Please help on question 17 with step by step instructions
Thanks in advance xx

Answers

Answer 1

Answer: Let x = Initial Price

If we increase x by 5%, we are adding 0.05x

Therefore, the new price = x + 0.05x = 1.05x

If the ticket has increased by £2.30, £2.30 is 5% of the initial price, or 0.05x

0.05x = 2.30

x = 2.30/0.05

x = 46

Therefore, the price of the ticket before the increase was £46

You can also check this backwards by doing 46*0.05 = 2.30

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Which of the following is a reasonable estimated answer to the following problem?989,867 ÷ 999*10*100*1,000*10,000Help please?
Janelle takes 3 dance classes each week. Ballet class is 45 minutes long, modern dance is 50 minutes long, and jazz class is 35 minutes long. How many hours of dance class does Janelle have in 2 weeks?
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Point D is on segment SF. If SF is 72 cm and DF is 62, what is the measurement of segment SD ?

The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?

Answers

$LCM(x,y)=60\nGCF(x,y)=6\nx-y=18\n\nLCM(x,y)=(|x\cdot y|)/(GCD(x,y))\n60=(|x\cdot y|)/(6)\n|x\cdot y|=360\n\n\n|x\cdot y|=360\nx-y=18\n\n|x\cdot y|=360\nx=18+y\n\n|(18+y)\cdot y|=360\n|18y+y^2|=360\n18y+y^2=360 \vee 18y+y^2=-360\ny^2+18y+81=441 \vee y^2+18y+81=-279\n(y+9)^2=441 \vee (y+9)^2=-279\ny+9=√(441) \vee y+9=-√(441)\ny=21-9 \vee y=-21-9\ny=12 \vee y=-30\n\nx-12=18 \vee x-(-30)=18\nx=30 \vee x=-12\n\n\boxed{x=30, y=12 \vee x=-12, y=-30}$

What's 30x-9=900????????

Answers

Answer:

30.3

Step-by-step explanation:

909/30 = 30.3

x = 30.3

Answer: 300.3

Step-by-step explanation

30x-9=9000

30x=9009

x= 300.3

What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?

Answers

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = $\sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}$

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = $\sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}$

D1 = $\sqrt{(-5+5)^(2)+(5+1)^(2)}$

D1 = $√(36)$

D1= 6

Calculating the length AC , we have

D2 = $\sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}$

D2 = $\sqrt{(3+5)^(2)+(-1+1)^(2)}$

D2 = $√(64)$

D2 = 8

Calculating the length BC , we have

D3 = $\sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}$

D3 = $\sqrt{(3+5)^(2)+(-1-5)^(2)}$

D3 = $√(100)$

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10

If g(x)=1.5x-3 ,determined if f(x) > g(x) when x = 4

Answers

Answer:

Step-by-step explanation:

hope this helps

Please help! I am unsure how to solve.The density D of water is 3.12*10^-2 tons per cubic foot. The volume V in a lake is 4.266*10^14 cubic feet. Use the formula D=M/V to find the mass M (in tons) of the water in the lake using scientific notation.

Answers

Mass of water in the lake is 1.3309 × 10¹³ tons.

Step-by-step explanation:

Density is defined as mass divided by volume.

Given:

Density of water, d = 3.12 × 10⁻² tons / cubic foot

Volume of the lake, v = 4.266 × 10¹⁴ cubic feet

Mass of the water in tons, m = ?

Formula to be used:

$$d = (m)/(V)$

Mass = Density × Volume

=3.12 × 10⁻² tons / cubic foot × 4.266 × 10¹⁴ cubic feet

= 1.3309 × 10¹³ tons of water

John said that 52 is part of the pattern below. Mary said that 66 is part of the pattern below.

Who is correct?
Pattern: 18,26,34,42

A. Neither is correct. B. Both are correct. C. Only John is correct. D. Only Mary is correct.