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>
To find the distance between the points given in the figure of the problem above, you must apply the formula for calculate the distace between two points, which is shown below:
d=√[(x2-x1)^2+(y2-y1)^2]
When you substitute the values, you obtain:
d=√[(x2-x1)^2+(y2-y1)^2]
d=√[(-1-2)^2+(-5-5)^2]
d=10.4
The answer is:10.4
Answer:
No
Step-by-step explanation:
5+7=12
12>13 X
13+5=18
18>13 YES
13+7=20
20>5 YES
If all equations were true, it would make a triangle, but since only 2 are true, it doesn't make a triangle.
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hope it helps
Answer:
no. i do not think so.
Step-by-step explanation:
