The cost of soda is $4.75 and the cost of hot dog is $2.5
<u>Step-by-step explanation</u>:
<u>Let us assume :</u>
- The cost of soda be 'x'.
- The cost of hot dog be 'y'.
<u>Given that,</u>
The cost of 2 sodas and 3 hot dogs are $17.
⇒ 2x + 3y = 17 ------(1)
The cost of 5 sodas and 6 hot dogs are $38.75
⇒ 5x + 6y = 38.75 -------(2)
<u>Solving the equations to find x and y values :</u>
Multiply eq(1) by 2 and subtract eq(2) from eq(1),
4x + 6y = 34
-(<u>5x + 6y = 38.75</u>)
<u>-x = -4.75 </u>
The value of x = 4.75
The cost of soda is $4.75
Substitute x=4.75 in eq(1),
2(4.75) + 3y = 17
3y = 17 - 9.5
3y = 7.5
y = 7.5/3
y = 2.5
The cost of hot dog is $2.5
The answer is A in my opinion
<h2>
Answer:</h2><h2>c = -24</h2><h2 /><h2>Hope this helps!!</h2>
The value of y in rectangle QRST is 1
Step-by-step explanation:
A Rectangle is a quadrilateral with opposite sides equal and parallels among several of its other features. Its other features include opposite ends meet at right angle and diagonals are equal
In the given data the sides are "11y+9" "19y+28" and "20y"
Since for rectangle opposite sides are equal
hence 11y+9 must be equal to 20y
11y+9=20y -- equation 1
rearranging the equation we get,
9y=9 (transferring 11y to the right side of the equation)
Therefore y=1
Hence y=1 in the given rectangle QRST
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence