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Wittaler [7]
3 years ago
8

Which algebraic expression represents “the difference of 54 and a number”?

Mathematics
2 answers:
vampirchik [111]3 years ago
5 0

Answer:

54 - number=x

example 54 -1 =53

If it doesnt sorry :(

mash [69]3 years ago
3 0

Answer: 54-x

Explanation:

1. We define the variable which is x or n (whichever you choose)

2. We write the algebraic expression that models the following problem:

            the difference of 54 and a number.

3. We end up with our answer: 54-n OR 54-x

(Variable doesn't matter but most people use x when they don't have a named variable)

Hope this helps!!

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Solve the equation: x-10 - 2x + 7 = 8 + x - 10 - 3x
Minchanka [31]

Answer: If you're looking for the value of x, it's 1.

Step-by-step explanation:

Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x

Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x

Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x

Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x

Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2

Hope that helps!

4 0
3 years ago
Read 2 more answers
The diameter of Circle \(Q\) terminates on the circumference of the circle at \((3,0)\) and \((-4,0)\). Write the equation of th
Dahasolnce [82]

The equation of the given circle in the standard form is given as <u>(x + 0.5)² + y² = 3.5²</u>.

In the question, we are given that the diameter of Circle \(Q\) terminates on the circumference of the circle at \((3,0)\) and \((-4,0)\).

We are asked to write the equation of the circle in standard form.

The equation of the circle in standard form is given as (x - h)² + (y - k)² = r, where (h, k) is the center of the circle, and r is the radius of the circle.

The center of the circle can be found using the midpoint formula, as the center is the midpoint of the diameter.

Thus, the center is at ( (3 + (-4))/2, (0 + 0)/2 ) = ( -1/2, 0 ).

The length of the diameter can be calculated using the distance formula.

Thus, the length of the diameter of the circle is √((-4 - 3)² + (0 - 0)²) = √((-7)²) = √49 = 7.

The radius is half the length of the diameter.

Thus, the radius, r = 7/2.

Now, we have the center (h, k) = (-1/2, 0), and the radius, r = 7/2.

Thus, the equation of the circle in the standard form, (x - h)² + (y - k)² = r can be shown as:

(x - (-1/2))² + (y - 0)² = (7/2)²,

or, (x + 0.5)² + y² = 3.5².

Thus, the equation of the given circle in the standard form is given as <u>(x + 0.5)² + y² = 3.5²</u>.

Learn more about the equation of the circle at

brainly.com/question/1559324

#SPJ4

8 0
1 year ago
A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t
pogonyaev
18x the smaller orignal
3 0
3 years ago
Which choice is equivalent to the expression below ? <br> 3^7.869
inna [77]
The second one:
3^7 x 3^(86/10) x 3^(9/1000)
That is because when you multiply powers with the same base ( in this case they are all 3), you just leave the base as it is and add the exponents
so it is basically 3^(7 + 86/100 + 9/1000) which is 3^7.869
6 0
3 years ago
Read 2 more answers
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

 21^2+y^2=29^2

 y^2=29^2+21^2

 y=35.81

Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

 (21)*\frac{dx}{dt} +(35.81)*(-7) =0

 (21)*\frac{dx}{dt} -250.64 =0

 \frac{dx}{dt}=\frac{250.64}{21}

 \frac{dx}{dt}=11.94m/min

5 0
3 years ago
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