Mathematics, 17.10.2019 20:00 jess6142

Shirley owns a diner. she decides to charge $1.50 for 2 egga and one piece of toast a $.90 for one egg and one piece of toast. write and solve a system of equations to determine the cost of 1 egg and the cost of 1 piece of toast

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Answer from: AQUI

1 toast costs $0.30 and 1 egg cost $0.60

Step-by-step explanation:

Let price of 1 egg be and price of 1 toast be

"$1.50 for 2 eggs and one piece of toast":

We can write 2e+t=1.50

"$.90 for one egg and one piece of toast":

We can write e+t=0.90

Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:

$t=1.50-2e\\Also\\e+t=0.90\\Substituting:\\e+(1.50-2e)=0.90\\e+1.50-2e=0.90\\-e=0.90-1.50\\-e=-0.6\\e=0.6$

Now using the value of e (0.6) and putting it back in the first equation, we will get t:

$2e+t=1.50\\2(0.6)+t=1.50\\1.2+t=1.50\\t=1.50-1.20\\t=0.30$

Hence, 1 toast costs $0.30 and 1 egg cost $0.60

Answer from: Quest

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

$\frac{1}{2}$ (0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

$\frac{1}{2}$ (4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

Answer from: Quest

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