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WITCHER [35]
3 years ago
9

Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20

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2 ways in which a weather satellite can orbit the earth

Step-by-step explanation:

8 0
3 years ago
it snowed 15% more in Big Bear than Arrow Head.If it snowed 50 inches in Arrow head, how many inches did it snow in Big Bear
Veronika [31]
It snowed 57.5 in Big Bear

Because 15% of 50 is 7.5 and 50+7.5=57.5

Hope this is helped
3 0
3 years ago
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width
Kay [80]

Answer:

The length of the rectangle is 11 inch and its width is 8 inch.

Step-by-step explanation:

Given:

Rectangle (R_1) and rectangle (R_2).

Let the width of the rectangle be 'x' inch.

Its length = '(x+3)' inch

Area of the rectangle = (A_1)

⇒A_1 = (x)(x+3)

Now for rectangle (R_2) its width is decreased by 1 inch and length is doubled,the area (A_2) will increased by 66 sq-inch.

So,

A_2=A_1+66

According to the question.

⇒ Area of rectangle (R_2)  with width '(x-1)' and length '2(x+3)'='(2x+6)' .

⇒ A_2=(x-1)(2x+6)

Plugging the values of A_2 in terms of A_1.

⇒ A_1+66= (x-1)(2x+6)

Plugging  A_1 = (x)(x+3) into the equation.

⇒ (x)(x+3)+66=(x-1)(2x+6)

⇒ x^2+3x+66=2x^2+6x-2x-6

⇒ x^2-2x^2+3x-6x+2x+6+66=0

⇒ -x^2-x+72=0

Now using quadratic formula we can find the value of 'x'.

Quadratic formula, (x)= \frac{\pm b+\sqrt{b^2-4ac} }{2a}

x= -9 and x= 8

Discarding the negative value.

Our width  = 'x' = 8 inches.

So the length of the rectangle = 11 inches and width of the rectangle = 8 inches.

7 0
3 years ago
Select the expression that is equivalent to (picture)
seraphim [82]
The answer to this question is x^(rt + s) since (x^r)^t becomes x^(rt) by the exponent power of a power property. Then multiplying powers of the same base results in the exponents being summed.
6 0
3 years ago
What is the length of segment BD
lisabon 2012 [21]

Answer:  The length of BD is 2.4

Step-by-step explanation:  BD is a leg of a right triangle, so use the

Pythagorean Theorem  a² + b² = c²  

BC is the hypotenuse here, so that is c = 3

We can use the segment CD as side b = 1.8

We will call BD side a, and solve to find that length.

a² + (1.8)² = 3²   Square the known values of b and c

 a² + 3.24 = 9     Subtract 3.24 from both sides.

a² = 9 - 3.24     Simplify

a²  =  5.76          Find the square root of both sides (Calculator time!)

a = 2.4

5 0
3 years ago
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