7/8 * 4/5 = (7*4)/(8*5) = 7/(2*5) = 7/10
Answer:
science only is 220
math only is 180
either math or science is 60
Since rectangles have two pairs of equal-length sides, for any rectangle with length L and width W, its perimeter is always 2L + 2W (or 2(L + w), whichever you prefer). Here, we're told that the width is 4 feet less than the length. Symbolically, we'd say that W = L - 4. This allows us to write the perimeter entirely in terms of length if we replace our W with the expression on the right side:
2L + 2W = 2l + 2(L - 4) = 2L +2L - 8 = 4L - 8
Sam wants this expression to come out to 52, so we can set up the equality 4L - 8 = 52 and solve for L to find what the length has to be:
Adding 8 to either side, the equality becomes 4L = 60. Diving either side by 4 gives us L = 15, which tells us that the length of the deck should be 15 feet.
F a ship's path<span> is </span>mapped<span> on a </span>coordinate grid<span>, it </span>follows<span> a </span>straight-line path<span> of </span>slope 3<span> and </span>passes through point<span> (</span>2<span>, </span>5<span>). </span>Part<span> A: What is the equation of the </span>path<span>? </span>Part<span> B: Does the </span>ship pass through point<span> (7, 22)?. </span>Part<span> C: A second </span>ship follows<span> a straight line, with the equation x + 3y − 6 = 0. Are these two </span>ships<span> </span>
Answer: show A had 8394 performances.
Show B had 6010 performances.
Step-by-step explanation:
Let x represent the number of performances of show A.
Let y represent the number of performances of show B.
As of a certain date, there had been a total of 14,404 performances of two shows on Broadway. This means that
x + y = 14404 - - - - - - - - - -1
There was 2384 more performances of Show A than Show B. It means that
x = y + 2384
Substituting x = y + 2384 into equation 1, it becomes
y + 2384 + y = 14404
2y = 14404 - 2384
2y = 12020
y = 12020/2
y = 6010
x = y + 2384 = 6010 + 2384
x = 8394
