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3 years ago

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.)

Mathematics

1 answer:

topjm [15]3 years ago

7 0

11 : 36

12in (1 foot) × 3 =36 and put it into a ratio makes it 11 : 36

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Sam and Lou need a total of 1 foot of wire for a science project. Sam's wire measured 7/8- foot long. Do they have enough wire f

Reil [10]

Answer:

Yes, Sam and Lou have enough wire for science project.

Step-by-step explanation:

There is some data missing in the question, so complete question is below:

$Sam\ and\ Lou\ need\ a\ total\ of\ 1\ foot\ of\ wire\ for\ science\ project.$ $Sam's\ wire\ measured\ 8/12\ foot\ long.\ Lou's\ measured\ 7/8-\ foot \ \ long.$ $Do\ they\ have\ enough\ wire\ for\ the\ science\ project?$ $Explain \ your\ reasoning.$

Now, to get that whether they have enough wire for the science project or not.

Measurement of Sam's wire = $\frac{8}{12} \ foot.$

Measurement of Lou's wire = $\frac{7}{8}\ foot.$

Now, adding both the wires of Sam and Lou:

$\frac{8}{12} +\frac{7}{8} \\\\=\frac{16+21}{24} \\\\=\frac{37}{24}$

$=1\frac{13}{24} \ feet.$

As, Sam and Lou need a total of 1 foot of wire for the science project.

And, we see that the Sam's wire and Lou's wire combining gets $1\frac{13}{24}\ feet$ which is more than 1 foot.

Thus, wire they have is enough for science project.

Therefore, yes, Sam and Lou have enough wire for science project.

5 0

3 years ago

Write an equation of the line that passes through a pair of points:

vredina [299]

Answer:

The equation of the line that passes through a pair of points

$y = \frac{-1}{8} ( x ) -\frac{11}{8}$

Step-by-step explanation:

Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

$m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}$

The equation of the line that passes through a pair of points

$y - y_{1} = m ( x - x_{1} )$

$y - (-2) = \frac{-1}{8} ( x - (5) )$

$y = \frac{-1}{8} ( x ) +\frac{5}{8} -2$

$y = \frac{-1}{8} ( x ) +\frac{5-16}{8}$

$y = \frac{-1}{8} ( x ) -\frac{11}{8}$

3 0

2 years ago

Evalute this integral

enot [183]

Answer:

(1/2)sin(2x) + C

Step-by-step explanation:

$y=2x\\\frac{dy}{dx} =2\\\ dx=\frac{dy}{2} \\\int\limits {cos 2x} \, dx \\\int\limits {cos(y) } \, \frac{dy}{2} =\frac{1}{2} \\\int\limits {cos(y) } \, dy=\frac{1}{2}sin(y) \\ substitute / y=2x\\\int\limits {cos 2x} \, dx = \frac{1}{2}sin(2x) +C$