The result of the given expression 12 5/6x - 14x + 1/6x is -x
Given the expression
12 5/6x - 14x + 1/6x
Convert the mixed fractions into improper fractions as shown:
[tex]\frac{77}{6}x - 14x + \frac{1}{6}x[/tex]
Collect the like terms;
[tex]= \frac{77}{6} x+\frac{1}{6}x - 14x\\= \frac{77x+x}{6} - 14x\\= \frac{78x}{6} - 14x\\= 13x - 14x\\= -x[/tex]
Hence the result of the given expression is -x
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The simplified form of the expression is -x .
Given, expression [tex]12\frac{5}{6}x -14x + \frac{1}{6} x[/tex] .
Expression: [tex]12\frac{5}{6}x -14x + \frac{1}{6} x[/tex]
Firstly solve the mixed fraction.
[tex]12\frac{5}{6} x\\= \frac{77}{6}x[/tex]
Rewriting the expression :
= [tex]\frac{77}{6}x - 14x + \frac{1}{6}x[/tex]
Solve the terms with common denominator.
= [tex]\frac{77+1}{6} x[/tex]
= [tex]13x[/tex]
Solve the like terms,
[tex]= 13x - 14x\\\\=- x[/tex]
Hence the simplified form of expression is -x .
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Please help! Give the answer and how you got it, i have a test tomorrow!!
Answer:
56.25
Step-by-step explanation:
We know that both of the angles m<KPN and m<OPN must add up to 90 degrees
We can create an equation as follows
[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
the answer is D
Step-by-step explanation:
the answer is D
Answer: Yeah It's D
Step-by-step explanation: It's D
mass of a spherical grape is 8.4 grams and
The volume of an object is equal to the ratio of its mass to density,
its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.
O 1.0 cm
O 1.5 cm
O 1.9 cm
O 21 cm
The radius of grape is 1 cm
Solution:
Given that,
The volume of an object is equal to the ratio of its mass to density
[tex]Volume = \frac{mass}{density}[/tex]
From given,
Mass = 8.4 grams
Density = 2 grams per cubic centimeter
Substituting in above formula,
[tex]Volume = \frac{8.4}{2} = 4.2\ cm^3[/tex]
Given is a spherical grape
The formula for volume of sphere is given as:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Where, "r" is the radius of sphere
[tex]4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1[/tex]
Thus the radius of grape is 1 cm
Answer:
1.0 cm
Step-by-step explanation:
81 is 18% of what number? Enter your answer in the box.
Answer:
450
Step-by-step explanation:
If 81 is 18% of a number then we can say that:
x × 0.18 = 81
We multiply by 0.18 because 18% is 0.18 as a decimal. So to work out the real number we divide 81 by 0.18:
81 ÷ 0.18 = 450
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils for $2.88 a. 7.1.68 = p/2.88; p = 10 c. 1.68/7 = p/2.88; p = 0.7 b. 7/1.68 = p/2.88; p = 12 d. 7/2.88 = p/1.68; p = 4
The proportion that could be used to solve for the variable is:
[tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex] ; p = 12 ⇒ b
Step-by-step explanation:
Direct proportion means that two (or more) quantities increase or decrease in the same ratio
y = k x is the equation of direct proportion, where k is the constant of proportionality[tex]\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k[/tex] is the another way to write a proportionThe number of pencils and the cost of them is increased together or decreased together
∴ The number of the pencils and their costs are in direct proportion
- By using the 2nd rule above
∵ The cost of the 7 pencils is $1.68
∵ The cost of p pencils is $2.88
∴ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
The proportion that could be used to solve for the variable is: [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
∵ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
- By using cross multiplication
∴ p × 1.68 = 7 × 2.88
∴ 1.68 p = 20.16
- Divide both sides by 1.68
∴ p = 12
The value of variable p is 12
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An algebraic equation is an equation that includes:
a no variables
b. only one variable
С.
