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3 years ago

Factor 54+27 using the GCF. The factored expression is ?

Mathematics

1 answer:

galben [10]3 years ago

3 0

Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

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Which problem can be solved by expression 3/8 divided 1/4?

NeTakaya

Answer:

3/8÷1/4=1 1/2

Step-by-step explanation:

I am not sure what you are asking here, So I am gonna explain how you divide this.

So using the KCF method (Keep Change Flip) You would KEEP the first fraction (3/8) and CHANGE the operation (from divide to multiply) then FLIP your second fraction (1/4 to 4/1)

After doing this, it should look like:

3 4

8 1

Now that we got that, you multiply from left to right. 3×4 is 12. 8×1=8.

That should leave you with 12/8. But this is an improper fraction. So you would divide top by bottom to get a mixed fraction.

It should look like this

01. 1 1/2

8 12

Step by step explanation:

8 only goes into 12 one time. So you would subtract 12 by 8, and get 4. From that you would get 1 4/8 but 1 4/8 can be simplified to 1 1/2.

So it is 1 1/2

4 0

3 years ago

I need your help guys !!!!!!!!

Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

Distance between the house and tower is 35 m
The height of the tower is 60 m
The height of the house is 25 m

$\bold{\underline{ Now}}$

Height of the house is 25m

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

Therefore,

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

Now, In Right angled ABC

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

$\bold{ tan Φ = 45 °}$

$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

7 0

2 years ago

What amount will an account have after 1.5 years if $ 8000 is invested at an annual rate of 9%: (i) Compounded weekly (ii) Compo

Nady [450]

Tamam öğretmenim ben bir şey var ya o kadar güzel ki sen benim için çok teşekkür ederiz iyi akşamlar canım çok sıkılıyo çok teşekkür ederiz

5 0

2 years ago

You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?

Anastasy [175]

Answer:

132 g

Step-by-step explanation:

Initial amount = 2112 g
Time = 188 days
Half-life = 47 days

188 days / 47 days = 4 periods

Mercury left after 188 days:

2112 * (1/2)^4 =
2112* 1/16 =
2112/16 =
132 g

4 0

3 years ago

Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests tha

dezoksy [38]

Answer:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. The probability is 0.2029 or 20.29%

c. The probability is 0.2029 or 20.29%

d. The probability is 0.1671 or 16.71%

e. The probability is 0.9975 or 99.75%

Step-by-step explanation:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. Let's use the binomial distribution table, this way:

Binomial distribution (n=10, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

4 0.0384 0.0496

5 0.1059 0.1555

6 0.2029 0.3584

7 0.2668 0.6252

8 0.2301 0.8553

9 0.1176 0.9729

10 0.0271 1.0000

The probability is 0.2029 or 20.29%

c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 0.2029 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

The probability is 0.2029 or 20.29%

d. Let's use the binomial distribution table, this way:

Binomial distribution (n=5, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0026 0.0026

1 0.0294 0.0319

2 0.1351 0.1671

3 0.3109 0.4779

4 0.3576 0.8355

5 0.1645 1.0000

P(0) + P(1) + P (2) = 0.0026 + 0.0294 + 0.1351

The probability is 0.1671 or 16.71%

e. Using the same binomial distribution table we used in d. we have:

P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

The probability is 0.9975 or 99.75%

7 0

3 years ago