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Debora [2.8K]
2 years ago
5

Forty-five basketball players participate in a tournament. write and solve an equation to find the number x of 3-person teams th

at they can form.
Mathematics
1 answer:
grin007 [14]2 years ago
3 0
Given that the order of selection does not matter, it is the combination of 45 persons taken of 3.

This is (45!) / [(45-3)! * 3! ] = 45*47*46 / (3*2) = 16,215.

Answer: 16,215 different 3 person teams


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Use the points (1997, 13) and (2005, 22) to write the slope intercept form of an equation for the line of fit shown in the scatt
Rainbow [258]
Answer: C. y=1.13x-2233.63
6 0
2 years ago
A stereo manufacturer makes three types of stereo systems, I, II, and III, with profits of $20, $30, and $40, respectively. No m
romanna [79]
So,

1. Type I profits $20
2. Type II profits $30
3. Type III profits $40
4. I/day < 100
5. Type I needs 5 hrs.
6. Type II needs 10 hrs.
7. Type III needs 15 hrs.
8. Total hrs. available: 2000 hrs.

Every +5 hrs. spent yields an extra $10.
If we use 500 hrs. to make 100 Type I stereos, we will profit $2000.
If we use 500 hrs. to make 50 Type II stereos, we will profit $1500.
If we use 495 hrs. to make 33 Type III stereos, we will profit $1320.

We should use the first 500 hrs. to make Type I stereos.
We should use the last 1500 hrs. to make Type II stereos.

$2000 + $4500 = x
$6500 = x

There must be 100 Type I stereos made along with 150 Type II stereos made.
4 0
2 years ago
A giraffe measures 17 feet tall . A gorilla mesures 63 inches tall. How many feet taller is the giraffe than the gorilla
9966 [12]

Answer:

11.75 feet

Step-by-step explanation:

17 times 12 = 204 inches

204 - 63 = 141 inches

141/12 = 11.75 feet

4 0
2 years ago
Zaire is buying a truck that costs p dollars. The expression shown represents the sales tax on the truck.
natima [27]

Answer:

The expression representing the total price of the truck including the sales tax is 1.07p

Step-by-step explanation:

The total price of the Truck can be calculated by adding the cost of the Truck to the sales tax of the Truck

From the question, the cost of the truck is $ p while the tax is 0.07p

So the total price of the truck will be;

p + 0.07p

= p( 1 + 0.07)

= p(1.07)

= 1.07p

8 0
2 years ago
Which expression is equivalent to the given polynomial expression?
ivolga24 [154]

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

6 0
2 years ago
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