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Nutka1998 [239]
3 years ago
13

3x +6= 27 x = how do you solve this.

Mathematics
2 answers:
Serjik [45]3 years ago
8 0
3x + 6 = 27

step 1. subtract 6 from both sides

3x = 21

step 2. divide both sides by three to get x alone

x = 7

hope this helps
SOVA2 [1]3 years ago
8 0

x=7

First you must subtract 6 on both sides

3x=21

Then you must divide each side by 3

x=7

You might be interested in
What is (-m)⁻³n if m = 2 and n = -24?
Galina-37 [17]

Answer:

-3

Step-by-step explanation:

(-2)^-3 x (-24)

(-2)^3 becomes 1/(-2)^3 in order to make the negative exponent a positive one.

then, you do 1/-8 (the -8 is the (-2)^3 simplified) x -24

1/-8 x (24) = 24/-8 = -3.

Hope this helps! :)

4 0
2 years ago
A line passes through (4, 5) and (8, 9). Which equation best represents the line?
xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



7 0
3 years ago
Consider the line shown on the graph. Enter the
Semenov [28]

<h2>Solution -</h2>

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

<h3>So, on substituting the values, we get </h3>

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

<h3>So, Equation of line is given by</h3>

y = mx + c

y = 1 × x + 3

<h3>y = x + 3</h3>

<h3>Alternative Method :-</h3>

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

<h3>Here,</h3>

a = 0

b = 3

c = 1

d = 4

<h3>So, on substituting these values in above result, we get :-</h3>

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

y - 3 = 1/1 ( x - 0 )

y - 3 = x

<h3>y = x + 3</h3>

<h3>Different forms of equations of a straight line :-</h3>

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

<h3>2. Point-slope form equation of line</h3>

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

<h3>3. Slope-intercept form equation of line</h3>

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

<h3>4. Intercept Form of Line</h3>

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

<h3>5. Normal form of Line</h3>

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

<h2 />

8 0
2 years ago
Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest
Alex

Answer:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.

Step-by-step explanation:

Given fractions \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of  \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction \frac{1}{3} by 10 in top and bottom, we get

\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}

Multiplying first fraction \frac{4}{6} by 5 in top and bottom, we get

\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}

Multiplying first fraction  \frac{1}{5} by 6 in top and bottom, we get

\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.

Now, we can check \frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.

\frac{6}{30} is the smallest, \frac{10}{30} is greater and \frac{20}{30} is the greatest.

Therefore, we can arrange fractions\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.

Writing original fractions in place of equivalent fractions, we can write

\frac{1}{5} ,  \frac{1}{3} and  \frac{4}{6}.

Therefore, the order the amounts of paint from least to greatest is:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.




4 0
3 years ago
What is the solution of 1/3b = -3
Tcecarenko [31]
Simplify 1/3b to b/3

b/3 = -3


multiply both sides by 3

b = -3 * 3

multiply 3 * 3 so it can = 9

Answer: b = -9
5 0
3 years ago
Read 2 more answers
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