Answer:
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Step-by-step explanation:
h=hours
19+4h=47
Subtract 19 from both sides of the equation.
4h=28
Divide 4 from both sides of the equation.
h=7
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Hope this helps :)
Answer:
25 cents/ounce
Step-by-step explanation:
The unit rate means how much is one of the thing you are working with. In this case, the unit rate of a pint (16 ounces) is how much just one ounce will cost. So divide $3.93 by 16
$3.93/16 = $0.245625
Since we're working with money, round to the nearest hundredth
Unit rate is $0.25 per ounce, or 25 cents per ounce
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function 
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem:
- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.
-Madison is 5 feet tall.
2. Therefore, you have:
Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft
3. Now, you can calculate the height of the Statue of Liberty, as below:
height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft
4. Therefore, as you can see, the answer is: 62.13 ft
</span>
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
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