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bogdanovich [222]
2 years ago
5

How many solutions does this linear system have? Y=2/3x+2 6x-4y=-10

Mathematics
2 answers:
romanna [79]2 years ago
5 0

Answer:

2

Step-by-step explanation:

Orlov [11]2 years ago
4 0
It has one solution.
You might be interested in
A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
2 years ago
Jason bought a table for $98.00. The finance charge was $12 and she paid for it over 10 months. Use the formula, and calculate h
lutik1710 [3]

Answer:2.00

Step-by-step explanation:

approximate apr=(finance charge divided by#months)12 / amount financed

8 0
2 years ago
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age of a person
mr_godi [17]

0<x<10

x>65

0<x<10 or x>65

4 0
2 years ago
Gary's salary varies directly as the number of days he works. If his salary for five days is $52.00, how much would it be for 12
Viktor [21]

Answer:

124.8

Step-by-step explanation:

52 divided by 5 = 10.4

then, multiply by 12 = 124.8

8 0
1 year ago
A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviations was 2.7
LekaFEV [45]

Answer:

The margin of error is approximately 0.3

Step-by-step explanation:

The following information has been provided;

The sample size, n =225 students

The sample mean number of hours spent studying per week = 20.6

The standard deviation = 2.7

The question requires us to determine the margin of error that would be associated with a 90% confidence level. In constructing confidence intervals of the population mean, the margin of error is defined as;

The product of the associated z-score and the standard error of the sample mean. The standard error of the sample mean is calculated as;

\frac{sigma}{\sqrt{n} }

where sigma is the standard deviation and n the sample size. The z-score associated with a 90% confidence level, from the given table, is 1.645.

The margin of error is thus;

1.645*\frac{2.7}{\sqrt{225}}=0.2961

Therefore, the margin of error is approximately 0.3

5 0
2 years ago
Read 2 more answers
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