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Nikolay [14]
3 years ago
12

In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to ________.

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer: n = 4

Step-by-step explanation:

n is always equal to the number of times 10 could be raised to so as to make a total of the number in question.

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joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of
kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90.  Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n  + 2q = 76 as n + q = 38, or n = 38 - q.  Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

  570 - 15q + 35q = 890, or

   570 + 20 q = 890.  Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters.  Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0
2 years ago
What does -4(-8x-8) equal?
slavikrds [6]

Answer:

Lets break it down

( -8 x -8 ) = 64, because a negative x negative always equals a positive

-4 x 64 = -256, because a negative x positive always equals a negative

Your answer is -256.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
8 0
3 years ago
Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 444 doses, and each measles vacci
nataly862011 [7]

Answer:

37 polio vaccinations and 23 measles vaccination.

Step-by-step explanation:

Let the number of polio vaccination given=x

Let the number of measles vaccination given=y

Dr. Potter gave a total of 60 vaccinations

x+y=60

Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.

4x+2y=184

To find the values of x and y, we solve the two equations simultaneously.

x+y=60             (1)

4x+2y=184        (2)

From (1), x=60-y

Substitute x=60-y into equation 2.

4x+2y=184

4(60-y)+2y=184

240-4y+2y=184

240-184=4y-2y

56=2y

Divode both sides by 2

y=23

Recall earlier that x=60-y

x=60-23=37

Dr Potter gave 37 polio vaccinations and 23 measles vaccination.

6 0
3 years ago
Temperature and salinity both influence the movement of water in deep-ocean currents. What type of pattern do deep-ocean current
SCORPION-xisa [38]
The answer is D. Because the deeper you go in the ocean the colder it gets, and it also gets higher salinity.
8 0
3 years ago
Read 2 more answers
Pls help I don’t know this is well
alexgriva [62]

Answer:

they are corresponding angles

6 0
2 years ago
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