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3 years ago

What equations are equivalent to 6x+9=12 ?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

x = ½

x = 0.5

Step-by-step explanation:

$6x + 9 = 12$

Collect like terms and simplify

$6x = 12 - 9 \\ 6x = 3$

Divide both sides of the equation by 6

$\frac{6x}{6} = \frac{3}{6} \\ \\ x = \frac{1}{2}$

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A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim

STALIN [3.7K]

Answer:

The inequality is $5.5n \leq 45$

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

$T = 2n + 3.5n = 5.5n$

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

$T \leq 45$

$5.5n \leq 45$

The inequality is $5.5n \leq 45$

5 0

3 years ago

How would the expression x^3-8 be written using difference of cubes

ludmilkaskok [199]

we can use formula

$a^3-b^3=(a-b)(a^2+ab+b^2)$

we can compare

we get

a=x

b=2

now, we can plug that in formula

and we get

$x^3-2^3=(x-2)(x^2+2x+2^2)$

now, we can simplify it

$x^3-8=(x-2)(x^2+2x+4)$ ...........Answer

4 0

3 years ago

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Find the median of the following set of numbers:<br> 3,12,4,6,8,5,4

natulia [17]

Answer:

el 5

Step-by-step explanation:

La mediana es el número intermedio de un grupo de números; es decir, la mitad de los números

Primero se acomodan de menor a mayor y luego ubicaras el número que queda en medio

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3 years ago

Keelah's clothing store buys coats for $50 and then sells them for $80 .what is the percent of mark up on the price of the coat

meriva

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3 years ago

What is 11/12 divided 2 5/8

lisov135 [29]

Answer:

2 2/21

Step-by-step explanation:

11/2 ÷ 2 5/8

= 11/2 ÷ 21/8

= 11/2 × 8/21

= 88/42

= 44/21

= 2 2/21

Hence 11/2÷2 5/8 is 2 2/21

4 0

3 years ago

What equations are equivalent to 6x+9=12 ?​

What equations are equivalent to 6x+9=12 ?