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2 years ago

the scale of a map is 1/8 in. = 10miles. If 2 cities are 3 inches apart on the map, how many miles are they from each other?

Mathematics

1 answer:

adoni [48]2 years ago

7 0

Answer:

240 miles could be a reasonable answer

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Solve for k.

Alex Ar [27]

k= 4/9 or 0.444 in decimal form.

hope this helps!

5 0

1 year ago

Read 2 more answers

4(3x^2y^4)^3 / (2x^3y^5)^4

tatyana61 [14]

Solving the expressions $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$ we get $\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to Solve the expression: $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

$=\frac{4(3^3x^6y^{12})}{(2^4x^{12}y^{20})}\\=\frac{4(27x^6y^{12})}{(16x^{12}y^{20})}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Applying exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{27x^{-6}y^{-8}}{4}$

Another exponent rule says: $x^{-a}=\frac{1}{x^a}=$

$=\frac{27}{4x^{6}y^{8}}$

So, solving the expressions $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$ we get $\frac{27}{4x^{6}y^{8}}$

Keywords: Solving Exponents

Learn more about Solving Exponents at:

#learnwithBrainly

8 0

2 years ago

Which expression is equivalent to log_5(x/4)^2?

viktelen [127]

For this case we must find an expression equivalent to:

$log_ {5} (\frac {x} {4}) ^ 2$

So:

We expanded $log_ {5} ((\frac {x} {4}) ^ 2)$ by moving 2 out of the logarithm:

$2log_ {5} (\frac {x} {4})$

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

$log (xy) = log (x) + log (y)$

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

$log (\frac {x} {y}) = log (x) -log (y)$

Then, rewriting the expression:

$2 (log_ {5} (x) -log_ {5} (4))$

We apply distributive property:

$2log_ {5} (x) -2log_ {5} (4)$

Answer:

An equivalent expression is:

$2log_ {5} (x) -2log_ {5} (4)$

3 0

2 years ago

Approximate square root 18 to the tenths and plot on number line

GenaCL600 [577]

Since 18 does not have a number that when multiplied by itself equal 18, then it will be a decimal number. You can tell the closest whole number by seeing what is the closest square. In this case we know that 16 is 4 times 4 and the next one would be 5 times 5 to equal 25, so the whole number would be 4.

Now, the easiest way to do this is to get you calculator and take the square root of 18 to get 4.242641. The problem wants it to be to the nearest tenth so 4.2 is your answer. On a number line, if it is in four parts, you will plot it just before the first little line.

Hope this helps! If you are using more small lines in you number line, comment me below and I would be happy to lead you in the right direction.

8 0

2 years ago

HELPPP!!!!!! URGENT!!!

Burka [1]

Answer:

Step-by-step explanation:

x = price

y = number of keyboard

xy = 540

(x-2)(y+3) = 540

x = 540/y

==> x = 20

==> y = 27

6 0

2 years ago