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Advocard [28]
3 years ago
7

Simplify. 78+(−23)5678+(−23)56 Enter your answer in the box in simplest fractional form.

Mathematics
2 answers:
Kisachek [45]3 years ago
4 0
311,002  in simplest form


ollegr [7]3 years ago
4 0

Answer : The simplest fractional form of the given expression is, \frac{23}{72}

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

As we are given the expression:

\frac{7}{8}+(\frac{-2}{3})\times \frac{5}{6}

Now we have to simplify this expression.

=\frac{7}{8}+(\frac{-10}{18})

=\frac{7}{8}-\frac{10}{18}

=\frac{126-80}{144}

=\frac{16}{144}

=\frac{23}{72}

Thus, the simplest fractional form of the given expression is, \frac{23}{72}

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51 is 33 1/3 of what number?
nevsk [136]

Answer:

\boxed{\frac{153}{100}\:\:Or\:\:1.53}

Step-by-step explanation:

Let the number be n.


Then,

33\frac{1}{3} \tmes n=51

This implies that;

\frac{100}{3} n=51


We multiply both sides by \frac{3}{100} to obtain;


\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51


\Rightarrow n=\frac{3}{100} \times 51


\Rightarrow n=\frac{153}{100}

Or

\Rightarrow n=1.53


5 0
4 years ago
Read 2 more answers
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
What slope would make the lines<br> parallel?
erik [133]

Answer:

answer = 3

Step-by-step explanation:

same slope and different y-intercept would make the two lines parallel. hope this helps <3

5 0
3 years ago
Read 2 more answers
From the moment the first car started how many hours will it take the second car to catch up to the first
Rina8888 [55]

Answer:

HELP

Step-by-step explanation:

3 0
3 years ago
Are<br> Which pair of angles<br> angles?<br> corresponding
-BARSIC- [3]

Answer:

D. <3 and <7

Step-by-step explanation:

Corresponding angles are angles that are on matching sides and that are cut by a transversal.

Hope this helps!

4 0
3 years ago
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