What is 80% of 80 ?!?!

What statements are true about the ordered pair (7,19) and the system of equations?

Xelga [282]

The ordered pair (7, 19) is only a solution to the first equation, 14-19= -5. the ordered pair is not a solution to the second equation 7 + 57 does not equal 22.

5 0

3 years ago

- Let y represent the width of a rectangle and let x represent the rectangle's lengu.

valentina_108 [34]

Answer:

Length: 21 cm and Width: 6cm

Step-by-step explanation:

Let $y$ be the width and $x$ length of the rectangle. We know:

$x = 4y -3$ -------- eq. 1

$54 = 2x + 2y$ (Perimeter of the rectangle) ------- eq. 2

Substitute equation 1 in equation 2:

$54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6$

Using the value of y, we find x.

$x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21$

4 0

3 years ago

Determining Cost of Land

irakobra [83]

The complete question is:

On-Time Delivery Company acquired an adjacent lot to construct a new warehouse, paying $90,000 in cash and giving a short-term note for $50,000. Legal fees paid were $1,750, delinquent taxes assumed were $25,000, and fees paid to remove an old building from the land were $9,000. Materials salvaged from the demolition of the building were sold for $1,000. A contractor was paid $415,000 to construct a new warehouse. Determine the cost of the land to be reported on the balance sheet.

The cost of land to be reported exists at $174,750.

<h3>How to determine the cost of the land to be reported on the balance sheet?</h3>

The cost of land noted in the balance sheet does not only contain the price spent to gain the land but also includes any costs/revenue obtained in the procedures, and activities required to obtain the land to the setting in which it may be prepared for use.

Therefore, except for the price paid which exists at $140,000 ( $90,000 cash and $50,000 short-term note), we have to count up all the applicable expenses including Legal fees, delinquent taxes, Disposal of old building expenditures and remove the material salvaged profit from the destruction of the old building. The construction cost of the new warehouse exists extraneous here as, without this cost, the land exists already in a ready-to-use stage ( i.e: for building a new property on the land)

So, the amount of Cost of land to be reported exists

140K + 1,75K + 25K + 9K - 1K = $174,750.

To learn more about balance sheet refer to:

brainly.com/question/1113933

#SPJ9

8 0

1 year ago

Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.

azamat

Let a, b, and c be vectors each starting at the origin and terminating at the points (x, x + 1), (x + 2, x + 3), and (x + 3, 2x + 4), respectively.

Then the vectors a - b, a - c, and b - c are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(a - b) • (a - c) = 0

or

(a - b) • (b - c) = 0

or

(a - c) • (b - c) = 0

We have

a - b = (x, x + 1) - (x + 2, x + 3) = (-2, -2)

a - c = (x, x + 1) - (x + 3, 2x + 4) = (-3, -x - 3)

b - c = (x + 2, x + 3) - (x + 3, 2x + 4) = (-1, -x - 1)

Case 1: If (a - b) • (a - c) = 0, then

(-2, -2) • (-3, -x - 3) = (-2)×(-3) + (-2)×(-x - 3) = 2x + 12 = 0 ==> x = -6

which would make a - c = (-3, 3) and b - c = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (a - b) • (b - c) = 0, then

(-2, -2) • (-1, -x - 1) = (-2)×(-1) + (-2)×(-x - 1) = 2x + 4 = 0 ==> x = -2

which would make a - c = (-3, -1) and b = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (a - c) • (b - c) = 0, then

(-3, -x - 3) • (-1, -x - 1) = (-3)×(-1) + (-x - 3)×(-x - 1) = x ² + 4x + 6 = 0

but the solutions to x here are non-real, so we throw out this case.

So there are two possible values of x that make a right triangle, x = -6 and x = -2.

3 0

3 years ago

Y=7(15+x) solve for x m888888888888

horsena [70]

Y = 7(15 + x) Use the Distributive Property
Y = 105 + x Subtract 105 from both sides
Y - 105 = x Switch the sides to make it easier to read
x = Y - 105

4 0

3 years ago

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