To convert the decimal 0.63 to a fraction, write it as 63/100, and simplify if possible. Since 63 and 100 do not have a common divisor larger than 1, the fraction is already in its simplest form, which is 63/100.
Explanation:The question involves converting a decimal to a fraction in simplest form. To convert the decimal 0.63 into a fraction, you can write it as 63/100 because there are two digits after the decimal point, which equates to the hundredth place. To simplify the fraction, you look for the greatest common divisor (GCD) of both the numerator and the denominator. In this case, both 63 and 100 can be divided by the GCD which is 1. Thus, the fraction is already in its simplest form and the answer is 63/100.
The decimal 0.63 written as a fraction in simplest form is 63/100, which cannot be reduced further since 63 and 100 share no common factors other than 1.
Explanation:The numerator and denominator of the fraction in simplest form that is equal to the decimal 0.63 can be found by moving the decimal point two places to the right. This gives us the fraction 63/100 which can be simplified to 9/15 by dividing both the numerator and denominator by the greatest common factor, which is 9. To convert the decimal 0.63 into a fraction in simplest form, you can start by writing it as ⅓ over 100, since the last digit is in the hundredths place. This gives you the fraction 63/100. However, the question asks for the simplest form, so you should reduce the fraction by finding the greatest common factor of the numerator and denominator.
The greatest common factor of 63 and 100 is 1, so 63/100 cannot be reduced any further - it is already in its simplest form. Thus, the answer is simply ⅓ over 100 or 63/100.
|6 3/8-2|+|-8 5/8+(-1)|
To answer the question, we evaluated two absolute value expressions individually by converting mixed numbers to improper fractions, performing the operations, and taking absolute values. The sum of these evaluations is 14.
The question involves evaluating two absolute value expressions and adding the results. We will work through each expression step by step.
First Expression
|6 3/8 - 2|
To solve this, convert the mixed number to an improper fraction, subtract 2, and then find the absolute value.
Convert 6 3/8 to an improper fraction: (6 × 8) + 3 = 51/8.
Subtract 2 (written as 16/8) from 51/8: 51/8 - 16/8 = 35/8.
The absolute value of 35/8 is 35/8, as it is already positive.
Second Expression
|-8 5/8 + (-1)|
Similar approach: convert to an improper fraction, add -1, and find the absolute value.
Convert -8 5/8 to an improper fraction: (-8 × 8) - 5 = -69/8.
Add -1 (written as -8/8) to -69/8: -69/8 - 8/8 = -77/8.
The absolute value of -77/8 is 77/8, as we discard the negative sign in absolute value operations.
Add the results of both expressions: 35/8 + 77/8 = 112/8 = 14.
For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Step-by-step explanation:
We have to write the given problem mathematically to solve it
So,
[tex]4(5x-8) = 2(4-x)+4[/tex]
First of all, distributive property will be applied
[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x[/tex]
We have to isolate the variable on one side of the equation
Adding 2x on both sides of equation
[tex]20x-32+2x = 12-2x+2x\\22x-32 = 12[/tex]
Addition property of equality with 32
[tex]22x-32+32 = 12+32\\22x = 44[/tex]
Division Property of Equality (22)
[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]
Hence,
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Keywords: Linear equation, variables
Learn more about linear equations at:
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The value of Peter's house has risen 30% a year for the last 3 years. If the value of Peter's home 3 years ago was $120,000.00, what is the value now? A. $156,000.00 B. $228,000.00 C. $202,800.00 D. $263,640.00
Step-by-step explanation:
The price has gone up by 30% each year so each year it is 130% compared to last year. that means a price rate of 1.3^n, with n as number of years gone by. In this case n=3 so 1.3^3=2.197. $120,000.00×2.197=$263,640.00, which is D
Are 8÷2 and 2÷8 equivalent
No they are not.
8÷2=4
2÷8=0.25
A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 8 N. The second vector is pointing right, labeled F Subscript t Baseline = 6 N. The third vector is pointing upward, labeled F Subscript N Baseline = 8 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 4 N. The up and down vectors are the same length. The right vector is longer than the left vector. Which describes what happens to the bone? It begins to move toward the right. It stays in static equilibrium. It stays in dynamic equilibrium. It begins to move toward the left.
