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Amanda [17]
3 years ago
15

twenty of the students in Hannah's class, or 80% of the class, voted to have pizza for lunch every Wednesday. How many students

are in Hannah's class?
Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

There are 25 students in Hannah's class.

Step-by-step explanation:

If 20 students in Hannah's class is 80% of the total amount of students, we can use a variable to figure out the total amount of students.

Let's say x is the total amount of students. We can use this equation to solve the problem:

20 = .8x

This is saying 20 equals 80% (.8 when you move the decimal 2 times) of x, or the total amount of students. Let's solve.

20 = .8x

Divide by .8

25 = x

There are 25 students in Hannah's class.

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
What is 5,683 divided by 8
salantis [7]

Answer:710.375‬

Step-by-step explanation:

7 0
3 years ago
Math Mean Help Please!
klemol [59]
84.5 would be the answer if rounded to the nearest tenth
8 0
3 years ago
Read 2 more answers
Solve the equation. 4(2m – 1) = 16
ahrayia [7]

Answer:

8m-4=16

8m=20

m=2.5

Step-by-step explanation:

8 0
3 years ago
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four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban
beks73 [17]

Answer:

  • apple: £0.20
  • banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

  4a +b = 1.40

  7a +b = 2.00

Subtracting the first equation from the second gives ...

  (7a +b) -(4a +b) = (2.00) -(1.40)

  3a = 0.60 . . . . simplify

  a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

  4(0.20) +b = 1.40

  b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0
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