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Gre4nikov [31]
3 years ago
14

Explain why 3(x+4)=3(x−5)has no solution. Choose the best response below.

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

3(x+4)=3(x-5)\\3x+12=3x-15\\3x+12-3x+15=0\\27=0

The system of equations don't have any solutions due to the exact same x-terms.

For this both system of equations, the answer is A.

The x-terms are the same for the equation to be false.

The constant, however, is indeed different as shown in the equation.

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The net of a rectangular prism is shown below. What is the total surface area of the prism in square centimeters?
goldfiish [28.3K]

Answer:

B.96

Step-by-step explanation:

7 0
2 years ago
Five years ago Kate was 5 times as old as her son. In 5 years her age will be 8 less than three times her son’s age at that time
torisob [31]

Answer: -19

Step-by-step explanation:

5xS

5-8x3= -19

3 0
3 years ago
5/6-1/8 Solve by finding a common denominator<br><br> A)30/48<br> B)34/48<br> C)38/48<br> D)42/48
GrogVix [38]

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  \dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}

__

<em>Additional comment</em>

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

8 0
2 years ago
A converging lens of focal length 5 cm is placed at a distance of 20
lesya [120]

The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

where

f is the focal length

u is the object distance

v is the image distance

Given the following parameters

f = 5cm

v = 20cm

Required

object distance u

Substitute

1/5 = 1/u +1/20

1/u = 1/5-1/20
1/u = 3/20

u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

#SPJ1

4 0
1 year ago
Michelle and her father want to make a triangular sail for their boat. The height of the sail will be 24 ft., and the base will
Lemur [1.5K]

Answer:

The area of the triangular sail is 216 ft²

Step-by-step explanation:

Since the sail is triangular, we solve the area using the area of a triangle

Area of triangle = 1/2 of base × height

base is 18 and height is 24

Area = 1/2 × 18 × 24

= 9×24

= 216 ft²

5 0
3 years ago
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