Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..
56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months
Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards
and they will both have 104 cards
Answer:
21:27 and 14:18
Step-by-step explanation:
We can solve this by using common factors
one of the common factors of 54 and 42 is 3
42/3=14
54/3=18
so one of the ratios is 14:18
another common factor is 2
42/2=21
54/2=27
so another ratio is 21:27
(f+g)(3)=f(3)+g(3)
f(x)=7 so f(3)=7
g(x)=x+5 so g(3)=3+5=8
(f+g)(3)=f(3)+g(3)=7+8=15
Answer:
Step-by-step explanation:The new line will be parallel to the line represented by y =2x +2
The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
3 = 2 * (-1) + b
3= -2 + b
b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:
y = 2x + 5
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Answer:
hope this help good luck
Step-by-step explanation:
a. H0: μ = 26.6
b. Ha: μ > 26.6
c. Let x = the mean age for online students at De Anza College.
d. Student’s t-distribution
e. 9.98
f. p-value = 0.0000
g. Check student’s solution.
h. i. Alpha: 0.01
ii. Decision: Reject the null hypothesis.
iii. Reason for decision: The p-value is less than 0.01.
iv. There is sufficient evidence to conclude that the mean age of online students at De Anza College is greater than 26.6 years.i. (28.8, 30.0)
