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umka21 [38]
1 year ago
12

Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” Sh

e translated it as shown below. 6 x = negative 2 x minus 4.5 What errors did Emma make? Select two options. She should have used division to represent the quotient of six and x. She should not have included an equal sign. She should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5). She should have subtracted the difference (x minus 4.5) from Negative 2. She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).
Mathematics
1 answer:
patriot [66]1 year ago
8 0

The errors Emma made are

  • She should have used division to represent the quotient of six and x
  • She should have used parentheses to show that - 2 is multiplied by (x - 4.5)

<h3>Writing an expression as an equation</h3>

From the question, we are to determine the errors that Emma made

The given statement is

"The quotient of six and a number, x, is the same as negative two times the difference of x and 4.5"

"The quotient of six and a number, x", can be expressed as

6/x

"Two times the difference of x and 4.5", can be expressed as

2(x - 4.5)

Hence, the errors Emma made are

  • She should have used division to represent the quotient of six and x
  • She should have used parentheses to show that - 2 is multiplied by (x - 4.5)

Learn more on Writing an expression as an equation here: brainly.com/question/13155862

#SPJ1

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What should be added to 7 4/15 to get 8 2/5​
N76 [4]

Answer:

17+(2+3)/5 = 17+1 = 18 or 10

Step-by-step explanation:

8 0
3 years ago
Factor 8X squared + 10x + 2​
mojhsa [17]

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

3 0
3 years ago
Can someone please calculate the length ?
masya89 [10]
<h3>Answer:  11/20</h3>

=====================================================

Work Shown:

x = unknown horizontal length

1/5 = 0.2

Perimeter = 2*(width + length)

P = 2*(0.2 + x)

P = 0.4 + 2x

Set this equal to the given perimeter of 1 & 1/2 = 1.5 and solve for x

0.4 + 2x = 1.5

2x = 1.5-0.4

2x = 1.1

x = (1.1)/2

x = 0.55

x = 55/100

x = (5*11)/(5*20)

x = 11/20

5 0
3 years ago
Please Help!! I will give brainliest<br><br> The question is attached below
Rina8888 [55]

Answer:

Step-by-step explanation:

P(x) = \frac{2}{3x-1}

Q(x) = \frac{6}{-3x+2}

P(x) × Q(x) = \frac{2}{3x-1}\times \frac{6}{-3x+2}

                 = \frac{2\times 6}{(3x-1)(-3x+2)}

                 = \frac{12}{(3x-1)(-3x+2)}

P(x) ÷ Q(x) = \frac{2}{(3x-1)} ÷ \frac{6}{(-3x+2)}

                 = \frac{2}{(3x-1)}\times \frac{(-3x+2)}{6}

                 = \frac{(-3x+2)}{3(3x-1)}

5 0
3 years ago
Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated
My name is Ann [436]
To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33
7 0
3 years ago
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