Answer:
Dave is 18 and his sister is 6.
Step-by-step explanation:
If you do 38 -7x2 you can work out the combined ages of them now which is 24 (you have to do 7x2 because there are two of them and its seven years in the future). Then you can work out their ages using a ratio. Dave’s age : his sister’s age is 3:1 so if you divide 24 by 4 (3+1 = 4 so your can work out one portion of their age) you can find out how old the sister is which is 6. Times that by 3 to get Dave’s age which is 18. A formula for this (where x is his sisters age) would be 3x=38-7x2 which cancels down to 6.
Answer:
40 words per minute
Step-by-step explanation:
y · 3 = 1 · 120
3y = 120
3y ÷ 3 = 120 ÷ 3
y = 40
Answer:
Step-by-step explanation:
Start by plotting your points.
If the line is diagonal, then realize you can make a triangle with the line connecting the two points being the hypotenuse.
Use Pythagorean Theroem to solve.
We can make this an equation, lets start with how much money he has. Since he bought the motorbike he lost 2,000, then sold it and received 2,500. The 2,000 cancels out but he still has 500. Now that he bought it for 2,200 we subtract 2,200 from 500 and get -1,700. Then finally, he sold it for 2,000 so we add that to -1,700 and get 300. His total profit was $300.
-2,000 + 2,500 = 500
500 - 2,200 = -1,700
-1,700 + 2,000 = 300
Answer:
OQ = 16
PR = 32
m<QRS = 90 degrees
Step-by-step explanation:
Since we know that PQRS is a rectangle, we can use its properties to find that:
OQ, OS, OR, and OP are equivalent, meaning that they all equal 16. Therefore, OQ = 16.
PR = OR + OP, meaning that 16 + 16 = PR, meaning that PR = 32.
And finally, m<QRS = 90 degrees because all corner angles in a rectangle are right angles.
I hope this helps!
