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3 years ago

9

Mr. Koury uses 9 carrots each time he makes a carrot cake. He has orders for 3 cakes. Complete the equation below to show how ma

ny carrots Mr. Koury will use to complete these orders.

1 answer:

hammer [34]3 years ago

7 0

You didn’t post the equation but to solve this you multiply 9 by 3 which equals 27.

Hope this helps and hope you have a great day. Feel free to text the equation. Please make brainiest

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(5x+2)[3(x+14)]<br><br> what is the value of x

Julli [10]

Here it is. You can also use the quadratic equation to find the answer.

5 0

3 years ago

If y varies inversely as x and y = 27 when x = 12 , find x when y = - 9 .

Sergio039 [100]

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y = $\frac{324}{x}$ ← is the equation of variation

When y = - 9, then

- 9 = $\frac{324}{x}$ ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

3 0

3 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago

The surface area of a prism is 54 square inches. What is the surface area of a similar prism that is smaller by a scale 1/3

Anna11 [10]

Answer:

18 square inches

Step-by-step explanation:

Surface Area of original prism: 54 square inches

Surface Area of similar prism:

1/3 x 54

=18 square inches

6 0

3 years ago

explain how the position of the decimal point changes in a quote as you divide by increasing powers of 10

Marianna [84]

If you have 20/10, that equals 2. Then if you move the decimal place over 1 place then you have 2. If you divide 2 again by 10, then move the decimal place over in another place, it is equaling 0.2.

6 0

3 years ago

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