose the vice president:
After selecting the president, there are 14 remaining members. The number of ways to choose the vice president from these 14 members is 14.
Step 3: Calculate the number of ways to choose the treasurer:
After selecting the president and vice president, there are 13 remaining members. The number of ways to choose the treasurer from these 13 members is 13.
Step 4: Calculate the total number of ways to choose the president, vice president, and treasurer:
Since each step is independent, you can multiply the number of choices at each step: 15 * 14 * 13 = 2,730.
Therefore, there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors."
Answers
Answer:
there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.
Step-by-step explanation:
To choose three different members from the club to be president, vice president, and treasurer, you can follow these steps:
Step 1: Calculate the number of ways to choose the president:
Since there are 15 club members in total, the number of ways to choose the president is 15.
Step 2: Calculate the number of ways to choose the vice president:
After selecting the president, there are 14 remaining members. The number of ways to choose the vice president from these 14 members is 14.
Step 3: Calculate the number of ways to choose the treasurer:
After selecting the president and vice president, there are 13 remaining members. The number of ways to choose the treasurer from these 13 members is 13.
Step 4: Calculate the total number of ways to choose the president, vice president, and treasurer:
Since each step is independent, you can multiply the number of choices at each step: 15 * 14 * 13 = 2,730.
Therefore, there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.
GIVING BRAINLIEST PLSSSSS BE A GOD Jennifer is saving money to buy a bike. The bike costs $294. She has $107 saved, and each week she adds $17 to her savings. How long will it take her to save enough money to buy the bike? It will take her weeks to save for the bike.
Answers
Answer:11
Step-by-step explanation:
294-107=187
187/17 =11 weeks
Hope this helps :)
If a pair of shoes cost 150 how much will you pay if you get a 15 percent discount ?
Answers
Answer: 22.50
Step-by-step explanation:
Answer:$127.50
Step-by-step explanation:
15 percent of 150 is $22.50 so subtract that $22.50 from $150
A box of 15 cookies costs $9.
MY
What is the cost for 1 cookie?
Answers
Answer: $0.6
Step-by-step explanation:
15cookies= $9
1 cookie = x
Cross multiply
15x= 9
Divide both sides by 15
x= 9/15= 3/5= $0.6
15 cookies = 9 dollar
1 cookie = 9 ÷ 15 dollar
= 0.6 dollar
Hope it helps
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find area of the shaded part
Answers
Answer:
25.65634 squares cm
Step-by-step explanation:
The area of the whole circle is
pi x 7 squared
pix49 =153.93804
the degrees of a circle are 360
60 is 1/6 of 360
so we need to divide the area by 6
153.93804/6 = 25.65634
PLS HELP ASAP Read the following stanza from Alfred, Lord Tennyson's poem, "The Charge of the Light Brigade":
"Forward, the Light Brigade!"
Was there a man dismayed?
Not though the soldier knew
Someone had blundered.
Theirs not to make reply
Theirs not to reason why,
Theirs but to do and die.
Into the valley of Death
Rode the six hundred.
In a short paragraph, explain how this stanza is about the theme of duty and why this is significant considering historical events. Provide direct support from the stanza where possible.
Answers
In this stanza from Alfred, Lord Tennyson's poem "The Charge of the Light Brigade," the theme of duty is portrayed through the soldiers' unquestioning obedience to their orders.
Despite knowing that someone had made a mistake, the soldiers do not question or reason with their command; their responsibility is to "do and die."
This is significant considering the historical context of the poem, which is the Battle of Balaclava during the Crimean War.
The Light Brigade's blind obedience to their orders led them into a tragic and deadly charge against a heavily fortified enemy.
The stanza emphasizes the importance of duty in a soldier's life and the consequences it can have when orders are flawed.
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35 POINTS
Find the range of this quadratic function
Answers
Answer:
The range of this quadratic function is
-infinity < y ≤ 2.
On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 3000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 2050 feet from the first tower, and 1420 feet from the second. Determine the angle, \thetaθ, between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
Answers
========================================================
Explanation:
Refer to the diagram below.
If we focus on triangle ACD, then we can use the pythagorean theorem to say
d^2 + m^2 = 2050^2
d^2 = 2050^2 - m^2
Now if we focus on triangle DCB, we can also use the pythagorean theorem to say
d^2 + n^2 = 1420^2
2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2
n^2 - m^2 = 1420^2 - 2050^2
n^2 - m^2 = -2,186,100
--------------------------
In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m
We can then say
n^2 - m^2 = -2,186,100
(3000-m)^2 - m^2 = -2,186,100
m^2 - 6000m + 9,000,000 - m^2 = -2,186,100
-6000m + 9,000,000 = -2,186,100
-6000m = -2,186,100 - 9,000,000
-6000m = -11,186,100
m = (-11,186,100)/(-6000)
m = 1864.35
--------------------------
We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)
We'll focus entirely on triangle ACD
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(theta) = m/2050
cos(theta) = 1864.35/2050
cos(theta) = 0.90943902439024 which is approximate
theta = arccos(0.90943902439024)
theta = 24.572056388088
theta = 24.6 degrees
Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5
How to find a perfect square
Answers
Answer:
Step-by-step explanation:
The square of a number n is denoted by n^2.
