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geniusboy [140]
3 years ago
10

Can you find the numbers as powers with the given bases as your clue? Example: the number is 64 and the base is 4. I test 4x4=16

Then 16x4=64 So my power must be 43 because 4x4x4=64. Now you try... 1. It has a value of 32; it has a base of 2 2. 81, base 9 3. 81, base 3 4. 100, base 10
Mathematics
1 answer:
Flura [38]3 years ago
7 0

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

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Tom works 14 hours a week for 10 weeks and earns a total of $1,351.00. How much money does he make per hour?
vagabundo [1.1K]
14 hours a week
works 10 weeks

totally  14 \frac{hours}{week} \ *\ 10 weeks\ =\ 140\ hours

earns $1,351

so \frac{1,351}{140}  \frac{\$}{h} =9,65

He makes $9,65 per hour.

M


6 0
4 years ago
Simplify 3 / 8 (–2 / 7 +(–3 / 8 ×2 / 5)​
artcher [175]

Answer:

so the answer is 0.16339

5 0
3 years ago
I need some help with trigonometry, will mark brainliest.
lisabon 2012 [21]

Answer:

84

Step-by-step explanation:

3 0
3 years ago
A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal
Illusion [34]

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt

7 0
4 years ago
Brian likes to go bird watching along the Harvest Park Trail in a nearby forest preserve. He wants to calculate the area enclose
QveST [7]

The question has missing details

The m<em>issing options are: </em>

<em>A. 188,000 square yards </em>

<em>B. 138,000 square yards </em>

<em>C. 600 square yards </em>

<em>D. 300 square yards</em>

<em>See attachment 1 for the missing diagram</em>

Answer:

<em>B. 138,000 square yards </em>

Step-by-step explanation:

The figure can be divided into two shapes (see attachment 2)

From attachment 2,

The dimension of the big rectangle is 1300ft by 800ft

The dimension of the small rectangle is 500ft by 400ft

So, the area is:

Area of the big rectangle added to the area of the small rectangle

i.e.

Area = 1300 * 800 + 500 * 400

Area = 1040000 + 200000

Area = 1240000ft^2

Convert to yd^2 by dividing by 9

Area = 1240000yd^2 /9

Area = 137777.777778\ yd^2

<em>From the list of given options, the closest to the area of the diagram is </em>

<em>B. 138,000 square yards  </em>

<em></em>

8 0
3 years ago
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