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Slav-nsk [51]
2 years ago
6

Negative 5 1 half plus 7 3 over 4

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

2 \dfrac{1}{4}

Step-by-step explanation:

-5 \dfrac{1}{2} + 7 \dfrac{3}{4} =

= -5 \dfrac{2}{4} + 7 \dfrac{3}{4}

= 7 \dfrac{3}{4} - 5 \dfrac{2}{4}

= 2 \dfrac{1}{4}

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Using long division to find the quotient, what changes do you first
lora16 [44]

Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
Multiply (x + 14)(x + 15). What is the product?
Contact [7]

Answer:

x^2+29x+210

I hope this helps! I did this through the FOIL method. :)

5 0
3 years ago
The Area of the net is 24 cm2. What is the side length of the cube?
Ymorist [56]
The side length of the cube is 6 cm.
4 0
3 years ago
Read 2 more answers
The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and th
klemol [59]
The area of a triangle can be calculated using the formula 

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16  = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

6 0
3 years ago
What is the circumference of a rectangle when the length is 8 inches and the width is 4 inches
Nikolay [14]
You multiply 8x4=32 and then divide 32÷2= 16in²
5 0
3 years ago
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