Answer:
It begins to move toward the rightExplanation:
The given information can be summarized in this way:
First force vector: Fg = - 8N (vertical down)Second force vector: Ft = 6N (horizonal right)Third force vector: FN = 8N (vertical up)Fourth vector: Ff = - 4N (horizontal left)Following Newton's second law, net force equal mass times acceleration:
Net force = mass × accelerationTo predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
Vertical force balance:Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
Horizontal force balance:Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
Answer:
A. It begins to move toward the right.
Step-by-step explanation:
Create a proportional ratio
to the given ratio
1/8 = ?
Answer:
Step-by-step explanation: 2:16 because Proportion is a mathematical concept, which states the equality of two ratios or fractions. meaning it's kind of like equivalent fractions and if you times 1/8 times 2 you get 2/16 and all you do is turn it into a ratio
Pacho starts saving for college by opening a savings account and depositing $50. He plans to make a deposit every month to continue saving. The amount of money in Pacho's savings account can be modeled by the sequence A0=50, An=An−1 + 25, where n is the number of months since his initial deposit. Is the sequence An a function? Why or why not?
The sequence is a function
Step-by-step explanation:
The sequence is given as;
[tex]A_n=A_n-1 +25[/tex]
where n is the number of months since his initial deposits, and A₀=50
The sequence is a function because its domain is a set of natural numbers.
For example,
A₁=A₀+25 =75
A₂=A₁+25=100
A₃=A₂+25=125
A₄=A₃+25=150
Learn More
Sequence:https://brainly.com/question/14005212
Keywords : saving, college, depositing, amount, money, modeled, sequence
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Answer:
Yes, because for each input value, , there is only one possible output value.
Step-by-step explanation:
i just did it on IM
What is 3(n+1)= 3+1=4
Answer:
n = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3(n+1) = 4
distributive property means multiply every term in the parentheses by the number on the left and add the new terms.
(3*n) + (3*1) = 4
3n + 3 = 4
-3 -3 subtract 3 from both sides.
3n = 1
/3 /3 divide by 3 on both sides.
n = [tex]\frac{1}{3}[/tex]
Deposits of gold can be found in the deep ocean.
Please select the best answer from the choices provided
OT
OF
The given statement, "Deposits of gold can be found in the deep ocean" is true.
Explanation:
According to the report of National Ocean service, oceans have nearly 20 million pounds of gold that are suspended in normal sea water to the tune of parts per trillion. Deep down the ocean floor, larger amount of gold are encased in rocks that could be mined. But mining in the deepest part of the ocean is not much cost efficient and would not bring any profits. Moreover, since gold will not get decomposed by salt water, it stays undisturbed on the ocean floor.
Answer:
ture!!!!!
Step-by-step explanation:
what is 0.793 rounded to the nearest hundredths
Answer:
0.800
Step-by-step explanation:
its almost 0.800
Answer:
.800
If the second digit after the decimal is 50 or is over 50 you change the first digit after the decimal point to the next digit up, and make the rest of the digits after the decimal point zero. If it is lower than 50 then you do the same but keep the same first number after the decimal point.
x/3 = 14 whats the answer
Answer: x = 42
Step-by-step explanation:
Step 1 :
x
Simplify —
3
Equation at the end of step 1 :
x
— - 14 = 0
3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
14 14 • 3
14 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (14 • 3) x - 42
———————————— = ——————
3 3
Equation at the end of step 2 :
x - 42
—————— = 0
3
Step 3 :
When a fraction equals zero :
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-42
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-42 = 0
Solving a Single Variable Equation :
3.2 Solve : x-42 = 0
Add 42 to both sides of the equation :
x = 42
Your answer: x = 42
Answer:
42
Step-by-step explanation:
x / 3 = 14.
The question required you to solve for x.
First, multiply both the LHS and the RHS by 3. The aim is to make x independent.
x/3 * 3 = 14 * 3
Therefore:
x = 42
Two expressions are below.
M = 4(2x + 6)
N = 8x + 10
Part A:
Apply the distributive property to write an expression that is equivalent to expression M.
Part B:
Explain whether or not expressions M and N are equivalent for any value of x.
Label your answers to both parts of the problem in the response box.
Answer:
part A:
M = 4(2x + 6)
= 8x + 24
part B:
option 1) i think the x value is equal for both M and N since they have the value 8.
option 2) If you meant to solve M and N with an EQUATION then here's your answer:
8x+24 = 8x+10
24≠10 (you subtract 8x when taken to the other side)
So, the answer would be NO SOLUTION
Final answer:
To apply the distributive property to expression M, multiply each term inside the parentheses by 4, resulting in M = 8x + 24. Comparing this to expression N, which is N = 8x + 10, one can see that M and N are not equivalent because their constant terms differ.
