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Inga [223]
2 years ago
6

Use substitution to show that 9+6(10-7x) is equivalent to 69-42x. .

Mathematics
1 answer:
Leno4ka [110]2 years ago
4 0

Answer:

hope this helps

Step-by-step explanation:

9+6(10-7x)

9+60-42x

69-42x

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What is the circumference of a round pizza with an area of 36 square inches?
Mariulka [41]
To make it easier, aprox pi=3.14
area=pir^2
36=area
36=pir^2
divide both sides by pi
36/pi=r^2
36/3.14=r^2
11.464=r^2
square root both sides
3.39=r

circumfernce=2pir
r=3.39
circumfrence=2pi times 3.39
circumference=pi times 6.78
circumference=3.14 times 6.78
circumfernce=21.29
answer is
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3 years ago
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8 0
3 years ago
I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
Make y the subject of these equations.<br> by² = d<br> Jay = 6<br> ay - cy = d.<br> cy - b) = y
allsm [11]

Answer:

See all the answers  below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

6 0
3 years ago
X/4 + 5 = 8 <br><br>PLEASE HELP ME <br><br><br><br><br><br><br>​
shepuryov [24]

Answer:

hiii...hopefully this is correct x=12

5 0
3 years ago
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