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adelina 88 [10]
3 years ago
12

Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achi

eving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve an equation for b.
Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the
choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

P(t) = P(0)(1+r)^t

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that P(10) = 2P(0). We use this to find r. So

P(t) = P(0)(1+r)^t

2P(0) = P(0)(1+r)^10

(1+r)^10 = 2

\sqrt[10]{(1+r)^10} = \sqrt[10]{2}

1+r = 2^{\frac{1}{10}}

1 + r = 1.0718

So

P(t) = P(0)(1+r)^t

P(t) = P(0)(1.0718)^t

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

P(t) = P(0)(1.0718)^t

4P(0) = P(0)(1.0718)^t

(1.0718)^t = 4

\log{(1.0718)^t} = \log{4}

t\log{1.0718} = \log{4}

t = \frac{\log{4}}{\log{1.0718}}

t = 20

It will take the 20 years for the population to quadruple.

5 0
3 years ago
If 8y-8=24, find the value of 2y
algol [13]
8 is the answer
for 2y
6 0
3 years ago
Read 2 more answers
Help me anyone that great in math
pochemuha

Answer:

B) 24/35

Step-by-step explanation:

Cos(X)= Adjacent/Hypotenuse

Cos(X) = 24/25

Therefore, option B is your answer.

Hope this answers your question!!

6 0
3 years ago
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
tia_tia [17]

Answer:

x = 8

Step-by-step explanation:

well using the theorem we have

\frac{6}{9}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\\\12[\frac{2}{3}]=12[\frac{x}{12}]\\\\4\cdot 2=x\\\\x=8

7 0
3 years ago
Simplify using the distributive property, Show all work -2(x - 5) + 4(9 + x).
zzz [600]
-2(x - 5) + 4(9 + x)
-2x + 10 + 36 + 4x
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7 0
4 years ago
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