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2 years ago

Explain why it might be important to be able to work with and manipulate fractions when working in construction.

Mathematics

1 answer:

nirvana33 [79]2 years ago

4 0

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

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A bowl of fruit contains 10 oranges, 12 apples, 6 plums, and 2 peaches. If you want to compare the number of apples to oranges w

Sergeu [11.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

To compare the number of apples to oranges

Number of apples = 12

Number of oranges = 10

Number of apples in terms of oranges :

12 /10 = 1.2

Number of apples = 1.2(number of oranges)

If number of apples = x

Number of oranges = y

x = 1.2y

There are 1.2 times the number of apples than number of oranges.

7 0

2 years ago

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

{RO5-1} Simplify:<br> 2. 73

Volgvan

Answer:

2 11/15

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.73¯¯¯(1)

With 1 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 101 = 10

Equation 2:

10X=27.33¯¯¯(2)

Subtract equation (1) from equation (2)

10XX9X===27.33...2.73...24.6

We get

9X=24.6

Solve for X

X=24.69

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

24.69×1010=24690

Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

246÷690÷6=4115

Simplify the improper fraction,

=21115

In conclusion,

2.73¯¯¯=2 11/15

5 0

2 years ago

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago

Find the area of the isoceles triagle (hight not given)

Igoryamba

Answer:

157

Step-by-step explanation:

TSA OF TRIANGLE IS 180

13+10 IS 23

180-23 IS 157

8 0

2 years ago