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3 years ago

Question 18 Find the sum in reduced form. 2 5 + 2 3

Mathematics

1 answer:

Kobotan [32]3 years ago

7 0

Answer:

Step-by-step explanation:

Those are fractions, are they not? I'll treat them that way.

$\dfrac{2}{5}+\dfrac{2}{3}$

Find the lowest common denominator.

You need 1 three and 1 five.

2/5 = (2*3)/(5 * 3) = 6 / 15

2/3 = (2*5)/(3*5) = 10 /15

$\dfrac{2}{5}+ \dfrac{2}{3}=$ $\dfrac{6}{15}+\dfrac{10}{15}$

$\dfrac{2}{5}+ \dfrac{2}{3}=\dfrac{16}{15}$ Just add the numerators.

It is reduced. There are other ways to write it

16/15 = 1 1/15 is one of them

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3/5×2/7×2/3<br> Please fallow

olga55 [171]

Answer:

$\frac{12}{105}$

Step-by-step explanation:

$\frac{3}{5}x\frac{2}{7}x\frac{2}{3}$

3x2x2=12

5x7x3=105

$\frac{12}{105}$

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3 years ago

What is the approximate volume of the cone?

KonstantinChe [14]

Answer:

157 cm³

Step-by-step explanation:

Given

Radius (r) = 5 cm

height (h) = 6 cm

Volume of the cone (V) = ?

We have the formula

V = 1/3 *π*r²*h

V = 1/ 3 * 3.14 * 5² * 6

V = 157 cm³

Hope it will help :)

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4 years ago

Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in

kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let $y\in (x-\epsilon,x+\epsilon)$ . then we have that $x-\epsilon$ . Hence, it makes sense to define the positive number delta as $\delta=\min\{x+\epsilon-y,y-(x-\epsilon)\}$ (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ , and if we prove this, we are done. To prove it, let $z\in (y-\delta,y+\delta)$ , then $y-\delta$ . First, $\delta \leq y-(x-\epsilon)$ then $-\delta \geq -y+x-\epsilon$ hence $z>y-\delta \geq x-\epsilon$

On the other hand, $\delta \leq x+\epsilon-y$ then $z$ hence $z$ . Combining the inequalities, we have that $x-\epsilon$ , therefore $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ as required.

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4 years ago

Why does a calculator return an error when trying to find inverse sine of 1.055?

anyanavicka [17]

Sin(x) is a function bounded between -1 and 1. A value greater than 1 or smaller than -1 (-1.1, for instance) does not correspond to any real angle.

It then returns error

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3 years ago

Read 2 more answers

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink

Setler [38]

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

7 0

3 years ago

Read 3 more answers