Answer:
Sam gets £30 and Bethan gets £24.
Why?
When dealing with ratios, add up the numbers in the ratio.
5 + 4 = 9
Now, divide the total amount of money by that number.
£54/9 = 6
Now you have the base rate. Multiply each quantity in the ratio by this number.
5*6 = 30
4*6 = 24
Now, the ratio is (in euro) 30:24. This means that Sam has £30 and Bethan has £24.
Check:
30 + 24 = 54
Answer:
1.50 for a water
2.80 for one nacho
Step-by-step explanation:
3w + 2n = 9.5
2w + 1n = 5.5
<em>good luck, i hope this helps :)
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Answer:
1. Choice B
2. Choice C
3. X=-2
4. Choice A
5. y = 5/2 x + 5
Step-by-step explanation:
1.
the slope is down 3 over 2 m =-3/2
point slope form
y-y1= m (x-x1)
y-y1 = -3/2 (x-x1)
Choice B
2. (-3,-1) (1/2,2)
slope = (y2-y1)/(x2-x1)
m=(2--1)/(1/2--3) = (2+1)/(1/2+3) = 3/(3.5) = multiply top and bottom by 2
m = 6/7
point slope form
y-y1 = m(x-x1)
y--1 = 6/7 (x--3)
y+1 =6/7 (x+3)
multiply by 7
7y+7 = 6(x+3)
7y+7 = 6x+18
subtract 7y from each side
7 = 6x-7y+18
subtract 18 from each side
-11=6x-7y
Choice C
3. x=-2
This is a vertical line, the value of x never changes
4. (-1,2) (1,-4)
slope =(y2-y1)/(x2-x1)
= (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x--1)
y-2 = -3(x+1)
y-2 = -3x-3
add 2 to each side
y = -3x-1
Choice A
5. (-2,0) (0,5)
the y intercept is 5
slope is change in y over change in x
slope =(y2-y1)/(x2-x1) = (0-5)/(-2-0) = -5/-2 = 5/2
slope intercept form
y= mx+b
y = 5/2 x + 5
Answer: a ticket to the movie costs $8.5
Step-by-step explanation:
Let x represent the cost of a movie ticket.
Let y represent the cost of a Soda.
Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that
3x + 3y = 35.25 - - - - - - - - - -1
A ticket to the movie cost $5.25 more than a soda. This means that
x = y + 5.25
Substituting x = y + 25 into equation 1, it becomes
3(y + 5.25) + 3y = 35.25
3y + 15.75 + 3y = 35.25
6y = 35.25 - 15.75 = 19.5
y = 19.5/6 = 3.25
x = y + 5.25 = 3.25 + 5.25
x = 8.5