Explanation:
Part A: Equivalent Expression for M
To find an equivalent expression for M, we use the distributive property which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Therefore:
M = 4(2x + 6)
Apply the distributive property to get:
M = (4 × 2x) + (4 × 6)
M = 8x + 24
Part B: Are M and N Equivalent?
To determine if M and N are equivalent expressions, we must compare the expressions that we have for M and N:
M = 8x + 24
N = 8x + 10
Since the coefficients of x are the same but the constant terms are different, the two expressions are not equivalent for any value of x.
please help What is the domain of the following function?
Answer:
Let's use these two sets given to explain what is the domain.
Each value from the left set is x, and from the right is f(x).
If we plug any x from the left set in the function, we'll get f(x) that corresponds to it and that's exactly what the arrows are showing.
Domain of the function is, basically, a set of all values x can have.
In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.
6 1/4 % of $3,875.00
Answer:
$242.19
Step-by-step explanation:
6 1/4 as a percent: 25/400
25*3,875= 96,875
96,875^400=242.1875, rounded is equal to $242.19
What is the solution to this system of linear equations? Y-x=6 y+x=-10 (-2,-8) (-8,-2) (6,-10) (-10,6)
Answer:
x=-8, y=-2. (-8, -2).
Step-by-step explanation:
y-x=6
y+x=-10
--------------
2y=-4
y=-4/2=-2
-2-x=6
x=-2-6=-8
Answer:
x=-8, y=-2. (-8, -2).
Step-by-step explanation:
Are the ratios 3:7 and 1:2 equivalent
Answer:
Step-by-step explanation:
no they are not equivalent
Answer:
No
Step-by-step explanation:
3 divided by 3 gives you 1, whatever you do on top you have to do in the bottom .
7 divided by 3 does not give you 2. Since you cant apply the same rule of divided by 3 and getting a whole number. They are not the same.
Use algebra tiles to find (8x2+4)-(8x2+2)
Answer:
2
Step-by-step explanation:
(8x^2+4)-(8x^2+2)
8x^2+4-8x^2-2
4-2
2
please help me with #4
The chances of it being less than 5 is 4/6
So if he spins it 150 times the chances of it landing on 5 or less than it will be: 4/6 * 150 = 100 (c)
Answer:
i think its c 100
Step-by-step explanation:
sorry if it makes no sense
8y-x. When x=20 and y=4
Answer:
12
Step-by-step explanation:
8(4)-20
32-20
12
The variable is directly proportional to the variable . If y = 10 when x = 6, what is the value of y when x = 15?
Answer:
y = 25
Step-by-step explanation:
Given that the quantities are proportional then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 10 when x = 6
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] x ← equation of proportion
When x = 15, then
y = [tex]\frac{5}{3}[/tex] × 15 = 5 × 5 = 25
The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.
Answer:
The two numbers are 15 and 6.
Step-by-step explanation:
Given:
The difference between two numbers is 9.
The first number plus twice the other number is 27.
Now, to find the two numbers.
Let the first number be [tex]x.[/tex]
And the other number be [tex]y.[/tex]
So, the difference between two numbers is 9.
[tex]x-y=9[/tex]
[tex]x=9+y[/tex] ............(1)
As, given the first number plus twice the other number is 27.
According to question:
[tex]x+2y=27[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex](9+y)+2y=27\\9+y+2y=27\\9+3y=27[/tex]
Subtracting both sides by 9 we get:
[tex]3y=18[/tex]
Dividing both sides by 3 we get:
[tex]y=6.[/tex]
The other number = 6.
Now, substituting the value of [tex]y[/tex] in equation (1):
[tex]x=9+y\\x=9+6\\x=15.[/tex]
The first number = 15.
Therefore, the two numbers are 15 and 6.
A square and a circle are used as sample designs for a tiling project. The length of an edge of a square is two times the length of the radius of a circle.
Find the ratio of the area of the circle to the area of square using the given radii.
Select either Choice 'A' or Choice 'B'
For radius x, Choice 'A' π/4 is the correct answer.
For radius 10x, Choice 'B' π/4 is the correct answer.
For radius 100x, Choice 'B' π/4 is the correct answer.
Step-by-step explanation:
The Area of the circle = πr^2, where "r" is the length of the radius.
