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3 years ago

What fraction is equivalent to 2/7, 2/9, 14/21, 16/56, 5/7, 24/35

Mathematics

2 answers:

Illusion [34]3 years ago

4 0

16/56 because if you divide it by 8 you get the 2/7.

oksano4ka [1.4K]3 years ago

3 0

16/56
hope i helped!:)

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A 50-gallon tank is filled with a 40% ethanol solution. How much solution should be drained but and replaced with an 80% ethanol

DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

US dollars per pound for the first kind of product,

US dollars per pound for the second kind of product

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

denoting the quantity of the first kind of product and

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

pounds, which gives us the first equation:

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

⋅

Now, we have a system of two linear equations that can be easily solved by substitution.

3 0

2 years ago

A geometric sequence is shown below.

mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

$-\frac{1}{2},\:-2,\:-8,\:-32,...$

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

$f_n=f_1\cdot r^{n-1}$

Determining the common ratios of all the adjacent terms

$\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4$

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

$f_n=f_1\cdot r^{n-1}$

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

Thus, an explicit representation for the nth term of the sequence:

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

It means, option (B) should be true.

8 0

2 years ago

Help me, please !!!!!

vova2212 [387]

Answer: 100

Hi!

ok so the Pythagorean theorem is

$c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10$

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

4 0

3 years ago

Which equation can be used to determine the distance between the origin and (-2,-4)?

loris [4]

Answer:

I believe it is the second 1

5 0

3 years ago

What is 0.000000028 in scientific notation

Papessa [141]

2.8 X 10^-8 (........characters space so that I can post this..)

8 0

3 years ago

Read 2 more answers