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insens350 [35]
3 years ago
9

Albert wants to buys some pens. He is comparing 4 different packs of pens. The number of pens in each pack and the cost of the p

ack is shown in the table below. Which two packs of pens have the same cost per pen? ​

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:

There are 2 red pens in each pack

There are 3 blue pens in each pack

Step-by-step explanation:

<u> we know that</u>

270=2*3^{3} *5

180=2^{2}*3^{2}*5

<u>Find the Greatest Common Factor (GCF)</u>

The GCF is equal to------> 2*3^{2}*5=90

the greatest number of packs she can make is 90

Find the number of red pens in each pack 180/90=2 red pens

Divide the total number of red pens by the total number of packs

Find the number of blue pens in each pack 270/90=3 blue pens

Divide the total number of blue pens by the total number of packs

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Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3​
mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = b_1 = 10 unit

The measure of base side 2 = b_2 = 16 unit

The height of the Trapezoid = h = 3 unit

Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

Or, A =  \dfrac{1}{2} × 78 unit²

Or, A = \dfrac{78}{2} unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0
3 years ago
Find the product. state your answer in standard form <br><br> (x+7)(x squared + 6x - 8)
USPshnik [31]

Answer:

{x}^{3}  +  13 {x}^{2}   + 34x  - 56

Step-by-step explanation:

(x + 7)( {x}^{2}  + 6x - 8) \\  = x ( {x}^{2}  + 6x - 8)  +  7( {x}^{2}  + 6x - 8)  \\  =  {x}^{3}  + 6 {x}^{2}  - 8x + 7 {x}^{2}  + 42x - 56 \\  = {x}^{3}  +  6 {x}^{2}  + 7 {x}^{2} + 42x - 8x - 56 \\  = {x}^{3}  +  13 {x}^{2}   + 34x  - 56 \\

6 0
3 years ago
Read 2 more answers
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores:
Bumek [7]

Answer:

Darius is correct if only the median score is considered.

Step-by-step explanation:

Darius scores are; 96, 54,120, 87, 123

arrange the scores in increasing order;

54,87,96,120,123

mean = (54+87+96+120+123)/5 =480/5 =96

median =96

Barb's scores are  92,94,96,98,110

mean=(92,94,96,98,110)/5 =490/5=98

median score=96

⇒if the median score only is considered; then it is a tie because the score is 96 in both players.

8 0
3 years ago
Read 2 more answers
Power (denoted by PPP) can be defined as a function of work (denoted by WWW) and time (denoted by ttt) using this formula: P=\df
Amanda [17]

Answer:

\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

Step-by-step explanation:

Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:

P=\dfrac{W}{t}

Unit of Work = \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}

Unit for Time = s

Therefore, the Unit of Power

=$Unit for W \times \dfrac{1}{\text{Unit for time}}

=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} \times \dfrac{1}{s} \\=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

An appropriate unit for power is: \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

3 0
2 years ago
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is a
Lina20 [59]

Answer:

first of all, this person is a hacker, their malicious files will destroy your computer

Step-by-step explanation:

B is the answer I think

8 0
3 years ago
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