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3 years ago

Solve the equation 4(3y-1)-3(2y)=6

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

6 0

Answer:

$4(3y - 1) - 3(2y) = 6$

Remove backets

$12y - 4 - 6y = 6$

Group and Evaluate like terms

$12y - 6y = 6 + 4$

$6y = 10$

$y = 10 \div 6$

$y = 1.67$

$y = \frac{5}{3}$

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In a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh

poizon [28]

Answer:

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

Step-by-step explanation:

We know that in a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh term is equal to 6. Therefore, we have

$a_1+a_2=x\\a_3=x\\a_4=2x\\a_5=3x\\a_6=5x\\a_7=8x\\$

We know that:

$a_7=6\\\implies 8x=6\\x=\frac{3}{4}$

We get:

$a_1+a_2=x=\frac{3}{4}\\\\a_3=x=\frac{3}{4}\\\\a_4=2x=\frac{3}{2}\\\\a_5=3x=\frac{9}{4}\\\\a_6=5x=\frac{15}{4}\\\\a_7=8x=6\\\\a_8=13x=\frac{39}{4}\\\\a_9=21x=\frac{63}{4}\\\\a_{10}=34x=\frac{102}{4}\\$

Therefore, we calculate

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

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3 years ago

Mark, June & Henry share some money in the ratio 1 : 9 : 4.

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Simplify this expression 8+19m-6m

gladu [14]

I am pretty sure that it would be 13m + 8. All you have to do is combine the like terms.

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3 years ago

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Step-by-step explanation:

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3 years ago

Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34 (Given)

4x +20 = 9x + 4x − 34 (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)

54 = 9x (Combine Like Terms)

x = 54/9 (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

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2 years ago

Solve the equation 4(3y-1)-3(2y)=6​

Solve the equation 4(3y-1)-3(2y)=6