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3 years ago

There are 8 students on the minibus. Five of the students are boys. What fraction of the students are boys?

Mathematics

2 answers:

Mariulka [41]3 years ago

5 0

There are 5/8 that is the answer

NISA [10]3 years ago

5 0

The answer is 5/8 of the students of the bus were boys. This means that 62% or 0.625 of the students were boys.

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

2 years ago

Read 2 more answers

80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 whats the mean

Contact [7]

Answer:

sum up the numbers and divide by the numbers of values.

80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14

1135/14

= 81•1 is the mean

5 0

2 years ago

What is the vertex of y = x2 + 2x +2<br> O (1,-1)<br> O (2,-2)<br> O (1, 2)<br> 0 (-1, 1)

fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - $\frac{b}{2a}$

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - $\frac{2}{2}$ = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0

2 years ago

How do I find the side lengths for this triangle if only one side and ond angle is given? Plz help

alexandr1967 [171]

The two unknown sides are equal to each other so then the two unknown angles are also equal.

A triangle angles add up to 180
36 + 2x = 180
2x = 180 - 36
2x = 144
unknown angles x = 72°

draw line down center of triangle to make two right triangles with side 22/2 = 11. SOH CAH TOA

cos(72) = 11/H
H = 11/cos(72)
H = 35.6

perimeter = 22 + 2(35.6)
perimeter = 93.2 cm

answer E .

8 0

3 years ago

State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations. 5X=59

Zigmanuir [339]

The value of x in the equation is 59/5

<h3>How to solve for x?</h3>

The equation is given as:

5x = 59

Divide both sides by 5

x = 59/5

This means that the value of x in the equation is 59/5

To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59