annabella earned $5.20 per hour for 3 1/2 hours and alex earned $4.50 per hour for 5 1/4 hours, who earned more?

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Alex earned more then annabella

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The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual

Art [367]

Answer:

$17 \le t \le 28$

Step-by-step explanation:

Given

$t = 22\frac{1}{2}$ --- average time

$\triangle t = 5\frac{1}{2}$ --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

$t \± \triangle t$

So, the inequality is:

$22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}$

Solve:

$17 \le t \le 28$

3 0

2 years ago

Please just answer this and explain how to solve...i’m not grasping the work :/

OverLord2011 [107]

$\bf Step-by-step~explanation:$

We are given that BA is perpendicular to BD, so that must mean that m∠ABD is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find m∠CBD.

PART 1

$\bf Step~1:$

Equation: (8x - 10) + (4x + 52) = 90

Let's add the like values together first.

$\bf 8x+4x=12x\\-10+52 = 42$

$\bf 12x+42=90$

$\bf Step~2:$

Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.

$\bf12x+42(-42)=90(=42)\\12x=48$