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3 years ago

3(x+5)=2(3x-2) Help please! will mark brainliest!

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

x=19/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+5)=2(3x−2)

3x+15=6x+−4

3x+15=6x−4

Step 2: Subtract 6x from both sides.

3x+15−6x=6x−4−6x

−3x+15=−4

Step 3: Subtract 15 from both sides.

−3x+15−15=−4−15

−3x=−19

Step 4: Divide both sides by -3.

−3x

−3

=−19−3

x=19/3

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4 years ago

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4 years ago

Celia has some cakes.

Vadim26 [7]

The carrot cakes are the fraction of the cake given by $1 - \frac{6}{7}$ multiplied by $\frac{1}{3}$

The fraction of the cakes that are carrot cakes is $\underline {\dfrac{1}{21}}$

<h3>How are the cakes evaluated as fractions?</h3>

The fraction of the cake that are chocolate cake = $\dfrac{2}{3}$

The fraction of the remaining cake that cheesecakes = $\dfrac{6}{7}$

The rest of the cakes = carrot cakes

Required:

The fraction of the cake that are carrot cakes

Solution:

The fraction of the cakes that are not chocolate cake = $1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}$

The fraction of the remaining cakes that are cheesecake = $\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}$

The fraction of the cake that are carrot cake = $\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}$

The fraction of the cakes that are carrot cake is $\underline{\dfrac{1}{21}}$

Learn more about fractions here:

brainly.com/question/3840488

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2 years ago