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musickatia [10]
3 years ago
15

If it takes 15 machines 15 minutes to make 500 raviolis how long would it take 75 machines to make 6000 raviolis

Mathematics
1 answer:
vichka [17]3 years ago
4 0
I believe the answer is 36 minutes
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The first five terms of a pattern are shown.
Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

6 0
4 years ago
What is the solution to log Subscript 5 Baseline (x + 30) = 3
GarryVolchara [31]

Answer:

The correct option is option (d).

Step-by-step explanation:

Logarithms are used basically to express large number.

Rules:

  • log_a(M.N)= log_aM+log_aN
  • log_a(\frac{M}{N})= log_aM-log_aN
  • log_a(M^k)=klog_aM
  • log_a(1)=0
  • log_a(a)=1
  • b^{log_{b}k}=k
  • log_ab=c \Leftrightarrow b=a^c

Here given that,

log_5(x+30)=0

Applying the last rule

\Rightarrow (x+30)= 5^3

\Rightarrow x+30 = 125

⇒x=125-30

⇒x=95

Therefore x=95.

5 0
4 years ago
Read 2 more answers
Please help me solve this
Lelechka [254]

Answer:

The measure of angle x is 115 degrees

Step-by-step explanation:

Supplementary angles are angles which, when added together, equal 180 degrees. So, subtracting 65 from 180 would get you the answer(115).

7 0
4 years ago
A regular hexagon has a diameter of 22 inches. What is the length of the apothem?Round your anwser to the nearest tenth
Ostrovityanka [42]

when you round it off ot will be 30 inches

7 0
3 years ago
What is the equation
jonny [76]
An equation is a number sentence with any letter of the alphabet as a variable. for example 3 + y = 6. In this case, y =3






:) Hope this helped.
5 0
3 years ago
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