Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
<em><u>Answer:</u></em>
<h2>
5.1 X 10^-7</h2>
<u><em>Reason:</em></u>
It is to the -7 because you would have to move the decimal left (-) 7 times to get the original 0.00000051.
Hope this helps! ;)
The answer is: " 60° " .
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" m∠A = 60° " .
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Explanation:
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Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).
The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.
All triangles by, definition, have 3 (three) angles that add up to "180° " .
Since each of the 3 (three) angles is equal; and the three angles are:
"∠A" , "∠B" , and "∠C" ;
We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
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m∠A = 180° ÷ 3 = 60° .
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The answer is: " 60° " .
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m∠A = " 60° " .
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Answer:
y=-1/2x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-(-2))
y-3=-1/2(x+2)
y=-1/2x-2/2+3
y=-1/2x-1+3
y=-1/2x+2
31/100 represents the yellow marbles because 3/10 = 30/100, 2/10 = 20/100, and 19/100.It all adds up to 69/100 marbles.
