Ask question

Ask question

All categories

2 years ago

6

Twelve members of a band purchase one beverage each during a break at practice. Exactly 5 of the 12 members bought bottled water

. At this rate, how many band members would you expect to buy bottled water, if all 168 members purchase a beverage?

1 answer:

Hoochie [10]2 years ago

8 0

Answer:

70

Step-by-step explanation:

You have to use ratios. If 5 of 12 members bought water, then x of 168 members will buy water.

$\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70$

70 members will buy bottled water.

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B42%7D%7B%20%5Csqrt%7B28%7D%20%7D%20%2B%20%5Cfrac%7B60%7D%7B45%7D%20-%202%20%5Csqr

chubhunter [2.5K]

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by $\sqrt{28}$ which gives us $\frac{42\sqrt{28} }{28}$ we can then factor the 28 into sqrt(7,2,2) which simplifies to $42*2\sqrt{7}$ /28 So then we can simplify this and get $3\sqrt{7}$ We then can simplify the rest of these radicals and get $2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}$ and $2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7}$ This means that so far we have the following: $3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7}$ We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

5 0

2 years ago

9 burgers and 1 doughnut cost $31.30. 3 doughnuts and 6 burgers cost $26.70. Find the cost of 2 burgers.

kirill [66]

Step-by-step explanation:

Let assume that

Cost of 1 burger = $ x

Cost of 1 doughnuts = $ y

According to statement, 9 burgers and 1 doughnut cost $ 31.30

$\begin{gathered}\sf \: 9x + y = 31.3 \\ \\ \end{gathered}$

$\begin{gathered}\sf\implies \sf \: y = 31.3 - 9x - - - (1) \\ \\ \end{gathered}$

According to statement again, 3 doughnuts and 6 burgers cost $ 26.70

$\begin{gathered}\sf \: 6x + 3y = 26.7 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 3(2x + y) = 26.7 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 2x + y = 8.9 \\ \\ \end{gathered}$

On substituting the value of y from equation (1), we get

$\begin{gathered}\sf \: 2x + 31.3 - 9x = 8.9 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 31.3 - 7x = 8.9 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: - 7x = 8.9 - 31.3 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: - 7x = - 22.4 \\ \\ \end{gathered}$

$\begin{gathered}\bf\implies \: x = 3.2 \\ \\ \end{gathered}$

So,

Cost of 2 burgers = 3.2 × 2 = <u>$ 6.4</u>

5 0

1 year ago

Read 2 more answers

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows

harina [27]

The "unit rate" appears to be $20 per ticket.

7 0

2 years ago

Lester and kari are playing a number pattern game. kari wrote the following pattern. 45.5,49,52.5,__,59.5

Anit [1.1K]

The answer is going to be 3.5 more than 52.5 so the answer is 56.

7 0

3 years ago

A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer

GalinKa [24]

Answer: $19.31\ ft$

Step-by-step explanation:

Given

The tower is at a height of $h=20\ ft$

the angle of depression is $15^{\circ}$

Suppose the surfer is x ft away from the base of the tower

$\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft$

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0

2 years ago