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Viktor [21]
3 years ago
8

Two burgers and one hotdog cost $4.82. At the same price ,one burger and two hotdogs cost $3.70. How much does a hotdog cost?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0
Hello!

Let's use 'x' to represent the cost of the burger, and 'y' to represent the cost of the hotdog.

2x + y = 482

× + 2y = 370

2x + 47 = 740

-3y = -258

y = 86 cents

2x + 86 = 482

2x = 396

x = 198

A burger costs $1.98 and a hot dog costs $.86

I hope this didn't confuse you, I'm not very good at explaining!
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an airplane has flown 260 miles out of a total trip of 500 miles. What fraction in simplest form of the trip has been completed
solmaris [256]
260/500 = .52
.52 = 13/25
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3 years ago
Graph the line. y=-1/5x+4
vfiekz [6]

Answer:

Step-by-step explanation:

5 0
3 years ago
Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12
insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation  h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

-16t^2+ 160t + 120=0

Applying quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where, a=-16, b=160 and c=120

x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}

x=\frac{-160\pm\sqrt{33280}}{-32}

x=\frac{-160\pm 182.42}{-32}

x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}

x=−0.70,10.70

Reject the negative value.

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4 0
3 years ago
QUESTION 4
ANEK [815]

(2x-1)(x+4)=0

Step-by-step explanation:

A random zero property of multiplication is taken to find the solution

(2x-1)(x+4)=0

consider a=2x-1 and b=x-4                                      a.b=0

                                                                           either a or b or both must be 0

equating both the equations

2x-1=0 or x=4=0        x-4=0

2x-1=0                         x=4  

2x=1

x=1/2

substitute the values of x in the main equation

[2(1/2)-1][(1/2)+4]=0

3 0
3 years ago
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yuradex [85]

42 servings of lemonade can be made

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