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ser-zykov [4K]
3 years ago
9

A college writing seminar increased its size by 50\PP, percent from the first to the second day. If the total number of students

in the seminar on the second day was 151515, how many students were in the class on the first day
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer: There were 10 students in the class on the first day.

Step-by-step explanation:

Let x be the number of students of the first day.

Given: A college writing seminar increased its size by 50 percent from the first to the second day.

i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)

= x +50% of x

= x+0.50x

= (1.50)x

=1.50x

Since, it is given that  the total number of students in the seminar on the second day was 15.

i.e. 1.50x=15

\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10

Hence, there were 10 students in the class on the first day.

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Anna [14]

Answer:

1)  -8(9n-10) - 20

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Can't factor

2) 90n+54

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5) -160n

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3 0
3 years ago
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David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, afte
Elina [12.6K]

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

d =19\%

The price (p) of the item is given as:

p = \$32

So, the amount (A) paid before tax is calculated using:

A = p \times (1 - d)

Substitute known values

A = \$32 \times (1 - 19\%)

Express percentage as decimal

A = \$32 \times (1 - 0.19)

Subtract 0.19 from 1

A = \$32 \times 0.81

Multiply 32 and 0.81

A = \$25.92

Hence, David will pay $25 and 92 cents for an item of $32, before tax

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3 0
2 years ago
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3
Levart [38]

Answer:

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Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

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So we divide;

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We can use long division to get this

using long division, the answer here is x-4

5 0
3 years ago
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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

P(1) = 24e^k = 48

e^k = 2

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Dmitriy789 [7]

Answer:

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