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kykrilka [37]
2 years ago
7

Zip codes for the Houston area are five digit numbers with 7 as the first 2 digits of each zip code. The third digit can be 0, 3

, 4 or 5. The remaining digits can be any digit. How many possible zip codes are there in the Houston area
Mathematics
1 answer:
djyliett [7]2 years ago
6 0

Answer:

There are 400 possible zip codes in the Houston area

Step-by-step explanation:

Here, we want to calculate the possible number of zip codes in the Houston area

We have 5 digits to form

77 is the first two digits ( this is fixed)

For the third digit, we are selecting 1 number out of 0,3,4 or 5

This means 4 C 1

The remaining digits can be any digits

We have 0-9, a total of 10 digits

The first will be 10 C 1 and the second last digit too is 10 C 1

So the number of possible zip codes will be;

4 C 1 * 10 C 1 * 10 C 1

= 4 * 10 * 10 = 400 possible zip codes

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Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
vitfil [10]

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

8 0
2 years ago
Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f
stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = (x-3)

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ (10)(x) = $ (10x)

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $(10+7.50) = $17.50.

For (x-3) large driveways Carlos will charge = $ (17.50)(x-3) = $ (17.50x - 52.50)

Given, the total amount he makes = $140

So we can write the equation as,

10x + 17.50x - 52.50 = 140

27.50x + 52.50 = 140

We will move 52.50 to the right side by adding it to both sides. We will get,

27.50x - 52.50 + 52.50 = 140 + 52.50

27.50x = 192.50

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}

x =\frac{192.50}{52.50}

x = 7

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.


8 0
2 years ago
Reactant A can participate in both of these reactions:
user100 [1]
The activation energy is the amount of energy required to initiate a certain reaction. The activation energy may considered as an "energy barrier" that has to be overcome in order for a reaction to begin. If a reaction has a lower activation energy, then it will occur more easily and at a faster rate than a reaction with a higher activation energy. Therefore, the reason that reaction 1 is faster than reaction 2 is because it has a lower activation energy than reaction 2.
7 0
2 years ago
Read 2 more answers
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for thi
xxTIMURxx [149]
Simple...

you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

Thus, your answer.


7 0
2 years ago
Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.
AysviL [449]

Answer:

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

Step-by-step explanation:

Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".

To find : The percent decrease in the number of cheese sticks you can buy for $1 ?

Solution :

The formula used to find percent decrease is given by,

\%\text{ change}=\frac{\text{Amount of change}}{\text{Original amount }}\times 100

The price change from 10 to 2,

\%\text{ change}=\frac{10-2}{10}\times 100

\%\text{ change}=\frac{8}{10}\times 100

\%\text{ change}=80\%

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

7 0
2 years ago
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