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2 years ago

8

An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be do

ne?

1 answer:

DanielleElmas [232]2 years ago

8 0

Let n = 12
Let r = 6
Replace every n! with 12 and every r! with 6 and then do the math.
nCr = 12!/[(12 - 6)!*6!]
nCr = 479001600/(720)(720)
nCr = 479001600/518400
nCr = 924
There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates

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The Helheim glacier in Greenland enters the ocean in a 6.3 kilometer wide fjord. The terminus of the glacier retreated 7.5 kilom

vladimir1956 [14]

Answer:

7.56 km²

Step-by-step explanation:

Given data:

Width of the fjord, w = 6.3 km

Retreated terminus of the glacier between may 2001 and June 2005, d = 7.5 km

thus, the length lost , y = 7.5 - 6.3 = 1.2 km

now, the area is given as:

A = Length × width

on substituting the values, we get

A = 1.2 × 6.3

or

A = 7.56 km²

Hence, the surface area lost by the glacier in the fjord is 7.56 km²

7 0

3 years ago

For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4

galina1969 [7]

Given:

Given the inequalities:4

$\begin{gathered} 4x+3>0 \\ 9x-5$

Required: Identify the inequality in which x = 8 is a solution.

Explanation:

Substitute 8 for x in each inequality and check whether it satisfies the inequality.

Consider 4x + 3 > 0.

$4\cdot8+3=35>0$

So, x = 8 satisfies the inequality 4x + 3 > 0.

Consider 9x - 5 < 100.

$9\cdot8-5=67$

So, x = 8 satisfies the inequality 9x - 5 < 100.

Consider x + 4 ≤ 10.

$8+4=12>10$

So, x = 8 not satisfies the inequality.

Consider 72 ÷ x ≥ 4.

$72\div8=9\ge4$

So, x = 8 satisfies the inequality.

Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.

5 0

9 months ago

4(5x+1)-3x help me, I need help with algebra.

cricket20 [7]

Answer:

17x+4

Step-by-step explanation:

4(5x+1)-3x

20x+4-3x

17x+4

4 0

2 years ago

Read 2 more answers

Write a whole number that rounds to 10,000 if we are rounding to the nearest ten thousand

Inessa [10]

If you were to round it, a possible answer could be 9,997

8 0

2 years ago

The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z

dimaraw [331]

Answer:

$VW = 33$

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

$VY = 4x - 1$

$VW = 5x + 3$

$Perimeter = 112$

Required

Determine the length of VW

Perimeter is calculated as:

$Perimeter = 2 * (Width + Length)$

This gives:

$Perimeter = 2 * (VW + VY)$

Substitute values for VW, VY and Perimeter

$112 = 2 * (4x - 1 + 5x + 3)$

Collect Like Terms

$112 = 2 * (4x + 5x -1 +3)$

$112 = 2 * (9x +2)$

Divide through by 2

$56 = 9x + 2$

Collect Like Terms

$9x = 56 - 2$

$9x = 54$

$x = 54/9$

$x = 6$

Substitute 6 for x in $VW = 5x + 3$

$VW = 5 * 6 + 3$

$VW = 30 + 3$

$VW = 33$

4 0

2 years ago