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3 years ago

How to determine if an expression is rational or irrational?

1 answer:

4 0

If it is rational, it has a terminating decimal or a repeated decimal number (ex. 56, or 1.25, or 3.666...)

If it is irrational, it is an ongoing number with no pattern (ex. 3.14159265... Which is pi)

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The distance from Earth to the sun is about 9.3 × 10 7th power miles.

AURORKA [14]

Answer:

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

Solution:

Given, the distance from Earth to the sun is about $9.3 \times 10^{7} \mathrm{miles}$

The distance from Earth to the Moon is about $2.4 \times 10^{5} \mathrm{miles}$

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

$\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5$

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0

3 years ago

Which ordered pairs are in the solution set of the system of linear inequalities? y > x y < x + 1 (5, –2), (3, 1), (–4, 2)

steposvetlana [31]

To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

plug into y>x

-2>5

which is clearly false.

plug into y<x+1

-2<5+1

or -2<6

which is also false.

hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

Hence answer will be "No Solution from given choices".

5 0

3 years ago

Read 2 more answers

The table shows the heights in feet of serval students in Mrs.Patels class.

Margarita [4]

I will need a picture of the table first

8 0

3 years ago

In what time will Rs. 5600 amount to Rs. 6720 at 8% per annum?

Leona [35]

Answer: 2 years

Step-by-step explanation:

If Interest= Principal x rate x time/100; then time is (100 × Interest)/(Principal × Rate)

From the question, old Principal is 5600, new principal =6720, the difference is the interest accrued.

Interest = 6720 - 5600 = Rs 1120

Rate = 8% = 8 ÷ 100 = 0.08

Time = x

Then, slot the values into the formula

Time= 100 x 1120 / 6720 x 8

= 112000/53760

=2.08

Time= 2years

I hope this helps

8 0

3 years ago

Maureen measured a house and its lot and made a scale drawing. The scale she used was

PIT_PIT [208]

The most appropriate choice for unitary method will be given by-

Length of driveway in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to $\frac{1}{8}$ inch on scale

24 feet of room is equal to $\frac{1}{8} \times 24$ inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

3 0

1 year ago