Write four and five eighths as an improper fraction and as a mixed number find the lcm of 27 and 45

135

Step-by-step explanation:

Four and five eighths is given as:

This is a mixed fraction. It has the whole number (4) and the fraction part (5/8)

As an improper fraction:

= 8 (4) + 5

= 37

=

An improper fraction has a large numerator than denominator.

LCM of 27 and 45

The expression for 27 in terms of prime factors  = 3 × 3 × 3

The expression for 45 in terms of prime factors  = 3 × 3 × 5

The LCM is derived by combining the highest powers of 3 and 5 which is:

LCM = (3 × 3 × 3)× 5

       = 135

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)