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german
3 years ago
9

David charges $4 to wash all the windows of a car, inside and out. The amount of money he earns washing the windows must end in

one of what digits? Why? List all the possible digits.
Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

The possible digits are : 0, 2, 6, 4, 8

Step-by-step explanation:

Money charged by David to wash the windows of a car = $4

Let total number of cars he washed be x

Now, Total money earned by washing windows of a car = Money charged for washing all windows of one car × Total number of cars washed

⇒ Total money earned = 4 × x

So, the amount will always end in the digits which comes at the end of multiples of 4 because the amount will be always in the multiples of 4

⇒ 4 × 1 = 4 , 4 × 2 = 8 , 4 × 3 = 12 , 4 × 4 = 16 , 4 × 5 = 20 ......

So, the possible digits are : 0, 2, 6, 4, 8

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X + 13 = -4
x = -4 - 13
x = - 17
I am thinking it is the first one..solution is -17
3 0
2 years ago
What is the domain and range of y=6
Ilya [14]

Answer:

domain -infinity

range(6)

Step-by-step explanation:

7 0
3 years ago
A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
Find the length of CA to the nearest tenth of a foot
hoa [83]

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \frac{opposite}{adjacent} = \frac{BC}{CA} = \frac{2.6}{CA} ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \frac{2.6}{tan40} ≈ 3.1 ft ( to the nearest tenth )

3 0
3 years ago
The cost of health insurance is $1,200 per year. The cost of an operation for a dramatic injury is $500,000. The chances of some
SIZIF [17.4K]

Answer:

yes. The cost of the insurance is less than the probability cost of the operation

Step-by-step explanation:

yes. The cost of the insurance is less than the probability cost of the operation

The cost of health insurance = $1200

Cost of dramatic injury operation= $500,000

chances of need of operation= 47.3% over a 20 years period

the amount of pay insurance after 20 years= 20\times 1200= 240,00

probable  of cost operation= 0.473*500,00= $236,500

clearly the cost of insurance is less than the probable  cost of operation.

5 0
3 years ago
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