What is the solution to the equation?
2/3 a - 1/6 = 1/3

Answers

Answer 1

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

When working with fractions, I would mostly like to make the denominators the same first.  

[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Make all the denominators 6.

[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Isolate [tex]\frac{4}{6}[/tex]a.

[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]

   = [tex]\frac{3}{6}[/tex]

Find a.

[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]

a = [tex]\frac{3}{4}[/tex]


Related Questions

[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.

help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.

Answers

Answer:

D. A kidney is an organ is correct.

Step-by-step explanation:

A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.

A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.

Therefore, the correct answer is D. A kidney is an organ.

Hope this helps! :D

Multiply the fractions. Select the answer that is in simplest form
9x2 1/3

Answers

The product of the given fractions is 21.

The given expression is 9 × [tex]2 \frac{1}{3}[/tex]

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, the product of fraction can be solved by multiplying numerators and write the result in numerator and multiplying denominators and write the result in denominators.

That is, 9 × [tex]2 \frac{1}{3}[/tex] = 9 × [tex]\frac{7}{3}[/tex] = 21

Therefore, the product of the given fractions is 21.

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Write the given linear system without the use of matrices. Assume X = x y z . X' = 7 6 −9 5 1 1 0 −3 4 X + 0 3 1 e6t − 8 0 4 e−3t

Answers

Answer:

X= 3

Step-by-step explanation:

For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be less than 3 or greater than 5.

Answers

According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.

What is Probability?

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability.

According to the given information:

When two dice are rolled, the total number of possible outcomes is 36.

sum     possibilities            probability(favorable/ total outcomes of the event)

2          (1,1)                                                       1/36

3          (1,2) , (2,1)                                             2/36

4          (2,2), (3,1) , (1,3)                                    3/36

5          (4,1), (1,4),(2,3),(3,2)                              4/36

6          (1,5),(5,1),(2,4),(4,2),(3,3)                       5/36

7           (2,5),(5,2)(1,6),(6,1),(3,4),(4,3)               6/36

8           (2,6),(6,2), (5,3),(3,5),(4,4)                   5/36

9           (3,6),(6,3),(5,4),(4,5)                            4/36

10          (5,5),(4,6),(6,4)                                   3/36

11           (6,5),(5,6)                                            2/36

12          (6,6)                                                    1/36

probability that the sum will be less than 3 or greater than 5 = probability for the sum to be 2 +  probability for the sum to be 6 +  probability for the sum to be 7 + probability for the sum to be 8 + probability for the sum to be  9 + probability for the sum to be 10 + probability for the sum to be 11 + probability for the sum to be 12.

=   (1/36) + (5/36) + (6/36) + (5/36) + (4/36) + (3/36) + (2/36) + (1/36)

= (1 + 5 + 6 + 5 + 4 + 3 + 2 + 1)/36

= 27/36

According to the given statement  the probability that the sum will be less than 3 or greater than 5 = 27/36.

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Compare -8.9 and -9.3.


A.
-8.9 = -9.3

B.
-8.9 > -9.3

C.
-8.9 < -9.3

Answers

A number line will be helpful to compare the two of the given terms. The correct option is B, -8.9 > -9.3.

What is a number line?

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The two of the given numbers can be compared as shown below.

-8.9 > -9.3

This is because on a number line, numbers on left are of less value than numbers on the right. And since -8.9 is close to 0, then -9.3.

Hence, the correct option is B, -8.9 > -9.3.

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Which relation is NOT a function?

Answers

la primera ya que no se puede repetir

i am having trouble solving this. -2 1/3 - (-5)=​

Answers

Answer:

8/3 or 2 2/3

Step-by-step explanation:

1. -2 1/3 -(-5)=

2. -2 1/3 + 5=

3. -7/3 + 5=

4. -7/3 + 15/3=

5. 8/3 = 2 2/3

Gasoline costs 1.05 euro per liter in France. What is the price in dollars per​ gallon?

Answers

The price in dollars per gallon is 4.02 dollars per gallons.

How to find the price of gasoline in dollars per gallon?

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price  = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost =  1.0605 /  0.264172

cost  = 4.01552442257 dollars per gallons

cost  = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

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Help I have like 10 minutes

Answers

Answer:

Option C

Step-by-step explanation:

please mark me brainliest and 5 star

Graph the line x+y= -2​

Answers

Answer:

Y=-x-2

Step-by-step explanation:

Subtract the x. Then go to (0, -2) and go down one over 1 to the left and connect the points. Keep doing that

I need help with this​

Answers

Answer:

90 degrees

Step-by-step explanation:

Hope thishelps.   :)      :D

(5n²+7)+(-2n-4). Add

Answers

Answer:

Step-by-step explanation: Refer to attachment.

6y=60

y=__

1 A 10
2 B 54
3 C 11​

Answers

10
6•10=60
Hope this helps

Answer:

10

Step-by-step explanation:

6y=60

60/6=1so u can easily divide

solve this fraction
2 3/4 - 5 1/8

Answers

2 3/4 - 5 1/8
simplified : 11/4 - 41/8
create a common denominator : 11/4x8 is 88/32 and 41/8x4 is 328/32
simplified : 88/32 - 328/32
simplified : 11/4 - 41/4 (divide both of the fractions by 8)
11/4 - 41/4 is -30/4
the answer is -30/4 or -7 2/4 or -7 1/2
Answer is -2 3/8

Step by step

To add or subtract fractions, the denominator (bottom) has to be the same, so you are working with the same fractional part of the whole.

- 5 1/8
2 6/8 (3/4 same as 6/8)
—————-

Change to improper fractions
- 5 1/8 = -41/8
2 6/8 = 22/8
————————-
subtract
-41/8
22/8
—————
-19/8

Simplify

-2 3/8


————-

- 2 3/8 is your answer


Problem solved


Use the diagram to fill in the angle that makes the statement true.

Answers

I don't really know tbh

What is the image of the point (-2,4)(−2,4) after a rotation of 270^{\circ}270

counterclockwise about the origin?

Answers

(4, 2) is the point after 270° rotation of point (-2,4)

WHAT IS IMAGE OF A SPECIFIC POINT IN GRAPH OF MATHEMATICS ?

Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime"). Next to the aforementioned illustration, click "show distances." It is evident that the point P', which is the image of P, is by necessity on the same side of the line as P.

CALCULATION

To find the image of a specific point after rotation of the point about its origin we will use the formula (y,-x)

so applying this formula we get the co-ordinates (4,2).

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What is the value of x in the equation? 6(x +1) -5x = 8 + 2(x - 1) *

Answers

Answer:

x = 0

Step-by-step explanation:

6 ( x + 1 ) - 5x = 8 + 2 ( x - 1 )

6x + 6 - 5x = 8 + 2x - 2

-x = 0

x = 0

Answer:

x = 0

Step-by-step explanation:

First distribute both sides to simplify the equation

6(x +1) -5x = 8 + 2(x - 1)    =

6x + 6 - 5x = 8 + 2x - 2

Combine like terms

x + 6 = 6 + 2x

Subtract x from both sides

6 = 6 + x

Subtract 6 from both sides

0 = x

Write the reciprocal of (-6/7)^5÷7^0​

Answers

Answer:

1kekeo4oo4o2oqtñwkakksksjsjdjfjkgkg

. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?

Answers

Answer:

"3 hours* (460 dives/ 12 hours)= 115 dives."

