There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which bottle gives better value for money? (Hint: you have to use ratios)

Answers

Answer 1

Answer: $To\ find\ better\ value\ for\ money\ you\ can\ find\ price\ of\ 100g:\n\n720:100=72\n460:100=46\n\n1.79:72=0.025\n1.00:46=0.022\n\n460g\ ketchup\ is\ more\ profitable.$

Answer 2

Answer: The better value would be the one that weighs 720 g and costs $ 1.79.

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What is the approximate volume of a cylinder with a diameter of 10 meters and a height of 5 meters

Answers

V=hpir^2
d/2=r
10/2=5=r
h=5
V=5pi5^2
V=5pi25
V=125pi
aprox pi=3.141592
V=392.699 m^3

How do you calculate the circumference of a circle

Answers

$2\pi r$ where 'r' is a radius

You need to use the following equation - 2(pi) r . r = radius and so put the circle's radius in the equation and multiply!

Bob has 3 children, the product of their age is 72, his youngest child called justice, what are their ages

Answers

I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.

3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

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

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible age combination:

1 x 8 x 9 = 72
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 6 x 12 = 72
1 x 4 x 18 = 72

If x and y are negative integers and x – y = 1,
what is the least possible value for xy?

Answers

x=y+1
Least possible value for y(y+1)? Well, it appears for y halfway between the roots (you know what a parabola is, don't you?). That y is -0.5, so let's calculate -0.5*0.5, which is -0.25.
The least possible value is $-\frac{1}4$
Well, not really :)) The two values must be both negative, so we can't take one of them to be 0.5! As we lower the values, however, the product grows, reaching 0 when x=0 and y=-1, and further increasing as x and y lower. Thus, we would actually take x=0 and y=-1.

Write a quadratic function in standard form with zeros 9 and -4

Answers

$if\ x_1\ and\ x_2\ zeros,\ then\ quadratic\ function\:\n\nf(x)=a(x-x_1)(x-x_2)\n\n\n9;\ -4-zeros,\ then:\n\nf(x)=a(x-9)(x+4)=a(x^2+4x-9x-36)=a(x^2-5x-36)\n\n\nif\ a=1\ then\ f(x)=x^2-5x-36$

2. Which of the following is the equation of a circle with the radius of 1.5 and its center at (-3,2)?A. (x+3)^2+(y-2)^2=1.5
B. (x-3)^2+(y+2)^2=1.5
C. (x+3)^2+(y-2)^2=2.25
D. (x-3)^2+(y+2)^2=2.25

Answers

Hello,

(x+3)²+(y-2)²=2.25

Answer C

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