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3 years ago

Find the the simplest form of 325/1000

2 answers:

8 0

$as\ decimal:\frac{325}{1000}=0.325\\=====================\\divide\ the\ numerator\ and\ the\ denominator\ by\ 25:\\\\325:25=13\\1000:25=40\\\\therefore\ \frac{325}{1000}=\frac{13}{40}$

Dmitriy789 [7]3 years ago

4 0

First, find the GCF, or greatest common factor, of the numerator and denominator. If one number ends in 25 and the other ends in 00, then a factor of both is 25:
325/25 = 13
1000/25 = 40
Our new fraction is 13/40, and, seeing as that has a prime number, 13, it cannot be simplified, so that is the final answer.
Hope this helps!
~ArchimedesEleven

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A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?

Tju [1.3M]

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

= 5-6/6-9

= -1/-3

= 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

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2 years ago

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

HELP PLZ DUR 11;59 plz help me

Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$

$5h=300$

$h=60$

The height of the triangle is 60 centimeters.

5 0

2 years ago

You bought a blu-ray that cost $28.68 before tax. How much did you have to pay once the 7% sales tax was factored in?

xxTIMURxx [149]

Answer:

You had to pay $30.69 after the sales tax factored in.

Step-by-step explanation:

First step is to find 7% of $28.68.

The answer to that is the sales tax, therefore making the sales tax $2.01.

Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.

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3 years ago

What irrational number is between 4.47 and 4.48?

shepuryov [24]

Answer: √20 is between 4.47 and 4.48

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2 years ago