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2 years ago

Show that the following rational number by expressing it as a ratio quotient of two integers 0.9

1 answer:

7 0

A rational number can be expressed in the form a/b, where a and b are other integers. To satisfy this definition, 0.9 can be written as 9/10, 18/20, 90/100, etc.

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The price of a dozen eggs was $1.63. The price rose m dollars. Then the price dropped $0.12 per dozen. Express the current price

stellarik [79]

1.63+m-.12

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8 0

2 years ago

Read 2 more answers

The areas of the squares adjacent to two sides of a right triangle are 29.2529.2529, point, 25 units^2 2 squared and 131313 unit

bonufazy [111]

Answer:

6.5 units

Step-by-step explanation:

We are given that

Two adjacent sides of right triangle

Suppose a,b and c are sides of right triangle.

$a^2=29.25$ squared units

$b^2=13$ square units.

Length of third side,c=x units

We have to find the length of third side of the triangle.

$x^2=a^2+b^2$

By using Pythagoras theorem

$(Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2$

$x^2=29.25+13$

$x=\sqrt{29.25+13}$

$x=6.5units$

Hence, the length x of the third side of the triangle=6.5 units

3 0

2 years ago

Read 2 more answers

Dapper Dan's Dancing School charges $85 for enrollment plus $6 per class, whereas Leaping Larry's Dancing School charges $40 for

gogolik [260]

Answer:

The Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes

Step-by-step explanation:

The given information are;

The amount Dapper Dan's Dancing School charges for enrollment = $85

The amount Dapper Dan's Dancing School charges per class = $6

The amount Leaping Larry's Dancing School charges for enrollment = $40

The amount Leaping Larry's Dancing School charges per class = $12

Therefore, we have for X number of classes, when the cost of Dapper Dan's Dancing School and Leaping Larry's Dancing School are equal

$85 + X × $6 = $40 + X × $12

$85 - $40 = X × $12 - X × $6

$45 = X × $6

X = $45/$6 = 7.5

From which we have at X = 7.5 classes, the cost of the two dancing schools will be equal

However below 7.5 classes, for 7 classes for example, we have;

Cost of Dapper Dan's Dancing School = $85 + 7 × $6 = $127

Cost of Leaping Larry's Dancing School = $40 + 7 × $12 = $124

Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is more expensive than Leaping Larry's Dancing School

Above 7.5 classes, for 8 classes for example, we have;

Cost of Dapper Dan's Dancing School = $85 + 8 × $6 = $133

Cost of Leaping Larry's Dancing School = $40 + 8 × $12 = $136

Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is less expensive than Leaping Larry's Dancing School

Therefore, Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes.

5 0

2 years ago

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the ba

timama [110]

<span>Using the Pythagorean theorum we can solve this v a^2+b^2= c^2. A is the distance from base of house to ladder A= 1.5, c ifls length of ladder, c= 10. (1.5)^2 + ;b^2 = (10)^2. Solve for b. B= 9.88. 12 foot height of house - 9.88 feet to top of angled ladder = 2.11 from top of ladder to edge of roof</span>

6 0

2 years ago

The New Mexico Division of Fish and Wildlife keeps track of the silvery minnow population in the Rio Grande River. They tagged 5

sattari [20]

Answer:

279 silvery minnow

Step-by-step explanation:

Number of Silvery Minnows initially tagged = 54

Number of minnows captured = 62

Number of tagged minnows in captured ones = 12

Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.

So, in x minnows, 54 are tagged ones.

When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.

Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.

i.e.

$54 : x = 12 : 62\\\\ \frac{54}{x} = \frac{12}{62}\\\\ 62(54)=12x\\ \\ x = 279$

This means, there were 279 silvery minnows in the Rio Grande River.

3 0

2 years ago