Answers
Answer:
6.125
Step-by-step explanation:
1/8 is half of 1/4.
1/4 is 0.25
0.25 / 2 = 0.125
6 + 0.125 = 6.125
The mixed fraction 6 1/8 as a decimal form is 6.125.
The correct option is C.
To convert the mixed number 6 1/8 to a decimal, you can follow these steps:
Step 1: Multiply the whole number (6) by the denominator (8): 6 × 8 = 48.
Step 2: Add the numerator (1) to the result from step 1: 48 + 1 = 49.
Step 3: Write the sum from step 2 as the numerator over the original denominator: 49/8.
Step 4: Divide the numerator (49) by the denominator (8): 49 ÷ 8 = 6.125.
Therefore, 6 1/8 as a decimal is 6.125.
The decimal form of a mixed number represents the sum of the whole number and the fraction converted to decimal form. In this case, 6 represents the whole number part, and 1/8 represents the fraction part. By performing the division, you find that the fraction 1/8 is equivalent to the decimal 0.125. Adding this decimal to the whole number 6 gives the final result of 6.125.
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Related Questions
A 12-foot ladder leans against the wall makes an angle of 62.87 degrees with the ground. How high up the wall does the ladder reach?
Answers
Answer:
10.68 ft
Step-by-step explanation:
sin(62.87)=x/12
12sin(62.87)
=10.68 ft
hello i need help.....
Answers
Hope this helps :)
75% of the whole is 180. What's the whole?
.
Answers
75 percent *180 =
( 75:100)*180 =
( 75*180):100 =
13500:100 = 135
Now we have: 75 percent of 180 = 135
Question: What is 75 percent of 180?
Percentage solution with steps:
Step 1: Our output value is 180.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$180=100\%$180=100%.
Step 4: Similarly, $x=75\%$x=75%.
Step 5: This results in a pair of simple equations:
$180=100\%(1)$180=100%(1).
$x=75\%(2)$x=75%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{180}{x}=\frac{100\%}{75\%}$
180
x=
100%
75%
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{180}=\frac{75}{100}$
x
180=
75
100
$\Rightarrow x=135$⇒x=135
Therefore, $75\%$75% of $180$180 is $135$
How many values of x solve the equation g(x)=2? How can you illustrate your answer on the graph? Remember, we are not looking for the exact x-values, only how many solutions
Answers
Answer:
3 solutions
Step-by-step explanation:
To solve g(x) = 2
The solutions are at the points of intersection of g(x) and y = 2
y = 2 is the equation of a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 2
If you draw the horizontal line using say (0, 2) and (2, 2)
Then g(x) intersects y = 2 at 3 places
Thus there are 3 solutions to g(x) = 2
Which method best helps to prevent wind erosion?
rotating crops
decreasing riverbank slopes
more animal grazing
avoiding soil compaction
Answers
Hope it helps
Answer:
a
Step-by-step explanation:
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can represent this function.
Answers
Answer:
(x^4) - 64x
Step-by-step explanation:
zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors
[tex]x^{1} *(x-4)^{3}[/tex] becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4
now to write this in standard form
[tex]x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x[/tex]
Why can you use the constant of proportionality with any representation?
Answers
Answer:
The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.Proportionality constant can be used with any representation to determine how a variable is changing with respect to others.
Variation is a method comparing the nature of a variable with another variable using a constant called the proportionality constant
For instance, if a variable y is directly proportional to x, it is expressed as;
y ∝ x
y = kx
k is the proportionality constant relating y to x and shows that as the value of y is increasing, the value of x is also increasing and vice versa.
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Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 1/2 gallons of punch. 1 gallon is equal to 4 quarts. She thinks each person will drink about 1 quart of punch. How many people will the 6 bowls of punch serve?
Answers
Answer:
60 people
Step-by-step explanation:
Bowls of Punch = 6
Each bowl holds 2 1/2 gallons of punch
6 bowls = 2 1/2 gallons × 6
= 5/2 × 6 gallons
= 30/2
= 15 gallons
6 bowls of Punch = 15 gallons of Punch
1 gallon = 4 quarts
15 gallons = 4 × 15 quarts
= 60 quarts
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
She thinks each person will drink about 1 quart of punch.
How many people will the 6 bowls of punch serve?
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
60 quarts of punch / 1 person
= 60 people
The 6 bowls of punch will serve 60 people
4. Factor Completely *
(1 Point)
5x3 + 40x2 - 2x - 16
Answers
Answer:
(x+8)(5x2−2)
Step-by-step explanation:
Hope this helps have a nice day :)
What is the slope of the line?
y - 3 = 5(x-2)
Answers
Answer:
5
Step-by-step explanation:
To better see what the slope is (the coefficient of x), write it in slope-intercept form, y=mx+b. The slope-intercept form of [tex]y -3 = 5(x-2)[/tex] is [tex]y=5x-7[/tex]. The slope is the coefficient of x, which is 5.
Hope this helps! :)
If a tree casts a 10 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree.
Answers
Answer:
is 12 feet
Step-by-step explanation:
I need points dude!
Determine the type of triangle that is drawn below. ASAP PLZZ!!!!!
Answers
Answer:
Isosceles right
Step-by-step explanation:
two same side and there's a right angle
Section 1 - Question 9
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Which statement BEST describes who is correct?
