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3 years ago

20,484,163 in expanded form

Mathematics

2 answers:

Charra [1.4K]3 years ago

5 0

20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3

mr_godi [17]3 years ago

3 0

Hey mate!
You stuck?

20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3
That is expanded notation.

Hope this helps!

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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

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3 years ago

Fernando's family traveled 272 miles on a road trip last weekend. They drove for four hours. What was the rate at which Fernando

makvit [3.9K]

Total distance traveled by Fernando's family = 272 miles
Time taken to travel the distance of 272 miles = 4 hours
Then we can say that
The distance traveled by Fernando's family in 4 hours = 272 miles
So
The distance traveled by
Fernando's family in 1 hour = (272/4) * 1 miles
= 68 miles
From the above deduction we can easily conclude that Fernando's family traveled at a rate of 68 miles per hour. I hope to have helped you.

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4 years ago

The recipe for potato salad calls for one teaspoon of vinegar for every 2 teaspoons of mayo how many teaspoons of vinegar are ne

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To solve this, you see that the amount of mayo is double that of vinegar, so you can simply divide 16/2 to get 8 teaspoons of vinegar

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Combine and simplify these radicals ⇒ √3 . √16

Alja [10]

Answer:

Answer is D

Step-by-step explanation: