All categories

2 years ago

I need help remembering the steps to solve for 3x-7>2

Mathematics

2 answers:

goblinko [34]2 years ago

7 0

3x-7>2
add 7 to both sides: 3x>9
divide both sides by 3: x>9

Reika [66]2 years ago

3 0

Basically you just do the opposite of whatever is being done to x. So, first, you would ADD 7 to both sides to cancel it out from the side where x is. Remember: the goal is to isolate x. So, add 7, and you have:

3x - 7 + 7 > 2 + 7

Note that -7 + 7 = 0. So, we have successfully cancelled out that term. Then, just do the rest of addition:

3x > 9

Then, the the 3 is being multiplied to x, and you want to get rid of it on that side. So, you do the opposite of multiplication, which is division. You can divide the inequality by 3 on both sides to get:

3x / 3 = 9 / 3 or:
x = 3.

Note that 3x / 3 is equal to 1x or just x. Here we want that 1 to not get rid of x, because we want to find the value of x.

Remember: isolation of x is what you want. If you need more help/have questions, feel free to tell me.

You might be interested in

Value expressions-10-(-4)=

Vinvika [58]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is 23.4 x 0.4 equals

Hunter-Best [27]

9.36 is what it equals

5 0

3 years ago

Read 2 more answers

A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

Triple the difference between 32 and 19. A. 3 x (32 -19) B. 32 - 19 x 3 C. 3 x 32-19 D. (3 x 32)-19

Elza [17]

The answer is A 3x(32-19)

Reasoning: Triple the difference of 32 and 19 would be a 3x multiplication of 32-19, you need parenthesis in order to do 32-19 first because of PEMDAS. SO the answer would be 3x(32-19 because none of the other options would show the equation correctly.

If you have any more questions feel free to ask them here on Brainly.com, please make sure to give my answer a rate, like, and vote brainliest if I've helped you out, it helps me a lot too!

5 0

2 years ago

The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 2

mylen [45]

Answer:

Step-by-step explanation:

We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.

First of all we will find slope of this line.

Now we will find equation of this line in slope intercept form.

Our equation for this line will be .

Now let us write this for x as a function of p,

Therefore, our function's formula will be p(x) = 0.1x + 1.

5 0

3 years ago

Read 2 more answers