12 is what percent of 96 in an equation

Answers

Answer 1

Answer: 96/x=100/12
(96/x)*x=(100/12)*x - we multiply both sides of the equation by x
96=8.33333333333*x - we divide both sides of the equation by (8.33333333333) to get x
96/8.33333333333=x
11.52=x
x=11.52

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1. A hot-air balloon flew at 10 miles per hour. Using the variable h, write and solve a multiplication equation to find how many hours the balloon traveled if it covered a distance of 70 miles.2. A passenger helicopter can travel 300 miles in the same time it takes a hot-air balloon to travel 20 miles. Using the variable s, write and solve a multiplication equation to find how many times faster the helicopter can travel than the hot air balloon.

Can you answer the two questions?? :/

Answers

1. 10 x h=70 h= 7

2. 300 - 20=s s= 280

What is the exact amount for $\pi$

Answers

There is none exact amount for pi, but there are websites where you can find e.g. first million digits of pi number :) Usually pi is taken as 3.14 or 3.1415 for more accurate results.

3.14159265358979323846264338327950288419716939937510582097494

There are more numbers to go along with this
.

When two chords intersect "inside" a circle, what two sets of
angles are formed.

Answers

Answer:

Two sets of vertical angles are formed.

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=(-70)/(13)$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

Answer:

x = 4

Step-by-step explanation:

The length of two legs of a right angle triangle are 2x and 3(x+1).

The length of longest side is 17 units. It means measure of hypotenuse is 17 units.

According to the pythagoras theorem,

$leg_1^2+leg_2^2=hypotenuse^2$

$(2x)^2+(3(x+1))^2=(17)^2$

$4x^2+9(x^2+2x+1)=289$

$4x^2+9x^2+18x+9=289$

$13x^2+18x-280=0$

On splitting the middle terms we get

$13x^2+70x-52x-280=0$

$x(13x+70)-4(13x+70)=0$

$(13x+70)(x-4)=0$

Using zero product property we get

$13x+70=0\Rightarrow x=-(70)/(13)$

$x-4=0\Rightarrow x=4$

The value of x can not be a negaive number, because for negative value of x the value of 2x is negative and side can not be negative.

Therefore, the value of x is 4.

FIND THE LENGTH OF THE MISSING LEG.

Answers

Answer:

Step-by-step explanation:

In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

A stockbroker earns a commission by a flat fee for each transaction as well as a fee per share. On a particular transaction, the stockbroker sold 5,000 shares to a client at a rate of $0.01 per share. The cost of the transaction totaled $57.50. Which of the following equations describes the cost of this transaction in terms of shares sold?A.y = 0.01x
B.y = 0.01x + 7.5
C.y = 0.01x + 4,999.425
D.y = 0.01x + 5,000