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:
x = 22
y = 32
Step-by-step explanation:
The sum of interior angles in a rectangle is 360° so
100° + 5y + 4x + 2x = 360 add like terms
6x + 4y = 260°
Now, we know that the measure of an inscribed angle in a circle is equal to the half of the arc it sees
so if the arc that 100° sees is equal to 200 then the arc 5y sees would be 160 (because perimeter of a circle is 360°)
if 5y = 160 then y = 32
We said 6x + 4y = 260° since we know what y is equal to now we can replace the value
6x + 4×32 = 260
6x + 128 = 260
6x = 132
x = 22
I think there must be a mistake in answering options but this is how we solve this kind of problems.
Answer:
To me, none of the answers seem correct.
Step-by-step explanation:
x = 30, y = 20 is 100 + 60 + 120 + 100 which is 380 total, so incorrect
x = 2, y = 2 is 10 + 10 + 8 + 100 which is 128 total, so incorrect
x = 60, y = 25 is 125 + 120 + 240 + 100 which is too great, so incorrect
x = 60, y = 52 is too great, so incorrect
Plz let me know what I did wrong if anyone gets the answer...
46
the six is at the top right coner
Answer:
2.46×10^8
Step-by-step explanation:
The decimal point is here
246000000.
Then it must be moved up to here
2.46000000
Those are eight steps from where it was, so to compensate and make sure the number remains the same remove the zeros and multiply by 10^8
Then you have
2.46×10^8
in this case, is the point on the graph (yes or no)