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user100 [1]
3 years ago
15

Sam and Bethan share £54 in the ratio 5:4 how much dose each get

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
Ratio 5:4 
Total shares = 5+4 = 9

then to find for 1 share = 54/9 = 6

So Sam share = 6 x 5 = 30
Bethan share = 6 x 4 = 24

Poof: 30+24 = 54

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Question 14
Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

6x+y=-1\\y=-6x-1

second equation:

-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0
3 years ago
I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?
LenaWriter [7]

Answer:

1.1352 L

Step-by-step explanation:

L = qt 1.0567

qt = 0.946 L  

1:4 = 5

0.946/5 = 0.1892 L one part

0.1892 x 11 = 2.0812 11 parts as 1+10 =11

Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946

= 1.1352 L

7 0
3 years ago
Which expressions are equivalent to -2y - 8+4y?
irina [24]

Answer:

Step-by-step explanation:

5 0
2 years ago
the sum of the digits of a two digit number is 10. if the digits are reversed, the new number will be 18 more than the original
bearhunter [10]
<span>t+u = 10
10u+t= 10t+u-54
Rearrange:
t+u=10
9t-9u=54
Simplify:

1st; t+u=10
2nd: t-u=6
Add 1st and 2nd and solve for t,as follows:
2t = 16
t = 8
Substitute in t+u=10 to solve for u:
8+u=10
u = 2
Original Number = 82</span>
3 0
3 years ago
I need hlep on Number 2 ?and number 1 ?
Nimfa-mama [501]
1. 20 slices

2. 54 for herself

Hope this helps
5 0
3 years ago
Read 2 more answers
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