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Rainbow [258]
3 years ago
15

The ratio of collectible cards Deshawn owns to cards that Stephanie owns is 5:2 Stephanie has 36 cards how will the ratio of Des

hawn's cards to Stephanie's cards change if they both sell half there cards.
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Given :

The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.

Stephanie has 36 cards.

To Find :

How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Solution :

Number of card Deshawn had, n = 5/2 × 36

n = 90 .

Number of card after they sell half there cards :

n_D = \dfrac{90}{2}=45

n_S=\dfrac{36}{2}=18

Therefore, new ratio is \dfrac{45}{18}=5 : 2.

So, new ratio will be same.

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The equation of the line will be y = 4x. Then the correct option is A.

<h3>What is the equation of line?</h3>

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Writing an Equation from a Table

A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.

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7 0
2 years ago
What is 6x-3x<br> need help
Andreas93 [3]

Answer:

(6x + (-3)) = 3x


4 0
4 years ago
Read 2 more answers
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
Can someone help me answer this
KonstantinChe [14]
First find the little square (2x3= 6) then the big one is 5x3= 15 (subtract three from 6) and then add them 15+6=21
Your answer is 21 feet
4 0
3 years ago
HELP ME <br> What is the expression in simplest form? 21 - 6n + 2(2n - 5 ) - 3n
goblinko [34]

21-6n+2(2n-5)-3n

First, multiply 2x2n and 2x-5

21-6n+4n-10-3n

Then rearrange the terms

4n-6n-3n+21-10

Then combine like terms

-5n+11

hope it helps!

5 0
4 years ago
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