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Rufina [12.5K]
3 years ago
15

1 1/3 divided by 3 + 1/3

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0
The first step to solve this problem is to convert the first mixed number to an improper fraction.
\frac{4}{3} ÷ 3 + \frac{1}{3}
Dividing is equivalent to multiplying with the reciprocal value,, so next you will need to change the signs.
\frac{4}{3} x \frac{1}{3} + \frac{1}{3}
Multiply the fractions
\frac{4}{9} + \frac{1}{3}
Finally,, add the two fractions together to get your final answer
\frac{7}{9}
This means that the correct answer to your question is \frac{7}{9} .
Let me know if you have any further questions
:)
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Drake needs to drill holes in a wooden plank. The holes will have a diameter of 0.5 millimeters, with an error allowance of 0.05
Tanzania [10]

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

6 0
2 years ago
I need help on these question ASAP!!!! This is Urgent
GarryVolchara [31]

Part 1: The equation of the line is y=2x+1

Part 2: The equation of the line in slope intercept form is y=-3x-1

Explanation:

Part 1: It is given that the point A is (1,3) and the line B is y=2 x-2

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is m=2

Substituting the point (1,3) and m=2 in slope intercept form y=mx+b, we have,

3=2(1)+b

3=2+b

1=b

Thus, the y-intercept is b=1

Let us substitute the values m=2 and b=1 in the slope intercept form y=mx+b, we get,

y=2x+1

Thus, the equation of the line passing though point A and parallel to line B is y=2x+1

Part 2: The given two coordinates are (-1,2) and (1,-4)

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is b=-1

The formula for slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the coordinates (-1,2) and (1,-4), we have,

m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3

Thus, the slope is m=-3

Substituting the values b=-1 and m=-3 in the slope intercept formula y=mx+b, we get,

y=-3x-1

Thus, the equation of the line in slope intercept form is y=-3x-1

4 0
3 years ago
Evaluate. 4-6 | 3-5 | /3
riadik2000 [5.3K]

Answer:

0

Step-by-step explanation:

4-6 is -2 and |3-5| is -2 but the |-2| makes it 2 so -2+2=0 so 0/3=0

8 0
3 years ago
What is the coefficient of y int the expression 2x4+3y
lapo4ka [179]
The coefficient of y = 3

coefficient = the constant in front of a variable
Constant means that the number will not change.


hope this helps
6 0
3 years ago
Which expression represents x less than 9<br><br> A.X-9<br> B. 9-X<br> C.-9X-9<br> D.9X-9
Orlov [11]

Answer:

answer of this question is option A x-9 this represent solution

8 0
3 years ago
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