one or more variables
just numbers
Please select the best answer from the choices provided
Answer:
ç
Step-by-step explanation:
fufujphgfhjunkksbkbbdkdbkdldbdjdbdkdjjdkdmdljdbdivdjbdkd
A 5-column table with 10 rows titled Table 2, Fastest growing occupations, 2006-16 (numbers in thousands). Column 1 is labeled 2006 National Employment matrix code and title with entries Network systems and data communications analysts, 15-1081; personal and home care aides, 39-9021; home health aides, 31-1011; computer software engineers, applications, 15-1031; veterinary technologists and technicians, 29-2056; personal financial advisors, 13-2052; makeup artists, theatrical and performance, 39-5091; medical assistants, 31-9092; veterinarians, 29-1131; substance abuse and behavioral disorder counselors, 21-1011. Column 2 is labeled employment number for 2006 with entries 262, 767, 787, 507, 71, 176, 2, 417, 62, 83. Column 3 is labeled employment number for 2016 with entries 402, 1,156, 1,171, 733, 100, 248, 3, 565, 84 112. Column 4 is labeled percent change with entries 53.4, 50.6, 48.7, 44.6, 41, 41, 39.8, 35.4, 35, 34.3. Column 5 is labeled numeric change with entries 140, 389, 384, 226, 29, 72, 1, 148, 22, 29.
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
a.
Substance abuse and behavioral disorder counselors
b.
Personal finance advisors
c.
Home health aides
d.
Makeup artists
Answer:
The correct answer is D. Makeup artists
Step-by-step explanation:
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
These are the total number of jobs expected in 2016:
A. Substance abuse and behavioral disorder counselors : 112,000
B. Personal finance advisers : 248,000
C. Home health aides : 1'171,000
D. Makeup artists: 3,000
The correct answer is D. Makeup artists
Answer:
d on edg
Step-by-step explanation:
7th Grade Math Help. I keep getting a different answer than from the ones on there.
Answer:
100 apples are covered in sprinkles
Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8
{(-34/7, -16/7)}
{(-34/7, 16/7)}
{(34/7, -16/7)}
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = [tex]\frac{-34}{7}[/tex]
Plugin x value into either equation to solve for y.
2y = (3 × [tex]\frac{-34}{7}[/tex]) + 10
2y = [tex]\frac{-106}{7}[/tex] + 10
2y = [tex]\frac{-32}{7}[/tex]
y = [tex]\frac{-16}{7}[/tex]
Final answer:
By rewriting one equation to isolate y and substituting it into the other, the solution to the system of equations is determined to be {(-34/7, 16/7)}.
Explanation:
The solution to the system of equations provided is found by solving the equations simultaneously. We begin by expressing the second equation in terms of y:
Rewrite the second equation:
5y = 4x + 8
y = (4/5)x + 8/5.
Substitute y in the first equation:
3x - 2((4/5)x + 8/5) + 10 = 0.
Simplify and solve for x:
(3 - 8/5)x + (10 - 16/5) = 0
which gives us-
x = -34/7
Substitute x back into y = (4/5)x + 8/5 to find
y = 16/7
Thus, the solution to the system of equations is {(-34/7, 16/7)}.
A triangle has sides with lengths of 35 meters, 84 meters, and 91 meters. Is it a right triangle?
Yes or No
Answer: No
Step-by-step explanation:
The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees
Answer:
ANswer is YES i trued it On IXL and it was yes
Step-by-step explanation:
Which number is greater?
a) 1.204×10^24
b)3.01×10^23
I need the answer ASAP
The answer will be number (a).
Yo sup??
This question can only be solved when the power of 10 in both the numbers is same.
therefore we can express the two numbers as
12.04*10^23 and 3.01*10^23
Clearly we can now say that a>b
Hence a is greater
Hope this helps.
Simplify this expression 1-c+4c-29
Answer:
3c-28
Step-by-step explanation:
Answer:-28+3c
Step-by-step explanation:
1)combine like factors
1-29=-28
-c+4c=3c
-28+3c
Lines a and b are parallel. What is the measure of angle 3 if angle 6 measures 84
Answer:
angle 3 is 84 degree
Step-by-step explanation:
because angle 3 and angle 6 are equal
1/3 of 5th grade class absent there were 4 students absent. How many students in class
Answer:
8
Step-by-step explanation:
3x4=12
12x1/3=4
12-4=8
Answer:
12 students are in that class, 8 of them are present
Step-by-step explanation:
1/3 of the class = 4
1/3 * 3 = the whole class
4 * 3 = 12 = the whole class
I don’t know how to solve this
Answer:
y = [tex]\frac{1}{4}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m = [tex]\frac{-5+3}{0-8}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = [tex]\frac{1}{4}[/tex] x - 5 ← equation of line
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40[/tex]
What is -3.45 minus positive 2.2
Answer:
-5.65
Step-by-step explanation:
The volume (show work
Let us find the area of the trapezoid first and then multiply by the height.
Area of trapezoid: 1/2(leg 1 + leg 2)h = 1/2(9+13)6 = 66 m²
Volume: area of the base x height = 66 x 14 = 924 m³
answer: 924 m³
Can someone do question 13 please
Answer:
A = 4/7
B = 2/3
C = 2/5
Step-by-step explanation:
It's Easy.
