Answer:
There were 7 small boxes and 14 large boxes shipped.
Step-by-step explanation:
This problem may be solved by a system of equations:
I am going to say that:
x is the number of small boxes used
y is the number of large boxes used
There were twice as many large boxes shipped as small boxes shipped
This means that y = 2x
Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.
This means that 45x + 80y =1435
So we have to solve the following system:
y=2x
45x + 80y =1435
45x + 80 (2x) = 1435
205x = 1435
x= 1435/205
x=7
y=2x= 2(7) = 14
There were 7 small boxes and 14 large boxes shipped.
Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.
Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.
<h3>What is the odd of an event?</h3>
It is given by the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.
Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:
18:82 = 9:41
The odds that the winner shops in the store 4 or more times a week are given by: 9:41.
More can be learned about odds at brainly.com/question/25683609
2x+7=x+3
2x+7=3
-×
x+7=3
-7 -7
x=-4
Answer:
The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.
Step-by-step explanation: