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3 years ago

11

A chef makes 3 containers of soup that fills a total of 120 soup bowls. Each container of soup coasts $30 to make. What is the c

oast per bowl for the soup

1 answer:

xxMikexx [17]3 years ago

4 0

Answer:

1.333333333.....$

Step-by-step explanation:

Container = C

Bowl = B

Question : Value of B ?

3C = 120 Bowls

C = 40 Bowls for 30$

B = $\frac{40}{30} = \frac{4}{3} = 1.3333..........$ $

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Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.

Svetach [21]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}$

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3 years ago

If candy canes cost .89 a dozen,how much would it cost to buy candy canes for a school with 400 students

IRINA_888 [86]

400/12 = # of dozen needed
.89 * # of dozen needed
400/12=33.33 need 34 dozen
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8 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0

3 years ago

What is the equation written in vertex form of a parabola with a vertex of (–1, 8) that passes through (1, 0)?

Archy [21]

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

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3 years ago

Marina thinks the cost to rent scooters was $100 .The actual price is $150.What is Marina's percent error?

zvonat [6]

The percent error is 33.3%

6 0

3 years ago

Read 2 more answers