Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4
Answer:
We use cosine rule also called cosine law which states
c^2=a^2+b^2-2abcosC
given
a=8cm, b=7cm, c=9cm cos C?
9^2=8^+7^2-2*8*7 cos C
expand
81=64+49-112 cos C
like terms together
81-113=-112 cos C
-32=-112cos C
multiply both sides by -1
32=112cos C
divide both sides by 112
32/112=cos C
cosC=0.2857
find cos inverse of 0.2857
angle C= 73.40
Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2=24
Multiply by 3/2 on each side
3/2 *2/3 x^2=24 *3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = ±sqrt(36)
x = ±6
x = -6, 6
The smallest solution is -6
Answer:
212.5/h
Step-by-step explanation:
subtract the new value from the old value, then divide by the time.
(1530 - 680)/4
850/4
212.5/1h
