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kirza4 [7]
2 years ago
10

A tape manufacturer reduces the price of its heavy duty tape from $30 to $28 a reel, and the price of regular tape from $20 to $

19 a reel. a computing center normally spends $1600 per month for tapes and 3/5 of this for heavy duty tapes. how much will they save per month under the new prices?
Mathematics
1 answer:
juin [17]2 years ago
4 0
3/5 of 1600 = $960 spent for heavy duty tapes
1600 - 960 = $640 spent for regular tapes

The company normally bought 
960 ÷ 30 = 32 heavy duty tapes
640 ÷ 20 = 32 regular tapes

With the new prices, the company is paying 
32 × 28 = 896 for the heavy duty tapes
32 × 19 = 608 for the regular tapes

The company is saving
960 - 896 = $64 for the heavy duty tapes
640 - 608  = $32 for the regular tapes

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Solve the compound inequality. Graph the solution set.<br> -2x&lt;2x-4&lt;4
Arte-miy333 [17]
I hope this helps you

-2x <2x-4

4 <4x

1 <x

2x-4 <4

2x <8

x <4

1 <x <4
5 0
2 years ago
Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had
leonid [27]

Answer:

8mph

Step-by-step explanation:

(20-4)/2

=16/2

=8

4 0
2 years ago
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A right triangle has side lengths a, b, and c as shown below.
Musya8 [376]

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

4 0
2 years ago
A geometric sequence has an initial value of 3 and a common ratio of 2. Which function(s) or formula(s) could represent this sit
olasank [31]

Answer:

The functions that represent this situation are A. f(n)=3\cdot 2^{n-1} and C. a(n)=a(n-1)\cdot 2; a(1)=3.

Step-by-step explanation:

A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.

In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.

This is the explicit formula for the geometric sequence whose first term is <em>k</em> and common ratio is<em> r:</em>

<em>                                                 </em>a(n)=k\cdot r^{n-1}<em />

This is the recursive formula of that sequence:

                                                 a(1)=k\\\\a(n)=a(n-1)\cdot r

We know that the first term is <em>k</em> = 3 and the common ratio is <em>r = </em>2. Therefore,

The explicit formula is f(n)=3\cdot 2^{n-1} and the recursive formula is a(n)=a(n-1)\cdot 2; a(1)=3.

6 0
2 years ago
A cup of cereal can contain 480
Rina8888 [55]

480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.

7 0
2 years ago
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