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Lisa [10]
3 years ago
7

3 packets of French fries, 2 cheeseburgers, and one drink cost $10.95. 1 packet of French fries, 2 cheeseburgers, and 3 drinks c

ost $11.25. Find the price of 1 packet of French fries, 1 cheeseburger, and one drink?
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

Step-by-step explanation:

Let

x ----> the price of 1 packet of French fries

y ---> the price of 1 cheeseburger

z ---> the price of one drink

we know that

3x+2y+z=10.95 ----> equation A

x+2y+3z=11.25 ---> equation B

Adds equation A and equation B

3x+2y+z=10.95\\x+2y+3z=11.25\\------------\\3x+x+2y+2y+z+3z=10.95+11.25\\4x+4y+4z=22.2

Divide both sides of the equation by 4

x+y+z=5.55 ----> equation C

The equation C means ----> The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

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Step-by-step explanation:

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3 years ago
If 21 is added to a number the result is 40 less than twice the number what is the number?
Karolina [17]
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40   Add 40 to both sides
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7 0
3 years ago
The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l
choli [55]

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

Thus the cube root of the larger number is 9.

8 0
3 years ago
Find the domain of the function.
bonufazy [111]

x + 6 >= 0

x >= -6

Choice B is the answer.

Do you know why?

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If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle
d1i1m1o1n [39]

Given:

The measurement of the angles of a triangle are 3b,2b,and 4b.

To find:

The smallest angle.

Solution:

According to the angle sum property, the sum of all angles of a triangle is 180 degrees.

3b+2b+4b=180^{\circ}           [Angle sum property]

9b=180^{\circ}

Divide both sides by 9.

b=20^{\circ}

Now,

3b=3(20^{\circ})=60^{\circ}

2b=2(20^{\circ})=40^{\circ}

3b=4(20^{\circ})=80^{\circ}

Therefore, the smallest angle is 40 degrees.

6 0
3 years ago
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