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4 years ago

What fraction of an hour is 5 minutes

Mathematics

2 answers:

Dafna11 [192]4 years ago

8 0

Answer:

1/12

Step-by-step explanation:

Consider an hour as 60 minutes. Then simply divide 5 by 60 and simplify the fraction

Serhud [2]4 years ago

7 0

Answer: 1/12

Step-by-step explanation:

First, we convert one hour to minutes

One hour = 60minutes

Fraction of one hour to 5 minutes

= 5 minutes/60 minutes

= 1/12

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A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle? (1 point) (x + 2)2 + (y + 4)2 = 2

yawa3891 [41]

Answer:

3rd one. The general form of a circle is set equal to the radius squared. So right side is 4 then plug in values until true.

5 0

3 years ago

Read 2 more answers

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

3 years ago

Solve for a<br> 4(a+2) = 8+40

vova2212 [387]

Answer:

Step-by-step explanation:

Do 40+8 first which is 48. then you think "what times four is 48" which is 12. so you need to add something to 2 to make 12. which is 10. A=10 :)

3 0

3 years ago

Read 2 more answers

Dont tell me the Answer but walk me through the steps plz

sveticcg [70]

Answer:

Find the multiplies of 2

7 0

3 years ago

HELP!! And please explain thanks

ohaa [14]

pic the second one to your left and youll find ur answer

7 0

4 years ago