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Mila [183]
3 years ago
13

Solve the inequality.

Mathematics
2 answers:
nignag [31]3 years ago
8 0
Whenever you are working with inequalities, you want to first isolate the variable by doing the inverse of what was already done.

42<-6d
They have multiplied d by -6, so we have to divide both sides by -6. -6/-6=1. 42/-6 is -7. When you multiply/divide by a negative number, you have to flip the inequality sign. So we have -7<d, or d>-7. Flip the sign and you have d<-7, so your answer is A.
makkiz [27]3 years ago
5 0
The answer is C. Divide by -6 on both sides. The sign is flipped when you divide by a negative that's why its C and not A
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Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked
Nimfa-mama [501]

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

Speed = \frac{Distance}{Time}

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

Speed = \frac{Distance}{Time}

Speed = \frac{4/5  miles}{1/3hour}

Speed = \frac{4}{5} \times \frac{3}{1}

Speed = \frac{12}{5}

Speed = 2.4 miles/hour

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

Speed = \frac{Distance}{Time}

Speed = \frac{5/6miles}{5/12 hour}

Speed = \frac{5}{6} \times \frac{12}{5}

Speed = 2 miles/hour

Hence, Kamlee's speed is 2 miles/hour

4 0
3 years ago
The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will
jasenka [17]

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

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Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

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The 0's keep adding up and up and up is q
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Paraphin [41]

Answer:

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Step-by-step explanation:

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