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frez [133]
3 years ago
15

Algebra There were 4 times the number of students in fourth grade at the basketball game.How many students attended the basketba

ll game? Write and solve an equation.

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

200 students attended the basketball game

Step-by-step explanation:

The complete question in the attached figure

Let

x ------> the number of students in fourth grade

s -----> the number of students at the basketball game

we know that

The number of students at the basketball game is four times the number of students in fourth grade

so

The linear expression is

s=4x -----> equation A

x=50\ students\ in\ fourth\ grade -----> equation B

substitute equation B in equation A and solve for y

s=4(50)

s=200\ students\ at\ the\ basketball\ game

therefore

200 students attended the basketball game

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Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal
lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years = x(1+0.05)^{2}\cdots(i)

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years = (82000-x)(1+0.05)^{3}\cdots(ii)

As both the amounts are equal, so from equation (i) and (ii)

x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0
3 years ago
A spinner has three colors: red, blue, abd yellow. The red and blue sectors are the same size. If you spin twice, the probabilit
givi [52]

Answer:

36%

Step-by-step explanation:

Red and blue is 8%

and= multiply

0.08 unmultiply = 0.64 or 64%

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3 years ago
Venla is 5 years older than her cousin Kora. How old is Kora when Venla is 18 years old?
krek1111 [17]

Answer:

kora is 13

Step-by-step explanation:

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Answer:

70 apples

Step-by-step explanation:

We can use a ratio to solve

7 apples        x apples

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Using cross products

7 * 500 = 50x

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