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vesna_86 [32]
2 years ago
5

A sequence is formed by adding 1 to each square number.

Mathematics
1 answer:
MrRa [10]2 years ago
6 0

Answer:

32 nd term

Step-by-step explanation:

The formula for the sequence is

n² + 1 ( that is 1 added to each square number )

Equate to 1025 and solve for n

n² + 1 = 1025 ( subtract 1 from each side )

n² = 1024 ( take the square root of both sides )

n = \sqrt{1024} = 32

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Mr and Mrs Thomas buy tickets for themselves and their four children The cost of an adult ticket is £7 more than the cost of a c
Evgen [1.6K]

Let's call the prices a and c, a for adult...

The cost of an adult ticket is £7 more than the cost of a child ticket:

a = 7 + c

The total cost of the six tickets is £86.

86 = 2a + 4c

c = a-7

86 = 2a + 4(a-7) = 6a - 28

114 = 6a

a = 19

Answer: £19

Check:

That implies c=12.

2a+4c = 2(19)+4(12) = 38 + 48 = 86, good

8 0
2 years ago
Last week, burton paid $36.80 for 11 1/2 gallons of gas this week he bought 9 1/4 gallons of gas. The cost per gallon of gas inc
Sedbober [7]

Answer:

Step-by-step explanation:

Last week, burton paid $36.80 for 11 1/2 gallons of gas. Converting 11 1/2 gallons of gas to decimal, it becomes 11.5. The rate at which Burton bought one gallon of gas last week would be

36.80/11.5 = $3.2

The cost per gallon of gas increased by 5% between last week and this week. The amount by which it increased would be

5/100 × 3.2 = 0.05 × 3.2 = $0.16

The cost of one gallon of gas for this week would be

3.2 + 0.16 = $3.36

She bought 9 1/4 gallons of gas this week. Converting 9 1/4 gallons of gas to decimal, it becomes 9.25 gallons of gas. The amount that she paid for gas this week would be

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8 0
2 years ago
Read 2 more answers
Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
2 years ago
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The town of Worman Grove collected 9,645 blue pens and 18, 836 black pens for a school supplies drive. Their goal is to have 30,
Sonbull [250]

Answer:

1519 pens

Step-by-step explanation:

add 9,645 to 18,836 and then subtract that number from 30,000

6 0
2 years ago
Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50 each and candies for $4 each. J
Lisa [10]

Answer:

There are no possible solutions for this question.

Step-by-step explanation:

3 0
2 years ago
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