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3 years ago

The product of two fractions is 2/3. One fraction is 3/5. what is the other fraction

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

10 / 9

Step-by-step explanation:

Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3

We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:

5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3

This simplifies to:

x = 10 / 9

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3 x 2/5 Multiplying Fractions

Softa [21]

Answer: 6/5 or 1 1/5 <--- (SIMPLIFIED)

~hope this helped, have a gr8 day/night my friend!~

Step-by-step explanation:

3 0

3 years ago

Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 First, he combined like terms in the numerator

shtirl [24]

Micah was asked to add the following expressions:

$\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}$

First, he combined like terms in the numerator and kept the common denominator

First step is correct. He added the like terms in the numerator, because the denominators are same.

$3x^2 -x -9 -2x^2+2x+5becomes x^2 +x -4$

So he got , $\frac{x^2+x-4}{x^2+3x+2}$

In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2

If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.

So Micah added the expression incorrectly. Final answer is not correct.

5 0

3 years ago

Use algebra to find the point at which the line h(x)=−(3/5)x+(7/5) intersects the line k(x)=(−8/3)x+(404/45).

Inga [223]

Answer: the point (3.667, 0.8)

Step-by-step explanation:

We want to find the point at which the lines:

h(x) = -(3/5)*x + (7/5)

and

k(x) = (-8/3)*x + (404/45)

If the lines intersect, then we must have:

h(x) = k(x)

if we write the functions we get:

-(3/5)*x + (7/5) = (-8/3)*x + (404/45)

Now we need to solve this for x.

-(3/5)*x + (8/3)*x = (404/45) - (7/5)

(8/3 - 3/5)*x = 404/45 - 63/45 = 341/45

(40/15 - 9/15)*x = 341/45

(31/15)*x = 341/45

x = (341/45)*(15/31) = 3.667

Now we can input this value of x in the functions to get the output.

h(3.667) = -(3/5)*3.667 + 7/5 = -0.8

Then the point where our points intersect is the point (3.667, 0.8)

4 0

3 years ago

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in h

Vlad [161]

Answer:

Step-by-step explanation:

I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as

$y=1963.56(1.14)^x$ which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:

$y=1963.56(1.14)^{12$ which gives us, in the end,

y = 9460

4 0

3 years ago

If the circumference of a circle measures 25.12cm, what is the area of the circle in terms of pi?

kiruha [24]

Answer:

Step-by-step explanation:

The formula for circumfrance is 2*(pi)*R and the formula for area is (pi)* R^2 or (pi) R-squared.

Circumfrance is 25.12 so....

25.12 = 2 * (pi) R........ you want to find R because you need it to find the area

R is about 4; it is 3.99797 .

You use the R that you goot from cirdumfrance to find area.

Area = (pi) (4)^2 = 50. 265

or is you prefer a more precise answer, Area = 50.2145

4 0

3 years ago