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RoseWind [281]
3 years ago
6

A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesn’t run on Friday. Ho

w many miles did he run in all
Mathematics
2 answers:
Dafna11 [192]3 years ago
7 0

4 + 5 + 3 + 5 = 17

The jogger ran 17 miles in all.

brilliants [131]3 years ago
5 0
4+5+3+5=17 In total the Jogger runs 17 miles
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12a. Shan has 32 books, including 12 books by his favorite author. Express as a decimal the number of books by his favorite auth
LenaWriter [7]

12a. First expressing as a fraction, Shan has 12/32 books from his favorite author, so:

12/32=3/8=0.375 books from his favorite author

12b. Because the decimal 0.375 isn't a periodical decimal, so it would be a terminating decimal.

5 0
1 year ago
Find all the zeroes of the equation. x4 – 6x2 – 7x – 6 = 0
NeX [460]

Answer:

-2, 3,  -0.5 + 0.866i,   -0.5 - 0.866i.

Step-by-step explanation:

As the last term is -6 , +/- 2 , +/- 3 are possible zeroes.

Try 2:-

(2)^4 - 6(2)^2 - 7(2) - 6 = -28 so  2 is not a zero.

3:-

(3)^4 - 6(3)^2 - 7(3) - 6 = 0 so 3 is a zero.

(-2)^4 - 6(-2)^2 - 7(-2) - 6 =  0 so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  x^2 - x - 6

gives  x^2 + x + 1

x^2 + x + 1

So we have x^2 + x + 1 = 0

x =  [-1 +/- √(1^1 - 4*1*1)] / 2

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

7 0
3 years ago
A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi
grandymaker [24]
The mass of the first shipment at time t is
m_{1}=100( \frac{1}{2} )^{ \frac{t}{10}}

The mass of the second shipment at time t is
m_{2}=100( \frac{1}{2} )^{ \frac{t-3}{10} }

At time t, the ratio of m₁ to m₂ is
\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ =  \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123

Therefore as a percentage,
\frac{m_{1}}{m_{2}} =100*0.8123 = 81.23 \%

Answer: B. 81.2%

4 0
3 years ago
Which equation is equivalent to Two-thirds x minus StartFraction 5 Over 6 EndFraction = negative StartFraction 5 Over 12 EndFrac
MAVERICK [17]

Answer:

The answer is the last one. 2/3x-13/12=-5/12x

Step-by-step explanation:

7 0
3 years ago
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An envelope is 60 centimeters wide. About how many inches wide is the envelope? (1 inch ≈ 2.5 centimeters)
Dima020 [189]

Answer:

60/2.5 = 24 cm

Step-by-step explanation:

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8 0
3 years ago
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