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olga2289 [7]
3 years ago
7

Serena is trying to become more environmentally conscious by making her own cleaning products. She researches different cleaners

and decides to make furniture polish using olive oil and lemon juice. Shewants to make enough to fill two 24-ounce bottles.
a. Write an equation in standard form that relates the amount of olive oil and lemon juice to the total amount of mixture Serena wants to make. Use x to represent the amount of lemon juice and y to represent the amount of olive oil.

b. The recommendation for the mixture is that the amount of olive oil be twice the amount of lemon juice. Write an equation in terms of x and y as defined in part (a) that represents this situation. *

c. Use substitution to solve the system of equations. Give the solution as an ordered pair. Check your answer. *

d. What does the solution of the system represent in terms of the mixture?
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0
56 is the right answer
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After 7 years there will be $11358.24 in the account.
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Please give me the answers to all three I will mark u brilliant
elixir [45]

Answer:

First know the formula for the area of a circle;

<h2>A = πr^{2}</h2>

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our <u>diameter</u>.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, <u>6</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(6^2)

A = 3.14(36)

A = <u>113.04 centimetres</u> is the area of the circle.

For the second problem, we can see that 18 is our <u>diameter</u>.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, <u>9</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(9^2)

A = 3.14(81)

A = <u>254.34 inches</u> is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = πr^{2}

A = 3.14(5^2)

A = 3.14(25)

A = <u>78.5 meters</u> is the area for this circle.

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A big bag of starbursts has 96 pieces. Some are pink and the rest are yellow. There is one yellow starburst for every 15 pink st
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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

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What’s the conjugate of 2x+3
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Answer:

2x-3

Step-by-step explanation:

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