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Sauron [17]
3 years ago
7

50 POINTS! + Brainliest Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds o

f potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?/
Carrots cost $1.50 a pound, which is less than potatoes cost.


Carrots cost $1.75 a pound, which is more than potatoes cost.


Carrots cost $1.75 a pound, which is less than potatoes cost.


Carrots cost $1.50 a pound, which is more than potatoes cost.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

3 0
3 years ago
Which simplified ratio correctly compares 5 meters to 100 centimeters
Greeley [361]
5:1 since 100 cm is = to 1 meter
5 0
4 years ago
The area of a rectangular field is 8811 m2. if the width of the field is 89m, what is the length?
xeze [42]
Length = 99 because...
since you multiply to get the area, in order to find the missing term of an area (in this case its length), you do the opposite of what you started with...so if you multiplied to get the area, you need to divide to get the missing side...
so 8811 divided by 89 = 99
99 x 89 = 8811
4 0
3 years ago
A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and test
frutty [35]

Answer:

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.68

The margin of error is:

M = T*s = 2.1315*3645.94 = 7771.3

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60139.7 - 7771.3 = 52,368.4.

The upper end of the interval is the sample mean added to M. So it is 60139.7 + 7771.3 = 67,911.

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

3 0
3 years ago
Read 2 more answers
3x-7=4x+10 <br> show the steps pleeease
Fudgin [204]

Answer:

-17

Step-by-step explanation:

3x-7=4x+10

Add 7 to both sides & simplify

3x-7=4x+10

+7           +7

3x=4x+17

Subtract 4x from both sides & simplify

3x=4x+17

-4x  -4x

-x=17

*Negative x equals -1*

Divide both sides by -1 & simplify

\frac{-x}{-1} =\frac{-17}{-1}

x=-17

3 0
3 years ago
Read 2 more answers
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