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1 year ago

There are 60 people waiting for a river raft ride. Each raft holds

Mathematics

1 answer:

andrey2020 [161]1 year ago

8 0

If there are 60 people waiting for a river raft ride. Each raft holds

15 people. how Silvia's work can be used to find the number

of rafts needed is: total number of people/Number of people holded by each raft.

<h3>Number of rafts needed</h3>

Using this formula

There are 136 people waiting for a river raft ride each raft holds 8 people.

Number of rafts needed=Number of people/Capacity of raft

Where:

Number of people = 60

Capacity of raft = 15 people

Let plug in the formula

Number of rafts needed=60/15

Number of rafts needed=4 rafts needed

Therefore if raft holds 15 people. how Silvia's work can be used to find the number of rafts needed is: total number of people/<em>Number </em>of people holded by each raft.

Learn more about Number of rafts needed here:brainly.com/question/8361379
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the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho

trasher [3.6K]

Answer:

see below

Step-by-step explanation: 5 23 8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg = x

longer leg = x + 9

hypotenuse = 2x - 9

Pythagorean theorem = a² + b² = c²

shorter-leg² + longer-leg² = hypotenuse²

x² + (x+9)² = (2x - 9)² solve for x

x² + (x+9) (x+9) = (2x - 9)(2x - 9)

x² + (x²+18x+81) = (4x² - 36x + 81)

(2x²+18x+81) = (4x² - 36x + 81)

0 = 2x² -54x

0 = x(2x - 54)

0 = x and 0 = 2x -54

54 = 2x

27 = x

shorter leg = 27

longer leg = 36

hypotenuse = 45

divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct

6 0

2 years ago

There were 35,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paper

bija089 [108]

Answer:

3,717,000

Step-by-step explanation:

The calculation of paperback copies is shown below:-

Let us assume hardback copies is x, so paperback copies will be 9x

now the equation is

35,000 + x + 9x = 448,000

10x = 448,000 - 35,000

10x = 413,000

$= \frac{413,000}{10}$

= 41,300

Therefore, the paperback copies are

= $9\times 41,300$

= 3,717,000

Hence, the paperback copies is 3,717,000

4 0

2 years ago

Write the first four terms of the sequence. rule start at 5 1/2, add 1 1/5

Hitman42 [59]

Answer:

$5\frac{1}{2},6\frac{7}{10},7\frac{9}{10},9\frac{1}{10}$

Step-by-step explanation:

The first term of the sequence is

$a_1=5\frac{1}{2}$

To find the second term add $1\frac{1}{5}$ to the first term;

$a_2=5\frac{1}{2}+1\frac{1}{5}=6\frac{7}{10}$

To find the third term add $1\frac{1}{5}$ to the second term;

$a_3=6\frac{7}{10}+1\frac{1}{5}=7\frac{9}{10}$

To find the fourth term add $1\frac{1}{5}$ to the third term;

$a_4=7\frac{9}{10}+1\frac{1}{5}=9\frac{1}{10}$

The first four terms are

$5\frac{1}{2},6\frac{7}{10},7\frac{9}{10},9\frac{1}{10}$

7 0

2 years ago

Diana has been saving nickels and dimes. She opened up her piggy bank and determined that it contained 48 coins worth $4.50. Det

tino4ka555 [31]

Answer:

6 Nickels

42 Dimes

Step-by-step explanation:

There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:

n + d = 48

n = 48 - d

In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:

0.05n + 0.10d = 4.50

Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:

$0.05n + 0.10d = 4.50\\0.05(48-d) + 0.10d = 4.50\\2.4-0.05d+0.10d=4.50\\0.05d=4.50-2.4\\0.05d=2.1\\d=\frac{2.1}{0.05}=42$

So, there are 42 dimes.

We know from before, n = 48 - d, so

n = 48 - 42 = 6

There are 6 nickels

3 0

2 years ago

Which of the following is equal to the expression listed below?

sergey [27]

B be because
8*3+8*2=24+16

5 0

3 years ago