Answer: 5 branches and 16 birds.
Step-by-step explanation:
If the number of birds is B, and the number of branches is N.
First we have the equation:
B = 3*N + 1
(3 birds per branch + 1 that was flying around)
for the second equation we have:
B = 4*(N - 1)
(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)
now we can write:
3*N + 1 = 4*(N - 1)
3*N + 1 = 4*N - 4
4 + 1 = 4*N - 3*N
5 = N
So we had 5 branches, now we can replace it in one of the equations and find the number of birds.
B = 3*N + 1 = 3*5 + 1 = 16
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
1000 runners
Step-by-step explanation:
Take total number of runners to be -----------x
90% of x managed to complete the marathon= 90/100 × x =0.9x
30% of those who completed the marathon were men= 30% × 0.9x
=0.3×0.9x= 0.27x
=270 men completed the marathon; this means
0.27x=270--------------------------------find x by dividing both sides by 0.27
x= 270/0.27
x=1000 runners
Answer:
1 2 4 8 16 32 64
Step-by-step explanation:
prime factors of 64 is 2 so
2____64
2____32
2____16
2_____8
2_____4
2_____2
1
Answer:
c. infinite solutions
Step-by-step explanation:
y = 10x + 2
This is a line. A line has infinite points
Therefore this has infinite solutions
