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3 years ago

1. Elena bought 8 tokens for $4.40. At this rate:a. What is the price of one token?

Mathematics

2 answers:

Genrish500 [490]3 years ago

3 0

Answer: $0.55

Step-by-step explanation: you would divide 4.40 by 8 to get the answer which is 0.55

Hope this helps :)

Zarrin [17]3 years ago

3 0

Answer:

55 cents

Step-by-step explanation:

each token has the same price so divide 4.40 by 8 to get 55

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The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t

Allushta [10]

Answer:

2 years

Step-by-step explanation:

13000 X 0.05 = 650

13000 - 650 = 12350 year 1

12350 X 0.05 =617.5

12350 - 617.5 =11732.5 year 2

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2 years ago

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

tia_tia [17]

Answer:

$\dfrac{7}{9}$

Step-by-step explanation:

$\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1$

$\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5$

Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

$\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}$

Hence, the fraction is $\dfrac{7}{9}$ .

6 0

3 years ago

What is the answer 4b-7-15b+3

Molodets [167]

Simplify

4b−7−15b+3

=4b+−7+−15b+3

Combine Like Terms:

=4b+−7+−15b+3

=(4b+−15b)+(−7+3)

=−11b−4

7 0

3 years ago

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Fill in the blank. A _______ probability of an event is a probability obtained with knowledge that some other event has already

motikmotik

Answer:

A conditional probability of an event is a probability obtained with knowledge that some other event has already occurred.

Step-by-step explanation:

Conditional probability of an event (A) is a probability obtained with knowledge that some other event (B) has already occurred and is denoted as P(A|B).

It satisfies the following equation:

P(A|B)=P(A and B) / P(B)

where P(A and B) is the probability of A and B occurring together.

Conditional probability is applied in many areas of Bayesian statistics and machine learning.

3 0

3 years ago

3.1+k=5.67 <br> t+20.04=14.3<br> SOLVE!!!

makkiz [27]

The answer is

K= 2.57
T= -5.74

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4 years ago

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1. Elena bought 8 tokens for $4.40. At this rate:a. What is the price of one token?​

1. Elena bought 8 tokens for $4.40. At this rate:a. What is the price of one token?