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ivanzaharov [21]
4 years ago
15

The formula V=1/3lwh gives the volume of a rectangular pyramid with length l, height h, and width w. Solve the formula for w.

Mathematics
1 answer:
Tamiku [17]4 years ago
5 0
V=1/3lwh
30.45=1/3×6.3×2.5×h
30.45=5.25h
h=5.8 ft, so the height is 5.8 feet. Hope it help!
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Caleb is planning a visit to an amusement park. He wants to figure out how many roller coasters he could ride and how many shows
asambeis [7]
Let r and s represent the number of times Caleb can ride the roller coaster and watch a show, respectively. The time Caleb needs to allow for each roller coaster ride is (wait time) + (ride time) = (30 +5) min = 35 min. Then we can write the equations
  r - s = 3
  35r +25s ≤ 345

Adding 25 times the first equation to the second, we get
  25(r -s) +(35r +25s) ≤ 25(3) +(345)
  60r ≤ 420 . . . . . . collect terms
  r ≤ 7 . . . . . . . . . . . divide by 60

Caleb can ride a maximum of 7 roller coasters and watch 4 shows in 345 minutes.


_____
The problem can obviously be worked using two equations instead of one equation and an inequality. It isn't clear until the final answer that the number of minutes comes out exactly the amount needed, which is why we chose an inequality.
5 0
4 years ago
Choose the solution for the equation 3(p+8) = 2(2p-1)
artcher [175]

Answer:

b) p=26

Step-by-step explanation:

3p + 3 · 8 = 2 ·2p  - 2

3p + 24  = 4p - 2

p = 26

4 0
3 years ago
Can someone help me with this?
Furkat [3]
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7 0
3 years ago
Write an equation in standard form of the line<br> With slope 2/5 and going through (-3,6).
german

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)

y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36

6 0
2 years ago
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Tomtit [17]
15,17,19 thats easy just keep adding two if you want to predict the next numbers
7 0
4 years ago
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