А
Frankie is correct because the 20 is 10 which is a rational number.
B
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates
С
Both students are correct because 20 is a rational number.
D
Neither student is correct because 20 is an irrational number
©2020 Illuminate Education,
Answers
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.
Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
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solve for x.
7x/2+5=8
Answers
Answer:
x=6/7
Step-by-step explanation:
7x÷2+5=8
divide by 2 on both sides:
7x/2+5=8(it's a fraction)
subtract 5 on both sides
7x÷2=3
multiply 2 on both sides
7x=6
divide by seven on both sides
x=6/7
hope this was helpful and the instructions were clear enough!
Plz help me!!!!!!!!!
Answers
Answer:
Perimeter is sum of all side,
Step-by-step explanation:
=2X+7 + 6X-5 + 4X+1
=12X+3
BUT VALUE OF X IS NOT GIVEN IN QUESTION
Answer:
9
Step-by-step explanation:
since all the sides are equal, set two of the sides equal to each other. I did 2x+7 = 6x-5
6x-2x = 7+5
4x = 12
x = 3
Then you multiply 3 by 3 because it is an equilateral. And you get 9.
I not a 100 percent sure. Hope this helped.
Is figure B and scale copy of figure A?
Answers
Answer:
Yes it is
Step-by-step explanation:
Complete the steps to solve for x.
4
1
-X = 11
07
4
II
x = 11
20
II
(11)
20
Answers
i hope it helps u:)))))actually I'm pretty sure about it because
11/20x=11
x=11×20/11
(11 gets cancelled and 20 is left)
therefore x=20
and this proves my answer
What is the answer to the problem 4y + 3 - y - 2
Answers
Answer:
3y+1
Step-by-step explanation:
4y+3-y-2
3y+3-2
3y+1
Answer:
3+1
Step-by-step explanation:
Subtract the numbers
4+3−−2
4+1−
Round the number to the place of the underlined digit. 4.327
Answers
Answer:
Tenths -- 4.3
Hundredths -- 4.33
Thousandths -- 4.327
Ones -- 4
Step-by-step explanation:
The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one of the relationships between weeks and total hours studied is proportional. Whose number of total hours studied is proportional to the number of weeks studied ? For the proportional relationship, write an equation to represent y, the total number of hours studied, in terms of x, the number of weeks. Explain how u determined your equation. Pls help
Answers
Answer:Y times X = 5
Step-by-step explanation:
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represent proportional relationship
Equation for it is: y = 2.5x
Calculation is provided on the table
Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile driven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Answers
Answer:
216 miles
Step-by-step
ex15.95+.73x=173.63
.73x=173.63-15.95
.73x=157.68
x=157.68/.73
x=216 miles driven.
PROOF;
15.95+.73*216=173.63
15.95+157.68=173.63
173.63=173.63
Answer: Keith drove the truck for 123 miles
Step-by-step explanation:
17.99+0.97m=137.30
Subtract 17.99 on both sides:
17.99-17.99+0.97m=137.30-17.99
0.97m=119.31
Divide 0.97 on both sides:
0.97m/0.97=119.31/0.97
m=123 miles
Lowest common denominator in 2/3 and 1/2
Answers
LCD = 6
Equivalent Fractions with the LCD
2/3 = 4/6
1/2 = 3/6
I'm so lost in trigonometry please help
Answers
mary amd remesh share money into the ratio 11:3 of the difference between their share money is £80 how much did they share
Answers
Answer:
Step-by-step explanation:
110 pounds and 30 pounds, add that up and you get 140
Which of the following rules represents the function shown in the table?
A.) f( n) = 3 n
B.) f( n) = n + 3
C.) f( n) = 1/3n
Answers
Answer:
the answer is c !!! :)
Step-by-step explanation:
yeah, so period.
Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.
Answers
Answer:
the answer is x equals 22 and y equals 8
Step-by-step explanation:
first equation is x+y=30
Second equation is x-y/2=7 that simplify's to x-y=14
then you add then so they will cancel out and you are left with 2x=44 so divide two by both sides which gives x=22
then you subsitute the 22 in the first equation. It will be 22+y=30 then you subtract 22 from the 30 that gives you y=8
so the two numbers are 22 and 8
Hope this helps!!!!
The numbers satisfying the given conditions are 22 and 8.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Two numbers have a sum of 30. Half of their difference is 7.
We can write the equations as -
x + y = 30
1/2(x - y) = 7
Rearranging, we get -
y = - x + 30
y = x - 14
Plot the graph, the point of intersection is the solution. The number will be 22 and 8.
Alternativelyy = - x + 30
y = x - 14
Equating both, we get -
- x + 30 = x - 14
30 + 14 = 2x
2x = 44
x = 22
and
y = 22 - 14
y = 8
Therefore, the numbers satisfying the given conditions are 22 and 8.
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is -5.5645 repeating irrational
Answers
Answer:
This number is neither repeating or irrational.
Step-by-step explanation:
An irrational number is a number with a never-ending decimal that does NOT repeat. This number would be considered rational.
will mark brainliest!!
Answers
Answer:
the angle is 176
Step-by-step explanation:
The marked price of a machine is $1200. How much will it cost if there is a discount of 20%? *
Answers
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
did I get all of these right? feedback from experts please!
Answers
Answer:
ucf8riucfuvigruvufgv
Step-by-step explanation:
u7dfi8t57dch