Answer:
The difference between their bonus is £2.60
Step-by-step explanation:
The bonus Tom receives is 30% of £96
Tom's bonus
So the bonus Tom received is £28.8
From the question, Sally gets a bonus of £31.40
We need to find the difference between the bonus Tom gets and the bonus Sally gets.
This given by:
£31.40 -£28.8=£2.60
O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
Answer:
Option D
Step-by-step explanation:
The complete question is attached herewith.
Also the options for the same are as follows -
What is the meaning of the slope of the trend line shown on the scatterplot?
A A plant grows about 3 inches for every 2 hours of sunlight it receives.
B A plant grows about 2 inches for every 3 hours of sunlight it receives.
C A plant grows about 3 inches for every 1 hour of sunlight it receives.
D A plant grows about 1 inch for every 3 hours of sunlight it receives.
Solution
If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.
At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.
Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.
Hence, option D is correct
Answer:
x=5, y=2
Step-by-step explanation:
You simply write down what you see:
3x - 4y + 4x - 5y = 17
2x - 3y + 3x - 5y = 9
Then you simplify by grouping the x and the y terms:
7x - 9y = 17
5x - 8y = 9
Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:
35x - 45y = 85
-35x + 56y = -63
-------------------------+ now we can add them:
11y = 22 divide by -11
y = 2
So 7x - 18 = 17, x =5
Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:
3*5 - 4*2 = 7
4*5 - 5*2 = 10
7+10 = 17: ok!
2*5 - 3*2 = 4
3*5 - 5*2 = 5
4+5 = 9: ok!