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Nezavi [6.7K]
2 years ago
7

Math help. you could just answer the inequality and I can do the rest but it would be helpful you you could answer both.

Mathematics
1 answer:
REY [17]2 years ago
7 0

Answer:

Answer is first line

Step-by-step explanation:

-7(x+9) >= 37+3x

Going to solve for x:

-7x - 63 >= 37 + 3x

-7x - 3x >= 37 + 63

-10x  >= 100

x <= 100/-10       (notice the change in equality because we divided by negative)

x <= -10

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A certain mathematics contest has a peculiar way of giving prizes. Five people are named as Grand Prize winners, but their finis
bixtya [17]

Answer:

The number of complete award announcements possible are 19,554,575,040.

Step-by-step explanation:

Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.

The number of people entering this year is 22.

The number of ways to select 5 people for Grand Prize is, {22\choose 5}=\frac{22!}{5!(22-5)!} =26334.

The remaining number of people is, 22 - 5 = 17.

It is provided that the other 5 are selected according to an order.

The number of ways to select other 5 winners is,

^{17}P_{5}=\frac{17!}{(17-5)!} =742560

The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

6 0
3 years ago
9 3 -3/4 -10 1/2 -1.75 least to greatest
Mazyrski [523]

-10, -1.75, -3/4, 1/2, 3, 9

_____________________________

-3/4 converts to -0.75,

and 1/2 converts to 0.5. With -10 being farthest from zero on the number line, it would be the smallest. -1.75 would be the second smallest. Keeping in mind that -3/4 converts to -0.75, it would be the 3rd smallest. 1/2, or 0.5 would be greater, as it is the smallest POSITIVE number. Then you do 3, as it as a whole number, but still not the greatest. 9 would be the greatest.

hope i was helpful;-)

5 0
3 years ago
How to do the problem
trapecia [35]

Step-by-step explanation:

g(0.5) = 2 \\  \\ h(x) = g(x).f(x) \\  \therefore \: h(2) = g(2).f(2) \\  \therefore \: h(2) = 5 \times 2\\ \therefore \: h(2) = 10\\  \\ \\  j(x) = g(x) - f(x) \\  \therefore \: j(4) = g(4) - f(4) \\  \therefore \: j(4) = 9 - 8\\ \therefore \: j(4)  = 1\\  \\  \\

4 0
3 years ago
Calculate the surface area of the figure below.
valentinak56 [21]

Answer:

a. 1,275.49 m²

Step-by-step explanation:

SA = 2πr² + 2πrh

SA = 2π(7)² + 2π(7)(22)

SA = 98π + 308π

SA = 406π

SA ≈ 1,275.49 m²

8 0
3 years ago
What number replaces the ◊?
PolarNik [594]

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

3 0
3 years ago
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