A dime = 0.10
A nickel = 0.05
N + D = 28 coins
Rewrite this as N = 28 -D
0.10D + 0.05N = 1.95
Replace N withe the rewritten equation above:
0.10D + 0.05(28-D) = 1.95
Use the Distributive Property:
0.10D + 1.4 - 0.05D = 1.94
Add the like terms:
0.05D + 1.4 = 1.95
Subtract 1.4 from both sides:
0.05D = 0.55
Divide both sides by 0.05
D = 0.55 / 0.05
D = 11
Nickels = 28 - 11 = 17
There are 11 dimes and 17 nickels.
Answer:
-2 and 6
Step-by-step explanation:
-2+6=4
-2×6=-12
Answer:
2.25π in²
Step-by-step explanation:
The area can be found from the circumference using the formula ...
A = C²/(4π)
Putting in the given dimension, you have ...
A = (3π)²/(4π) = (9/4)π = 2.25 π . . . . in²
Answer:
Smaller Figure 3
Larger Figure 5
Scale factor = 15/25 = 3/5
<span><span>DO use multiplication sign '*' (the STAR) symbol. For the simplifier, xy is NOT the same as x*y or yx. Simplifier thinks that xy is a separate variable. Good example: x*y-y*(x+2). Bad example: xy-y(x+2).</span>DO use '*' when multiplying a variable by an expression in parentheses: x*(x+2). Otherwise, my simplifier will think that you are trying to use a function and will become confused.Use parentheses liberally to avoid any ambiguity. (x+y)/(x-y) is NOT the same as x+y/x-y. x+y/x-y means x+(y/x)-y.</span>Operations<span>Use '*' (STAR) for multiplication. 2*3 is legal, 2x3 will be misunderstood.Use '^' (CARET) for power. 2^3 means 2 to degree of 3, or 8.Use '/' (FORWARD SLASH) for divisionOnly '(' and ')' (parentheses) are allowed for grouping terms. Curly or square brackets are used for other purposes.</span>
Operation priority: + and - have lowest priority, * and / h
Good Examplesx*y-x*(y+2) <-- '*' is used for multiplications
a^b*3 <-- means (a to the degree of b) multiplied by 3
Bad examples<span>xy-yx <-- variable xy and variable yx are different variables
y(x-2) <-- simplifier will think that it is function y of x-2.</span>
