Answer:
48 ways
Step-by-step explanation:
There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.
The equation which represents the circle is x²+(y-3)²=36. The correct option is A.
Given that the circle have diameter 12 units and a center that lies on the y-axis.
A circle is a closed curve drawn from a fixed point called the center, and all points on the curve are equidistant from the midpoint of the center.
The standard form for finding the equation of a circle is expressed in the form is
(x-a)²+(y-b)²=r² ......(1)
Where (a,b) is the center and r is the radius.
Given that the diameter is 12.
So, the radius is 12/2=6
It is also given that center lies on the y-axis therefore the center will be (0,3).
Now, we will substitute these values in equation (1), we get
(x-0)²+(y-3)²=6²
x²+(y-3)²=36
Hence, the equation which represents the circle with diameter 12 units and center lies on the y-axis is x²+(y-3)²=36.
Learn more about the equation of circle from here brainly.com/question/24810873
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Answer:
the seven consecutive numbers would be 23 24 25 26 27 28 29
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
let number of questions in the test be x
9 of the first 10 questions are correct
so only x-10 questions remain
3/10 of the (x-10) = 3/10(x-10) questions are correct
scored 50% for the whole test
so only half of x = x/2 questions are correct
combining the above:
9+3/10(x-10) = x/2
9+3/10x-3=x/2
9-3=(1/2-3/10)x
1/5x=6
x=30
75x+35≥7(11x+9)+475x+35≥7(11x+9)+4
75x+35≥77x+63+475x+35≥77x+63+4 [expand all blackets]
75x+35≥77x+6775x+35≥77x+67 [collect like terms]
−2x+35≥67−2x+35≥67 −2x≥32−2x≥32 [subtract 77x through]
x≤−16x≤−16 [subtract 35 through and divide through by 2]
