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Lemur [1.5K]
3 years ago
9

Twice the difference of a number and 8 is equal to three times the sum of the number and 7. Find the number.

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

The number is -37.

Step-by-step explanation:

2(x - 8) = 3(x + 7)

2x - 16 = 3x + 21

x = -37

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How many three-digit positive integers <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle"
Anastaziya [24]

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

  10x = 11

Its solutions are x = 23n +8.

3 0
3 years ago
Greater than 7 tens and less than 8 tens. The number has 4 ones
prohojiy [21]
Answer is 74. Greater than 70 less than 80 so some where in the 70s. It has 4 ones so it would be 74.
6 0
3 years ago
Morre Math HARDDDDDDDD
Dafna11 [192]

Answer:

the person above is right it's 4.5 units

give them the crown

7 0
2 years ago
(3^2 + 9x + 6) − (8^2 + 3x − 10) + (2x + 4)(3x − 7)
inna [77]
(12+9x) - (6+3x) + 6x + -3
6+3x + 6x+-3
3+ 9x
3 0
3 years ago
A cylindrical well has a radius of 8 feet and a height of 13 feet what is the volume of the well use 3.14 for pie round your ans
vitfil [10]
To find the volume of a cylinder, you use this formula:
V = \pir^{2}h

Plug in your numbers,
V = (3.14 * 8^{2}) * 13

Exponents:
V = (3.14 * 64) * 13

Parentheses:
V = 200.96 * 13

Multiply:
V = 2612.48ft^{2}
8 0
3 years ago
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