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aniked [119]
3 years ago
10

Four beneficiaries are to divide an estate of $289000 in the ratio. How much should each receive?

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer: 72250 dollars

Step-by-step explanation:

Just divide 289000 by 4 and you get 72250 dollars

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Garcia's Grill offers 77 side dishes, 55 types of steak, and 88 toppings. How many different smothered steak dinners can be made
svet-max [94.6K]

Answer:

Therefore the total number of ways that the customer can order the smothered steak dinner  is 9800.

Step-by-step explanation:

There are 7 side dishes, and  types of stake and 8 toppings.

The customer will have a smothered steak dinner.

The smothered steak dinner will consist of steak and 3 different toppings and 4\binom{8}{3} = \frac{8!}{3! \times 5!}  = 56 different side dishes.

The number of ways steak can be selected is =\binom{5}{1} = \frac{5!}{1! 4!}  =5

The number of ways toppings can be chosen is  = \binom{8}{3} = \frac{8!}{3! 5!}  = 56

The number of ways side dishes can be chosen = \binom{7}{4} = \frac{7!}{4!3!}  = 35.

Therefore the total number of ways that the customer can order the smothered steak dinner  is

= 5 × 56 × 35  = 9800.

7 0
3 years ago
A treasure chest sinks at a rate no less than 20 ft per second. The floor of the ocean is at most at -4200 feet. Will the treasu
SashulF [63]
4200ft divided by 20 ft per second divided by 60 seconds is 1400 minutes
5 0
3 years ago
Line L is mapped onto the line t by a dilation centered at
STatiana [176]

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

  • If the equation of a  line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
  • The line and its image are parallel
  • The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

7 0
3 years ago
45 is 90% of what number
choli [55]
45 = 90% * x
45 = .90x
45/.90 = x

x = 50

45 is 90% of 50
8 0
3 years ago
Read 2 more answers
1. Find the value of x in the figure below. Show all steps. (Left)
timofeeve [1]
I hope this helps you

5 0
3 years ago
Read 2 more answers
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