To evaluate the expression shown:
we begin by evaluating the numerator:
0.6+2.4(3-0.7×5/7)-7÷3 1/2
re-writing in proper fractions we get:
0.6+2.4(3-0.7×5/7)-7÷7/2
working out the parenthesis we get:
0.6+2.4(3-0.5)-7÷7/2
simplifying the above we get:
0.6+2.4(2.5)-7×2/7
=0.6+6-2
=4.6

working out the denominator we obtain:
5 1/4×4-(5.9-2.7÷9/11)×2 1/2
rewriting in proper fraction we get:
21/4×4-(5.9-2.7÷9/11)×5/2
working out the parenthesis:
21/4×4-(5.9-2.7×11/9)×5/2
=21-(5.9-3.3)×5/2
simplifying gives us:
21-(2.6×5/2)
=21-6.5
=14.5
thus putting back the expression we get:
4.6/14.5
=46/145

8 0

3 years ago

At a golf course there are 18 holes. Of the 18 holes 3 are par threes 8 are par fours and 7 are par fives what fraction of the h

elena55 [62]

The fraction of holes that are par three is $\frac{1}{6}$

The fraction of holes that are par four is $\frac{4}{9}$

The fraction of holes that are par five is $\frac{7}{18}$

<em><u>Solution:</u></em>

Given that At a golf course there are 18 holes

Therefore,

Total number of holes = 18

Of the 18 holes 3 are par threes 8 are par fours and 7 are par fives

So there are par 3, par 4 and par 5

Number of par 3 holes = 3

Number of par 4 holes = 8

Number of par 5 holes = 7

To find: fraction of the holes that are par threes Par fives and par fours

<h3><u>Find the fraction of par 3 holes:</u></h3>

$\text{ fraction of par 3 holes} = \frac{\text{ number of par 3 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 3 holes} = \frac{3}{18} = \frac{1}{6}$

<h3><u>Find the fraction of par 4 holes:</u></h3>

$\text{ fraction of par 4 holes} = \frac{\text{ number of par 4 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 4 holes} = \frac{8}{18} = \frac{4}{9}$

<h3><u>Find the fraction of par 5 holes:</u></h3>

$\text{ fraction of par 5 holes} = \frac{\text{ number of par 5 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 5 holes} = \frac{7}{18}$

Thus the required fractions are found

3 0

2 years ago

Write the phrase as a unit rate. $37.13 for<br> 5.5 pounds

goldfiish [28.3K]

The unit rate of the given quantities are 6.75 dollars/pounds .

There is independent quantity, and a quantity which depends on it (dependent quantity).

When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We need to Write the phrase as a unit rate. $37.13 for 5.5 pounds

Weight in 5.5 pounds = 37.13 dollars

Weight in 1 pounds = 37.13/5.5* 1

Weight in 1 pounds = 6.75 dollars

Therefore, the unit rate of the given quantities are 6.75 dollars/pounds .

Learn more about unit rate here;

brainly.com/question/1784484

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6 0

1 year ago