Answer:
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Answer:
18
Step-by-step explanation:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
The x in the formula is the depth.
You are given two different depths, replace x with the depths, solve for T, then subtract the to find the difference:
At 1200 meters the temperature is:
T = 4500/1200 = 3.75 degrees
At 3750 meters the temperature is:
T = 4500 / 3750 = 1.20 degrees.
The difference in temperature between the two depths is:
3.75 - 1.20 = 2.55 degrees C.
Answer:
-30 x +148
Step-by-step explanation:
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The answer is 24 screws, 6 bolts, and 12 washers.
s - the number of screws
b - the number of bolts
w - the number of washes
<span>The cost of screws are $3.00 each: 3s
</span><span>The cost of bolts are $2.00 each: 2b
</span><span>The cost of washers are $1.0 each: 1.5w
</span><span>A hardware store makes a mixed bag of 42 items using screws, bolts, and washers: s + b + w = 42
</span><span>The mixture calls for four times as many screws than bolts: s = 4b
</span>The total cost of the mixture is $102.00: 3s + 2b + 1.5w = 102
The system of three equations:
(i) s + b + w = 42
(ii) s = 4b
(iii) 3s + 2b + 1.5w = 102
Substitute s from (ii) equation into (i) equation and express it in the term of w:
4b + b + w = 42
5b + w = 42
w = 42 - 5b
Substitute s from (ii) equation and w from (i) equation into (iii) equation:
3 * 4b + 2b + 1.5(42 - 5b) = 102
12b + 2b + 63 - 7.5b = 102
6.5b + 63 = 102
6.5b = 102 - 63
6.5b = 39
b = 39 : 6.5
b = 6
s = 4b = 4 * 6 = 24
w = 42 - 5b = 42 - 5 * 6 = 42 - 30 = 12