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WINSTONCH [101]
3 years ago
13

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Wr

ite a system of equations and find what is the price of a hot dog concession stand?
Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:

The hot dog are $2.63

Step-by-step explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625

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Question -3+13x=9.
aalyn [17]

Answer:

-3+13x=9.

13x=9+3

13x=12

x=12/13

i proved it by putting value of x in reactant side you get product .

-3+13×12/13=9

5 0
3 years ago
Read 2 more answers
The sum of four consecutive even integers is 180. what is the smallest integer?
n200080 [17]
42
let the smallest even number be x, than the four even numbers are x, x+2, x+4, x+6, their sum is 180

x+x+2+x+4+x+6=180
                4x+12=180
                      4x=168
                        x=42
the smallest even number is 42.

3 0
3 years ago
Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).
Mkey [24]

Answer:

10x^{3} - 26x^{2} - 12x

Step-by-step explanation:

1)  Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

10x^{3} - 30x^{2} + 4x^{2} -12x

2)  Collect like terms.

10x^{3} + (-30x^{2} +4x^{2} )-12x

3) Simplify.

10x^{3} - 26x^{2} -12x

Therefor, the answer is, 10x^3 - 26x^2 - 12x.

3 0
3 years ago
Express the fractions 1/2, 3/16, and 7/8 with an LCD
12345 [234]
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number. 

You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers. 

If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product. 

However, you will be able to see that 16 is indeed the lowest common denominator: 

2 × 8=16 

8 × 2=16 

16 × 1=16 

So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same). 

(1/2) x (8/8)= 8/16 

(3/16) x (1/1)= 3/16 

(7/8) x (2/2)= 14/16

6 0
3 years ago
Rita is hiking along a trail that is 15.8 miles long. So far she has hiked along one-tenth of the trail. How far has Rita hiked?
Phantasy [73]
The answer is 1.58 miles
8 0
4 years ago
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