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2 years ago

Twice the sum of a number and 5 is equal to three times the difference of the number and 2

Mathematics

1 answer:

Alexxx [7]2 years ago

3 0

Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

= 2X+5

Three times the difference of the number and 2

= 3(X - 2)

Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

2×(16+5) =3×(16-2)

2×21 = 3×14

42 = 42

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha

Leno4ka [110]

Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

Since the volume of a pentagonal prism is 840 cubic units.

Perpendicular distance between the bases = 14 units

We know volume of a pentagonal prism = Area of base × distance between the bases

840 = Area × 14

Area = 840/14 = 60 square units

Now area of a pentagon

$A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}$

$1.72a^{2}=60$

$a^{2}=\frac{60}{1.72}=34.90$

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3 years ago