Describing Steps Used to Solve an Equation with Decimals
Examine the steps used to solve the equation.

12.5x − 10.2 = 3(2.5x + 4.2) - 6

1. 12.5x − 10.2 = 7.5x + 12.6 − 6

2. 12.5x − 10.2 = 7.5x + 6.6

3. 12.5x = 7.5x + 16.8

4. 5x = 16.8

5. x = 3.36

Analyze the steps to determine which properties or procedures were used to complete each step

Step 1:
✔ distributive property
Step 2:
✔ combining like terms
Step 3:
✔ addition property of equality
Step 4:
✔ subtraction property of equality
Step 5:
✔ division property of equality

Answer:

x=4 y=6

Step-by-step explanation:

y=−1/2x+8;3x+4y=36

Step: Solvey=

−1/2x+8for y:y=−1/2x+8

Step: Substitute

−1/2x+8foryin3x+4y=36:

3x+4y=363x+4(−1/2

x+8)=36

x+32=36(Simplify both sides of the equation)

x+32+−32=36+−32(Add -32 to both sides)

x=4

Step: Substitute4forxiny=

−1/2x+8:y=−1/2x+8

y=−1/2(4)+8

y=6(Simplify both sides of the equation)

Answer:

x=4 and y=6

[tex]3x+4y=36\\y=-\frac{1}{2} x+8\\\\[/tex]

Since we know the value of y in the second equation, let us plug it into the first equation

[tex]3x+4(-\frac{1}{2} x+8) = 36\\3x-2x+32 = 36\\x = 4[/tex]

Now let us plug our known value of x into the second equation, [tex]y=-\frac{1}{2} x+8[/tex]

[tex]y=-\frac{1}{2} x+8 =- \frac{1}{2} *4+8 = 6[/tex]

So x = 4 and y = 6

Hope that helps!

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.Step-by-step explanation:

Step-by-step explanation: (this is an example problem)

Write the form y=mx+b (The goal is to isolate the y).(m=3)(b=4)

y =  3x+4

↑     ↑

-3x  -3x

   ∨

-3x+y=4

(sorry if this isn't a good explanation)

We simplify the equation :

2(x+3) + 5x = 34

= 2x + 6 + 5x
= 7x + 6

So, 7x + 6 = 34
x = (34-6)/7 = 4

Equation A : 6x - 22 = 2
x = (22+2)/6 = 4 (so it's equvalent).


Equation B : x/5 = 4
x = 4 x 5 = 20 (not equivalent)

Equation C :
3x - 6 = 12
x = (12+6)/3 = 6 (not equivalent)

Equation D : 6x = 18
x = 18/6 = 3 (not equivalent)

So, it's equation A

Answer:

your answers would be

a= (2,4)

b= (4,4)

c= (2,6)

d= (6,2)

e= (4,2)

Answer:

50, 48, 14

Step-by-step explanation:

Go through them one by one. The side lengths of a triangle should all plug in to the formula a^2 + b^2 = c^2. The longest side is always c because it is the hypotenuse. The other two sides are interchangeable.

8^2+ 14^2 should equal 17^2.

That simplifies to

64+196=289

That can't be true because the units digits add to 10 instead of 9.

The same method applies to 3, 5, and 6 but from experience I know that this already isn't an option.

For 50, 48, and 14, you can divide everything by 2, resulting in 25, 24, and 7.

576+49 should equal 625.

That is true.

For 53, 48, and 24

576+2304 should equal 2809.

That isn't true, it equals 2880.

Answer:

So you round 756 to 1 sig figure and it will become 800, the same with 8674 will become 9000

So 800 * 9000 = 7,200,000

Answer:

x = 9

Step-by-step explanation:

Vertical angles has same measurement so the two angles are equal:

if one of the angle is 36 and the other is represented by 4x then the value of x:

4x = 36 divide both sides by 4

x = 9

Answer:

(-infinity, inifinty)

Step-by-step explanation:

the domain should be all real numbers of this quadratic

Answer:

Step-by-step explanation:

[tex]13) \dfrac{5}{x}=\dfrac{20}{16}[/tex]

In the numerator, 20 ÷ 4 = 5

So, x = 16 ÷ 4 = 4

5 : 4 = 20:16

14)

[tex]\dfrac{2}{9}=\dfrac{12}{x}[/tex]

In the numerator, 2*6 = 12

So, x = 9*6 = 54

2:9 = 12 : 54

15)   [tex]\dfrac{x}{1}=\dfrac{30}{3}[/tex]

In the denominator 3 ÷ 3 = 1

So,  30 ÷ 3 = 10

10 : 1 =  30 : 3

[tex]16)\dfrac{x}{5}=\dfrac{21}{35}[/tex]

In the denominator, 35 ÷ 7 = 5

x = 21 ÷ 7 = 3

3 : 5 = 21 : 35

[tex]17) \dfrac{21}{x}=\dfrac{7}{2}[/tex]

In the numerator, 7 *3 = 21

So, x = 2*3 = 6

21: 6 = 7 : 2

Answer:

8×h=P

Step-by-step explanation:

To get the total pay you would multiply the 8 by the total amount of hours which give you your total amount you made.

