Answer: they can rent the room for less than 6 hours.
Step-by-step explanation:
Let x represent the possible amounts of time in which they can rent the room.
There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be
47 + 7.4x
The math club wants to spend less than $91.40 on renting the room. This would be expressed as
47 + 7.4x < 91.4
7.4x < 91.4 - 47
7.4x < 44.4
x < 44.4/7.4
x < 6
Answer:
Expresion:
Evaluating:
Step-by-step explanation:
By definition, a product is the result of a multiplication. For example:
In this example "a" and "b" are the factors and "c" is the product.
Therefore, given:
" of the product and "
You can observe that it indicates that the result obtained by multiplying and , is multiplied by .
Knowing this, you can write the following expression:
Finally, evaluating, you get this result:
Answer:
1) Yes, 1/2 and 2
2) b=1/2 × t
t=2 × b
Step-by-step explanation:
1) Yes, because <em>every</em> package of a toy equals 2 batteries. The constant of proportionality is 1/2 and 2 because 1 ÷ 2 = 1/2 and 2 ÷ 1 = 2 (amount of toys divided by amount of batteries and vice versa)
2) b = 1/2t, because for every battery, there is 1/2 a toy.
t = 2b, because for every toy, there are 2 batteries
<em>note: you can't actually have 1/2 a toy, </em><em>but</em><em> </em><em>we</em><em> </em><em>write</em><em> </em><em>it</em><em> </em><em>like</em><em> </em><em>that</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>sake</em><em> </em><em>of</em><em> </em><em>showing</em><em> </em><em>the</em><em> </em><em>relationship</em><em> </em><em>of</em><em> </em><em>toy</em><em> </em><em>to</em><em> </em><em>battery</em><em>. </em>
4/3 *3.14*4.5^3-Donut Hole
4/3 *3.14*3^3-Mini Donut
Then Subtract the greater answer from the smaller one.
Answer:
x=14
y=30
Step-by-step explanation:
5x+25=3x+53
5x=3x+28
2x=28
x=14
2y+35=95
2y=60
y=30
(I assumed all of the angles are equal, correct me if I'm wrong.)