Answer:
6(4+3t)
Step-by-step explanation:
Well, some of the common factors that 24 and 18 share are 2, 3, and 6.
The greatest factor is 6.
Divide 24/6=4
Divide 18t/6=3
6(4+3t)
Because 6x4=24
and 6 x 3t= 18t
The expression or equation to represent the number of hat each shelter will receive is h = 1600 / 4
<h3>Algebraic Expression</h3>
Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
To represent the amount each local shelter will receive, we can write an expression for that while the variable is present
The number of hats can be found by dividing the total number of hats collected by the number of local shelters.
Estimating the number of hats
1596 ≅ 1600
Number of hats (h) = 1600 / 4
h = 400
Each local shelter will receive 399 hats
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Answer:
3
Step-by-step explanation:
6x+4y=24
3x+7y=27
-----
6x+4y=24
6x+14y=54
-----10y=30
y=3
In your triangle, x is a leg, 7 is a leg, and y is the hypotenuse, always the longest side. You have an angle of 45. The way that angle is related to the given side is "opposite", and if you're solving for x, the way your angle is related to the side x is "adjacent". To solve for x, you need to trig ratio that relates the side opposite to the side adjacent, which so happens to be tangent. You set up like this then:
and
which is done on your calculator in degree mode (very important!!!). x = 7, so the first choice above. In the second part, you have the same triangle but now you're solving for the length of the hypotenuse. 7 is still opposite your given angle and you're looking for hypotenuse, so the trig ratio that relates the side opposite to the hypotenuse is sin. Yours is this
and
. Using your calculator again you get that y = 9.899 or 10.
Money values are usually rounded to the nearest hundredth (2 decimal places).
Thus, this means that her balance can be whole or a terminating decimal to the nearest hundredth.
Therefore, the subset of real numbers that best describes her balance is the set of rational numbers.