Check the picture below.
the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus
The problem is multiplying w by 18 to get a total of 108.
The answer would be :
D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?
To solve for the number of cups divide both sides of the equation by 18:
18w = 108
W= 108 / 18
W = 6
It would take 6 18 ounce glasses to equal 108 total ounces.
Let <em>f</em> and <em>s</em> denote the amounts of the <u>f</u>irst and <u>s</u>econd brands that the chef is going to use.
She wants to end up with 290 mL, so
<em>f</em> + <em>s</em> = 290
Each mL of the first brand contains 0.08 mL of vinegar, and each mL of the second contains 0.13 mL of vinegar. The final mixture should have a concentration of 12% vinegar, so that it contains 0.12 • 290 mL = 34.8 mL of vinegar, and
0.08<em>f</em> + 0.13<em>s</em> = 34.8
Solve for <em>f</em> and <em>s</em> :
<em>f</em> + <em>s</em> = 290 → <em>s</em> = 290 - <em>f</em>
0.08<em>f</em> + 0.13 (290 - <em>f </em>) = 34.8
0.08<em>f</em> + 37.7 - 0.13<em>f</em> = 34.8
0.05<em>f</em> = 2.9
<em>f</em> = 58
<em>s</em> = 290 - 58
<em>s</em> = 232
Answer:
(x - 9)(x^2 + 18x + 81).
Step-by-step explanation:
Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
x^3 - 729 = (x - 9)(x^2 + 18x + 81)
Answer:
The answer to your question is 5/4 or 1 1/4
Step-by-step explanation:
Data
distance traveled from home to the lake = 1 9/12
total distance = 4 9/12
distance traveled around the lake = ?
Process
1.- Convert the mixed fractions to improper fractions
a) 1 9/12 = (12 + 9)/12 = 21/12 = 7/4
b) 4 9/12 = (48 + 9)/ 12 = 57/12 = 19/4
2.- Multiply the distance from home to the lake by two
7/4 x 2 = 14/4 = 7/2
3.- Subtract the result of "2" from the total distance
19/4 - 7/2 = 19/4 - 14/4 = 5/4
5.- The distance around the lake is 5/4 or 1 1/4
