At a concession stand, seven hot dog (s )and two hamburger (s )cost $12.25; two hot dog (s )and seven hamburger (s )cost $14.75. find the cost of one hot dog and the cost of one hamburger.

The cost of hamburger is $1.75.

The cost of hot dog is $1.25

Step-by-step explanation:

Consider the provided information.

Seven hot dog (s )and two hamburger (s )cost $12.25;

Let the cost of hot dog is x.

The cost of hamburger is y.

Therefore,

......(1)

Two hot dog (s )and seven hamburger (s )cost $14.75.

......(2)

Use elimination method to solve the above equation.

Multiply equation 1 by 2 and multiply equation 2 by 7 and subtract them as shown:

Hence, the cost of hamburger is $1.75.

Now substitute the value of y in equation 1.

Hence, the cost of hot dog is $1.25

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.