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Ipatiy [6.2K]
3 years ago
9

Simplify a - {b - [c - (d - e) - f] - g}.

Mathematics
1 answer:
Dimas [21]3 years ago
6 0
The key is to work from the middle.

c - (d - e) - f = c - d + e - f

b - (c - d + e - f) - g = b - c + d - e + f - g

a - (b - c + d - e + f - g) = a - b + c - d + e - f + g

Answer:
a - b + c - d + e - f + g
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The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
Norma-Jean [14]

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

7 0
3 years ago
Identify the diameter of the circular base created by folding the figure into a right cone. HELP ASAP PLEASE!!
Akimi4 [234]

let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.

think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.

now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area.  Well, what is the circumference of that shaded area?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies C=2\pi 12\implies C=24\pi \implies \stackrel{\textit{three quarters of it}}{24\pi \cdot \cfrac{3}{4}} \\\\\\ 6\pi \cdot 3\implies 18\pi

well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{diameter is twice the radius}}{d=18}~\hfill

3 0
3 years ago
Complete equation of the line through (1,4) and (2,2)
lions [1.4K]

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

3 0
3 years ago
5(10-6)<br> 6(4+10)<br> Help me, I find the bracket confusing
ira [324]

Answer:

20

30

Step-by-step explanation:

Do 5 times ten.

5 times -6

Gives you 20

Then do 6 times 4, 6 times 10, to get the final answer of 30.

4 0
3 years ago
Read 2 more answers
In a standard deck of playing cards, one-fourth of the cards are hearts.
makkiz [27]

Answer:

\sf D) \quad \dfrac{1}{64}

Step-by-step explanation:

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Probability of drawing a heart from one deck:

\sf \implies P(heart)=\dfrac{1}{4}

Therefore, probability of drawing a heart from each of 3 decks:

\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}

7 0
2 years ago
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