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Monica [59]
3 years ago
10

Which equation represents the statement "One-fourth more than a number is equal to two-thirds?"

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

x + \frac{1}{4} = \frac{2}{3}

Step-by-step explanation:

The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:

Let the number be x.

Therefore, One-fourth more than a number = x + \frac{1}{4}

Now,

\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}

This is the required answer.

lisov135 [29]3 years ago
4 0

Answer: 1/4 + x = 2/3

Step-by-step explanation:

One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3

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Use desmos.com and graph those inequalities. It is pretty easy.
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3 years ago
Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4
slega [8]

Answer:

The equation to this question is "x^2+y^2=16"

Step-by-step explanation:

Given value:

\to  r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\

\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1

 So, the curve r(t) = 4 \cos (t)i + 4 sin(t)j + k is basically a circle, which is defined in the attachment file.

7 0
3 years ago
How to solve for equation:<br> y = x squared - 15x + 14
vichka [17]

Answer:

x=14, x=1

Step-by-step explanation:

View Image.

First factor the equation. Which numbers multiplies to 14 and adds up to -15? It's -14 and -1 so the equation is factored to (x-14)(x-1). I assume that you know how to do this.

Then set the values inside the parentheses equal to 0 and solve for x.

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Worth 12 points and actually help me with the question plz
KATRIN_1 [288]

Answer:

(x + 1, y - 3)

Step-by-step explanation:

The translation is 1 unit right and 3 units down.

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18 gallons

Step-by-step explanation:

the tank capacity is :

$71.98 ÷ $3.98 = 18 gallons

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3 years ago
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