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2 years ago

Solve 3(4x + 5) = 33

Mathematics

2 answers:

Scorpion4ik [409]2 years ago

7 0

Answer:

3(4x+5)=33

open the brackets(multiply both by 3)

12x+15=33

Minus 15

12x=18

x=1.5 (18/12)

soldi70 [24.7K]2 years ago

6 0

Step-by-step explanation:

$3(4x + 5) = 33 \\ \\ \therefore \: 12x + 15 = 33 \\ \\ \therefore \: 12x = 33 - 15 \\ \\ \therefore \: 12x = 18 \\ \\ \therefore \:x = \frac{18}{12} \\ \\ \huge \red{ \boxed { \bold{ \therefore \:x = 1.5}}}$

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2 years ago

The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to

DerKrebs [107]

Answer:

Option 4 is correct.

The equation $4x^2 -24x + 4y^2 + 72y = 76$ is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

Step-by-step explanation:'

Given equation: $4x^2 -24x + 4y^2 + 72y = 76$

First group the terms with x and those with y;

$(4x^2-24x)+(4y^2+72y) = 76$

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒ $4(x^2-6x) +4(y+18y) = 76$

$4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76$

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Add 360 on both sides we get;

$4(x-3)^2 + 4(y+9)^2 =360 +76$

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$4(x-3)^2 + 4(y+9)^2 =436$

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of

noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

$x = \frac{225}{300}$

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

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x = 1000*0.75

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Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0

2 years ago

Solve 3(4x + 5) = 33​

Solve 3(4x + 5) = 33