Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12
Group of answer choices
1_2/3
14_2/3
2
13_1/3
Given:
The expression is
[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]
It can be written as
[tex]=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}[/tex]
Taking LCM, we get
[tex]=\dfrac{16-5-1}{6}[/tex]
[tex]=\dfrac{10}{6}[/tex]
[tex]=\dfrac{5}{3}[/tex]
The mixed fraction of this improper fraction is
[tex]=\dfrac{1\times 3+2}{3}[/tex]
[tex]=1\dfrac{2}{3}[/tex]
So, the expression [tex]1\dfrac{2}{3}[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
What is 5/6(6x-12)+14x=
Answer:
Dvfgghytjyjt
Step-by-step explanation:
ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6
Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]
Result: [tex]\dfrac{17}{2}[/tex]
Step-by-step explanation:
Given phrase: [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]
Required expression: [tex]\dfrac14\times(18+16)[/tex] ['+' used to express sum, 'x' used in place of 'of']
Since 18+16 = 34
Then,
[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]
Hence, [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]
which equation represents the function?
Answer:
[tex]y = \frac{5}{3}x +9[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First: We calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex](x_2,y_2) = (0,9)[/tex]
The slope becomes:
[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]
[tex]m = \frac{9+1}{0+6}[/tex]
[tex]m = \frac{10}{6}[/tex]
[tex]m = \frac{5}{3}[/tex]
The equation is then calculated as:
[tex]y - y_2 = m(x-x_2)[/tex]
So, we have:
[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]
[tex]y - 9 = \frac{5}{3}x[/tex]
Make y the subject
[tex]y = \frac{5}{3}x +9[/tex]
Michael buys a dozen donuts for his friends for $6 what is the unit rate
Answer:
6 dollars per dozen
Step-by-step explanation:
This is a fraction equal to
6 dollars ÷ 1 dozen
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
6 dollars ÷ 1
1 dozen ÷ 1
=
6 dollars
1 dozen
=
6 dollars
dozen
= 6 dollars per dozen
can someone plz help me witt this??
Answer:
23
Step-by-step explanation:
sythenic division hard asab
Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?
Answer:
Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850
Step-by-step explanation:
Journal Entry Debit Credit
Allowance for doubtful account $4850
To Account receivable $4850
A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%
Answer:
с ) 20%
Step-by-step explanation:
There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.
1/5, in percentage, is 20%.
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?
Answer:
3/18
Step-by-step explanation:
Answer:
18:3
Step-by-step explanation:
acorns go first then squirrels cause the question says acorns TO squirrels
According to the stem and leaf plot above, how many students scored grades lower than $60
Answer:
7
Step-by-step explanation:
21,30,39,39,47,47,48.
basically 6|2 means 62 same with the others.
HOpe this helps plz hit the crown :D
You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24
Answer:
A. 1/5
Step-by-step explanation:
The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.
Find the coordinates of point B
1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?
Answer: Poop man
Step-by-step explanation: You throw your poop
5x5x5x5x5x5=... plz answer
Answer: 15,625
Step-by-step explanation: 5x5x5x5x5x5= 15,625
Express 2700 as a product of prime numbers.
Answer:
9669
Step-by-step explanation:
69
Pls help! Will mark first correct answer brainliest
Answer:
1.25, 40
1.6, 30
Step-by-step explanation:
First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.
We write the equations: A + B = 70, (This is the lbs)
and, 1.25A + 1.6B = 1.4(70) (This is money)
Next, choose an equation you want to solve for, in this case, I'll choose A.
In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A
Now substitute this equation into the money equation.
1.25A + 1.6(70 - A) = 98
1.25A + 112 - 1.6A = 98
-0.35A = -14
multiply by negative
0.35A = 14
divide
A = 40
Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!
what is the recursive formula for this sequence? 45,40,35,30,25 ...
Answer:
-5
Step-by-step explanation:
each number in that line is just being subtracted by 5 each time. like 45-5=40 and 40-5=35 and so on.
Find x, y, and z.
10.
Z
Х
5
7
Answer: =10
Step-by-step explanation:
Plot 5 in the complex plane.
answer is there a photo or something we can see
Step-by-step explanation:
because just saying plot 5 doesn't make sense so we probably need a photo or more information
Write an equation for the n
term of
the arithmetic sequence:
15, 28, 41, ...
Answer:
13n+2
Step-by-step explanation:
find the difference between the numbers which is 13
》13n
from 13 to 15 you add 2
》13n+2
Solve for x. Round to the nearest hundredth
Step-by-step explanation:
done
....................
Find the value of x in the following triangle
Find the solution to each number sentence below:
(1) - 10 + 15 = _______
(2) 28 + (-29) = _______
(3) -40.5 + (-0.5) = ______
(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)
Answer:
1. 5
2. -1
3.-41
4. 55
5.-155
Step-by-step explanation:
Answer:
1) 5
2) -1
3) - 41
4) 55
5) -155
A map that shows the distance from your school to the amusement park reveals that there is a right triangle formed if you draw a line from your house to the school then from the school to the amusement park, then from the amusement park to your house. The scale of the map is 1 inch for every 6 miles. What is the actual distance from your house to the amusement park?
A. 13 miles
B. 17 miles
C. 78 miles
D. 169 miles
**and pls try to explain it!*
Answer:
c) 78 miles
Step-by-step explanation:
12²+5²=c²
144+25=c²
169=c²
√169=√c²
13=c
13x6=78
For ΔQRS use the Triangle Proportionality Theorem to solve for x.
After you have solved for x, what is the Perimeter of ΔQRS?
Can you answer, show work, and explain it to me?
I struggle a lot with this type of math, thank you.
Answer:
Thanks for the points :3
a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?
Answer:
72
i think i remember doing this
A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?
Solve the system by substitution.
-5x+3y=2
Y=2x
Answer:
2 is the required answer.
Step-by-step explanation:
Solution:
Given:
-5x+3y=2..............(i)
Putting the value of y=2x in the equation (i); we get:
i.e -5x+3×2x=2
or, -5x+6x=2
or, x=2
i.e. x=2
y=2x=2×2=4
I GIVEEEEE BRAINLILST
I NEED HELPPPP
:):):):):):):):):):):):)):):):):):):):)
Y=2x+3
Y=-3x+3
X=? Y=?
taking
Y=2x+3____(1)
Y=-3x+3____(2)
making take equation 1 and equate to 2 since y=2x+3
2x+3=-3x + 3
bringing together like terms2x+3x=3-3
5x=0 so
x=0substitute x=0 in equation(2)
y=-3(0)+3
y=3