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2 years ago

The perimeter of an equilateral triangle is 63 in.

Mathematics

2 answers:

hoa [83]2 years ago

6 0

Answer:

Step-by-step explanation:just do 4x+3

Mashcka [7]2 years ago

4 0

Because it is an equilateral triangle, all three sides are the same length. Because of this, you need to divide 63/3 to find out the length of one side. 63/3=21. So this tells us that 4x+3=21. Now that we have the equation, we need to solve for x. To do this, subtract the 3 on both sides to get 4x alone. 21-3=18. So now we know that 4x=18. Now divide 4 on each side to get x alone. X= 18/4, which simplifies to 9/2. In decimal form, x=4.5.

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A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft d

GuDViN [60]

The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.

Step-by-step explanation:

Given,

A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.

The price of a hot dog is $1.25 more than the price of a bag of potato chips.

The cost of a soft drink is $2.75 less than the price of two hot dogs.

To find the cost of each item.

Let,

The price of chips = x

The price of a hot dog = x+1.25

Price of two hot dog = 2(x+1.25) = 2x+2.5

The price of a soft drink = 2x+2.5-2.75 = 2x-0.25

Now,

According to the problem,

4(x+1.25)+3x+4(2x-0.25) = 15.25

or, 15x+5-1 = 15.25

or, 15x = 11.25

or, x = 0.75

Hence,

The price of chips = $ 0.75

The price of a hot dog = $ 0.75+1.25 = $ 2

The price of a soft drink = $ 2×0.75-0.25 = $ 1.25

5 0

3 years ago

What is the answer to 8x^3+125 by factoring the perfect cube?

expeople1 [14]

Answer:

$\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}$

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

3 0

3 years ago

Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9

SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0

2 years ago

A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a

Setler [38]

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

A=3.14×34

=106.76km²

Population density = Population/Area

=32 antelopes/106.76 km²

=0.3 per km²

The population of antelopes within the given radius is 0.3 per km²

7 0

2 years ago

Solving Equations and Systems of Equations

otez555 [7]

Answer:

Because they are equal

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers