$129x=y
when x is the amount of night and y is the total cost
plug in 3 for x (3 days)
$129(3)=y
$387=y
Total cost would be $387
Write the prime factorization of both the numerator and denominator.The prime factors of 22 are 2 and 11.
The prime factors of 14 are 2 and 7.
Rewrite the fraction so that the numerator and denominator are written as the product of their prime factors: 22 / 14 = ( 2 × 11 ) / ( 2 × 7 )Cancel out any common prime factors.
We can cancel out a 72from both the numerator and the denominator.22 / 14 = 11 / 7<span>The fraction 22/14 can be simplified to 11/7.</span>
Answer:100,000 square yards
Step-by-step explanation: 400*500=200,000/2= 100,000
A) The larger and small triangles are similar, so
8/10 = x/15
x = (8*15)/10 = 12
b)find the altitude x
tan 40 = x / 5
x = 5 tan 40 = 4.195
By Pythagoras theorem:-
y = sqrt ( 4.195^2 + 11^2)
y = 11.8 to 3 significant figures
Answer:
m∠3 = 115 degrees
Step-by-step explanation:
angle 6 and angle 8 are on a straight line
we know that sum of angles on straight line is 180
therefore
m∠8 = x+5
m∠6 + m∠8 = 180
2x - 5 + x+5 = 180
=> 3x = 180
=> x = 180/3 = 60
Thus,
m∠6 = 2x-5 = 2*60 - 5 = 115
we know that for two parallel lines cut by a transversal
alternate opposite angles are equal
m∠6 and m∠3 are alternate opposite angles
thus
m∠6 = m∠3 = 115 (answer)
