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Students get a 15% discount off the original prices at the Everything Fluorescent store during its back to school sale. Find the

spayn [35]

The discount is $1.19 unless you have to round up than it is $1.20. in order to solve this problem you would set up a proportion. So your proportion would be x over 7.99 = 15 over 100. Than you would cross multiply. 7.99*15=119.85. and 100*x=100x. than u divided both sides by a 100. than x= 1.19. which 1.19 is the discount.

5 0

3 years ago

An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of

LuckyWell [14K]

Answer:

7.55 miles

Step-by-step explanation:

Given that :

Distance of descent = 1.5 miles

New elevation point after descent = 6.05 miles

The initial elevation of the plane before descent will be :

New elevation point after descent + Distance of descent

(6.05 miles + 1.5 miles)

= 7.55 miles

8 0

3 years ago

How do you know a radical expression is in simplest form?

Diano4ka-milaya [45]

Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:

$\sqrt[5]{3645 a^8b^7c^3}$

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and 6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

$3ab \sqrt[5]{3.5.a^3b^2c^3}$

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.

7 0

3 years ago

Read 2 more answers

An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then

Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

Given system of equations

5(s-w)=900

4(s+w)=900

Set equations equal to each other

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

Solve for w using the substitution s=9w

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0

2 years ago

Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length. How long should each p

zzz [600]

Answer:

1/4 feet long should each pieces be.

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour

As per the statement: Becky has a board that is 2 and 3/4 feet long.

⇒ Length of a board = $2\frac{3}{4} =\frac{11}{4}$ feet

Also, she need to cut the board into 11 pieces.

by unit rate definition:

$\text{Unit rate per pieces} = \frac{\frac{11}{4} }{11}$

or

$\text{Unit rate per pieces} = \frac{11}{4} \times \frac{1}{11} = \frac{1}{4}$

Therefore, 1/4 feet long should each pieces be.

4 0

3 years ago