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zvonat [6]
3 years ago
10

Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What

are the possible numbers of minutes
Lucy could add water?
Use i for the number of minutes.
Write your answer as an inequality solved for t.​
Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

Step-by-step explanation:

14 + 5t > = 49 (thats a greater then or equal sign)

5t > = 49 - 14

5t > = 35

t > = 35/5

t > = 7 <===

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Simplify and solve this equation: 4m+9+5m-12=42
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First you combine like variables
9m - 3 = 42
then add both sides
9m = 45
then divide whats left
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3 years ago
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a bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. a random sample of 120 homeown
Oksi-84 [34.3K]

Answer:

[ 1,532.41, 1,617.59]

Step-by-step explanation:

Data provided :

Sample size, n = 120

Mean = $1,575

Standard deviation = $215

Confidence level = 97%

Now,

Confidence interval = Mean ± z\frac{\sigma}{\sqrt n}

also,

for 97% confidence level z score = 2.17   [from standard z-table]

= $1,575 ± 2.17\frac{215}{\sqrt {120}}

= $1,575 ± 42.59

Therefore,

Confidence interval = [ $1,575 - 42.59, $1,575 + 42.59]

= [ 1,532.41, 1,617.59]

4 0
3 years ago
Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
Serggg [28]

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

8 0
3 years ago
A number that is being divided by another number is called the
dlinn [17]

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dividend

Step-by-step explanation:

8 0
3 years ago
A movie Theater charges $6.50 for morning tickets and $8.75 for night tickets the theater sold 378 tickets for a total amount of
Xelga [282]

Answer:

The number of sold morning tickets are 168.

Step-by-step explanation:

Given,

Total number of tickets = 378

Total earned amount = $2929.50

Charge of each morning ticket = $6.50

Charge of each night ticket = $8.75

Solution,

Let the number of morning tickets be 'x'.

And also let the number of night tickets be 'y'.

So, the total number of tickets is the sum of number of morning tickets and number of evening tickets.

So, framing in equation form, we get;

x+y=378\ \ \ \ equation\ 1

Again, Total earned amount is the sum of number of morning tickets multiplied with charge of each ticket and number of evening tickets multiplied with charge of each ticket.

So, framing in equation form, we get;

6.50x+8.75y=2929.50\ \ \ equation\ 2

On multiplying equation 2 by 100 on both side, we get;

100(6.50x+8.75y)=2929.50\times100\\\\650x+875y=292950\ \ \ \ equation\ 3

Now multiplying equation 1 by '650', we get;

650(x+y)=378\times650\\\\650x+650y=245700\ \ \ \ equation\ 4

Now subtracting equation 4 from equation 3, we get;

(650x+875y)-(650x+650y)=292950-245700\\\\650x+875y-650x-650y=47250\\\\225y=47250\\\\y=\frac{47250}{225}=210

Now substituting the value of'y' in equation 1, we get;

x+y=378\\\\x+210=378\\\\x=378-210=168

Hence The number of sold morning tickets are 168.

Whereas The number of sold night tickets are 210.

5 0
3 years ago
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