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3 years ago

How many solutions are there to an inequality?

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer: 3

Step-by-step explanation: There can be none, one, or infinite solutions. Therefore there can be up to three possible solutions to an inequality.

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The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of

VLD [36.1K]

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W) we know W = L-7

446 = 2(L) + 2(L-7)

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108

5 0

3 years ago

Read 2 more answers

How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?

trasher [3.6K]

Answer:

Total number of ways are 336.

Step-by-step explanation:

It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find $^8P_3$ .

Here, r = 3

So,

$^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336$

So, there are 336 ways.

6 0

3 years ago

Express 2 as a percentage (no links please)

lys-0071 [83]

2 is equivalent to 200%

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
2 × 100/100

= (2 × 100) × 1/100= 200/100

percentage in notation is : 200%

7 0

3 years ago

Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses

Monica [59]

Answer:

$(a)\ 6m(3m + 21) = 9(2m^2 + 14m)$