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neonofarm [45]
3 years ago
12

Given RST~ ABC find value of x.

Mathematics
1 answer:
iragen [17]3 years ago
8 0

x + 6 = 2x - 7

subtract x to both sides

6 = x - 7

add 7 to both sides

13 = x

Check:

x + 16

(13) + 6 = 19

2x - 7

2(13) - 7 = 26 - 7 = 19

19=19

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Tyrell read 72 pages in 2 hours. At this rate, how many hours will it take him to read 285 pages?
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It will take Tyrell about 4 hours.
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3 years ago
In experiments where participants were allowed to sleep for an unlimited amount of time, participants tended to sleep 12 or more
Butoxors [25]

Answer:

Sleep debt

Step-by-step explanation:

Also called sleep deficit, sleep debt can be likened to a deficit in the bank such as a loan that must be repaid. The deficit accumulates and will have to balanced or there would be mental or psychological effect on the affected person. Research by The national sleep foundation requires Americans to sleep at least 7.1 hours per day.

There two types of sleep deprivation or sleep deficit: partial sleep deprivation and total sleep deprivation. In Partial sleep deprivation, the person may not get enough sleep per day example not up to 7.1 hours per day. Total sleep deprivation means that the affected person does not sleep for up 24 hours ie a full day.

7 0
3 years ago
St. Patrick's Day Problem Solving
yaroslaw [1]

Answer:

I dont know wow this is hard i think it is 151 but im not sure

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte
Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time(T_{1})=4 years

Time(T_{2})=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

S.I=\frac{P\times R\times T}{100}

S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years  when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

A=P*(1+\frac{R}{100})^t

A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60

A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years  when interest is compounded annually=$ 9034(approx)

4 0
3 years ago
Read 2 more answers
Given that<br> 5x:9=7:3<br> Calculate the value of <br> x
morpeh [17]

Answer:

  • x = 4.2

Step-by-step explanation:

<h3>Given  </h3>
  • 5x:9=7:3
<h3>To find</h3>
  • The value of  x
<h3>Solution</h3>
  • 5x:9=7:3
  • 5x = 7*9/3
  • 5x = 7*3
  • 5x = 21
  • x = 21/5
  • x = 4.2
7 0
3 years ago
Read 2 more answers
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