Answer:
60 above the division line is called the numerator and 8 below the divison line is called the denominator.
We call the line that separates 60 and 8 the division line. It is also known as the fraction bar or vinculum.
60/8 is an improper fraction because the numerator is greater than the denominator.
A mixed number is an integer (whole number) and a proper fraction.
Step-by-step explanation:
Answer: 7/ 1/2
Step 1: Find the whole number
We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
60/8= 7.5 = 7
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (7) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:
60 - (8 x 7) = 4
Step 3: Our mixed fraction
We've now simplified 60/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
7
4
8
Step 4: Simplifying our fraction
In this case, our fraction (4/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 8 is 4.
We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms.
4/4 = 1
8/4 = 2
When we put that together, we can see that our complete answer is:
7
1
2
find the number of distinct permutations of the word "CALCULATOR."
Given:
The word is "CALCULATOR."
To find:
The number of distinct permutations.
Solution:
In the word "CALCULATOR",
The number of letters = 10
In which, we have 2 C, A, L and 1 U, T, O, R.
We know that,
[tex]^nC_r=\dfrac{n!}{(n-r)!}[/tex]
[tex]^nC_n=\dfrac{n!}{(n-n)!}=n![/tex]
To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.
[tex]\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}[/tex]
[tex]\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}[/tex]
[tex]\text{Total ways}=453600[/tex]
Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.
Number of distinct permutation of the word "CALCULATOR." is 453600
How to solve this problem?
permutations of the word "CALCULATOR"Total number of words in "CALCULATOR" is 10
we find out the words that are repeating
A is repeating twice (2)
C is repeating twice (2)
L is repeating twice (2)
Number of permutations = number of letters !/ repeating letters!
Number of distinct permutation =
[tex]\frac{10!}{2!2!2!} \\\frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot2\cdot2} \\453600[/tex]
Number of distinct permutation of the word "CALCULATOR." is 453600
learn more about the distinct permutations here:
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If y varies directly as x, and y=-4 when x=8, find y when x=3
Solve the system of equations
help me show the steps
5x -2y = 88
3x+4y=58
Answer:
x=18
Step-by-step explanation:
add 2y to both sides 5x=2y+88
subtract 88 from both sides 2y=5x-88
substitute 2y in the second equation for 5x-88
3x+10x-176=58
add like terms 13x-176=58
add 176 both sides
13x=234
x=18
Answer:
( 18, -6.5 )
Step-by-step explanation:
First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.
How to solve using Elimination:
5x -2y = 88 (multiply every number in this equation by two)
3x+4y=58
10x -4y = 176
3x+4y=58 (combine these two equations)
13x = 234 (isolate x by dividing by 13 on both sides)
x = 18 (this is your value for x)
3(18) +4y=58 (plug in for x)
54+4y=28 (solve)
4y = -26 (subtract 54 from both sides)
y = -6.5 (this is y)
write answer in (x, y) format
( 18, -6.5 )
HELP I NEED HELP ASAP
Answer:
linear
Step-by-step explanation:
please answer don’t comment if u don’t know
Answer:
the first answer choice
Step-by-step explanation:
if you do 1/3 times -9 its -3
one card from a deck of cards is selected, it is replaced, and another card is chosen. what is the probability that the first card is a red card and the second card is a diamond card?
Answer:
the probability of a red card is 1/2 of 50% chance. The chance of a diamond card is 1/4 or 25% chance
Step-by-step explanation:
Answer as a fraction = 1/8
Answer in decimal form = 0.125
Answer as a percentage = 12.5%
==========================================
Explanation:
The probability of choosing a red card is 1/2 since half of the cards are red (the other half are black).
This card is selected and then put back into the deck. This means that the second selection will deal with the same number of total cards.
Since we have four suits, and one of those suits is diamonds, this means the probability of choosing a diamond card is 1/4.
We then multiply the fractions to get (1/2)*(1/4) = (1*1)/(2*4) = 1/8
The probability of getting a red card first, then a diamond card second, is 1/8
Use your calculator to find that 1/8 = 0.125 which converts to the percent form 12.5%
In the figure, line m
|| line n.
х
m
740
What is the measure of angle x?
O A. 940
O B. 74°
O C. 100°
D. 106°
94 is the correct answer I believe
During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free trows did she make?
Answer:
She made 10 free throws
Step-by-step explination:
I found it on this website: https://staff.4j.lane.edu/~ruzicka/Cal_Young/math/Illustrative%20Math/Unit%203%20Rates%20and%20Percents/Lesson%2011/L11%20HW%20Key%20Corrected.pdf
Try it and see if you are right
Can someone Please help me with this ??
