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monitta
3 years ago
9

What is 4 7/12 + 3 3/8

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

7  23 /24

Step-by-step explanation:

Rewriting our equation with parts separated

=4+7/12+3+3/8

Solving the whole number parts

4+3=7

Solving the fraction parts

7/12+3/8=?

Find the LCD of 7/12 and 3/8 and rewrite to solve with the equivalent fractions.

LCD = 24

14/24+9/24=23/24

Combining the whole and fraction parts

7+23/24=7 23/24

Solution if your looking for a formula.

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

55/12+2/78

Applying the fractions formula for addition,

=(55×8)+(27×12)12×8

=440+324/96

=764/96

Simplifying 764/96, the answer is

=7 23/24

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4 0
2 years ago
If Q is the midpoint of PR, and PQ = 2x + 3 and QR = 3x– 2, find x, PQ, QR, and PR.
leva [86]
Since they tell us that Q is the midpoint you now understand that the line is split evenly.
PQ=QR
 2x+3=3x-2
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8 0
3 years ago
Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the p
Alla [95]

Answer:

Part A : D.) 2w + 2(2w+ 1) = 29

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = 2w+1

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = 2(2w+1)+2w

we have given the perimeter, so on substituting the value, we get;

29=2(2w+1)+2w

Hence The equation used to find the width is  29=2(2w+1)+2w.

Now we solve for 'w'.

Applying distributive property, we get;

4w+2+2w=29\\\\6w+2=29

Subtracting both side by '2' we get

6w+2-2=29-2\\\\6w=27

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft

Width of the sandbox = 4.5 ft

Length of the sandbox = 2w+1=2\times4.5 +1 = 9+1=10\ ft

Hence Length of the sandbox is 10 feet.

3 0
3 years ago
Which describes the location of 2 /3 on the number line? A) between 1/3 and 2 5 B) between 2 /5 and 1 /2 C) between 1 /2 and 3 /
Bas_tet [7]

Answer:

2/3 lies between 1 and 2

Option C

5 0
3 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Solnce55 [7]

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

7 0
3 years ago
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