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2 years ago

Write the following decimal number in its equivalent fraction form. Show all work for full credit.

1 answer:

5 0

There is not much that can be done to figure out how to write -0.6 in fraction except literally use with the decimal portion of your number that -.6 means since there are one dishes and sixth the very last digit is the 10th decimal place so we can just say that -.6 for the same as -6/10 .the fraction -6/10 is not reduced to those terms. We can reduce this fashion to lowest terms by dividing both the numerator and denominator by two. Why divide by two? Two is the greatest common divisor or the greatest common factor of the numbers six and 10 so this fraction reduced to lowest term is -3/50 final answer is -0.6 can be written as a fraction -3/5.

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Two life insurance companies determine their premiums using different formulas:

Pie

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0

2 years ago

URGENT PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER ABC factory brought a pile of coal. If the factory burns 1500 kilogram

wolverine [178]

Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
If it burns 1000 kilograms per day, it will take an additional day than planned.

Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) = (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0

1 year ago

Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet

Mumz [18]

Answer:

$296.693\leq x\leq 319.307$

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

$x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }$

Where x' is the sample mean, s is the population standard deviation, n is the sample size and $z_{\alpha /2}$ is the z-score that let a proportion of $\alpha /2$ on the right tail.

$\alpha$ is calculated as: 100%-99%=1%

So, $z_{\alpha/2}=z_{0.005}=2.576$

Finally, replacing the values of x' by 308, s by 17, n by 15 and $z_{\alpha /2}$ by 2.576, we get that the confidence interval is:

$308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307$

6 0

3 years ago

What is the sum of interior angles for a 24-gon

ivanzaharov [21]

Answer:

3960 degrees

Step-by-step explanation:

(24-2)*180=22*180=3960

7 0

2 years ago

Read 2 more answers

Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right and lef

I am Lyosha [343]

So hmm notice the picture below

you're simply being asked to, approximate the area, by using 4 rectangles, like in the graph, it doesn't have to be an exact value, just an approximation, based on the width and height of the rectangles, and getting their area by that

those rectangles are 0.39 radian long, since if you split π/2 in 4 pieces, you get around that much, the last rectangle there is a bit smaller than 0.39.... but they don't have to be 4 rectangles of equal length

so, get the area of the rectangles, based on their width and height, and sum them up

7 0

2 years ago