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iren2701 [21]
2 years ago
9

On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many studen

ts were on each bus?
Mathematics
2 answers:
mr_godi [17]2 years ago
4 0

Answer:

Each bus could pick up 49 students

Step-by-step explanation:

(449-8):9=49

Ivanshal [37]2 years ago
3 0

Answer:

Number of students on each bus = 49

Step-by-step explanation:

On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars.

Total number of students = 449.

Number of students traveled in car = 8

Number of students traveled in bus = 449 - Number of students traveled in car = 8

Number of students traveled in bus = 449 - 8 = 441

Number of buses = 9

Number of students traveled in bus = Number of buses x number of students on each bus

441 = 9 x number of students on each bus

Number of students on each bus = 49

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Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the populati
Zigmanuir [339]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

3 0
1 year ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
1 year ago
Read 2 more answers
Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a
Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776  -  $1350 = $426

Tyrone markup rate = 426/24 = $17.75  per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248  - $950  = $298

Terri markup rate = 298/24 = $12.4166666667  = $12.42 per month

6 0
1 year ago
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
klasskru [66]

Answer:

PS = 7x- 7

Step-by-step explanation:

Given

Straight Line, PS

Such that

PR = 4x -2

RS = 3x - 5

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

PS = PR + RS

Substitute PR = 4x -2 and RS = 3x - 5

PS = 4x - 2 + 3x - 5

Collect like terms

PS = 4x + 3x- 2  - 5

PS = 7x- 7

Hence, the length of PS is PS = 7x- 7

8 0
1 year ago
Trapezoid EFGH has coordinates E(−3, 4) , F(1, 4), G(3, 1) , and H(−5, 1) . Trapezoid E'F'G'H' has coordinates E′(−12, 16) , F′(
julia-pushkina [17]
I believe that the answer would be C
8 0
1 year ago
Read 2 more answers
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