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likoan [24]
4 years ago
6

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week

? (there are 16 gallons in a cup)
Mathematics
2 answers:
svetlana [45]4 years ago
6 0
0.5 gallons / 1 day × 16 cups / 1 gallon × 7 days / 1 week
musickatia [10]4 years ago
4 0

Answer with Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day.

There are 16 gallons in a cup.

There are 1 gallons in 1/16 cup

1/2 gallons in 1/32 cup.

i.e. Katrina drinks 1/32 cups of water per day

Katrina drinks 7×1/32 cup of water in a week.

(since, 1 week=7 days)

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How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers probabi
yarga [219]

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

  • Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.
  • Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

Know more about "permutations and combinations" here: brainly.com/question/13387529

#SPJ6

3 0
2 years ago
Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students,
MAXImum [283]

Answer:

D. 54%

Step-by-step explanation:

For simplicity, lets assume we have 100 students in high school.

30% of students face disciplinary action, therefore;

⇒ (30/100) x 100 = 30 students.

of these 30 students, 40% go to college. therefore;

⇒ (40/100) x 30 = 12 students (go to college)

Also 70% of students do not face disciplinary action, therefore;

⇒ (70/100) x 100 = 70 students.

of these 70 students. 60% go to college. therefore;

⇒ (60/100) x 70 = 42 students (go to college)

Total number of students who go to college

⇒ 12 + 42 =  54 students

% of students who go to college

⇒ 54/100 = 54%

7 0
3 years ago
Bill has a container that is shaped like a cube. He uses 125 cubes with a side length of 1 inch to fill the container completely
Annette [7]

Answer:

5 inches

Step-by-step explanation:

Given

Length of a cube = 1 inch

Required

Determine the edge length of the cube

If the container can take 125 cubes, then that's the volume

So:

Volume = 125in^3

Volume of a cube is calculated as thus;

Volume = Length^3

This gives;

Length^3 = 125

Take cube root of both sides

Length = \sqrt[3]{125}

Length = 5

Hence, the length is 5 inches

7 0
3 years ago
I will Brainliest. Plz anyone don't scam if it so I will report then the users account will be got deleted.
Alex Ar [27]

Answer:

Step-by-step explanation:

i)  1

ii) see attached

iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3

iv) y = (x - 2)² - 3

v) -3 < t < 1

if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3

if t = -3, y = t intersects the curve at only one point, (2, -3)

if -3 < t < 1 there exist two intersecting points with positive x values

if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.

if t > 1 there is one positive x value intersection and one negative x value intersection.

7 0
3 years ago
Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t
likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

P =25000 -- the principal amount

R = 4\% -- the interest rate

T=1 --- the duration

The amount to pay back in this duration is then calculated using:

A = P(1 + RT)

So, we have:

A = 25000(1 + 4\% \times 1)

A = 25000(1 + 4\% )

Express percentage as decimal

A = 25000(1 + 0.04)

A = 25000(1 .04)\\

Multiply

A = 26000

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0
3 years ago
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