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VMariaS [17]
3 years ago
9

The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for

3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink
Mathematics
2 answers:
pogonyaev3 years ago
7 0

Answer:

2h + 1d = 4.25

3h + 2d = 7.00

Step-by-step explanation:

-3(2h + 1d) = -3(4.25)

2 (3h + 2d) = 2(7.00)

-6h - 3d = -12.25

6h + 4d = 14

if we add them together we get D = 1.75

Checking:

2h + 1(1.75) = 4.25

2h + 1.75 = 4.25

2h = 2.5

h = 1.25

1.25 times 2 plus 1.75 = 4.25

Sergio [31]3 years ago
4 0

Answer:

<em>h </em>= $1.50

<em>d</em> = $1.25

Step-by-step explanation:

$1.50 + $1.50 = $3 + $1.25 = $4.25

$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7

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Find the ratio of the perimeter of the first figure to the perimeter of the second.
ololo11 [35]

Answer:

2:1

Step-by-step explanation:

The perimeter of the first is twice as large as the 2nd

5 0
2 years ago
What is 7/6-6/7 i need to know pls
madam [21]

Answer:

13/42

Step-by-step explanation:

7 0
3 years ago
A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev
Julli [10]

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0
2 years ago
What are the factors of the square root of 329
Andru [333]

Answer: x=-\dfrac{3}{2}, 7

Step-by-step explanation:

2x^2-10x-26=x-5

2x^2-10x-26-x+5=0  Move all terms to one side

2x^2-11x-21=0 Simplify 2{x}^{2}-10x-26-x+5

2x^2+3x-14x-21=0 Split the second term

x(2x+3)-7(2x+3)=0  Factor out common terms in the first two terms, then in the last two terms.

(2x+3)(x-7)=0 Factor out the common term 2x+3

x=-\dfrac{3}{2}, 7

5 0
3 years ago
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The Forest family watched television for a total of
r-ruslan [8.4K]
Show me the full question
3 0
3 years ago
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