Divide and simplify 9/8 divide 9/7

Angel works in a dentist’s office making $13.50 an hour. She works 40 hours per week. How much does she make in a year?

-Dominant- [34]

This is a 2 part question, so we will go step by step

Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.

First, let's make the equation, and we should multiply. Why?

Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.

Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)

and 13.50 is the number getting multiplied

Now we insert numbers into typical multiplication format

13.50 x 40 = ?

Now we solve

13.50 x 40 = 540

So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.

With a little help from Google, we can learn that there are in 52.1 weeks in a common year.

Now we do the same thing we did the last time and insert our numbers into the equation.

(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)

540 x 52.1 = ?

Solve

540 x 52.1 = 28,134

She makes 28,134 in a year

Hope this helped!

3 0

3 years ago

3 geometry questions, 30 points!

polet [3.4K]

Answer:

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

For Figure first

A circle with center y , having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴ x = $\frac{25}{3}$ = 8.33

For figure second

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = $\sqrt{AB^{2}+BC^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.2^{2}+0.5^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.44+0.25}}$

Or, The Length of diameter of circle AC = $\sqrt{1.69}$

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = $\pi d$

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

8 0

3 years ago

Read 2 more answers

Hannah is flying a kite with a trying that is 60 feet long. If Patricia is standing directly below the kite and 16 feet away fro

Nataly_w [17]

Answer:

74.5°

Step-by-step explanation:

Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.

Let the angle between the string and the sand be Ф.

By trigonometric ratios,

cosФ = adjacent/hypotenuse

= d/L

= 16 feet/60 feet

= 0.2667

Ф = cos⁻¹(0.2667)

= 74.53°

≅ 74.5°

So, he angle between the string and the sand is Ф = 74.5°

7 0

3 years ago

Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th

vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

$\frac{9}{1}=\frac{x}{3}$

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0

4 years ago

What is (528^5 x 2419^9)^6 - 328?

damaskus [11]

Answer:

Exact Form:

(41036433850368 ^6 x 2419 ^54 )− 328

Decimal Form:

2.48516121 x 10 ^264

6 0

3 years ago