"The sea turtle made 115 dives in 3 hours"

Step-by-step explanation:

"The sea turtle made 115 dives in 3 hours

Hope this helps :)

The table represents the functions f(x) and g(x) Which input value produces the same output value for
the two functions?
x= -12
x=-9
x=-6
x=-3
Please help

Answers

Answer:

x=-6

Step-by-step explanation:

g(-6)=3

f(-6)=3

Solve the system of equations by the addition method.−2x−y=0 10x+y=−8​

Answers

Answer:

(-1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-2x - y = 0

10x + y = -8

Step 2: Solve for x

Elimination

Combine equations:                         8x = -8Isolate x:                                            x = -1

Step 3: Solve for y

Define equation:                    -2x - y = 0Substitute in x:                       -2(-1) - y = 0Multiply:                                  2 - y = 0Isolate y term:                        -y = -2Isolate y:                                 y = 2

Answer:

Step-by-step explanation:

-2x -y = 0

10x+ y= -8

8x = -8

x = -1

-10 + y = -8

y = 2

(-1, 2)

Which of the following methods of timekeeping is the least precise?

A. Using a Calendar

B. Using a stopwatch

C. Counting your heartbeats

D. Observing the seasons​

Answers

I think C would be your answer

Answer:

na D cause imagine always observing the seasons bro

PLEASE HELP ME!!!!!!!!!!

Answers

Answer:

-7/10

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]

     = [tex]\frac{-7}{10}[/tex]

     = -7/10

The new pool cover is 35 feet long and 13 feet wide with the overhang.

What would be the area of the new solar pool cover for the swimming pool?

Square Feet

Answers

Answer:

455

Step-by-step explanation:

multiply the width by the length

If you're reproducing a 3 inch by 3 inch postcard on an 18 inch by 18 inch poster, what ratio do you use?

Answers

Answer:

1:6

Step-by-step explanation:

What is the perimeter of the parallelogram?

Answers

Answer:

P= 2 (a+b)

Step-by-step explanation:

given x = 2^p and y = 2^q, express in terms of x and/or y

I) 2^p+q

II) 2^2p

III) 2^q-1

Answers

Answer:

|||)2^ (p + q) = 2^p • 2^q because you'd add the exponents, so xy2^ 2q = 2^(q + q) = 2^q • 2^q as above, so y^22^ (p-1) = 2^p / 2^1 because you subtract exponents when dividing, so x/2

If xy = 32 then x = 32/yso 2xy^2 would = 2(32/y)•y^2 = 64y = 32 so y = 1/2making x = 64 since xy = 32

so 64 = 2^p; p = 61/2 = 2^q; q = -1

this 2 step equation is a pain -8×+4=-52​

Answers

Answer:

6

Step-by-step explanation:

4-52=48

48÷8=6

this is correct :)

Answer:

x=7

Step-by-step explanation:

-8x+4=-52

First remove the four by subtracting 4 from -52

-8x= -56

Then, you would want the variable (x) by itself, so you divide by -8 (Dividing a negative by a negative makes a positive)

x=7

To confirm this answer is right, plug in 7 as the variable and make sure you get -52

(-8*7)+4= (-52)

If a driver uses 1/ 10 of gas every day what fraction of a tank will he use in 1 week​

Answers

The fraction of gas the driver use in one week is 7/10 of a tank.

Fraction of gas the driver use in one week

A fraction is a number which has a numerator and a denominator. such as 7/10

Numerator refers to the upper or top value. 7 is the numerator.

Denominator refers to lower or bottom value. 10 is the denominator.

Fraction of gas used in a day = 1/10Number of days in a week = 7 days

Fraction of gas the driver use in one week = Fraction of gas used in a day × Number of days in a week

= 1/10 × 7

= (1 × 7) / 10

= 7/10 of a tank

Therefore, the fraction of gas the driver use in one week is 7/10 of a tank.

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Fill in the table for side length and area of different squares.

Answers

Answer:

a) 9

b) 10,000

c) 625

d) [tex]s^2[/tex]

Step-by-step explanation:

[tex]We\ know\ that\ Area\ of\ a\ square\ with\ side\ n=n^2\\a) 3^2 =3*3=9\\b)100^2=100*100=10,000\\c)25^2=25*25=625\\d) s^2=s^2[/tex]

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