Tim has a total of 30 nickels and 40 dimes.
Linear equations are the equations which consist of two or more variables having the exponent of the variable equals 1.
Total number of coins in the Tim's piggy bank = 70 coins
Let d be the number of dime coins and n be the number of nickel coins.
So d + n = 70
Total dollars = $5.50
10 dimes = 1 dollar
1 dime = 1/10 dollar = 0.1 dollar
20 nickels = 1 dollar
1 nickel = 1/20 dollar = 0.05 dollar
0.1 d + 0.05 n = 5.50
So we have two linear equations here : d + n = 70 and 0.1 d + 0.05 n = 5.50.
d + n = 70 ⇒ d = 70 - n
Substituting d = 70 - n in the equation 0.1 d + 0.05 n = 5.50,
0.1 (70 - n) + 0.05 n = 5.50
(0.1 × 70) - 0.1n + 0.05n = 5.50
7 - 0.05n = 5.50
-0.05n = -1.5
n = 30
So d = 70 - n = 70 - 30 = 40
Hence the number of nickel coins is 30 and number of dime coins is 40.
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Answer:
0.1 = 4.73. Dividing 47.3 by one tenth you get 473.
Answer:
Carbon
Step-by-step explanation:
Carbon is a non metal but Graphite is a pretty good conductor of electricity which is an allotrope of Carbon. There are delocalised electrons which are free. These are responsible for conduction.
These arise because each carbon atom is only bonded to 3 other carbon atoms. The structure of Graphite provides for this arrangement. This leaves 1 electron to become delocalised.
Thus Graphite can be used for electrodes in batteries and for electrolysis.
The measure of ∠B is 119°.
An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacentside which is not extended.
All the exteriorangles are of the same measure, and therefore, their measure is (360/n)°.
The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes ∠C=68°
Then;
a+c+51°= 180°
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
Now,
a+b = 180°
61+b = 180
b = 180-61
b = 119°
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Answer:
119
Step-by-step explanation:
100 on edge