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3 years ago

15

An elephant has a mass of 4500 kilograms. How many mice, with a mass of 2×10−2 kilogram each, would it take to equal the mass of

the elephant?

1 answer:

eimsori [14]3 years ago

3 0

Answer:225000 mice

Step-by-step explanation:

Mass of elephant=4500kg

Mass of mice=2x10^(-2)=2/100 kg

Let y be there number of mice

2/100 x y=4500

2y/100=4500

Cross multiply

2y=4500 x 100

2y=450000

Divide both sides by 2

2y/2=450000/2

y=225000

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Help!!! Just those two, please

Lunna [17]

A. Multiply the area of the original store by the percent increase then add that to the original amount.

1200 x 0.75 = 900

1200 + 900 = 2100

Answer: 2,100 square feet.

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2000 + 600 = $2,600

2600 x 0.05 = 130

2600 + 130 = 2,730

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3 years ago

Write the algebraic expression for the difference between the squares of two numbers.

V125BC [204]

The algebraic expression for the difference between the squares of the two numbers, supposing the two numbers to be a and b, is

a² - b² = (a + b)(a - b).

An algebraic expression is a combination of terms, where the terms are separated using mathematical operators like plus (+), minus (-), multiply (*), and divide (/).

The terms are combinations of numerals and variables.

Variables are represented alphanumerically, which can hold any value as per the expression they are used in.

In the question, we are asked to write the algebraic expression for the difference between the squares of two numbers.

We assume the two numbers to be a and b respectively.

Thus, we are asked to write an expression for the difference between the square of a and square of b, that is, we are asked to write an expression for a² - b².

We know that a² - b² is an identity, which can be shown as (a + b)(a - b).

Thus, the algebraic expression for the difference between the squares of the two numbers, supposing the two numbers to be a and b, is a² - b² = (a + b)(a - b).

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2 years ago

A store sells 8 small, 18 medium, and 20 large sweatshirts. Each sweatshirt costs $16. How much money, m, is the store paid for

Novosadov [1.4K]

Answer:

8+18+20x16 ,

Step-by-step explanation: yeah .

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3 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

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2 years ago

Find the Least Common Denominator of the fractions: 6/7 and 2/3

serg [7]

Answer:

The least common denominator is 21

Step-by-step explanation:

3 & 7 equal 21 which is the least common factor that it equals

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3 years ago

Read 2 more answers