Answer
32+8x=28+20
32+8x=48
-32 -32
8x=16
/2 /2
4x=8
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Step-by-step explanation:
Answer:
Step-by-step explanation:
2l+2w+h=72
l=3w
h=2w
2(3w)+2w+2w=72
10w=72
w=7.2
l=3 × 7.2=21.6
h=2w=2 ×7.2=14.4
Answer:
y=\frac{3}{5}x\ +4.4
Step-by-step explanation:
Rise over run which would be 6/10 simplify that and you would get 3/5
Then you are looking for the intercept of y which would be 4.4.
Answer:
Step-by-step explanation:
The greatest common factor between 32 and 80 is 16 not 8.
32 (forwards) / 16 (teams) = 2 forwards on each team.
80 (guards) / 16 (teams) = 5 guards on each team.
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
