The answer of this question

Jack was getting dressed in the dark and needed to get his socks. There were 18 pairs of socks in the drawer: 8 black pairs, 5 b

Marina CMI [18]

Because there are 18 socks, 18 is the denominator, and there are 3 blue so blues the numerator. So the chance of getting a blue sock is 3/18 chance. I hope this helps.

8 0

4 years ago

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Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2

Fantom [35]

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

6 0

3 years ago

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How are sales tax, tip and markup related

Ronch [10]

one is based on the other, is just extra charge based on the one before it.

say the store manager bought some scooter, she paid $10 for it.

well, she's not going to sell it for $10 because there are other costs, shipping, storage, cleaning up the scooter while in the store before is sold, rent for the store and so on, so the scooter is going to sell for more than $10............ hmmmm say $15.

so then the manager bumped up the price by $5, that bumped up amount is the markup.

now, the manager was so nice to you, she was wearing a nice perfume, so you give her a tip, the tip is usually, not always, but usually based on the price of the product, say you give her 10% tip, so 10% of 15 is 0.15.

whenever you buy that scooter, it comes with sales tax, provincial taxation to pay for public works, so you're not really going to pay $15 flat, it'll be $15 and some change, say tax is 20%, so you'll be buying that scooter for $15.30.

so, the scooter went from $10 to $15 due to markup to $15.15 with the tip to $15.45 if we add the 0.30 in tax.

the tip is based on the marked up price, and the tax is also based on the marked up price, though sometimes the tip is based on the after-tax price, not always.

7 0

3 years ago

The perimeter of a triangular park is (16x + 3) feet. Two of the sides are 5x - 1 and 2x + 5. What is the missing length?

rjkz [21]

Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

5 0

3 years ago

A process used to make a quadratic expression into a perfect square trinomial is called

S_A_V [24]

It is completing the square. Very useful since it finds the min or max.

y = x^2 + 8x + 17
y = (x^2 + 8x + ... ) + 17
y = x^2 + 8x + (8/2) ^2 + 17 - 4^2
y = (x^2 + 8x + 4^2 ) + 17 - 16
y = (x^2 + 8x + 16) + 1
y = (x + 4)^2 + 1

This means that the graph has a minimum at (-4 , 1) Check it out on the graph I've given you.

4 0

3 years ago