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
Answer:
the answer to this is D. 2006
Answer:
9
Step-by-step explanation:
What is the highest (greatest number) value that this graph goes to on your picture? We can see it is 9.
The actual distance from Chicago to Boston is 712.5 miles.
Step-by-step explanation:
Given,
Scale on map = 150 miles per inch
Distance from Chicago to Boston on map = 4.75 inches
Actual distance = Distance on map * 150 miles
Actual distance = 4.75 * 150
Actual distance = 712.5 miles
The actual distance from Chicago to Boston is 712.5 miles.
Keywords: scale, multiplication
Learn more about multiplication at:
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73/100 is already reduced
