Answer:
15/4 and 45/4
Step-by-step explanation:
Let x and y be the numbers
x = 3y
x+ y = 15
Substitute the first equation in to the second equation
3y+y = 15
4y = 15
y = 15/4
x = 3(15/4)
x = 45/4
The two numbers are 15/4 and 45/4
Answer:
43cm²
Step-by-step explanation:
let's first consider the area of a square.
the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.
so to find the side of the square using the area, we take the square root of both of the area.

and also

so we have the height of the triangle as 5cm and the base is 4.2cm.
now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula
Area = L²
Area = 6.53²
Area = 42.6cm
the nearest cm square
Area = 43cm²
Answer: 1/3
<u>Divide</u>
30/90÷30/30=1/3
Since we are simplifying fractions we divide the numerator and the denominator by a number the fraction can go into.
We could use 10 then divide by 3. You can also just divide by 30 and get the answer.
Let's try dividing by 10 then 3!
30/90÷10/10=3/9
3/9÷3/3=1/3
As you can see we still get 1/3 when we divide by 3. Even tho you have to divide twice you still get 1/3. That's all that matters.
Answer:
46 miles per hour
Step-by-step explanation:
ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).
So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.
5a(b-c)=d. Here, we are trying to isolate the variable b.
Divide both sides by 5a: b-c=d/(5a)
Add c to both sides: b=