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3 years ago

How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?

Mathematics

2 answers:

Len [333]3 years ago

7 0

Answer:

6y - x = -30 and 5y - x = 10

Step by Step:

They want you to remove the fractions from the x-values. How can we remove the 1/6 from the x in the first equation? We can multiply the entire equation (both sides) by 6 because it cancels out the 1/6 found in the x-value. This achieves 6y = x - 30 for our first equation. This can be changed to 6y - x = -30.

How can we remove the 1/5 from the x-value in the second equation? We can multiply the entire equation by 5, since that cancels with the 1/5 coefficient found in the x-value. This gets us 5y = x + 10. This can be changed to meet our answer choices to 5y - x = 10.

s2008m [1.1K]3 years ago

5 0

For problems like these, we can set both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left side of the equation and set it equal to y, the right side would also be equal to y. Similarly, if we were to set the right side of the equation equal to y, the left side of the equation would also be equal to y. Setting both equations equal to y will produce two equations which can be used in a system of equations.

Thus, our answer is:
y = (1/6)x - 5
y = (1/5)x + 2

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I don't know how to do this problem:

mariarad [96]

Answer:

3^3×3

3^7/3^3

Explanation:

First you should solve the expression you've got there.

(3^6×3^-4)^2

3^6= 3×3×3×3×3×3 the answer is 729

3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)

=1/(2×2×2×2)= 1/16

3^-4= 1/(3^4)

=1/(3×3×3×3)

= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901

So!

(729×0.01234567901)^2= 9^2

9^2= 81

Now you can look at the following expressions and whichever gives the answer 81 will be correct.

hope it helps!

8 0

3 years ago

a music store has 40 trumpets 39 clarinets 24 violins 51 fluites and 16 trambones in stock write each ratio in simplest gorm

disa [49]

Given:

A music store has the following:

40 trumpets

39 clarinets

24 violins

51 flutes

16 trombones

We will write the following ratios:

trumpets to violins =

$undefined$

6 0

1 year ago

What percentage of 48 is 62?

Mila [183]

Answer:

129

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is a simpler form of the radical expression?<br><br> SOMEONE PLEASE HELP!!

Brilliant_brown [7]

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

$\sqrt[4]{1296 {x}^{16} {y}^{12} }$

To Find:

The Simpler form of this expression

Soln:

$= \sqrt[4]{1296 {x}^{16} {y}^{12} }$

We could re-write the given expression, according to the law of exponents:

$= \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} }$

Now we need to bring terms out of the radical as:

$\tt = | 6x { }^{4} y {}^{3} |$

Bring out 6x^4 from the absolute & put y^3 only in it:

$\tt = 6x {}^{4} |y {}^{3} |$

Choice B is accurate.

7 0

1 year ago

A Pharmacist whishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of 4% solution and wishes to add some 8% sol

Kaylis [27]

Answer:

She would need 100 ml of the 8% solution

Step-by-step explanation:

You can always answer these questions using a proportion. The numerator will represent the amount of Minoxidil, and the denominator will represent the total amount of solution

She already ha 100 ml of a 4% solution. That means that she has 4 ml of Minoxidil already

$\frac{4 + 0.08(S)}{100 + S} =\frac{6}{100}$

We can multiply both sides by 100 for simplicity

$\frac{400 + 8S}{100+S}=6\\ 400 + 8S =6(100 + S)\\400 + 8S = 600 + 6S\\2S = 200\\S = 100$

8 0

2 years ago