What is negative 1 over 12 - negative 3 over 4

Answers

Answer 1

Answer: -1/12 -(-3/4) = 8/12=2/3

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If 5x+4y=23 and 4x+5y=22, then what is the value of (x + y)

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

I plugged in a lot of numbers until it worked out.

5(3) + 4(2) = 15+8 which equals 23

then 4(3) + 5(2) = 12+10 which equals 22.

hope that helps!

x=3 and y=2

3+2=5

yay

Next 2 terms in geometric sequence
11 ,11 ,111 ,1111

Answers

Answer:

11111, 111111

Step-by-step explanation:

that is how sequences work

Write 30/5 as a whole number

Answers

30/5 = 30 ÷ 5 = 6
6 × 5 = 30
30/5 = 6 :)

Simplify the expression. Write the answer without using parentheses or negative exponents.((x^4 y^2)^5)/((x^2 y)^2)

Answers

$( (x^4 y^2)^5 )/( (x^2 y)^2 ) =( x^(4*5) y ^(2*5) )/( x ^(2*2) y ^2 ) =( x^(20) y ^(10) )/( x^4y^2 ) = x^(20-4) *y^(10-2)= x^(16) *y^(8)$

The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = $216\ yd^2.$

Then , we have

$216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18$

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18

Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

Robert bought a used car for $1,500. If the sales tax is 5% what will the total that Robert had to pay for the car

Answers

The total that Robert had to pay for the car will be $1,575.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Robert bought a used car for $1,500. If the sales tax is 5%.

Let 'x' be the total price that he paid. Then the equation is calculated as,

5% = [(x - 1500) / 1500] x 100

Simplify the equation, then we have

0.05 = (x - 1500) / 1500

75 = x - 1500

x = 1500 + 75

x = $1575

The total that Robert had to pay for the car will be $1,575.

More about the percentage link is given below.