Jim started out with 3,067.48 in his checking and ended with 1,845.24 after paying for airplane tickets. To figure out how much money he spent on the tickets, you will need to first subtract the ending amount of 1,845.24 from 3,067.48 and then divide the sum to get the amount spent on each ticket.

3,067.48 - 1,845.24 = 1,222.24
1,222.24\2= 611.12

In the end Jim spent 1,222.24 in total on tickets. He spent around 611.12 on each ticket.

Hope this helps!

4 0

3 years ago

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}

HACTEHA [7]

ANSWER
$x = - 11\: or \: x = 3$

EXPLANATION

The quadratic equation given to us is

${x}^{2} + 8x = 33$

We add half the square of the coefficient of
$x$
to both sides of the equation to obtain,

${x}^{2} + 8x + {(4)}^{2} = 33 + {(4)}^{2}$

This implies that,
${x}^{2} + 8x + {(4)}^{2} = 33 + 16$

The right hand side simplifies to

${x}^{2} + 8x + {(4)}^{2} = 49$

The left hand side is a perfect square.

This gives us

${(x + 4)}^{2} = 49$

We take the square root of both sides

$x + 4 = \pm \sqrt{49}$

This evaluates to

$x + 4 = \pm 7$

We make x the subject.

$x = - 4\pm 7$

We now split the square root sign to get

.

$x = - 4 - 7 \: or \: x = - 4 + 7$

$x = - 11\: or \: x = 3$

The correct answer is A.

7 0

3 years ago

7) Katie is baking muffins for a picnic. She can bake 24 muffins in 45 minutes. At this rate, how

Sati [7]

She can bake 48 muffins in 90 minutes. Since she can bake 24 in 45 min, 90 min is double that, so double the original amount of cupcakes. 24x2=48

4 0

3 years ago

Find the slope of the given information: (-5,3) and (9,-4) m = y, - y X, - X 1​

Find the slope of the given information: (-5,3) and (9,-4) m = y, - y X, - X 1