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vlabodo [156]
3 years ago
7

Perform the addition or subtraction and simplify. (20 points)

Mathematics
1 answer:
pentagon [3]3 years ago
7 0
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).

Problem: x/ x-6 - 1/x+5

Step 1: multiply x-6 to the numerator and denominator of 1/x+5

1(x-6)/ (x+5)(x-6)

Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)

After all that, this is how the problem should look now

x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)

If you simplify this you get

x²+5x-x+6/ (x-6)(x+5)

If you subtract both 5x-x (like terms) you get

x²+4x+6/ (x-6)(x+5)
which is the answer

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The perimeter of a rectangular field is 60ft and its width is 20ft find the area of this field
Gennadij [26K]

Perimeter of rectangle = 2( length +width)

given: Perimeter=60 ft and width=20 ft

plugging these values in the formula,

60=2(20+ length)

dividing both sides by 2

30=20+length

length =30-20=10

length is 10 feet

width is 20 feet

Area of rectangle is given by:

Area = l*w

Area = 10 *20 = 200 square feet

Answer : Area of rectangle is 200 square feet.

4 0
4 years ago
Read 2 more answers
50× 3/8 how to reduce answer to lowest te
hoa [83]

The lowest term is \frac{75}{4}.

Solution:

Given expression is 50\times\frac{3}{8}

<u>To reduce this term to the lowest term:</u>

$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}

Multiply the numerator and denominator.

$50\times\frac{3}{8}=\frac{150}{8}

Now, divide the numerator and denominator by the greatest common factor.

Here 150 and 8 both have common factor 2.

So, divide numerator and denominator by 2.

           $=\frac{150\div2}{8\div2}

           $=\frac{75}{4}

$50\times\frac{3}{8}=\frac{75}{4}

Hence the lowest term is \frac{75}{4}.

4 0
3 years ago
A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball
Snowcat [4.5K]

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

7 0
3 years ago
Does anyone know the answers???
Vikentia [17]

Answer:

20. C, 21. A, 22. B

Step-by-step explanation:

20. Terms are numbers with variables next to them.

21. T can be anything. It can't be irrational because timers have a certain number. So for example, swimmer swims in 10 seconds, 18.5 seconds, 18.67 seconds, and so on.

22. If you solve 3x ≥ -12 and 8x ≤ 16, you get 3x ≥ -12; x = -4, and 8x ≤ 16; x = 2.

Hope it Helps!

Plz give brainliest. It would be appreciated!

7 0
3 years ago
Combine the like terms to simplify the expression. 9x^2+8y^2+4y^2-3x
Novay_Z [31]

what is question is (C)

7 0
3 years ago
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