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Taya2010 [7]
4 years ago
10

-7p + -7p^2 + -6(-3p^2 + -10) How do you simplify this?

Mathematics
1 answer:
LekaFEV [45]4 years ago
5 0
SIMPLIFY:
−7p+7p^2+6(−3p^2+ −10)

DISTRIBUTE:
= -7p+-7p^2+(-6)(-3p^2)+(-6)(-10)

= -7p+ -7p^2+18p^2+60

COMBINE LIKE TERMS:
= -7p+ -7p^2+18p^2+60

= (-7p^2+ 18p^2)+(-7p)+(60)

ANSWER:
= 11p^2 - 7p + 60
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How many cubes with side lengths of 1/3 cm does it take to fill the prism?
user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = \frac{1}{3} cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 \frac{2}{3} = \frac{8}{3} cm

The height of prism (h) = \frac{2}{3} cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) = (\frac{1}{3})^{3}  cm³

Or,  Volume of cube with length (l) = (\frac{1}{27})  cm³

Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

Or, Volume of prism = \frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}

Or, Volume of prism = (\frac{8}{9})  cm³

<u>So , The number of cubes to fill prism  </u>

 The number of cubes × Volume of cube = Volume of prism

Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

Hence The number of cubes which fill the prism is 24  Answer

8 0
3 years ago
Scooter the clown buys flower hats for $27 each and plain hats for $22 each. If he spends a total of $250 on hats, how many hats
gavmur [86]

Answer:

6 Flower hats

Step-by-step explanation:

If you are asking for whole number answers, then the answer is 6 Flower hats.

check:

6X27=162 and 4 plain hats, 4X22=88, 162+88=250.

hope it helps!

3 0
3 years ago
What is the value of the expression 1/7 ÷ 5
andrew11 [14]

Answer:

1/35

Step-by-step explanation:(

(1/7)(1/5)

=

(1/7)(1/5)

5 0
3 years ago
Find the greatest common divisor (GCD) of 34255 and 203515.
seropon [69]
34255   = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101

So GCD(34255, 203515) = 5 * 13 * 31 = 2015
4 0
3 years ago
I need help can someone help
zaharov [31]

Answer:

yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher

Step-by-step explanation:

4 0
3 years ago
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