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Vika [28.1K]
3 years ago
15

Pietro is given a test question asking him to show that the sum of two odd integers is

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:  second option Let (2a +1) be an odd number. Let (2b +1) be a different odd number. Because the sum of these two numbers, 2(a + b + 1), is a multiple of 2, it is an even number.

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Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28    <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

8 0
3 years ago
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GaryK [48]

shovels=3

bucket =7

a_ 3:7

b- 7:3

8 0
3 years ago
A polynomial function is shown below:
professor190 [17]
The polynomial function is shown about between 10 and 15.
3 0
3 years ago
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8-2w=6w-8 help lol!!!!!!!!!!!
NNADVOKAT [17]
W = 2. How do we find this out?

Put "w" as "2". 8-2(2)=6(2)-8
8 - 4 = 12 - 8.

Solve.

4 = 4

Hope this helps! ☺♥
5 0
3 years ago
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Plz help on #17 I’m stuck
AlladinOne [14]
The doorstop is a triangular prism. volume of the triangular prism is the area of the base times the height
area of the base: 1/2 * 10*6=30cm²
height: 2.5cm
Volume: 30cm²*2.5cm=75cm³
weight: 75cm³*8.6g/cm³=645 grams
5 0
3 years ago
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