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4 years ago

At a sale this week, a table is being sold for $213. This is a 29% discount from the original price. What is the original price?

1 answer:

3 0

First, since we're told there is a 29% discount on the original price, then $213 must be 71% of the original price because 100%-29%=71%. Then, it is also important to realize that we should use the decimal form of 71% which is 0.71. This is found by dividing 71 by 100 or simply moving the decimal point twice to the right. Then, we can write the equation 0.71x=213 where x represents the original price. This equation is essentially saying that 71% of some price is equal to $213. To solve this equation, you have to divide both sides by 0.71 to get x=$300 which is the final answer.

I hope this helps.

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Find the values of x and y for which the quadrilateral below must be a parallelogram.

Fofino [41]

Since there is no picture, find here-under the conditions that a quadrilateral becomes a parallelogram:
( All are either or)
1- opposite sides should be congruent
2- opposite angles should be congruent
3- opposite sides parallel
4-The sum of 2 adjacent angles to equal 180°
5 the 2 diagonals intersect in their middle

With any of these conditions, if confirmed, you can conclude that the quadrilateral is a parallelogram (By the way a rectangle is a parallelogram with one angle =90°

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3 years ago

Read 2 more answers

Noah is baking a two-layer cake, in which the bottom layer is a circle and the top layer is a triangle. If segment AB = 5 inches

padilas [110]

Hey There!! I already did this Question before but, I'm just going to say it...

segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle ⇒ answer D. * Lets revise some facts in the circle

- If a circle is circumscribed around a triangle, then the vertices of the

triangle divide the circle into three arcs

- The three sides of the triangle are the chords of the circle

- Each chord in the circle subtended by an arc

- If two arcs equal, then they are subtended equal chords

* Lets solve the problem

∵ Circumscribed circle D around triangle ABC

- The vertices of triangle ABC lie on the circumference of the circle

∴ AB , BC , AC are the chords of the circle

- Arcs AB and AC are congruent

∵ Arc AB ≅ arc AC

∵ Arc AB subtended the chord AB

∵ Arc AC subtended the chord AC

∴ AB = AC

∵ AB = 6 inches

∴ AC = 6 inches

- The triangle with two equal sides is called an isosceles triangle

∴ Δ ABC is an isosceles triangle

∴ Noah know that the top layer of his cake is an isosceles triangle

* segment AB ≅ segment BC because their arcs are congruent;

therefore, ΔABC is an isosceles triangle.

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6 0

3 years ago

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can

Debora [2.8K]

Answer:

The number of tile for which the cost is same route to nearest tile is 49 .

Step-by-step explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴ n = $\frac{25}{0.51}$

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer

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3 years ago

I need help with math pls

BaLLatris [955]

Answer:

Step-by-step explanation:

It should be D

6 0

3 years ago

Read 2 more answers

Find the distance CD rounded to the nearest tenth. <br> C = (6,-5) and D = (-1,-4) <br> CD=

bezimeni [28]

Distance between points C and D is 7.07

Step-by-step explanation:

We need to find the distance between points C = (6,-5) and D = (-1,-4)

The formula used to find distance is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We are given points C=(6,-5) and D=(-1,-4)

We have: $x_2=-1,x_1=6,y_2=-4,y_1=-5$

Putting values and finding distance:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-1-6)^2+(-4+5)^2}$

$d=\sqrt{(-7)^2+(1)^2}$

$d=\sqrt{49+1}$

$d=\sqrt{50}$

$d=7.07$

So, Distance between points C and D is 7.07

Keywords: Distance between points

Learn more about Distance between points at:

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4 years ago