What is the answer to 3m + 4m + 6m + 5m
Answer: 18m
Step-by-step explanation:
2. (11.01 MC)
Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
108 strips
I
144 strips
180 strips
120 strips
Answer:
120strip
Step-by-step explanation:
Kathleen correctly answers 85% of the total questions on a math question correctly answer 17 questions use proportions to find the total number of questions on Kathleen's math quiz
Answer:
I am don't know sorry
Step-by-step explanation:
sorry follow me
my school bag contains 9 books each mass 2/9 kg and 5 folder each mass 7/25 kg what is the total mass of books and folders in my bag
How many 1/3 yard are in 4 yards
Answer:
12
Step-by-step explanation:
Answer:
Thats confusing
Step-by-step explanation:
Hm I would prob say 2/3 or 4/3 I dont know i'm not smart
-⅕ (10-5+25x)
Please help!
Answer:
-[tex]-\frac{1}{5} * (5+25x)\\-\frac{1}{5} *5-\frac{1}{5}(25x)\\-1-\frac{1}{5}(25x)\\-1 -1 (5x)\\01-5x[/tex]
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which values of m make 1/4 m > 3 true ?
Answer:
m > 12
Step-by-step explanation:
I) Find what m is in 1/4m = 3:
1/4m = 3
Divide by 1/4:
m = 12
II) Make an inequality:
m > 12
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X be the value of a random spin. The distribution of X is given in the table.
A 2-column table with 5 rows. Column 1 is labeled value of a spin with entries
0, .4
1, 0.2
2, 0.2
5, 0.1
10, 0.1
What is the standard deviation of the distribution?
3.01
3.61
9.09
13.04
Answer:
its 3.01
Step-by-step explanation:
Right on edge
The standard deviation is 2.08.
What is Standard Deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
We have the data,
X : 0 1 2 5 10
P(X) : 0.4 0.2 0.2 0.1 0.1
CF : 0.4 0.6 0.8 0.9 1
Sum of fx = 2.5
Mean = 2.5
Deviation X = -2.1 -2.3 -2.1 -2 -1.5
X² = 4.41 5.29 4.41 4 2.25
fX² = 1.764 1.058 0.882 0.4 2.225
Now, standard deviation
= √4.329/1
= 2.08
Learn more about standard deviation here:
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The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices
Answer:
( -5, -3)
Step-by-step explanation:
Sully has a loan which he repays every month. If the loan amount includes interest, his loan amount due, in dollars, after t years, is shown by the following expression.
7,000(0.90)^12t
Which statement below best describes the coefficient, 7,000?
A. The number of times sully repaid the loan since he began making payments
B. Sully’s initial loan amount
C. The decrease in Sully’s loan amount every month
D. The rate at which Sully repays the loan
i would say its B. The initial loan amount
Answer:
Sully's initial loan amount
edit: i accidently rated my answer as 1 star but i promise its right
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
Answer:
(4x + 22) feet
Step-by-step explanation:
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
A patio deck = Rectangular in shape
Hence:
The formula for the Perimeter of a rectangle = 2L + 2W
Where
L = Length
W = Width
The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.
The perimeter of the deck =
2(x + 8)feet + 2(x + 3)feet
= (2x + 16) feet +( 2x + 6)feet
= (2x + 2x + 16 + 6) feet
= (4x + 22) feet
Therefore, the perimeter of the deck = (4x + 22) feet
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
A
Step-by-step explanation:
(f*g)(x)=(2)*(x)=2x
A
Complete to get an equivalent fraction:
5/4 = _____/20
Answer:25
Step-by-step explanation:
Simply multiply by five on both the 5 and 4 and you get an equivalent fraction
Answer:
25/20
Step-by-step explanation:
I set up a proportion and to find the how 4 goes to 20, I divided 20/4 to get 5 and then I multiplied 5*5 to get 25.
You can also cross multiply.
What is the slope of this line?
Answer:
A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .
A line is decreasing if it goes down from left to right. The slope is negative, i.e. m < 0 {\displaystyle m<0} .
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
what is y + 20 < 180? please help me
Answer:
y < 160
Step-by-step explanation:
y + 20 < 180
-20 < -20
y < 160
y is less than 160
so the answer is y < 160
happy to help!
I NEED HELPPP
-2 x -3 =?
Step-by-step explanation: -2 x -3 = 6 cause the negatives cancel out to make 6.
Answer:
ok, lol it's 6
Step-by-step explanation:
hope it helps! it basically doing 2 x 3 which equals 6 sometimes you'll add the negative sign but in this equation u dont need to
Angle 6 and 7 are examples of which type of angle pair
Answer:
vertical angles?
Step-by-step explanation:
An employee saved 25% of her $400 paycheck. How much money did she save?
Answer:
she had save 100 dallors
k^2 - 196 = 0
.....................................................
Answer:
Step-by-step explanation:
Add 196 to both sides, then take the square root
[tex]k^2=196\\[/tex]
k = ±14
Can someone help me please!!!
Answer:
Step-by-step explanation:
(0,8)(8,0)
find slope
m=-1
b=8
y=-x+8
Answer:
y= -1x+8
Step-by-step explanation:
slope is -1/1 and your y intercept is (0,8)