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3 years ago

An equation is shown below:

1 answer:

meriva3 years ago

7 0

<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span> $\frac{24}{8}$

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}

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A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the lengt

MrRissso [65]

Answer:

10 km

Step-by-step explanation:

volume of cube = s^3

1 m = 100 cm

volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3

Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.

1,000,000 cm = 10,000 m = 10 km

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2 years ago

To convert a percent to a fraction, which of the following is not done?

slavikrds [6]

What you do, to convert a percention to a fraction is to divide the percent by 100. This will give you the fraction of that percent. Knowing this, you can eliminate all the other possible answers that have been listed.

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2 years ago

Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

8 0

3 years ago

Enter the value of p so the expression 5/6-1/3nis equivalent to p(5-2n).

SIZIF [17.4K]

Take LCD of 6 and 3 = 6 is the lcm
5/6 -2/6n
(5-2n)/6.

Now, what number can be multiplied to the right side of the equal sign to get the value of P

The answer is 1/6 as the left side is divided by 6, so multiply the right side by 1/6 to make it equivalent.

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3 years ago

How do you find the equation to 1/3 of 27?

NeX [460]

To find 1/3 of 27 divide 27 by the denominator (which in this case would be 3) then multiply by the numerator (which is one) so you'd do 27 divided by 3 then multiply by 1

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2 years ago