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hodyreva [135]
3 years ago
5

- 20 + 5p - 7z 8x - 20y - 10

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

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Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer
Snowcat [4.5K]

Answer:

356 ft³ per month.

Step-by-step explanation:

From the question,

Water flows at a rate of 710 pints per day.

We shall convert 710 pints to cubic feet (ft³).

This can be obtained as follow:

1 pint = 0.0167 ft³

Therefore,

710 pints = 710 × 0.0167 = 11.857 ft³

From the calculations made above, 710 pints is equivalent to 11.857 ft³.

Thus, we can say that water flows at a rate of 11.857 ft³ per day.

Finally, we shall determine the rate of flow of water in cubic feet per month.

Note: there are 30 days in a month.

Water flow at a rate of 11.857 ft³ per day.

Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³

Thus, the flow rate of water is 356 ft³ per month.

3 0
3 years ago
Three times the sum of a number and two<br><br>3(2) + x<br><br>3(x+2)<br><br>3x + 2<br><br>2(x + 3)​
rodikova [14]

Answer:

3x + 2 =2x 3x = 2x - 2 3x - 2x = -2 x = -2 Proof: 3 * -2 + 2 = 2 * -2 -4 = -4

Step-by-step explanation:

3 0
2 years ago
Without a calculator how would you solve this?
mina [271]

Answer:

the largest number that is less than (2+√3)^6 is 2701

Step-by-step explanation:

\bigstar \ (2+\sqrt{3})^6= \\\\C{}^{0}_{6}2^{6}+C{}^{1}_{6}2^{5}\sqrt{3}^1+C{}^{2}_{6}2^{4}\sqrt{3}^2+C{}^{3}_{6}2^{3}\sqrt{3}^3+C{}^{4}_{6}2^{2}\sqrt{3}^4+C{}^{5}_{6}2^{1}\sqrt{3}^5+C{}^{6}_{6}\sqrt{3}^6

=64+192\sqrt{3}+720 +480\sqrt{3} +540+108\sqrt{3} +27\\=1351+780\sqrt{3}

\bigstar\  (2-\sqrt{3} )^6 =\\\\1351-780\sqrt{3}

\bigstar\  \bigstar\  (2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =\\\\1351+780\sqrt{3}+1351-780\sqrt{3}

\Longrightarrow(2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =2702

\Longrightarrow(2+\sqrt{3} )^6 =2702-(2-\sqrt{3} )^6

0 < \left( 2-\sqrt{3} \right) < 1 \Longrightarrow 0 < \left( 2-\sqrt{3} \right)^{6} < 1 \Longrightarrow-1 < \left( 2-\sqrt{3} \right)^{6} < 0

\Longrightarrow2702-1 < 2702-\left( 2-\sqrt{3} \right)^{6} < 2702+0

\Longrightarrow 2701 < \left( 2+\sqrt{3} \right)^{6} < 2702

8 0
2 years ago
1+4=5, 2+5=12, 3+6=21,8+11=
klemol [59]
The answer is 40 because once you have 21 your just adding 19 and then that makes it 40.
8 0
3 years ago
1 In the diagram below, AEFB || CGD, and GE and GF are drawn.
yan [13]
Approximately not 7.77777777777
8 0
3 years ago
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