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KATRIN_1 [288]
3 years ago
5

Find the inequality represented by the graph

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

y = -4/3 x + 5

Step-by-step explanation:

The line crosses y-intercept at 5 gown does 4 units and then left 3 units.

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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 customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times a
alexira [117]

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

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