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3 years ago

3x+10=310 what is x equal to ?

Mathematics

2 answers:

hodyreva [135]3 years ago

6 0

Answer: x = 100

Step-by-step explanation: In this problem, notice that we not only have a variable that's being multiplied by a number, 3 times x, we're also adding 10 to that particular variable.

So to solve this, we must undo what's being done and we must do the same thing to both sides of the equation.

Remembering that you must work in the reverse order of operations, the first thing that you're going to undo is what you're adding to the variable. So to undo the +10, you will subtract 10 and again, you must do it from both sides.

On the left, the 3x remains but notice that the +10 and -10 cancels so we're just left with 3x on the left. On the right, 310 - 10 is 300.

So now we have 3x = 300.

To undo our multiplication we will divide

both sides of the equation by 3.

3 divided by 3 just gives us the x leftover and our 300 divided by 3 gives us 100 so we have x = 100 which is the solution to our equation.

vodka [1.7K]3 years ago

4 0

3x+10=310
3x+10-10=310-10
3x=300
3x/3=300/3
x=100
Therefore x is equal to one hundred

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Answer (assuming it can be in slope-intercept form):

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . I chose the points (0, -1) and (-1, 0):

$m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1$

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

$y = -x -1$

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Read 2 more answers

If their food and beverages costs$25.30 and there is an 8% meals tax, how much is the bill

Mashutka [201]

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Answer:

Step-by-step explanation:

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3 years ago

Every autumn, the North American Monarch

Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

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Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

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