X, x+1, x+2, x+3 - four consecutive integers

$x+x+1+x+2+x+3=682 \\
4x+6=682 \ \ \ |-6 \\
4x=676 \ \ \ |\div 4 \\
x=169 \\ \\
x+1=169+1=170 \\
x+2=169+2=171 \\
x+3=169+3=172$

The integers are 169, 170, 171 and 172.

7 0

3 years ago

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Jim’s soccer team has a record of 12 wins and 8 losses. Which team below has the same rate of wins and losses?

Kipish [7]

Answer:

D. a basketball team with 18 wins and 14 losses

Step-by-step explanation:

Question. 12 wins - 8 loses = 4

D. 18 wins - 14 loses = 4

3 0

2 years ago

The width of a human hair is about 1* 10^-4 meter wide.

Licemer1 [7]

Answer: The answer is 7.

Step-by-step explanation:

1*10^-4 equals 0.001 and 7*10^-4 equals 0.007 so 0.007 divided by 0.001 is 7. I hope this makes sense !

7 0

2 years ago

Compute F(s), the Laplace transform of f(t) = e^(5t) (t^2 +4t +7)

MakcuM [25]

Recall that

$\mathcal L_s\{t^ne^{ct}\}=\dfrac{n!}{(s-c)^{n+1}}$

Then

$F(s)=\dfrac2{(s-5)^3}+\dfrac4{(s-5)^2}+\dfrac7{s-5}$

3 0

3 years ago