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3 years ago

2 3/4- (-1/4) Anyone have the answer ty

Mathematics

2 answers:

nignag [31]3 years ago

5 0

The answer should be 3.

Gala2k [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Hi,

To begin, we have one mixed number and one fraction. In order to solve, we have to turn the mixed number into an improper fraction.

2 3/4 as an improper fraction is 11/4. We know this because we multiply the denominator by the whole number which is 4 x 2 = 8 and then add the result to the numerator which is 8 + 3 = 11. The denominator stays the same.

So...

11/4 - (-1/4)

- (-) always turns into a +. So when subtracting a negative, take those two subtraction signs, cancel them out, and add instead.

11/4 + 1/4 = 12/4

We can add straight across since they have the same denominator.

12/4 = 3

I hope this helps :)

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Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions $\frac{40}{8}=\frac{x}{10}$ and $\frac{x}{40}=\frac{10}{8}$ . We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

$40*10=8*x$

$400=8x$

$8*x=40*10$

$8x=400$

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

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3 years ago

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Graph represents the solution of 2y +6 > 4

NemiM [27]

Answer:

y = -32

Step-by-step explanation:

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3 years ago

The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle

madam [21]

Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units

find length:
l=2w
l= 2(12)
l= 24 units

Answer:
The length of this rectangle is 24 units and the width is 12 units.

6 0

3 years ago

What’s the answer but you also have to simplify

Jlenok [28]

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

6 0

3 years ago

What is the area, in square inches, of the isosceles trapezoid below?

zimovet [89]

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

6 0

3 years ago