Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 =
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Answer:
Step-by-step explanation:
3x+2x+7=22
5x+7-7=22-7
5x=15
5x/5=15/5
X=3
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
Answer:
No of cookies baked by Eva=24
No of cookies baked by Jamir=?
Total cookies=56
Solution
24+p=56
p=56-24
p=32
Answer:
18° and 72°
Step-by-step explanation:
let x be the measure of one angle then the other is 3x + 18
The sum of the 2 complementary angles = 90°, hence
x + 3x + 18 = 90
4x + 18 = 90 ( subtract 18 from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
the 2 angles are 18° and (3 × 18 ) + 18 = 72°