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3 years ago

Eighteen less than three times a number is twice the number. Write and solve

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

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At the state fair, admission at the gate is $9. In addition, the cost of each ride is $3. Suppose that Deshaun will go on x ride

pshichka [43]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Step-by-step explanation:

Given :

At the state fair, admission at the gate is $9.

In addition, the cost of each ride is $3.

Suppose that Sam will go on x rides.

Then, cost of x rides ( in dollars) = Cost per ride x Number of rides

=3x

Total cost ( in dollars) : Admission fee + cost of x rides

= 9+3x

Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )

$9\text{ + 3x }\leq\text{ t}$

CONCLUSION:

The final answer is:

Using the values and variables given, write an inequality describing this.

$9\text{ + 3x }\leq\text{ t}$

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1 year ago

I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

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Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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