MATHEMATICS HIGH SCHOOL

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and x is greater than 8, the expression giving her net earnings for the day is (blank).If Daisy works 13 hours, she will be paid (blank).

Answers

Answer 1

Answer:

Answer:

Total net earnings = 80+15(x-8)

If Daisy works 13 hours, she will be paid $155.

Step-by-step explanation:

Let Daisy works for x hours a day

She is paid $10 per hour for the first 8 hours she works in a day.

So, pay for the first 8 hours =10\times8=80 dollars

For every extra hour she works, she is paid 1.5 times her hourly wage.

The number of hours worked over 8 hours is given by = x-8

So, pay for the hours worked over 8 hours = 15(x-8) dollars

Total net earnings = 80+15(x-8)

And when x = 13

The pay is : 80+15(13-8)

= 80+15(5)

= 80+75 = 155 dollars

Answer 2

Answer:

Answer:

1) y = 15(x-8) + 80

2) $155

Step-by-step explanation:

First blank:

use the linear expression form: y = mx + b

If Daisy is working more than 8 hours, (since the problem says x > 8), then she is getting $10 per hour guaranteed, which is $80 overall. So 80 will be our constant term, b

for every hour after 8, she is being paid 1.5 x 10, which is $15. This is our slope term, m.

So our expression is: y = 15(x-8) + 80

The reason we use x-8 instead of just x, is because x is the number of hours she works, but she will only be paid 15 bucks/hour when she works after 8 hours. So we need to subtract 8 from x to get the number of hours she works after the minimum 8.

Second Blank:

If Daisy works 13 hours, just replace x with 13 in our formula:

y = 15(x-8) + 80

y = 15(13-8) + 80

y = 15(5) + 80

y = 75 + 80

y = $155

If she works for 13 hours, she gets paid $85

Hare Krishna! :)

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What is P - 15 = 13 -
6p

Answers

It's a simple linear equation in 'P'.

There is only one number that 'P' can be that would make the equation
a true statement. The number is called the"solution" of the equation.
Here's one way to find it:

You said that P - 15 = 13 - 6P

Add 6P to each side: 7P - 15 = 13

Add 15 to each side: 7P = 28

Divide each side by 7 : P = 4

p-15=13-6p
p=28-6p
7p=28
p=4

Perform each of the following conversions, making sure to use the correct abbreviations for units? A) 7.000 cubic centimeters to kiloliters B) 80. cm2 to inches2

Answers

A) To convert 7.000 cubic centimeters to kiloliters:

7.000 cm^3 * (1 kL / 1,000,000 cm^3) = 0.000007 kL

B) To convert 80. cm^2 to square inches:

80. cm^2 * (1 in^2 / 6.4516 cm^2) ≈ 12.44 in^2

3. find the domain and range of a) 3x-2y+7=0
i think in y-intercept form it is y=3/2x + 7/2

Answers

$3x-2y+7=0\n\nThe\ slope-intercept\ form:\n\n2y=3x+7\ \ \ \ \ /:2\n\ny=(3)/(2)x+(7)/(2)\n\nThe\ domain:x\in\mathbb{R}\n\nThe\ range:y\in\mathbb{R}$

A contractor building an airport needs to know how far a water tower is away fromend of the runway. Using her diagram below can you determine how far away the
water tower is?

Answers

Answer:

Step-by-step explanation:

tan(82)= X/100

100•[tan(82)]= [X/100] •100 Multiply each side by 100 to get the X by itself on the right side

X= to 711.537

Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship can be modelled by E=1/50R(1650-R), where E is Patrick's monthly earnings, in dollars, and R is the amount of rent, in dollars, he charges each tenant. if Patrick wants to earn at least $13000, between what two values should he set the rent?

Answers

E=13,000 andE=1/50R(1650-R)

0.02R(1650-R)=13000

(0.02R)(1650)-0.02R²=13000

0.02R²-33R+13000=0

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A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches

94.4π square inches
32π square inches
30.1π square inches
62.4π square inches

Answers

The label on the soup can has area of 62.4π square inches. The Option D is correct.

What is the area of the label on the soup can?

The label is represented by the rectangle in the figure.

The height of rectangle is given as 7.8 inches. The length is equal to the circumference of the circular base of the cylinder.

The circumference of a circle is: 2πr

In this case, the radius of each circle is 4 inches. So, the circumference of each circle is:

= 2π(4)

= 8π

As length of rectangle represents circumference, its length is equal to 8π inches. The height of rectangle is given as 7.8 inches.

We will calculate the area of the rectangle:

Area = Length × Height

Area = (8π) × 7.8

Area = 62.4π.