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3 years ago

Simplify by combing like terms: 7/2x-8.62-3/2x-2.38

2 answers:

5 0

$\bf \cfrac{7}{2}x-8.62-\cfrac{3}{2}x-2.38\implies \cfrac{7}{2}x-\cfrac{3}{2}x-8.62-2.38\implies \cfrac{7x-3x}{2}-11
\\\\\\
\cfrac{4x}{2}-11\implies 2x-11$

Crazy boy [7]3 years ago

4 0

$\frac{7}{2}x-8.62-\frac{3}{2}x-2.38\\ \\ (\frac{7}{2}x-\frac{3}{2}x)+(-8.62-2.38)\\ \\ (\frac{4}{2}x)+(-11)\\ \\ 2x-11$

This should be your final answer.

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Find the area. 5cm 3cm 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

Determining the perimeter of the triangle:

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

Determining the half of perimeter:

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

Replacing the value of "s" in the formula:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

Evaluating the area:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(6)}$

$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

6 0

1 year ago

Solve the system of equations using substitution.

Lynna [10]

Answer:

(6,12)

Step-by-step explanation:

Substitute the value of y into y=2x:

x+6=2x

x=6

Substitute x into the equation of y=2x

y = 2*6 = 12

(6,12)

6 0

2 years ago

Please help i dont get it

Vlad1618 [11]

Hello,

The mean is the average.

Therefore :

$\frac{96+84+92+96+100}{5}$
$= \frac{468}{5}$
$=93.6$

So the mean of the data set is 93.6.

Hope this helps !

Photon

8 0

3 years ago

Read 2 more answers

Function Q gives a puppy's weight in pounds as function of its age in months. What does each expression represent in this situat

babymother [125]

Answer:

Q(18) is a mathematical representation of the weight in pounds of a puppy after 18 months.

Q(30) = 27.5 ; This means that the weight of puppy after 30 months will be 27.5 pounds

Step-by-step explanation:

Given the expressions :

Q(18)

Q(30) = 27.5

Function Q gives a puppy's weight in pounds as function of its age in months

What does each expression represent in this situation?

A function is generally represented in the form a(x) ;

Hence, Q(18) is a mathematical representation of the weight in pounds of a puppy after 17 months

Q(30) = 27.5 ; This means that the weight of puppy after 30 months will be 27.5 pounds. 27.5 is the result of working out the function Q at 30.

6 0

2 years ago

1. What is an equation of the line through (3, 12) with slope = 3?

mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0

2 years ago