Q + d = 63....q = 63 - d
0.25q + 0.10d = 10.80
0.25(63 - d) + 0.10d = 10.80
15.75 - 0.25d + 0.10d = 10.80
-0.25d + 0.10d = 10.80 - 15.75
-0.15d = -4.95
d = -4.95/-0.15
d = 33 <=== 33 dimes
q + d = 63
q + 33 = 63
q = 63 - 33
q = 30 <=== 30 quarters
Answer: y= -1/4
Step-by-step explanation: _4y+8=9
-4Y=1 subtract the 8 (-8) from both sides
divide 4 by both sides and get -1/4
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.
It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.
If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.
9514 1404 393
Answer:
Step-by-step explanation:
The interior angle of the m-gon is ...
m-interior = 180 -360/m
The exterior angle of the k-gon is ...
k-exterior = 360/k
The required relationships are ...
m = 3k
m-interior = 14/3(k-exterior)
Substituting for m, we can write the latter relation as ...
(180 -360/(3k)) = 14/3(360/k)
Multiplying by 3k/180, we have ...
3k -2 = 28
k = (28 +2)/3 = 10
The values of k and m are 10 and 30, respectively.
_____
<em>Check</em>
The interior angle of the m-gon is 180 -360/30 = 168 degrees.
The exterior angle of the k-gon is 360/10 = 36 degrees.
The angle ratio is 168/36 = 14/3 as required.
Answer:
y-intercept: (0,5); x-intercept: (5/2, 0)
Step-by-step explanation:
The equation of the line is given: -4x + 7 = 2y - 3.
To find the x-intercept, set y = 0 and solve for x:
-4x + 7 = 0 - 3. This becomes -4x = -10, or x = 5/2. The x-intercept is (5/2, 0).
To find the y-inercept, set x = 0 and solve for y:
0 + 7 = 2y - 3, or 2y = 10, or y = 5. Then the y-intercept is (0, 5).
