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3 years ago

11

Find the quotient 3(927

1 answer:

tamaranim1 [39]3 years ago

7 0

The quotient of 3 and 927 is 1/309.

In order to find the quotient of these two numbers, divide the first by the second.

3/927.

You can simplify this fraction by dividing each number by 3.

1/309

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Using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Mazyrski [523]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

$\frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6}$

8 0

3 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

What does 4 3/10 equal

Dmitriy789 [7]

Using your talking about putting it into an improper fraction. it would be 43/10.

7 0

3 years ago

To subtract two rational expressions that have a common denominator, you simply _____ the numerators.

Gala2k [10]

The answer is subtract.

For example:

$\frac{3x^2 - 3}{x+2} - \frac{x^2+6}{x+2}$

$\frac{3x^2 - 3-x^2-6}{x+2}$

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

4 0

3 years ago

Please help I will mark brainly!!!!

kondaur [170]

2,5,8,11,14 because it’s going by 3’s.

5 0

3 years ago

Read 2 more answers