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Citrus2011 [14]
2 years ago
14

Margaret is solving the linear equation 3(x+4)=42 . As she was solving, she took the equation 3(x+4)=42 , performed an algebraic

operation and ended up with 3x+12=42 . Which algebraic property justifies this operation?
A) Multiplication Property of Equality
B) Division Property of Equality
C) Associative Property
D) Distributive Property
Mathematics
2 answers:
kramer2 years ago
7 0

Answer:

D

Step-by-step explanation:

The parenthesis was distributed in order to get 3x + 12

Varvara68 [4.7K]2 years ago
3 0

Answer:

D) Distributive Property

Step-by-step explanation:

3×x=3x

3×4=12

3x+12=42

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What is the value of<br> 3 to the third power+ 7(2x-6), when x = 4?
rodikova [14]

Answer:

2744

Step-by-step explanation:

I think this is correct, not entirely sure of the question:

(7x(2x4-6))^3=?

(7x(8-6))^3=?

(7x2)^3=?

14^3=2744

I hope this is what it was asking

8 0
4 years ago
What is the greatest number of cubes with a side of 1.5cm that can fit in the box with dimensions 16cm ×5cm ×12cm? Please help m
Vitek1552 [10]

Answer: 284 cubes.

Step-by-step explanation:

By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.

Knowing that the dimensions of this box are 16cm*5cm*12cm, we get that the volume of the box is:

V_{box}=16cm *5cm *12cm=960cm^3

The formula for calculate the volume of a cube is:

V=s^3

Where "s" is the lenght of a side.

Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:

V_{cube}=(0.5cm)^3=3.375cm^3

Dividing V_{box} by V_{cube} we get the greatest number of cubes  that can fit in the box:

number\ of\ cubes=\frac{960cm^3}{3.375cm^3}=284

6 0
4 years ago
What’s the volume of the cone
Likurg_2 [28]

Answer:

The volume of cone can be:

V = 216\pi

    or

V \approx 678.584

Step-by-step explanation:

-Use the formula to find the volume of a cone:

V = \frac{1}{3} \pi r^2h

-Use both the radius and the height for the formula:

V = \frac{1}{3} \pi 6^218

-Then, you solve:

V = \frac{1}{3} \pi 6^218

V = \frac{1}{3} \times \pi \times 6^2 \times 18

V = \frac{1}{3} \times \pi \times 36 \times 18

V = \frac{1}{3} \times \pi \times 648

V = \frac{1}{3}\pi \times 648

V = \frac{648}{3} \pi

V = 216\pi \approx 678.584

So, the answer can be 216\pi or 678.584 .

3 0
4 years ago
When solving a system of equations graphically, when would you need to estimate the solution? Explain
SashulF [63]

Answer:

To solve an equation means to find all the values that should satisfy the given statement. To solve an equation graphically, draw the graph for x and y of the given equation and notice where the curves cuts should be  equal.

Step-by-step explanation:

To solve an equation means to find all the values that should satisfy the given statement. To solve an equation graphically, draw the graph for x and y of the given equation and notice where the curves cuts should be  equal.

Solving system of linear equations by using graph:

A system of linear equations contains atleast two equations.For example y=5x+2 and y=x.The solution of both equations can be denoted as a ordered pair.To solve the system of linear equations we have to plot the points in the graph for both equations in coordinate system must be same.The intersection of two straight lines is the solution(point) for the given system.

8 0
3 years ago
Read 2 more answers
Initially, Ernie does not like a book that he is reading, so he reads very few pages. Then, the story becomes interesting, and h
serious [3.7K]

The graph that best corresponds to the situation is graph 4; option C

<h3>Time graph</h3>

  • Assume, the first hour, Ernie read just 2 pages
  • Second hour, 5 pages
  • Third hour, 7 pages
  • Fourth hour, 10 pages

Number of pages read is on the y - axis

Time taken is on the x - axis

Therefore, graph 4 represent the situation

Learn more about time graph:

brainly.com/question/26209293

#SPJ1

6 0
2 years ago
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