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Gennadij [26K]
3 years ago
5

during the 31 nights of October , Keith kept track of his sleep. he slept a total of 297 hours . How many hours of sleep did he

average each night ?
Mathematics
1 answer:
love history [14]3 years ago
3 0

297/31 = 9.6 hours

i think

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Which point satisfies the system of equations y= 3x - 2 and y=-2x + 3?
monitta

Answer:

The points which satisfy the given lines is ( 1 , 1 )  

Step-by-step explanation:

Given as :

The equation of lines is

y = 3 x - 2         ........    1  And

y = - 2 x + 3      ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or,   5 x = 5

So ,     x = \frac{5}{5} = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴,  the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 )  Answer

5 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
Solve the system of equations 5x-2y=88 3x+4y=58 show all work
diamong [38]
The given equations are:

5x - 2y = 88
3x + 4y =  58

Multiplying the 1st equation by 2, we get the new set of equations as:

10x - 4y = 176
3x + 4y = 58

Adding the two equations, we get:

10x - 4y + 3x + 4y = 176 + 58
13x =234
x =  18

Using the value of x in 1st equation, we get:

5(18) - 2y = 88
- 2y = 88 -5(18)
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y = 1

So, the solution of the equation is (18, 1)

6 0
3 years ago
Read 2 more answers
Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if
Alborosie
\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}

\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0

\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1
4 0
4 years ago
Calculate the value of x. Roundto nearest tenth<br> A=29.7<br> B=6.3<br> C=0.2<br> D=14.5
lidiya [134]
B. 6.3 Because, for a triangle, you can use the angles to figure out the length. You can also tell that it can’t be D or A because it’s not longer than the base and it’s not small enough to be C.
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