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2 years ago

Name the algebraic property demonstrated in the example below: 3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y

Mathematics

2 answers:

Oksi-84 [34.3K]2 years ago

8 0

Answer:

It's Associative Property of Multiplication.

Thank You

SSSSS [86.1K]2 years ago

3 0

Answer:

ASSOCIATIVE PROPERTY OF MULTIPLICATION

Step-by-step explanation:

HOPE IT HELPS

HAVE A GREAT DAY

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At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5

larisa [96]

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for $\frac{5}{5}$ = 1 pound = $\frac{\$11}5 = \$2.2$

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.

5 0

2 years ago

In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win

natita [175]

Answer:

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Step-by-step explanation:

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2 years ago

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To get the right shade of paint, the paint store mixes 1 part yellow with

Sever21 [200]

Answer:

6 parts yellow

Step-by-step explanation:

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2 years ago

A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has $123 worth of sheet metal remaining. The equati

Sergio039 [100]

Answer:

Sheet metal remaining = 4.1x

cost per square foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square foot = $30

5 0

2 years ago

Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will s

Vlada [557]

The probability that four or fewer of the people who called will sign up for a class = 0.9805

For given question,

Eric estimates that one out of every five people who call for information about a class will sign up for the class.

Last week he receive nine calls.

We need to find the probability that four or fewer of the people who called will sign up for a class.

Total number of calls = 9

⇒ n = 9

Since one out of every five people who call for information about a class will sign up for the class.

the probability of success (p) = 1/5

= 0.2

and the probability of failure (q) = 1 - p

= 1 - 0.2

= 0.8

To find the probability that four or fewer of the people who called will sign up for a class.

So, x would take values 0, 1, 2, 3, 4

Using Binomial principal,

For x = 0,

$P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422$

For x = 1,

$P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199$

For x = 2,

$P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199$

For x = 3,

$P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616$

For x = 4,

$P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606$

So, the required probability would be,

P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661

P = 0.9805

Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

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7 months ago