3.174 is closer to 3.2 because, when rounding, 0.07 rounds up to 0.2.
Answer:
multiply by 12: r = 18
Step-by-step explanation:
Use the multiplication property of equality. It tells you that multiplying both sides of an equation by the same value does not change the values of any of the variables. Here we can multiply by 12 and we get ...
r(12/12) = 1.5(12)
Now, the properties of the identity element for multiplication come into play. When we multiply r by 12/12=1, we do not change the value of r, so we can simplify this to ...
r = 18
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We chose to multiply by 12 precisely because 12/12 = 1, and the result on the left side of the equation is r.
<h3>
Answer: Choice A</h3>
0.10d + 0.05n = 2.25
d = 2n
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Explanation:
n = number of nickels
d = number of dimes
we have twice as many dimes as nickels, so we could have something like 18 dimes and 9 nickels. Algebraically we would write d = 18 and n = 9. The equation that fits this is d = 2n. The answer is between A and B at this point.
We rule out choice B since the 0.05d is incorrect. It should be 0.10d to represent the total value of all the dimes.
Choice A is correct
d = number of dimes
0.10d = value of all the dimes in dollars
n = number of nickels
0.05n = value of all the nickels in dollars
0.10d + 0.05n = total value from both coins combined
2.25 = total value from both coins combined
0.10d + 0.05n = 2.25
Answer:
Step-by-step explanation:
- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.
I really hope that this helped :)
