What’s the greatest common factor for 74 and 92?

An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and ot

seropon [69]

250x-150x-11,000>10,000

5 0

2 years ago

Read 2 more answers

I'm blanking on how to do this, I learned it so long ago, any help would be greatly appreciated. More interested on how to do it

anyanavicka [17]

Answer:

$\dfrac{16 y^{22}}{x^{10}z^{10}}$

Step-by-step explanation:

Given expression is ,

$\sf\longrightarrow \bigg(\dfrac{2x^3y^{-5}z^8}{8x^{-2}y^6z^3}\bigg)^{-2}$

This would be simplified using the law of exponents , some of which I will use here are ,

$(an)^m = a^m n^m$
$\dfrac{a^m}{a^n}=a^{m-n}$

$a^m a^n = a^{m+n}$
$a^{-n} = \dfrac{1}{a^n}$

Using the above laws ,

$\sf \longrightarrow \bigg[ \dfrac{2}{8} \bigg(\dfrac{x^3}{x^{-2}}\bigg)\bigg(\dfrac{y^{-5}}{y^6}\bigg)\bigg(\dfrac{z^8}{z^3}\bigg) \bigg]^{-2}$

Using the second law mentioned above , we have,

$\sf \longrightarrow \bigg[ \dfrac{1}{4}(x^{3+2})(y^{-5-6})(z^{8-3})\bigg]^{-2}$

Simplify ,

$\sf \longrightarrow \bigg[\dfrac{1}{4} x^5y^{-11}z^5\bigg]^{-2}$

Using the first law mentioned above , we have,

$\sf \longrightarrow \bigg[ \dfrac{1}{4^{-2}} x^{5(-2)} y^{-11(-2)} z^{5(-2)}\bigg]$

Simplify,

$\sf \longrightarrow 4^2x^{-10}y^{22} z^{-10}$

Finally using the fourth law mentioned above , we have ,

$\sf \longrightarrow \boxed{\bf \dfrac{16 y^{22}}{x^{10}z^{10}}}$

<h3>Option K is the correct answer.</h3>

4 0

2 years ago

Calcula el minimo numero de monedas que hay dentro de una bolsa si el triple de las monedas que hay en la bolsa disminuido en 12

nika2105 [10]

12+24=36 no se si es es lol Que quieras

6 0

4 years ago

The diagram shows a square pyramid over a cube. What is the volume of the entire figure?

TEA [102]

Answer: 810

Step-by-step explanation:

first lets take down the information we were given,

height (h) of the pyramid should be 12 - 9 = 3

base (a) = 9

So we calculate the volume of a square pyramid

V = a²h/3

V = (9² × 3) / 3

v = (81 × 3) / 3

V = 81

now we calculate the volume of the cube using the formula

V = a³

V = 9³

V = 729

NOW to get the volume of the entire figure

we say

volume of square pyramid + volume of cube

81 + 729 = 810

3 0

3 years ago

If ABC=DEF and m <E= 2(m-15)° find m

Lostsunrise [7]

<h3>Answer: m = 25</h3>

====================================================

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

------------------

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

------------------

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

3 0

3 years ago