Answer:
25 dimes & 12 nickels
Step-by-step explanation:
Let there be "n" nickels and "d" dimes
Total, there are 37 of them, so we can write:
n + d = 37
Also, valueof nickel is 0.05 and value of dime is 0.10 (in dollars) and total value of these 37 coins is 3.10, so we can write:
0.05n + 0.10d = 3.10
Now we can write first equation as:
n + d = 37
n = 37 - d
Replace this into equation 2 and solve for d:
0.05n + 0.10d = 3.10
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25/0.05
d = 25
Now, n = 37 - d, n = 37 - 25 = 12
So,
There are 25 dimes & 12 nickels
Answer:
x=7
Step-by-step explanation:
8x +3 = 59
8x= 56
/8
x = 7
You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2
Square 8 and 11.
64 + b^2 = 121
Subtract 64 from 121
121 - 64 = 57
The new equation is:
b^2 = 57
Now take the square root of both sides to get b by itself.
b = about 7.5
Answer: The height of the triangle is 7.5
***** Note: I rounded the answer ********************************************
Answer:
x = 25 ft
Step-by-step explanation:
here we see the student standing and creating a small triangle that is equivalent to the big triangle since it has the same angles, the only difference is that its smaller, so what we have to do is make a proportion of both triangles, so since 8 ft correspond with the 40 ft they're going to be in the same part of the proportion and the other measurements, including x, on the other part, so itll be 5/8 and x/40, see how the 8 and 40 are both on the bottom? thats because they correspond, so now all you have to do is cross butterfly, so you can set up an expression on 8x= 5*40 or you can just multiply 5*40 and then divide by 8, your answer will be x= 25 ft