The Area of square = a^2, where "a" is the length of an edge of a square.
CASE 1 :
Substitute radius r = x and edge length a = 2x,
Area of circle = π*x*x = πx^2
Area of square = 2x*2x = 4x^2
The ratio of the area of the circle to the area of square = πx^2 / 4x^2 = π/4
Choice 'A' π/4 is the correct answer.
CASE 2 :
Substitute radius r = 10x and edge length a = 20x,
Area of circle = π*10x*10x = 100πx^2
Area of square = 20x*20x = 400x^2
Ratio of the area of the circle to the area of square = 100πx^2 / 400x^2
= π/4
Choice 'B' π/4 is the correct answer.
CASE 3 :
Substitute radius r = 100x and edge length a = 200x,
Area of circle = π*100x*100x = 10000πx^2
Area of square = 200x*200x = 40000x^2
Ratio of area of the circle to the area of square = 10000πx^2 / 40000x^2
= π/4
Choice 'B' π/4 is the correct answer.
What is the answer to, - (-x - 3)?
Step-by-step explanation:
[tex](+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3[/tex]
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
minated when you add them?
4x - 2y=7
3x - 3y=15
Answer:
Below.
Step-by-step explanation:
You could multiply the first equation by 3 and the second one by -2 so that the 2 y terms would be -6y and 6y:
12x - 6y = 21
-6x + 6y = -30
Adding these will eliminate the y variable.
The sum of four consecutive even integers is 28
Answer:
The four consecutive even integers are 4, 6, 8 and 10.
Step-by-step explanation:
Let the four consecutive even integers be [tex]x, x+2, x+4, x+6[/tex]
It is provided that the sum of these consecutive even integers is 28.
Solve for x as follows:
[tex]x+ x+2+ x+4+ x+6=28\\4x+12=28\\4x=16\\x=4[/tex]
The four consecutive even integers are:
[tex]x=4\\x+2=4+2=6\\x+4 = 4 +4 =8\\x+6=4+6=10[/tex]
Thus, the four consecutive even integers are 4, 6, 8 and 10.
1) 6x + 5y = -6
y = 2x – 14
On average, seawater in the world oceans has a salinity of about 3.5%.
How much seawater need to have evaporated to leave 100g salt?
Find it in Grams
i suppose that 3.5% means every 100g of water there is 3.5g if salt...so...
3.5g ->100g
1g ->100/3.5
100g->(100/3.5)*100
=10000/3.5
2857.1428g
=2.857kg
Answer:
3.5 grams
Step-by-step explanation:
100g x 3.5% = 3.5 grams
which of the following are solutions to this equation 3n+4=24-n a) n=1 b) n=3 c) n=5 d) n=7
Answer:
The correct option is c) n=5.
Therefore the solution to
[tex]3n+4=24-n[/tex]
is
[tex]n=5[/tex]
Step-by-step explanation:
Given:
[tex]3n+4=24-n[/tex]
To Find;
n = ?
Solution:
[tex]3n+4=24-n[/tex] ........Given
Add + n to both the side
[tex]3n+4+ n=24-n+n\\4n+4=24[/tex]
Now Subtract 4 on both the side
[tex]4n+4-4=24-4\\4n=20[/tex]
Dividing by 4 on both side
[tex]\dfrac{4n}{4}=\dfrac{20}{4}\\\\n=5[/tex]
Therefore the solution to
[tex]3n+4=24-n[/tex]
is
[tex]n=5[/tex]
One of two or more Expressions that are multiplied together to get a product
Answer:
factor
Step-by-step explanation:
We assume this is a vocabulary question and you want the word that has the definition you have supplied.
Such an expression is called a factor.
What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?
Answer: [tex]3a\sqrt[3]{b^{7}}[/tex]
Step-by-step explanation:
We have the following expression:
[tex]\sqrt[3]{27 a^{3} b^{7}}[/tex]
This can be rearranged as:
[tex]\sqrt[3]{27} \sqrt[3]{a^{3}} \sqrt[3]{b^{7}}[/tex]
Since [tex]\sqrt[3]{27}=3[/tex] and [tex]\sqrt[3]{a^{3}}=a[/tex] we have:
[tex]3a\sqrt[3]{b^{7}}[/tex] This is the simplest form
Answer:
3ab^2 (^3sqrt{ b}) or A on Edg. 2020
Step-by-step explanation: