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3 years ago

1a simplify 6x × 3y

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

18xy
You need to do 6*3=18
Then x*y= xy

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Algebra 1

BigorU [14]

Answer:

The expression is $4b^{6}c^{3}$ ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- In the exponent rules, we add the exponents when we multiply terms

have same base

- Ex: $a^{m}*a^{n}=a^{m+n}$

- The volume of the rectangular box is the product of its three

dimensions

* Lets solve the problem

- John buys a water tank from a company

- The tank he buys has the dimensions b² by b^4 by 4c³

∵ The water tank is shaped a rectangular box

∵ The tank has dimensions $b^{2},b^{4},4c^{3}$

∵ The volume of the tank = L × W × H , where L , W , H are the

dimensions of the tank

- Assume that L = b² , W = $b^{4}$ and H = 4c³

∴ The volume of the tank = b² × $b^{4}$ × 4c³

- b² and b^4 has the same base, then add its exponents

∴ The volume of the tank = $b^{4+2}$ × 4c³

∴ The volume of the tank = $b^{6}$ × 4c³

∴ The volume of the tank = $4b^{6}c^{3}$

* The expression which represents the volume of the tank is:

$4b^{6}c^{3}$

∴ The answer is the second expression

8 0

3 years ago

I just don't understand

Sveta_85 [38]

What is the question

7 0

4 years ago

A metalworker has a metal alloy that is 15% copper and another alloy that is 60% copper. How many kilograms of each alloy shou

coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

<u>Step-by-step explanation:</u>

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

6 0

3 years ago

4 1/3 x 3/5 express your awnser in simplest form.

vodka [1.7K]

Answer:

2 3/5

Step-by-step explanation:

8 0

3 years ago

Explain how the expression 8.3√2+7.9√2 can be simplified using the distributive property.

IceJOKER [234]

Answer:

$\sqrt{2}(16.2)$

Step-by-step explanation:

The distributive property says that the answer of multiplying two numbers is the same as multiplying the first number by the sum or subtraction of two numbers that result in the second number.

What we have to do is to simpligy the ecuation, this mean, making it shorter.

First we take out the common term of the ecuation: $\sqrt{2}$ .

By distributive property $8.3\sqrt{2} +7.9\sqrt{2} =\sqrt{2}(8.3+7.9)$

then $\sqrt{2} (16.2)$ .

3 0

3 years ago

1a simplify 6x × 3y​

1a simplify 6x × 3y