Answer: 30 trees
Step-by-step explanation:
Elizabeth has 330 citrus trees and 180 palm trees
The largest number of trees that she can have in a row will base on the highest common factor between the two number of trees
330 = 2 × 3 × 5 × 11
180 = 2 × 2 × 3 × 3 × 5
HCF = 2 × 3 × 5
HCF = 30
The largest number of trees that she can have in a row is 30 trees.
Answer: 17 in.
Step-by-step explanation:
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is 17 in.
Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
1)
90g strawberry jelly
6 sponge fingers
315ml custard
135g tinned fruit
2) 260 cm²
Step-by-step explanation:
1) 120/4 × 3
90g strawberry jelly
8/4 × 3
6 sponge fingers
420/4 × 3
315ml custard
180/4 × 3
135g tinned fruit
2) area = base × height
= 20 × 13
= 260 cm²
Answer:
Solution = -2x-7y=-4
Step-by-step explanation:
Add the x-component to the x-component, add the y-component to the y-component, add the number to the number.
It looks like this
5x + (-7x) = -2x
9y + (-2y) = -7y
1 + (-5) = -4
Then, put the solutions in the places where you see them in the equation, x goes first, y comes second, then this equals the number value.
-2x - 7y = -4
