Write fourteen billion in scientific notation

Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, s

Kamila [148]

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

2 , 3 , 4 , 5 hours

5 0

4 years ago

Law of sines: Sinca) = sin(B) = sin(C)

ioda

Answer:

no trangles can be formed

Step-by-step explanation:

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

sin(a) sin(b)

------------ = ------------

A B

Upon substituting the given values of angle A, and sides a and b, we get:

sin(75) sin(B)

------------ = ------------

2 3

Upon solving this equation for B, we get:

----->3sin(75)=2sin(B)

----->sin(B)=3sin(75)

-------------

2

------>sinB=1.4488

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

sorry I could not get to you sooner. please mark as brainliest

3 0

3 years ago

A person is listening to a 500 Hz tone sitting from a distance of 450 m from the sound source. What is the time interval between

iragen [17]

Answer:

So, the time interval between successive compression from the source is 0.002 seconds.

Step-by-step explanation:

Given that,

Frequency of the tone, f = 500 Hz

It is sitting at a distance of 450 m from the source of sound, d = 450 m

Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :

$T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s$

<h3>So, the time interval between successive compression from the source is 0.002 seconds.</h3>

8 0

3 years ago

One morning, Muhammad's deli shop sells 15 sandwiches in 10 minutes. If the shop continues to sell sandwiches at the same rate,

antoniya [11.8K]

Answer:

68 sandwiches

Step-by-step explanation:

Given that,

A shop sells 15 sandwiches in 10 minutes.

10 minutes = (10/60) hour = (1/6) hour

In (1/6) hour shop sells 15 sandwiches

In 1 hour = 90 sandwiches

To find, no of sandwiches in 3/4 hours, multiply 3/4 by 90. So,

In 3/4 hour = $90\times \dfrac{3}{4}=67.5$ sandwiches

or

≅ 68 sandwiches

So, 68 sandwiches can be made in 3/4 hour.

3 0

3 years ago

a plane flies with 54% of its seats empty. if 81 seats are empty what is the total number of seats on the plane

ivanzaharov [21]

Answer=150 seats were on the plane total

54 81
____=____
100 x

cross multiply

54x=8100
x=150 seats

6 0

3 years ago

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