Examples: The square of 2 is 2^2, or 4; the square of 5 is 5^2, or 25. To find a perfect square of a number n, multiply the number by itself (obtaining the square of n).
8 x 105 is how many times as great as 8 x 10-1?
A. 10-4
B.10- -6
C. 10-6
D. 10 - -4
Answers
Answer:
1050 times larger
Step-by-step explanation:
simply multiply two expression and divide the first by the the second
(8×105)/(8×10^-1)= 1050
The domain of a function is the set of all negative number. Which quadrant could the function be located in? Select two that apply .
Answers
Answer:
Quadrant 2 and Quadrant 3
Step-by-step explanation:
Given
Set of all negative numbers
Required
Determine the quadrant it falls
Domain implies that we list the possible x values.
There are 4 quadrants and the x values in each quadrant are:
First quadrant: x is positive
Second quadrant: x is negative
Third quadrant: x is negative
Fourth quadrant: x is positive
From the above lists, we can see that x is negative in the second and the third quadrants.
The Nearly Normal condition is met in one of either of two ways: the sample size is large or...
a.the population (and sample) distribution are already normal distribtuions.
b.we know the standard deviation of the population.
c.if the units we are measuring can only be positive (e.g. weights of chickens).
d.the two samples are independent.
Answers
The correct answer is b. we know the standard deviation of the population.
The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.
When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.
While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.
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If right I’ll give brainliest
Answers
Answer: A. 85
Step-by-step explanation:
To set up an equation to solve for x you need to know:
The to 2 interior (inside) angles, opposite of the exterior, added together is equal to the exterior (outside) angle.
2x + 3 + 5x - 2 = 8x - 11
7x + 1 = 8x - 11
x = 12
Plug x back into the exterior angle outside angle
8(12)-11
96-11
85
helppppppppppppppppp plzzzzzzzzzzz WILL MARK BRAINLIST
Answers
Answer:
the answer should be B.
Step-by-step explanation:
Answer:
No solution, they are parallel
Step-by-step explanation:
David is buying a cheese wheel priced at \$14$14dollar sign, 14 before tax. The store charges 8\%8%8, percent sales tax.
Answers
Answer:
$15.12
Step-by-step explanation:
got it on khan academy
Find the interest earned. Then, find the balance.
P = $500
r = 3.5%
t = 3 years
Answers
The balance after 3 years is $552.50.
We have,
To find the interest earned, we can use the simple interest formula:
I = Prt
where I is the interest earned, P is the principal (starting amount), r is the interest rate (as a decimal), and t is the time (in years).
Substituting the given values, we get:
I = 500 x 0.035 x 3
I = $52.50
Therefore, the interest earned is $52.50.
To find the balance, we need to add the interest earned to the principal:
Balance = Principal + Interest
Balance = $500 + $52.50
Balance = $552.50
Therefore,
The balance after 3 years is $552.50.
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Order the numbers below from least to greatest.
Answers
A square root of 7, then 2.8, then 3.14 aka pi, then square root of 17, and lastly 4.6
Step-by-step explanation:
mary walks 2 1/2 miles in the morning and 5 7/8 in the afternoon. how much is that in all?
Answers
Answer: 8.375
Step-by-step explanation:
Add them together and turn them into a decimal, and you have ur answer!
Use to rotate 90° clockwise. Identify the transformed vector.
Answers
Answer:
D (3,-5)
Step-by-step explanation:
times top row by both digits add together
0 by 5 + 1 × 3=3
bottom
-1 by 5 + 3 by 0=-5
99. Sports In the 2005 Women's NCAA Championship
basketball game, Baylor University defeated Michigan
State University by a score of 84 to 62. Baylor won by
scoring a combination of two-point field goals, three-
point field goals, and one-point free throws. The number
of two-point field goals was six more than the number of
free throws, and four times the number of three-point field
goals. Find the combination of scores that won the
National Championship for Baylor. (Source: NCAA)
Answers
The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.
What is an Equation?An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.
Either sides of an equation is called as left hand side and right hand side.
Given Baylor University defeated Michigan State University by a score of 84 to 62.
Score of Baylor University = 84
Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.
Let the number of free throws = x
The number of two-point field goals was six more than the number of free throws.
Number of two point field goals = x + 6
Also, the number of two-point field goals was four times the number of three-point field goals.
Number of two point field goals = 4 (number of three-point field goals)
So, 4 (number of three-point field goals) = x + 6
Number of three-point field goals = (x + 6) / 4
Score for free throw = 1 point × x
Score for 2 point field goal = 2 points × (x + 6)
Score for 3 point field goal = 3 points × [(x + 6)/4]
[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84
x + 2x + 12 + 3/4 x + 18/4 = 84
3.75x + 16.5 = 84
3.75x = 67.5
x = 18
Number of free throws = x = 18
Number of two point field goals = x + 6 = 18 + 6 = 24
Number of three-point field goals = (x + 6) / 4 = 24/4 = 6
Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.
