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4 years ago

What property does this demonstrate -1/4 = -0.25 then -0.25 = -1/4

Mathematics

1 answer:

Fiesta28 [93]4 years ago

6 0

Answer: B: symmetric property

Reflexive property states that for every real number x, x = x.

symmetric property states that for all real numbers x and y, if x = y then y = x.

associative property states that you can add or multiply regardless of how the numbers are grouped. =(like adding/multiplying like terms.

Transitive property states that for all real numbers x,y, and z, if x = y and y = z then x = z.

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Sam runs a lemonade stand. One day he collected $6.55 in nickels and dimes. The number of nickels was 6 more than half the numbe

vampirchik [111]

Answer:

Total number of dimes collected = 50

Step-by-step explanation:

Let the number of dimes collected = d

And the number of nickels collected = n

On day collection in nickels and dimes = $6.55

Since, 1 nickel = $0.05

Therefore, 'n' nickels = 0.05n

And 1 dimes = $0.10

Value of 'd' dimes = $0.10d

Total value of 'n' nickels and 'd' dimes = $(0.05n + 0.10d)

So the equation for the total value will be,

0.05n + 0.10d = 6.55

5n + 10d = 655 --------(1)

Number of nickels was 6 more than half the number of dimes.

n = $\frac{d}{2}$ + 6 ------(2)

By substituting the value 'n' from equation (2) to equation (1)

5( $\frac{d}{2}$ + 6) + 10d = 655

$\frac{5d}{2}$ + 30 + 10d = 655

$\frac{25d}{2}$ = 655 - 30

25d = 625 × 2

d = $\frac{1250}{25}$

d = 50

Therefore, total number of dimes collected = 50

6 0

3 years ago

A godown is 40m long,30m wide and 9m high. How many cuboidal boxes can be stored in it, if the dimension of each box is 2mx1.2x4

sergiy2304 [10]

Answer: There are 10000 cuboidal boxes can be stored in the godown.

Step-by-step explanation:

Since we have given that

Dimensions of godown will be

40 m, 30 m, 9 m .

Dimensions of cuboidal boxes will be

2 m, 1.2 m, 45 cm

As we know Number of cuboidal boxes is given by

$\frac{\text{ Volume of godown }}{\text{ Volume of cuboidal box}}\\\\=\frac{40\times 30\times 9}{2\times 1.2\times 0.45}\\\\=10000$

Hence, there are 10000 cuboidal boxes can be stored in the godown.

4 0

3 years ago

Susan enlarged to scale a rectangle with a height of 4 cm and length of 11cm on her computer. The length of the new rectangle is

ladessa [460]

The answer is 6. To answer this you would need to do 16.5/11 to get 1.5 (that's how much the rectangle got enlarged). Then you would do 4 times 1.5 to get your new height size, which is 6.

4 0

3 years ago

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

Len [333]

Answer:

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

Find out the unit rate of a regular tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{2.50}{3.2}=\$0.78\ per\ ounce$

step 2

Find out the unit rate of a travel size tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{1.00}{1.2}=\$0.83\ per\ ounce$

step 3

Find out the percent of increase

we have that

The unit rate $\$0.83\ per\ ounce$ represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

$\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%$

therefore

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

6 0

3 years ago

the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost

Oxana [17]

Answer:

$18.51 tax

$226.51 total cost

Step-by-step explanation:

208 x 0.089 = 18.51 tax

6 0

3 years ago