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Simora [160]
3 years ago
8

Witch expression represents the sum of 8 and twice a number?

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

2x+8

Step-by-step explanation:

let the number=x

Twice the number=2x

sum of 8 and twice the number=2x+8

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Please help, At a festival 2/7th of the number of girls was equal to 3/5th of the number of boys.
fenix001 [56]

Answer:

465

Step-by-step explanation:

Let the number of girls at the festival be--------- g

Let the number of boys at the festival be---------b

The conditions are;

2/7 g = 3/5 b ---------------(i)

g-b= 165 ---------------------(ii)---------make g the subject of the expression

g= 165 +b---------------------(iii)--------use this equation in (i)

2/7 (165 +b)= 3/5 b -------multiply both sides by 7

7*2/7(165+b) =3/5*7 b

2(165+b)=21/5 b ------multiply both sides by 5

5*2(165+b) = 21/5*5*b

10(165+b) = 21 b -------open brackets

1650 +10 b = 21 b------collect like terms

1650 = 21 b- 10 b

1650 = 11 b -----divide both sides by 11

1650/11 = 11b/11

150 = b = number of boys

Using equation (ii) where g-b =165  ;  g-150 =165 , g= 165+150 =315 number of girls

Total number of children at the festival = 150+315 =465

7 0
3 years ago
Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to
Likurg_2 [28]

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and y_{0} = 0.

For this problem, going down will be the positive reference.

Then:

y=y_{0}+v_{0}t+\frac{g}{2}t^{2}

\Delta y=v_{0}t+\frac{g}{2}t^{2}

121.92=\frac{9.8}{2}t^{2}

t=\sqrt{\frac{121.92*2}{9.8} }

t ≈ 5

<u>It will take </u><u>5s</u><u> for the candy corn bag to land on the ground.</u>

Acceleration is the change in velocity per change in time, so:

g=\frac{\Delta v}{\Delta t}

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

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<u>The bag will hit the ground with </u><u>velocity</u><u> of magnitude </u><u>49 m/s.</u>

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