15a-25=35
3.333
Leah needs to buy some apples from the grocery store. She places fifteen apples in her cart and proceeds to the checkout. Lucky for her, there happens to be a discount on apples for the day. She saves $25 on her purchase. The total money she ends up spending was only $35 (excluding tax). How much did each apple cost?
Answer:
Laurie's maximum depth can be represented using the expressions :
(20 × 3) = 60
(3 × 4 × 5) = 60
Step-by-step explanation:
Each depth level at which ears are checked = 5 feets
Each Depth level at which instruments are checked = 20 feets
For Laurie to check her instrument ;
Number of times ears are checked = 20/5 = 4 times
This means that for Laurie to have checked her instrument 3 times :
(4 × 3 × 5) = 60 feets
Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
Answer:
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Step-by-step explanation:
solution:
The variable is discrete because it is countable.
The number5 of lightning strikes in a city in one year is countable value.
So, it is discrete
