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Novay_Z [31]
3 years ago
14

Solve 5(x − 8) = 50.

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

5(x − 8) = 50.

5x-40=50

+40              +40

5x/5=90/5

x=18

sladkih [1.3K]3 years ago
4 0

Answer:

x = 18

Step-by-step explanation:

5(x - 8) = 50

Divide both sides by 5.

x - 8 = 10

Add 8 to both sides.

x = 18

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How many years will it take for a person in the United States eat 1,120 pounds of turkey (14 pounds)
Liono4ka [1.6K]
If I understand you, a person eats about 14 pounds of turkey a year.  So we will divide all that turkey (1120 pounds) by 14 to find out how many years.

1,120 ÷ 14 = 80   So it will take 80 years.   (Since babies can't eat that much turkey a year it will actually take more than 80 years - or the person can eat more than 14 pounds in some years to make up for their early years when they ate less)  I know it's a math question, but I also like to be realistic about it.  Who measures the amount of turkey they eat yearly anyway?  :-)
3 0
3 years ago
Is a triangle whose side measure 12 ft, 16 ft and 20 ft a right triangle?
tensa zangetsu [6.8K]

Answer:

This is a Right Triangle

Step-by-step explanation:

12=a 16=b 20=c

Now lets solve

a^2+b^2=c^2

144+b^2=c^2

144+256=c^2

144+256=400

c^2=400

The square root of 400 is 20..

This IS a Right Triangle

7 0
3 years ago
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 En
marusya05 [52]

Answer:

-2  1/2

Explanation :

took the test on ed

7 0
2 years ago
Read 2 more answers
Please help asap!! Due today!
Elena-2011 [213]

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

5 0
2 years ago
A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum
Ivan

Answer:

Differential equation

\frac{dy}{dt} =ky(1-y)

Solution

y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

\frac{dy}{dt} =ky(1-y)

Solving the differential equation

\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}

Initial conditions:

y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48

The rumor reaches 80% at 8.48 days.

8 0
3 years ago
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