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rewona [7]
3 years ago
14

the difference of twice a number and five is three. find the number. translate the word problem to an equation. which steps desc

ribe how to solve the equation? add 2 then multiply by multiply by then add 5 add 5 then multiply by subtract 5 then multiply by -
Mathematics
2 answers:
marusya05 [52]3 years ago
8 0

Answer:

The number is 4.

The step describe to solve the problem is: add five and then multiply by \frac{1}{2}

Step-by-step explanation:

Let the number be x.

As per the given condition as:

The difference of twice a number and five is three.

"Twice a number" means 2x

"difference of twice a number and five" means 2x -5

therefore, the translation of the given word problem to an equation is:

2x-5 =3

Now, solve the equation : 2x-5 =3

Addition Property of equality states that you add the same number to both sides of an equation.

Add 5 to both sides of an equation we get;

2x-5+5=3+5

Simplify:

2x = 8

Multiplication property of equality states that you multiply the same number to both sides of an equation.

Multiply by \frac{1}{2} both sides we get;

2x \times \frac{1}{2} = 8 \times \frac{1}{2}

Simplify:

x = 4

The steps which describe to solve the problem is: add five and then multiply by \frac{1}{2}

Therefore, the number x = 4


Dafna1 [17]3 years ago
8 0
LEt the number be x.
2x - 5 = 3
2x = 3 + 5 = 8
x = 8/2 = 4

To solve the equation: add 5 to both sides and then multiply by 1/2.
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Sum of three like fractions is 18/11. the first 2 fractions are 1/11 and 9/11. find the third fraction.
Mariulka [41]

Answer:

\frac{8}{11}

Step-by-step explanation:

Since the fractions are like, their denominators are 11, then

consider the values that sum to give 18 , that is

1 + 9 + ? = 18

10 + ? = 18 ( subtract 10 from both sides )

? = 8

Then the third fraction is \frac{8}{11}

5 0
2 years ago
Which of the values shown are potential roots of f(x)=3x^3-13x^2-3x+45? Select all that apply
GrogVix [38]
<h3>f(x)=3x³-13x²-3x+45</h3><h3>f(x)=3x³-9x²-4x²+12x-15x+45</h3><h3>f(x)=3x²(x-3)-4x(x-3)-15(x-3)</h3><h3>f(x)=(x-3)(3x²-4x-15)</h3><h3>f(x)=(x-3)(x-3)(3x+5)</h3><h2>f(x)=(x-3)²(3x+5)</h2>

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5 0
2 years ago
Consider the function f(x)= x² - 4
Arisa [49]

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

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A^2 - B^2 is a special case where the original equation before it was foiled is

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3 years ago
How do I graph x - 4y &lt; 0
Temka [501]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y < 0

isolate the variable y

-4y < -x

Divide by -4 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

y > \frac{x}{4}

The solution of the inequality is the shaded area above the dashed line y=\frac{x}{4}

The slope of the dashed line is positive m=1/4

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

using a graphing tool

The graph in the attached figure

3 0
3 years ago
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