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MaRussiya [10]
3 years ago
5

Sabrina rounded the size of the park to the nearest thousands acres. Her estimate was 276,000 acres. What number could be the ex

act numbers of acres?
A 276,543
B 276,479
C 275,424
D 275,289
Mathematics
2 answers:
viva [34]3 years ago
8 0
The correct answer would be ‘B’ because...
A rounds up to 277000
B rounds to 276000
C rounds to 275000
And D rounds to 275000 as well.
Good luck with future problems m8
Gnom [1K]3 years ago
6 0
If the estimate is 276000, the actual number must have been rounded down if it was between 276000 and 276500(non-inclusive), and rounded up if it was between 275500 and 276000(inclusive). The only choice within either of these ranges is B.
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Answer:

n = 60.22

Step-by-step explanation:

Hello

To find Sn, we need to draw out equations for each a₇ and a₁₉

In an arithmetic progression,

Sn = a + (n-1)d

Where Sn = sum of the A.P

a = first term

d = common difference

a₇ = 32

32 = a + (7-1)d

32 = a + 6d ........equation (i)

a₁₉ = 140

140 = a + (19-1)d

140 = a + 18d .........equation (ii)

Solve equation (i) and (ii) simultaneously

From equation (i)

32 = a + 6d

Make a the subject of formula

a = 32 - 6d .....equation (iii)

Put equation (iii) into equation (ii)

140 = (32 - 6d) + 18d

140 = 32 - 6d + 18d

Collect like terms

140 - 32 = 12d

12d = 108

d = 108 / 12

d = 9

Put d = 9 in equation (i)

32 = a + 6(9)

32 = a + 54

a = 32 - 54

a = -22

When Sn = 511

Sn = a + (n - 1)d

Substitute and solve for n

511 = -22 + (n-1) × 9

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=========================================================

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3 years ago
Solve the system of equations below. Enter your answer in the boxes.
Vesna [10]
Simplifying
8a + 12b = 92

Solving
8a + 12b = 92

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b

Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
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Divide each side by '8'.
a = 11.5 + -1.5b

Simplifying
a = 11.5 + -1.5b
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3 years ago
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