Answer:
A is 4/7
B is 2/3
C is 2/5
Step-by-step explanation:
Find the equation of the line.
y=__x+__
PLEASE HELP THIS IS DUE TODAY!! D:
Answer:
aaf ducks chicks h.c Khan ffc blackjack wUtah's hands perches yachts
8r + 12p - 7 - 3p = ?
Answer:
9p+8r-7
Step-by-step explanation:
1) subtract like terms: 12p-3p=9p
2) add unlike terms: 8r+9p -7
The given algebraic expression can be simplified as 8r+9p-7.
The given expression is 8r+12p-7-3p.
To simplify algebraic expression, simplify like terms in it.
In the given expression group the like terms, that is
8r+12p-3p-7
=8r+9p-7
Therefore, the given algebraic expression can be simplified as 8r+9p-7.
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There are 22 people in a room, if everyone shakes everyone else’s hand exactly one time, how many handshakes would that be total?
There will be 231 handshakes in total
Solution:
There are 22 people in a room
Everyone shakes everyone else’s hand exactly one time
To find: Total number of handshakes in total
Let,
n = total number of people that will shake hands
but since all (total) can't shake hands with themselves, hence we subtract one individual to start the handshaking
(n - 1) = people would each shake hands
hence we multiply both total number persons with people that will shake hands;
n(n - 1)
but that counts every handshake twice, so we have to divide by 2
Therefore;
[tex]\frac{n(n-1)}{2}[/tex]
Here, n = 22
[tex]\frac{n(n-1)}{2} = \frac{22(22-1)}{2} = 11 \times 21 = 231[/tex]
Thus there will be 231 handshakes in total
1. This season, a basketball player has made 34 of 47 free
throws. What is his free throw percentage?
The free throw percentage is 72.34 %
Solution:
Given that, This season, a basketball player has made 34 of 47 free throws
To find: Free throw percentage
The formula used is:
[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]
From given,
Number of throws by basket player = 34
Total number of throws = 47
Therefore,
[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]
Thus free throw percentage is 72.34 %
What is 4 1/3 ft. In inches
Answer:
52 inches
Step-by-step explanation:
1ft= 12inches
4times 12=48 1/3of 12=4 48+4=52
Please help. A 32-pound box of cantaloupe costs 24.40. How much would a 12-pound box cost?
Answer:
I believe it should be $9.15
Step-by-step explanation:
Answer:
$9.15
Step-by-step explanation:
lets find the cost of 1-pound box first
is 32-pound box cost $24.40
then 1-pound box will cost $ 24.40 / 32 = $0.7625
To find how much a 12-pound box will cost, we'll simply multiply the cost of 1-pound box by 12
$0.7625 * 12= $9.15
Which equation is modeled below
Answer:
what equation there isn't one
Answer:
A or -x + 1 = 2 x + 3
Step-by-step explanation:
I got this for one of my test answers, but you did not include a picture so I'm not sure is this is the correct one
what is 5/2 as a decimal
Answer:
the decimal is 2.5
Answer: 5/2=2.5
Step-by-step explanation:
How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.
Greatest common factor of 16k - 24
Answer:
8
Step-by-step explanation:
The greatest common factor of 16k - 24 is 8.
Explanation:The first step to find the greatest common factor (GCF) of 16k - 24 is to factor out any common terms. In this case, both 16k and 24 are divisible by 8, so we can factor out an 8: 8(2k - 3). Now, we need to look at the expression inside the parentheses, 2k - 3, and try to factor out any common terms. However, since 2k - 3 does not have any common factors, the GCF of 16k - 24 is simply 8.
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how do you simplify this expression (x+2)-(x-2)-12x
Answer:
−12x + 4
Step-by-step explanation:
1. Remove parentheses
x + 2 − x + 2 − 12x
2. Collect like terms.
(x − x − 12x) + (2 + 2)
3. Simplify.
−12x + 4
Answer:
Step-by-step explanation:
(x+2)-(x-2)-12x
x+2-x+2-12x
x+4-13x
-12x+4
=4(3x-1)
Find the sum of (3x2 + 16x + 9) and (−16x − 12)
Answer:
3
Step-by-step explanation:
(3*2 + 16x +9) + (-16x -12)
6 + 16x + 9 -16x -12
3
Where do you add the parentheses in this equation?
3 + 6 × 5 + 4÷2 - 7
Answer: to get to what answer
Step-by-step explanation: