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4 years ago

5

An equilateral triangle and a square have the same perimeter. Each side of the square measures 6 cm. What is the length of each

side of the triangle?

1 answer:

MariettaO [177]4 years ago

5 0

Each side of the triangle is 12 cm long because 12 + 12 + 12 = 36

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each cow has 4 legs and each chicken has 2 legs. If a boy counts 42 heads and 144 feet, how many cows are there?

netineya [11]

Solution:

we are given that

Each cow has 4 legs and each chicken has 2 legs.

A boy counts 42 heads and 144 feet.

we have been asked to find how many cows are there?

Let there are x cows and y chicken.

Then we can write

$x+y=42....(i)\\ \\ \text{Sum of Heads}\\ \\ 4x+2y=144\\ \\\\\text{Sum of feet }\\ \\ \Rightarrow 2x+y=72....(ii)\\ \\ \text{Now solve these two equation together we get}\\ \\\\2x+(42-x)=72\\ \\ 2x+42-x=72\\ \\ x=72-42=30\\$

Hence Number of cows=30

8 0

4 years ago

Write an equation that expresses the relationship. Use k as the constant of variation.

Kruka [31]

Step-by-step explanation:

x = k/m

hope this helps. good luck!

6 0

2 years ago

Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10 per mile, and she gave the driver a tip of \$5$5. Ann paid

Ivahew [28]

Answer:

$2.10x+5=49.10$

Step-by-step explanation:

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.

Let x be the distance in miles between airport and Ann's home. The fare per mile taxi ride is $2.10, therefore, the fare for x miles of taxi ride will be 2.10x.

We can see that $5 will be constant value for our equation as it will remain same. $2.10x+5$ will be total amount paid by Ann for x miles of taxi ride including tip.

We can write an equation to determine the distance between airport and Ann's home by equating fare of x miles plus tip given by Ann's to driver with total amount paid by Ann.

$2.10x+5=49.10$

Therefore, an equation representing the distance in miles between airport and Ann's home will be $2.10x+5=49.10$ .

8 0

4 years ago

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

6 0

3 years ago

The difference of 8 and six times a number is a minimum of sixty-eight

Elza [17]

Answer:

Let's represent the unknown number with the variable, x.

The word "difference" indicates subtraction and "times" indicates multiplication.

The "difference of 8 and six times a number" would be represented as: 8 - 6x

NOTE: The order of the terms is important (8- 6x is not the same as 6x - 8).

This expression 8 - 6x must be at least 68 to meet the requirement of being at least a "minimum".

The final inequality will be: 8 - 6x ≥ 68

Step-by-step explanation:

hope this helps :)

8 0

3 years ago

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