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2 years ago

To the nearest millimeter, a cell phone is 86 mm long and 40 mm wide. What is the ratio of the width to the length?

Mathematics

1 answer:

MAXImum [283]2 years ago

4 0

Answer:

20 : 43

Step-by-step explanation:

width : length

40 mm : 86 mm

40 : 86

20 : 43

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.

frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. $m = -\frac{23350}{13}$

c. $y = -\frac{23350}{13}x + 23350$

Step-by-step explanation:

Given

$Years = 13$

$Total\ depreciation = \$23350$

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

$m = \frac{23350}{13}$

Because it is depreciation, it means the slope represents a deduction.

So,

$m = -\frac{23350}{13}$

Solving (c): The straight line equation

The general format of an equation is:

$y = mx + b$

Where

$m = slope$

$b = y\ intercept$

In (a), we have that:

$y\ intercept = 23350$

In (b), we have that:

$Slope\ (m) = -\frac{23350}{13}$

Substitute these values in $y = mx + b$

$y = -\frac{23350}{13}x + 23350$

<em>Hence, the depreciation equation is: </em> $y = -\frac{23350}{13}x + 23350$ <em></em>

8 0

2 years ago

Tyler buys 3 cans that each contain 3 quarts of blue paint, and he buys 1 can that contains 2 quarts of white paint. What is the

Serga [27]

Tyler has 3 cans of blue paint. Each contains 3 quarts separately. What you need to do is multiply 3 and 3, which would total to 9 quarts. Since you need to include exponents, I´m guessing 3 cubed (3 to the third power) will work. He also buys 1 can of white paint, which only contains 2 quarts. You should add that to the 9 quarts we got from the last steps. I am not sure if this answer is entirely correct, but my guess is 3^3 + 2 = 11 quarts.

6 0

2 years ago

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Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tile

Gre4nikov [31]

Your answer is the second option, she should choose the rectangular tiles because the total cost will be $8 less.

To find this answer we need to first find the total cost for using square tiles, and the cost for using rectangular tiles, and compare them. We can do this by finding the area of each tile individually, calculating how many tiles we would need, and multiplying this by the cost for one tile:

Square tiles:

The area of one square tile is 1/2 × 1/2 = 1/4 ft. Therefore we need 40 ÷ 1/4 = 160 tiles. If each tile costs $0.45, this means the total cost will be $0.45 × 160 = $72

Rectangular tiles:

The area of one rectangular tile is 2 × 1/4 = 2/4 = 1/2 ft. Thus we need 40 ÷ 1/2 = 80 tiles. Each tile costs $0.80, so the total cost will be 80 × $0.80 = $64.

This shows us that the rectangular tiles will be cheaper by $8.

I hope this helps! Let me know if you have any questions :)

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3 years ago

Simplify 5(2) x 5(5)x5

anastassius [24]

First you would have to multiply everything by the parenthesis
5*2=10
5*5=25
So your equation should look like this
10*25*5
Then multiply from left to right
10*25=250
250*5=1250
So the simplified form of this is 1250

Hope this helps!

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3 years ago

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Write 0.39 as a percent

Maslowich

0.39 as a percent is 39%. You get this by multiplying 0.39 by 100.

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3 years ago

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