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3 years ago

Three consecutive odd integers have a sum of 27. What is the greatest of these integers?

Mathematics

1 answer:

Gnoma [55]3 years ago

6 0

Answer:

Step-by-step explanation:

The middle of the three is their average, their sum divided by 3:

middle = 27/3 = 9

Then the largest is 2 more. It is 11.

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Solve the equation for y.<br><br> 6y+x=8

iVinArrow [24]

Answer:

The correct answer is $\bold{y = -\frac{1}{6}x+\frac{4}{3}}$ .

Step-by-step explanation:

We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.

$6y + x = 8 \ $\tex Subtract x from both sides of the equation.$

$6y + x - x = 8 - x \ $\tex Carry out the operation.$

$6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.$

$6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).$

$6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.$

$\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.$

$y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.$

Because we have the <em>y</em>-variable isolated from the rest of the equation, we are done!

6 0

2 years ago

Which equations support the fact that rational numbers are closed under subtraction?

Illusion [34]

Answer:

A rational number is said to be closed if the subtracted values and the result obtained are rational. Hence, the equations which supports the condition are :

5.5 - 0.5 = 4

5√4 - √4 = 4√4

Step-by-step explanation:

A.)

√8 - √8 = 0 ; the added values aren't rational and the result, Zero is not rational either.

B.)

5√4 - √4 = 4√4

5(2) - 2 = 2(2)

10 - 2 = 4

All the values in the expression are rational ; hence, it supports the assertion.

5.5 - 0.5 = 4 ; all the values in the expression are rational, hence, it supports the fact.

2√3 - √3 = √3 ; the values in the expression are not rational, hence, it does not meet the condition.

Therefore, only options B and C supports the assertion.

Let me add that I learned most of this from Brainly a user named fichoh :)

7 0

2 years ago

Can someone please help me

4vir4ik [10]

Answer:

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

$\frac{80-20}{40-10} = \frac{60}{30} = 2$

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0

2 years ago

Which are the ordered pairs?

Aleonysh [2.5K]

I would say the answer is A and E

3 0

3 years ago

Which line from the excerpt is an example of objective language? In the course of the construction of the Bridge a number of liv

Svetlanka [38]

Answer:

Step-by-step explanation:

The answer is C

7 0

3 years ago