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4 years ago

Compare. Write <, >, or = 18 – 2 O 4 - 18 What is the answer to this pls help

Mathematics

1 answer:

dybincka [34]4 years ago

8 0

Answer: 18<204>18

Step-by-step explanation:

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Help please!!! I dont understand these questions<br><br><br>currently attaching photos dont delete

Katyanochek1 [597]

Answer:

b/a
16a²b²
n¹⁰/(16m⁶)
y⁸/x¹⁰
m⁷n³n/m

Step-by-step explanation:

These problems make use of three rules of exponents:

$a^ba^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\a^{-b}=\dfrac{1}{a^b} \quad\text{or} \quad a^b=\dfrac{1}{a^{-b}}$

In general, you can work the problem by using these rules to compute the exponents of each of the variables (or constants), then arrange the expression so all exponents are positive. (The last problem is slightly different.)

1. There are no "a" variables in the numerator, and the denominator "a" has a positive exponent (1), so we can leave it alone. The exponent of "b" is the difference of numerator and denominator exponents, according to the above rules.

$\dfrac{b^{-2}}{ab^{-3}}=\dfrac{b^{-2-(-3)}}{a}=\dfrac{b}{a}$

2. 1 to any power is still 1. The outer exponent can be "distributed" to each of the terms inside parentheses, then exponents can be made positive by shifting from denominator to numerator.

$\left(\dfrac{1}{4ab}\right)^{-2}=\dfrac{1}{4^{-2}a^{-2}b^{-2}}=16a^2b^2$

3. One way to work this one is to simplify the inside of the parentheses before applying the outside exponent.

$\left(\dfrac{4mn}{m^{-2}n^6}\right)^{-2}=\left(4m^{1-(-2)}n^{1-6}}\right)^{-2}=\left(4m^3n^{-5}}\right)^{-2}\\\\=4^{-2}m^{-6}n^{10}=\dfrac{n^{10}}{16m^6}$

4. This works the same way the previous problem does.

$\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}=\left(x^{-4-(-9)}y^{1-5}\right)^{-2}=\left(x^{5}y^{-4}\right)^{-2}\\\\=x^{-10}y^{8}=\dfrac{y^8}{x^{10}}$

5. In this problem, you're only asked to eliminate the one negative exponent. That is done by moving the factor to the numerator, changing the sign of the exponent.

$\dfrac{m^7n^3}{mn^{-1}}=\dfrac{m^7n^3n}{m}$

3 0

3 years ago

10 Pts <br> Multiplying fractions:<br><br> 5 1 <br> — x — = <br> 6 2

Flauer [41]

Multiply the numerators together. Multiply the denominators together. Then reduce if necessary.

$\dfrac{first~numerator}{first~denominator} \times \dfrac{second~numerator}{second~denominator} = \dfrac{(first~numerator)\times(second~numerator)}{(first~denominator)\times(second~denominator)}$

$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}$

$\dfrac{5}{6} \times \dfrac{1}{2} = \dfrac{5 \times 1}{6 \times 2} = \dfrac{5}{12}$

6 0

4 years ago

Read 2 more answers

-5x-y= 8<br> -4x+y=2 solve the system

yan [13]

$\huge\fcolorbox{blue}{aqua}{Answer:}$

═════════════════════

1. $- 5x - y = 8$

<h3>Solve for x</h3>

$-5x-y=8$

$-5x=8+y$

$-5x=y+8$

$\frac{-5x}{-5}=\frac{y+8}{-5}$

$x=\frac{y+8}{-5}$

$x=\frac{-y-8}{5}$

<h3>Solve for y</h3>

$-5x-y=8$

$-y=8+5x$

$-y=5x+8$

$\frac{-y}{-1}=\frac{5x+8}{-1}$

$y=\frac{5x+8}{-1}$

$y=-5x-8$

────────────────────

2. $-4x-y=2$

<h3>Solve for x</h3>

$-4x-y=2$

$-4x=2+y$

$-4x=y+2$

$\frac{-4x}{-4}=\frac{y+2}{-4}$

$x=\frac{y+2}{-4}$

$x=-\frac{y}{4}-\frac{1}{2}$

<h3>Solve for y</h3>

$-4x-y=2$

$-y=2+4x$

$-y=4x+2$

$\frac{-y}{-1}=\frac{4x+2}{-1}$

$y=\frac{4x+2}{-1}$

$y=-4x-2$

════════════════════

Explanation:

#Carry on learning

7 0

3 years ago

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes

skad [1K]

So this is how we are going to solve for the given problem above.
Given that x = number of large boxes
and 120-x = number of small boxes.
So here is the solution:
50x + (120-x)20 = 4050
50x + 2400 - 20x = 4050
30x + 2400 = 4050
30x = 4050 - 2400
30x = 1650 <<divide both sides by 30
x = 55.
Therefore, there are 55 large boxes
120 - x = small boxes
120 - 55 = 65 small boxes.
Hope this is the answer that you are looking for.
Let me know if you need more help next time!

6 0

3 years ago

What is the exact area of a circle with a radius of 12 ft

lisov135 [29]

Answer:

The area is approximately 453 ft²

Step-by-step explanation:

Area of a circle = $\pi r^{2}$

If $\pi$ = 22/7, and r = 12 ft

Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

5 0

3 years ago