What is Three to the power of negative three

The cost of a unit is made up of $6.25 material cost, $4.75 labour cost, and $3.25 overhead. What is the ratio that exists betwe

blsea [12.9K]

Answer:

The ratio that exist between this three elements are 25 : 19 : 13.

Step-by-step explanation:

Ratio compares one thing to another. Ratios indicate the comparison of the size of a number to another . One trick about ratio is that you can multiply or divide the ratios by same number. For example the ratio of boy to girls can be represented as 3 : 4. If you multiply the ratios by 2 you will get the ratio 6 : 8 and it still represent the same ratios of boys to girls. Ratios can be written as a fraction for example 3/4 for our example.

The cost of the unit is made up of $6.25 , $4.75 and $3.25.

$6.25 $4.75 $3.25 . Let us multiply by 100 to remove the decimals.

625 : 475 : 325 . Now let simplify the ratios by dividing through by 25.

625/25 : 475/25 : 325/25 . The simplest ratios can be written as follows

The ratios are 25 : 19 : 13.

6 0

3 years ago

Does anyone know this

Rudik [331]

Answer:

its the first one. you're right.

A reflection over y-axis.

6 0

2 years ago

How to solve 76×327 step by step

hram777 [196]

Here's a method that takes advantage of the values of these particular numbers.

... 76 = 80 - 4

so

... 76 × 327 = (80 -4)×327

... = 80×327 - 4×327

Repeated doubling will give us values that are 2, 4, and 8 times 327.

... 2×327 = 327+327 = 654

... 2×654 = 4×327 = 654+654 = 1308 . . . . we'll use this later

... 2×1308 = 8×327 = 2616

We want 80×327, so we can add a zero to the end of this last:

... 80×327 = 26160

Now, we can subtract 4×327 to get 76×327

... 80×327 - 4×327 = 26160 -1308 = 24852 = 76×327

_____

More conventionally, you would multiply every digit of one number by every digit of the other and add the products according to their respective place values.

327 × 076 = (3×0)×10000 + (3×7 +2×0)×1000 +(3×6 +7×0 +2×7)×100 +(2×6 +7×7)×10 +(7×6)×1

... = 0 +21,000 +3,200 + 610 +42

... = 24,852

Note the pattern of partial products here. This is a method taught to/by practitioners of Vedic mathematics, and can be done in your head. At most, you would write down the partial product sums 21, 32, 61, and 42 to keep from having to carry more than one number in your head at a time.

5 0

3 years ago

Blue Star is starting a new distribution service that delivers auto parts to the service departments of auto dealerships in the

marusya05 [52]

Answer:

Blue Star

a. The Ford TriVan The Honda CityVan

Total life-cycle costs $94,368 $90,936

Based on life cycle cost, the Honda CityVan is the best choice.

b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.

c. The crossover point in years = 5 months

Step-by-step explanation:

a) Data and Calculations:

The Ford TriVan The Honda CityVan

Purchase costs $28,000 $32,000

Fuel efficiency per gallon 24 miles 37 miles

Operating cost per mile $0.20 $0.22

Total operating costs $4,400 $4,840

Estimated annual distance 22,000 miles 22,000 miles

Gallons of fuel consumed 916.7 (22,000/24) 594.6 (22,000/37)

Total cost of fuel $3,896 $2,527

Fuel cost per mile $0.18 $0.115

Total cost per mile $0.38 $0.335

Expected life of truck 8 years 8 years

Average gas price = $4.25 per gallon

Total costs:

The Ford TriVan The Honda CityVan

Annual costs:

Total operating costs $4,400 $4,840

Total cost of fuel $3,896 $2,527

Annual costs $8,296 $7,367

Life cycle costs:

Annual costs for 8 years $66,368 $58,936

Purchase costs $28,000 $32,000

Total life-cycle costs $94,368 $90,936

Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)

Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan

= Difference in costs divided by total cost per mile of the Ford TriVan

= 9,032 miles ($3,432/$0.38)

Annual distance = 22,000 miles

Monthly distance = 1,833 miles

9,032/1,833 = 4.93 months or 5 months approximately

3 0

3 years ago

A store sold 2.5 times as many footballs as basketballs last year. What is the number of footballs sold for every basketball sol

bixtya [17]

Answer:

Step-by-step explanation:

You aren't able to figure out an exact number of either footballs or basketballs because you don't have enough information for that, but you do have enough to get an expression for one in terms of the other, which I imagine is the point here. We know that for every 1 basketball sold, we sold 2.5 footballs, so the algebraic expression for that is

1 bball = 2.5 fballs

This gives us the number of bballs in terms of fballs but we want the number of fballs in terms of bballs, so solve that expression for fballs:

1 fball = 1/2.5 bballs

or, in words, for every single football sold, 2/5 of a basketball was sold. Sounds silly, but I think your teacher is trying to get you to figure out how to express one thing in terms of another so you can use the expressions in solving story problems.

:/

6 0

3 years ago