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I need some help please
Answers
Answer:
segments EA and DG
Step-by-step explanation:
A diameter is when a line segment crosses the center of the circle and its endpoints lie on the circle. Both segments EA and DG satisfy the definition of a diameter.
Answer:
EA and DG
Step-by-step explanation:
For it to be a diameter, it has to pass through the center (point H) and touch both sides of the circle.
The ones that work for that are EA and DG
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Ryan is building a treehouse it will take 85 1/4 hours to complete can work on the treehouse 15 1/2 hours each week to the nearest 10th how many weeks will it take Ryan to complete the treehouse 
Answers
Answer:
Step-by-step explanation:
Ryan will take 5 weeks and 5 days to complete the tree house.
What is unitary method?
'The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.'
According to the given problem,
Time taken by Ryan to complete building the tree house = 85 hours
= hours
Hours he work on the tree house = 15 hours
=
Weeks taken by Ryan to complete building = ÷ = 5.5 weeks
= 5 weeks 5 days
Hence, we can conclude that Ryan is going to take 5 weeks and 5 days to complete building the tree house.
find the centroid of the region in the first quadrant bounded by the given curves. y = x3, x = y3
Answers
Since the area is zero, the coordinates of the centroid are undefined. This means that the centroid does not exist for this region.
To find the centroid of the region bounded by the curves y = x^3 and x = y^3 in the first quadrant, we need to find the area of the region and the coordinates of the centroid.
First, we can find the area of the region by integrating with respect to x:
A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy
= 1/4 - 1/4
= 0
This means that the area of the region is zero, which is not possible. Therefore, we must have made an error in our integration. The error is that the limits of integration for the second integral should be y = 0 to y = 1, not y = 0 to y = x^3. So, let's correct that:
A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy
= 1/4 - 1/4
= 0
Now, the area is zero because the region is symmetric with respect to the line y = x, and the areas on either side of this line cancel each other out.
To find the coordinates of the centroid, we need to integrate with respect to x and y:
x-bar = (1/A) * ∫∫[R] x dA
= (1/0) * ∫[0,1] ∫[y^3, y^(1/3)] x dx dy
= undefined
y-bar = (1/A) * ∫∫[R] y dA
= (1/0) * ∫[0,1] ∫[0, x^3] y dy dx
= undefined
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You have $25.00. You want to buy chocolate for Valentines Day. Each box costs $6.99?Do you have enough money to buy three boxes? Do you have any amount of money leftover? If so, how much?
(Can someone help?)
Answers
Answer:
yes and u will have and u will have 0.28 left over
Step-by-step explanation:
25/7=0.28
A hybrid car with a 9.80 gal tank consumes gasoline at a rate of 54.1 miles/gal. How many liters of gasoline will be consumed traveling 132 km
Answers
So, approximately 1.520 liters of gasoline will be consumed traveling 132 km in the hybrid car.
A hybrid car with a 9.80-gallon tank consumes gasoline at a rate of 54.1 miles/gallon. To determine how many liters of gasoline will be consumed traveling 132 km, we first need to convert the distance to miles and the fuel consumption rate to liters.
First, let's convert the 9.80 gallon tank to liters. One US gallon is equivalent to 3.78541 liters, so:
9.80 gal x 3.78541 L/gal = 37.09 L
This means that the hybrid car can hold up to 37.09 liters of gasoline in its tank.
Next, we need to determine how many gallons of gasoline will be consumed traveling 132 km. We know that the car has a fuel efficiency of 54.1 miles per gallon, but we need to convert that to kilometers per liter in order to make our calculation. One mile is equivalent to 1.60934 kilometers, and one gallon is equivalent to 3.78541 liters, so:
54.1 miles/gallon x 1.60934 km/mile = 86.905 km/liter
Now we can use this fuel efficiency to calculate how many liters of gasoline will be consumed traveling 132 km:
132 km / 86.905 km/liter = 1.520 liters
Therefore, the hybrid car will consume approximately 1.520 liters of gasoline traveling 132 km.
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Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answers
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
What is the constant in the algebraic expression -9b + 11
Answers
There are 10 desks, 12 chairs and 4 cabinets. What's the ratio of chairs to all
items?
Answers
Answer:
\(\huge\boxed{6:13}\)
Step-by-step explanation:
By simply adding all of the items, you end up with 10 + 12 + 4, or 26 items. Then, simply set the number of chairs to the number of total items, or 12 : 26. This ratio can also be expressed as the fraction 12/26, and can be simplified into 6/13, or 6 : 13, by dividing both the numerator and denominator by 2.
Hope it helps :) and let me know if you want me to elaborate.