Hope this helps!

Answer:

36/80 chance of landing on tails, or a 45% chance .

The points H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4) can either be a relation or a function

The points are given as:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

See attachment for the graph of the points

This is the set of the x coordinates of the points

Hence, the domain is: [-3,-1,0,3]

This is the set of the y coordinates of the points

Hence, the range is: [-4,4,7,8]

Recall that the points are:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

Rewrite the points using mapping

[tex]\left[\begin{array}{c}3&0&-1&-3\end{array}\right] \to \left[\begin{array}{c}7&4&8&-4\end{array}\right][/tex]

None of the x values point to multiple y values.

Hence, the ordered pair is a function

The function is given as:

[tex]f(x) = x^2[/tex]

When x = -1, we have:

[tex]y = (-1)^2 =1[/tex]

For other values, we have:

[tex]y = (0)^2 =0[/tex]

[tex]y = 1^2 =1[/tex]

[tex]y = 2^2 =4[/tex]

Hence, the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x) = x^2&f(x)\\-1&y= (-1)^2&1\\0&y= 0^2&0&1&y= 1^2&1&2&y= 2^2&4\end{array}\right][/tex]

Hence, the range of the function is [tex]y \ge 0[/tex]

Read more about graphs and functions at:

https://brainly.com/question/13473114

Answer: I'll explain.

Step-by-step explanation:

A factor is a number that divides that into another number without leaving a remainder                                                                                                                    A solution is a assignment of values to the unknown variables that amke the equality in the equation true

Answer:

Infinite many

Step-by-step explanation:

There are infinite many rational numbers between 2 and 3.

I hope it helps! Have a great day!

Muffin ^^

Answer:

[tex]\left \{ {{x+y=312} \atop {12x+3y=264}} \right.[/tex]

Step-by-step explanation:

The suvs have to add together

Answer:

∠ x = 20°

Step-by-step explanation:

Complementary angle sum to 90° , so

2x + x + 30 = 90°

3x + 30 = 90° ( subtract 30 from both sides )

3x = 60° ( divide both sides by 3 )

x = 20°

Answer:

X = 70

Step-by-step explanation:

[tex]x + 30 + 2x = 90 \\ 3x - 30= 90 \\ x - \frac{30}{3} = \frac{90}{3} \\ x - 10 = 30 \\ Add 10 to \: both \: sides: \\ x-10+10=30+10 \\ Simplify \: the \: arithmetic: \\ x=30+10 \\ Simplify \: the \: arithmetic: \\ x=40[/tex]

Answer: 1.joey 2. jacob 3.jhon 4. jack

Step-by-step explanation:

Answer:

Joey, Jacob, Johnathan, Jack

Step-by-step explanation:

Joey has three brothers = 4 total

Jacob is older Jonathan but younger than Joey. Jack is younger than Jonathan.

Answer:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.

Step-by-step explanation:

Steps to find the circumcenter of a triangle with vertices are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

Calculate the slope of the particular line

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcenter of the given triangle

The inequality models the story is given by a < 12

An inequality is an expression that can be used to show the non equal comparison of two or more numbers and variables.

Let a represent the number of lemon-lime sports drinks Suzie might get. Hence:

a < 12

The inequality models the story is given by a < 12

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

4/9

Step-by-step explanation:

Finally, I can put my answer!

Answer:

0.33km

Step-by-step explanation:

Answer:

35km/h

Step-by-step explanation:

105 km in 3 hours

105km/3h

Divide top and bottom by 3

35 km/1 h

Answer:

the first prism looks like a cuboid .

therefore , volume of prism 1 = l × b × h

[tex]\bold{7 \times 2 \times 1} \\\bold{ = > 14 \: units {}^{3}} [/tex]

and ,

the second prism looks like a cuboid too

thus , volume of prism 2 = l × b × h

[tex]\bold{3 \times 3 \times 2} \\\bold{ = > 18 \: units {}^{3}} [/tex]

thus , prism 2 has a greater volume.

hope helpful ~

Answer:

is B

Step-by-step explanation:

thank me later, honey :)

Answer:

p=4

Step-by-step explanation:

because 5 is less than or equal to four!

another number grater than five no less than

so the answer is p=4