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
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
Is figure B and scale copy of figure A?
Answers
Answer:
Yes it is
Step-by-step explanation:
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
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−
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
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
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 :)
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!
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:
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
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
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
did I get all of these right? feedback from experts please!
Answers
Answer:
ucf8riucfuvigruvufgv
Step-by-step explanation:
u7dfi8t57dch
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]
hello i need help.....
Answers
Hope this helps :)
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
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
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.
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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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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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.
I'm so lost in trigonometry please help
Answers
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!
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! :)
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:
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.
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 $135$