Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Answer:
d
Step-by-step explanation:
They have a common factor of 6
Answer:
1.) Circumference of circle A = 131.95 metre
2.) Circumference of circle B = 175.93 metre
3.) Yes. Radius is proportional to the circumference.
Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters
Circumference of a circle = 2πr
For circle A
Radius r = 21
Circumference = 2 × 3.143 × 21
Circumference = 131.95 metre
For circle B
Circumference = 2 × 3.143 × 28
Circumference = 175.93 metre
Is the relationship between the radius of a circle and the distance around the circle the same for all circles? YES
Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference
