Answer:
Step-by-step explanation:
yhuhjooguh
Answer:
A.
Step-by-step explanation:
y=loga(x) is just the same as x=a^y
Answer:
19 oz of cranberry juice
Step-by-step explanation:
32oz of water * (3 parts juice/5 parts water) = 19.2 oz of cranberry juice
Hope this helps!
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The mass of brick is 2478 gram
<em><u>Solution:</u></em>
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches
Length = 8 inches
Width = 3.5 inches
Height = 2 inches
<em><u>The volume of rectangular prism is given as:</u></em>
![volume = length \times width \times height](https://tex.z-dn.net/?f=volume%20%3D%20length%20%5Ctimes%20width%20%5Ctimes%20height)
![volume = 8 \times 3.5 \times 2\\\\volume = 56](https://tex.z-dn.net/?f=volume%20%3D%208%20%5Ctimes%203.5%20%5Ctimes%202%5C%5C%5C%5Cvolume%20%3D%2056)
Thus volume of brick is 56 cubic inches
<em><u>Convert inches to centimeter</u></em>
1 inch = 2.54 centimeter
Therefore,
56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter
56 cubic inches = 917.676 cubic centimeter
Thus, we get,
volume = 917.676 cubic centimeter
The brick has a density of 2.7 grams per cubic centimeter
Density = 2.7 grams
<em><u>The mass of brick is given by formula:</u></em>
![mass = density \times volume](https://tex.z-dn.net/?f=mass%20%3D%20density%20%5Ctimes%20volume)
<em><u>Substituting the values we get,</u></em>
![mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478](https://tex.z-dn.net/?f=mass%20%3D%202.7%20%5Ctimes%20917.676%5C%5C%5C%5Cmass%20%3D%202477.724%20%5Capprox%202478)
Thus mass of brick is 2478 gram
Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
<u>First, we determine the systems of equations:</u>
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
<u>Now, we isolate x in one equation, and substitute it in the other one:</u>
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
<u>Prove: </u>
15*100 + 10*50= 2,000
100 + 50 = 150