C is the only one that is not parallel.
Answer:
22.5 grams of 10% cream is mixed with 37.5 grams of 2 % cream to prepare 60 grams of 5% cream.
Step-by-step explanation:
Let x grams of 10% cream is mixed with y grams of 2 % cream to prepare 60 grams of 5% cream.
So, x + y = 60 ............ (1) and
⇒ 10x + 2y = 300
⇒ 5x + y = 150 ............ (2)
Now, solving equations (1) and (2) we get,
4x = 150 - 60 = 90
⇒ x = 22.5 grams
So, y = 60 - x = 37.5 grams. (Answer)
Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
Answer:
See explanation below
Step-by-step explanation:
Volume = (11)(10)(7) = 770 cubic centimeters
Surface area = (2)(10)(7) + (2)(11)(7) + (2)(11)(10) = 1774 square centimeters
b) Surface area (How much wax can cover the cube)
c) Volume (How much juice will be inside the cube)
Answer:
temperature on the beach = T2 = 34.56 °C
Step-by-step explanation:
We are given;
P1 = 4.5 atm
T1 = 24 °C = 24 + 273 = 297 K
P2 = 4.66 atm
Thus, P1/T1 = P2 /T2
So, T2 = P2•T1/P1
Thus, T2 = (4.66x 297)/4.5
T2 = 307.56 K
Let's convert to °C to obtain ;
T2 = 307.56 - 273
T2 = 34.56 °C
