For this case, the first thing we must do is define variables.
We have then:
t: number of tarts
p: number of pies
We now write the system of equations:
Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day:
8p + t ≤ 184
the baker makes no more than 40 tarts per day:
t ≤ 40
Answer:
A system of inequalities that can be used to find the possible number of pies and tarts the baker can make is:
D. t ≤ 40
8p + t ≤ 184
A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.
1. 
Check:
The multiplicative inverse of 5 in
is 9.
2. 
Check:
The multiplicative inverse of 5 in
is 5.
3. 
Check:
The multiplicative inverse of 5 in
is 8.
Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1

The z score of
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

The margin of error (e) =
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
( 2a + 3 ) - ( 4a - 8 ) = 7
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = -4 / -2
a = 2