Celeste had 30 pieces of bubblegum. Each piece of bubblegum cost $.12 each. What was the total she paid for all 30 pieces of bubblegum?

Answers

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What is 4.12 expressed as the quotient of two integers in simplest form

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All you do is turn 4.12 into a whole, make it over 100 and simplify.

So, 4.12

= 412/100

Which simplifies to 103/25.

A line passes through (2, −1) and (4, 5). which answer is the equation of the line? −3x y=−7−3x y=−7 −3x y=17−3x y=17 −3x 5y=13−3x 5y=13 −3x 5y=−13

Answers

Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - (-1) = ((5 - (-1))/(4 - 2))(x - 2)
y + 1 = ((5 + 1)/2)(x - 2)
y + 1 = 6/2 (x - 2)
y + 1 = 3(x - 2) = 3x - 6
-3x + y = -6 - 1
-3x + y = -7

The ages of amit and archana are in ratio 4:5. If amit is 4 years 8 months old, find the age of archana

Answers

1 yr = 12 months...so 4 yrs = (12 x 4) = 48 months + 8 months = 56 months

4/5 = 56/x
cross multiply
4x = 280
x = 280/4
x = 70 months = 5 yrs and 10 months

convert 4 years 8 months into months=56 months
4+5=9
4/5 * X=56
x=280/4=70
therefore to find archana's age
5/9*70=39 months=3 years and 3 months

What is negative 5/12 minus 7/9

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-5/12 - 7/9 =-43/36
first find common denominators 36 so you multiply -5/12 by 3 and 7/9 by 4 to get -15/36-28/36 to get -43/36

either -1.194444444, or -43/36

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?

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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

Which of the following represents the prime factorization of 72?

Answers

If you would like to write the prime factorization of 72, you can do this using the following steps:

72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1

72 = 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2

The correct result would be 2 * 2 * 2 * 3 * 3.

Answer:

2^3 3^2

Step-by-step explanation:

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