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mr Goodwill [35]
3 years ago
7

Solve. –51/2 + 63/4 + (-41/4)

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

-20

Step-by-step explanation:

cause i did the math hope this helped :D

Gwar [14]3 years ago
6 0

I used a calculator, the answer is

-20

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There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
viktelen [127]

Answer:

The area 2730 possible arrangements of first, second, and third place.

Step-by-step explanation:

The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 from a set of 15. So

P_{(15,3)} = \frac{15!}{(15-3)!} = 2730

The area 2730 possible arrangements of first, second, and third place.

7 0
4 years ago
Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more t
CaHeK987 [17]
Refer to the diagram shown below.

The dimensions of the outside of the picture rame are:
Width   = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.

The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28

Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches

Answer: 4 inches

7 0
4 years ago
Factorise the following : ​
Free_Kalibri [48]

Answer:

(3x+4b)(a-2y)

Step-by-step explanation:

(3ax-6xy)+(8by-4ab)

3x(a-2y) -4b(-2y+a)

(3x+4b) (a-2y)

4 0
3 years ago
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an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring
Arada [10]
I believe it would be 30 gallons, because there are 4 every minute and 120 minutes in two hours. And 4 cups of 4 in in 16
8 0
3 years ago
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The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 , but it has been changed somewhatWhich of the following co
NNADVOKAT [17]

Answer:

B.

Step-by-step explanation:

Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify <em>a</em>, <em>h</em>, and <em>k</em> in f(x) = a(bx - h)² + k:

We would get f(x) = -(x - 2)² - 1 as our answer.

7 0
4 years ago
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