Hi I need some help with these questions. Thanks :)1. 3 consecutive odd numbers add to give 405. Find the smallest of the numbers.

2. 5 times a number less 7 is equal to 7 times the number plus 13. Find the number.

3. Chris earns four times Vesna's wage v and Vesna earns $17 more than Dawn. How many dollars does Chris earn if their combined wages are $163?

4. Percy is 8 years older than Ginny. In ten years time he will be three times Ginny's present age. How old is Percy now?

5. The two equal sides of an isosceles triangle are given as ( x + 2 ) cm and the third is ( x + 6 ) cm. I the perimeter of the triangle is 385 cm, find the value of x.

6. A choc frog is 11 cents dearer than a green frog. 3 green frogs and 2 choc frogs cost 57 cents. What is the cost of a choc frog I cents?

Answers

Answer 1

Answer: 1. 3 consecutive odd numbers are x, x+2, x+4
x+x+2+x+4=405
x+x+x+2+4=405
3x+6=405
3x=399
x=133 (smallest of the numbers)

2. Let the number =x
5x-7=7x+13
-7-13=7x-5x
-20=2x
x=-10

3. Chris earns 4v, Vesna earns v, Dawn earns v-17
4v+v+v-17=163
6v-17=163
6v=180
v=$30
Chris earns 4v=$120

4. Ginny is x years old, Percy is x+8 years old
  In 10 years time, Percy will be x+8+10=3x
  x+18=3x
  18=2x
x=9
  Percy is 9+8 years now=17 years

5. Perimeter of the triangle=sum of its sides
  385=x+2+x+2+x+6
  385=3x+10
  375=3x
  x=125cm

6. A choc frog costs x. A green frog costs x-11
2x+3(x-11)=57
2x+3x-33=57
5x=90
x=18 cents
  A choc frog costs 18 cents

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What's the answer too x+7/7x+35*x^2-3x-40/x-8

Answers

$(x+7)/(7x+35)\cdot(x^2-3x-40)/(x-8)=(*)\n\nx^2-3x-40=0\na=1;\ b=-3;\ c=-40\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-3)^2-4\cdot1\cdot(-40)=9+160=169;\ \sqrt\Delta=√(169)=13\n\nx_1=(3-13)/(2\cdot1)=(-10)/(2)=-5;\ x_2=(3+13)/(2\cdot1)=(16)/(2)=8\n\nx^2-3x-40=(x+5)(x-8)\n\n(*)=(x+7)/(7(x+5))\cdot((x+5)(x-8))/(x-8)=(x+7)/(7)=(x)/(7)+(7)/(7)=(1)/(7)x+1\n\nD:x\neq-5\ \wedge\ x\neq8$

Dion calculated the plane’s time to fly to another country. He calculated the plane flying at a rate of 600 miles per hour . How long will it take the plane to travel 6,300 miles?

Answers

Answer: 10.5h

Step-by-step explanation:

All we have to do is divide the number of miles by the miles per hour:

$6300/600=10.5$ h

In 4 years, harry’s age will be the same as jim’s age is now. in 2 years, jim will be twice as old as harry will be. find their ages now.

Answers

The answer to this question would be:
Jim =6 years
Harry =2 years

To answer this question, you need to translate the description into a mathematical equation. If H= Harry's ages and J= Jim's ages, then the equation should be look like this:

1. H+4= J
2. (J+2)= 2(H+2)
J+2= 2H+4
J= 2H +2

If you put the 1st and 2nd equation together, the result would be:
H+4= J
H+4= (2H +2)
H-2H= 2-4
-H= -2
H=2

After that insert the H value to either 1st or 2nd equation.
H+4= J
2+4=J
J= 6

Answer:

harry is 2 jim is 6

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Your video membership cost $14 per month for 10 video rentals. Each additional video rental is $2. Write in equation into variables that represent the cost of your video rentals.

Answers

Answer:the equation that represents the cost of your video rentals is y = 14 + 2(x - 10)

Step-by-step explanation:

Let x represent the number of video rentals that you made in a month.

Let y represent the total cost of x video rentals that you make in a month.

Your video membership cost $14 per month for 10 video rentals. Each additional video rental is $2. Therefore, the equation that represents the cost of your video rentals would be

y = 14 + 2(x - 10)

Where x - 10 is representing additional video rental above 10

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