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3 years ago

George's total points is 5 less than susan's total points. Does geroge need more points or fewer susan points?

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer: Need more points.

Step-by-step explanation:

If George's total point is 5 less than susan's points then George needs more points to make up to susan or pass susan's points.

For example ,

g = s - 5 where g is George's points and s is susan's point.

As you can see for G to catch up with s you will need 5 more points.

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A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where

$u_{1}$ is the first term
d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is $u_{n}=u_{1}r^{n-1}$ , where

$u_{1}$ is the first term
r is the common ratio between each two consecutive terms $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∵ $u_{1}$ of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ $u_{2}$ , $u_{3}$ , $u_{6}$ are the first 3 terms of a geometric sequence

∵ $u_{2}$ = 1 + (2 - 1)d

∴ $u_{2}$ = 1 + d

∵ $u_{3}$ = 1 + (3 - 1)d

∴ $u_{2}$ = 1 + 2d

∵ $u_{6}$ = 1 + (6 - 1)d

∴ $u_{2}$ = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

(1 + 5d)

∵ The common ratio in the geometric sequence is $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∴ $r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

- Use cross multiplication with the equal fractions

∵ $\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0

3 years ago

3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. T

Serga [27]

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2 6^2π= 36π A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b) A= πr^2 18^2 π = 324π

A= πr^2 12^2π = 144π

324 – 144 = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

3 0

3 years ago

Someone solve this. 20 points.

Fiesta28 [93]

Answer:

$15\sqrt{2}$

Step-by-step explanation:

6 0

3 years ago

Find the value of the variable.

NemiM [27]

Answer:

x=y[base side of isosceles triangle]

x²+y²=19²

x=√{19²/2)}

x=13.44

y=13.44

7 0

2 years ago

winthrop Middle School had enrollment of 1,342 and a total of 215 teachers. what was the student teacher ratio for this School w

eimsori [14]

Teachers= 215
Students= 1,342

Student: Techer
= 1,342: 215
= 62.1:1
= $\frac{62.1}{1}$

3 0

3 years ago

Read 2 more answers