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Gnesinka [82]
2 years ago
14

The length of a river is 480 km. What is its length on a map with a scale 1:5,000,000?

Mathematics
2 answers:
NeX [460]2 years ago
8 0

Answer:

PLEASE MARK BRAINLIEST

the answer is 9.6 cm

Step-by-step explanation:

Greeley [361]2 years ago
6 0

Answer:

The length of the river on a map is 9.6\ cm

Step-by-step explanation:

we know that

The scale of the map is 1:5,000,000

That means

1 cm on a map is 5,000,000 cm on the actual

or

1 cm on a map is 50 km cm on the actual

so

using proportion

\frac{1}{50}\frac{cm}{km}=\frac{x}{480}\frac{cm}{km}\\ \\x=480/50\\ \\x=9.6\ cm

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Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6
kirill [66]

Answer:

Option (a) is correct.

The system of equation becomes

y=12x^3-5x\\\\ y=2x^2+x+6

Step-by-step explanation:

Given : Equation  12x^3-5x=2x^2+x+6

We have to construct a  system of equations that  can be used to find the roots of the equation 12x^3-5x=2x^2+x+6

Consider the given equation 12x^3-5x=2x^2+x+6

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation 12x^3-5x=2x^2+x+6

becomes,

12x^3-5x=y=2x^2+x+6

Thus, The system of equation becomes

y=12x^3-5x\\\\ y=2x^2+x+6

Option (a) is correct.

   

8 0
2 years ago
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Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step
Arturiano [62]
Step 2 is the answer
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2 years ago
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A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of
Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

So the probability of having 3 laser printers and 3 inkjets is given by

\frac{54600}{177100} = \frac{78}{253} = 0.31

4 0
2 years ago
Maria is making paper flowers as decorations for the fall dance. She has made 40 flowers so far, and she is 16% finished. If she
alexandr1967 [171]

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

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Hence, the number of additional she needed is 135

5 0
2 years ago
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte
xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.  

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

5\%=\frac{5}{100}=0.05  

When compounded annually, n=1:

A=4500(1+\frac{0.05}{1})^{1\cdot 10}

A=4500(1.05)^{10}

A=4500(1.6288946267774414)

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When compounded quarterly, n=4:

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When compounded monthly, n=12:

A=4500(1+\frac{0.05}{12})^{12\cdot 10}

A=4500(1.00416666)^{120}

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When compounded daily, n=365:

A=4500(1+\frac{0.05}{365})^{365\cdot 10}

A=4500(1.0001369863013699)^{3650}

A=4500(1.6486648137656943695)

A=7418.9916619456\approx 7419.00

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0
2 years ago
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