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Agata [3.3K]
3 years ago
9

3(x + 2) = 2x + 14 How many solutions

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

I solution; x=8

Step-by-step explanation:

You have to solve for x by simplifying both sides of the equation and then isolating the variable

3(x+2)= 2x+14

Distributive Property

3x+6=2x+14

Isolate the variable

3x+6-6=2x+14-6        which is 3x=2x+8

3x-2x=2x-2x+8

x=8

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Salvador is playing a game where the product must be greater than 2. Which two cards result in a product greater than 2? 1/2, 1
Ivenika [448]

Answer:

1 7/8 and 5/4

Step-by-step explanation:

when you multiply them together you get

2 11/32

6 0
3 years ago
The system with one and only one solution set is called a/an system
beks73 [17]

Answer:

Consistent and Independent System

Step-by-step explanation:

A system with at least one solution is a consistent system.  A consistent system is said to be independent if it has <u>exactly one solution</u> (often referred to as the <em>unique</em> solution).  The graphs intersect at exactly one point, which gives an ordered-pair (x, y) as the solution of the system.  

6 0
2 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

7 0
3 years ago
Read 2 more answers
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

7 0
3 years ago
Describe how to estimate a non-perfect square root to the hundredths place without a calculator
slavikrds [6]

Answer:

First, estimate between two whole numbers by finding the perfect squares nearest to the target number. Next, identify which value the non-perfect square root is closer to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Hope this helps!

Sincerely; Victoria<3

Step-by-step explanation:

8 0
3 years ago
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