Answer:
The weight of the package is 1 kilograms.
It will cost $ 13 by both the couriers services.
Step-by-step explanation:
Let the weight of her package is x kilograms
Now, according to the question:
The charges of first Courier = $10 + $3(x)
and The charges of Second Courier = $7 + $6(x)
Also, for x kilograms, both the charges are equal
⇒ $10 + $3(x) = $7 + $6(x)
or, 10 + 3x = 7 + 6x
or, 10 -7 = 6x - 3x
⇒ 3x = 3, implies x = 3/3 = 1
⇒ The weight of the package is 1 kilograms.
It will cost : 10 + 3(1) = $ 13 = 7 + 6(1) by both the couriers services.
The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.
Volume of a square based pyramid is given as :
Where; h = height ; a = base edge
Hence, Volume of PYRAMID A :
Volume of PYRAMID B = 3,136 in³
Divide Volume of pyramid B by pyramid A :
= 8 times
Expressing as a percentage, multiply by 100% ;
8 * 100% = 800%
Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.
Learn more :
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An absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The median weight for a 5 foot tall male to enlist in the US Army is 114.5 lbs. This weight can vary by 17.5 lbs. Therefore, the inequality can be written as,
(114.5 - 17.5) lbs < x < (114.5 + 17.5) lbs
97 lbs < x < 132 lbs
Hence, an absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.
Learn more about Inequality:
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Answer:
Step-by-step explanation:
t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Answer: The r<span>-value for the linear function related to the ordered pairs is very close to zero, so it is not a good representation of the data. A quadratic model would better represent the data because there is a turning point within the data set. The data increases then decreases, which is what the graph of a quadratic does. </span>
