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Ilia_Sergeevich [38]
3 years ago
11

10y less than or equal to 12x

Mathematics
2 answers:
sattari [20]3 years ago
7 0

10y less than or equal to 12x

10y <= 12x

Lady bird [3.3K]3 years ago
3 0

Answer:


Step-by-step explanation:

10y  ≤ 12x

hope this helps. I don't know any other way to write it. (:

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(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated! ​
Andrei [34K]

Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

4) Simplify 1 + x - 8 to x - 7.

1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

6) Use Change of Base Rule.

\frac{ log_1  }{  log{27} }  = x - 7

7) Use rule of 1: log 1 = 0.

\frac{0}{ log_{27}}  = x - 7

8) Simplify 0/log_27 to 0.

0 = x - 7

9) Add 7 to both sides.

7 = x

10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0
3 years ago
What is one<br>plus two?​
alexdok [17]

Answer:

one plus two is three

Step-by-step explanation:

1+2 = 3

8 0
3 years ago
Read 2 more answers
3.4x-7.2=5.8x+24 <br> I need help
notka56 [123]
3.4x - 7.2 = 5.8x + 24
3.4 - 5.8x = 24 + 7.2
-2.4x = 31.2
-2.4x / -2.4 = 31.2 / -2.4
x = -13
4 0
3 years ago
Find common ratio and series sum
Artyom0805 [142]

Answer:

Her total harvest over the

first 5 years that she owns the farm is 11277 kg

Step-by-step explanation:

Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.

As she gets better at planting, fertilizing and pest control,

each year her harvest increases by 3%.

So,

In First year

She owns 90,000 kg

In Second year

She owns 90,000 kg and her harvest is increases by 3%.

i.e.,

90000 × 3 ÷ 100 = 2700

So, The increase in 90,000 kg kale is 2,700

Now,

90,000 + 2,700 = 92,700 kg

In Third year

She owns 92,700 kg and her harvest is increases by 3%.

i.e.,

92700 × 3 ÷ 100 = 2781

So, The increase in 92,700 kg kale is 2781

Now,

92,700 + 2,781 = 95,481 kg

In Fourth year

She owns 95,481 kg and her harvest is increases by 3%.

i.e.,

95481 × 3 ÷ 100 = 2846

So, The increase in 95,481 kg kale is 2846

Now,

95,481 + 2,846 = 98,345 kg

In Fifth year

She owns 98,354 kg and her harvest is increases by 3%.

i.e.,

98354 × 3 ÷ 100 = 2950

So, The increase in 98354 kg kale is 2950

Now,

98354 + 2950 = 101,295 kg

Now,

In First five years She owns

2700 + 2781 + 2846 + 2950 = 11277 kg

Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg

<u>-TheUnknownScientist</u>

6 0
3 years ago
Last season a Major League Baseball player got 160 hits in 200 times at bat. If the player expects to bat 400 times in the entir
zimovet [89]

Answer:

He's expected to hit 320 times.

Step-by-step explanation:

To solve this problem we first need to compute the ratio at which he hit the ball in the last season, to do that we need to divide the number of hits by the number of tries. We have:

ratio = number of hits/ number of tries

ratio = 160/200 = 0.8

Since he's expected to bat 400 times if he maintains the same ratio in this season he'll hit:

number of hits = (number of tries)*ratio

number of hits = 400*0.8 = 320

He's expected to hit 320 times.

8 0
3 years ago
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