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3 years ago

9

Distribute 6(c - 3)?

1 answer:

Ilya [14]3 years ago

7 0

Answer: The blue diamond "6c-18"

Step-by-step explanation:

Because the 6 would distribute with the c, so 6c, then it would distribute with the 3, which would be 18, because 6x3=18. Then the equation becomes 6c-18

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The Empire State Building is 1,454 feet tall (if you include the lightning rod). If a piece of gum is dropped from the top, how

lana66690 [7]

gravity is 32.17 ft/sec

1454 ÷ 32.17 = 45.20 seconds = answer

3 0

3 years ago

Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

S_A_V [24]

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

$P_1=\frac{13}{52}$

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

$P_2=\frac{12}{51}$

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between $P_1$ and $P_2$ . This is:

$P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588$

8 0

3 years ago

Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of

Ilya [14]

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

one ft^3 = 12 x 12 x 12 = 1728 in^3

1356.48/1728 = 0.785 ft^3 (volume of bucket)

0.785(64.2) = 50.397 lbs

6 0

3 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

$\implies 5y=6x+5b$

$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0

2 years ago

Find the inequality represented by the graph.

iris [78.8K]

Answer:

<h2> $x \geqslant \frac{y + 4}{3}$ </h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

$- 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\$

$y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x$

Inequality representated by graph:

$x \geqslant \frac{y + 4}{3}$

Hope this helps...

Good luck on your assignment...

7 0

3 years ago