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3 years ago

6(x+2)+7=5(x+3)-7(x-2)

Mathematics

2 answers:

saul85 [17]3 years ago

8 0

Answer:

10/8 or 1 1/5

Step-by-step explanation:

1) distributive property

6(x+2)+7=5(x+3)-7(x-2)
6x+12+7=5x+15-7x+14

2) combine like terms

6x+19=-2x+29
8x=10

3) isolate x

divide both sides by 8

4)simplify

10/8 --> 1 1/5

astraxan [27]3 years ago

6 0

Answer:

X=5/4

Step-by-step explanation:

6(x+2)+7=5(x+3)-7(x-2)

(6x+6.2)+7=(5x+5.3)-(7x-7.2)

(6x+12)+7=(5x+15)-(7x-14)

6x+12+7=5x+15-7x+14

6x19=5x-7x+15+14

6x19=-2x+29

8x=10

8x/8 = 10/8

X=2.5/2 square root 3

X=5/2 square root 3 - 1

X=5/4

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Answer:

Step-by-step explanation:

Smaller Canister:

Height, h = 12cm

Diameter = 9cm

Radius, r = 4.5 cm

$Volume = \pi r^2h\\$

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$Surface \ area = 2 \pi r(r + h)\\$

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Measures double the smaller canister, that is

height, H = 24 cm

Diameter = 18cm

Radius, R = 9cm

$Volume = \pi R^2 H\\$

$= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi$

$Surface \ area = 2 \pi R(R+ H)$

$= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2$

Comparing results :

$Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}$

Therefore, volume of larger canister is 8 times the volume of smaller canister.

$Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\$

$=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}$

Therefore, surface area of larger canister is 4 times the surface area of smaller canister.

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