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kirza4 [7]
3 years ago
15

I need help with this problem:)

Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

11.5 for first question

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A recipe used 2/3 cup of sugar for every 2 teaspoon of vanilla. How much sugar was used per teaspoon of vanilla
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The correct answer would be 1/3 cup of sugar for every 1 teaspoon of vanilla, so A.

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3 0
3 years ago
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The side lengths of a triangle are given by the expressions 5x + 3, 5x – 5, and 3x – 2. Write and simplify a linear
rewona [7]

Answer:

The perimeter is P=13x-4

Step-by-step explanation:

The perimeter of a triangle is the distance around its edges.

The given triangle has side lengths 5x + 3, 5x – 5, and 3x – 2.

The perimeter is : P=(5x+3)+(5x-5)+(3x-2)

Group similar terms to get:

P=5x+5x+3x+3-5-2

Combine the similar terms to get: P=13x-4

Hence the perimeter in terms of x is P=13x-4

5 0
4 years ago
The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 15 c
vladimir2022 [97]

Answer:

Therefore the volume of the gas is 32 cubic feet.

Step-by-step explanation:

Given that,

The volume of a gas varies directly with its temperature and inversely with the pressure.

V\propto \frac{T}{P}

V= Volume of the gas at constant mass

T= Temperature at constant mass

P= pressure at constant mass

\frac{V_1}{V_2}=\frac{\frac{T_1}{T_2}}{\frac{P_1}{P_2}}

\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}.

Given that,

At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.

V_1=15 cubic feet, P_1=40 pound per square inch and T_1= 300 K

V_2=?, P_2=20 pound per square inch and T_2= 320k

\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}.

Plugging all values

\frac{15}{V_2}=\frac{300\times 20}{320\times 40}

\Rightarrow V_2=\frac{15\times 320\times 40}{300\times 20}{}

\Rightarrow V_2=32 cubic feet

Therefore the volume of the gas is 32 cubic feet.

4 0
3 years ago
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