Answer:number of cupcakes sold is 13
Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Jane sold.
Let y represent the number of cookies that Jane sold.
Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.
This means that
2.25x + 0.5y = 42.75 - - - - - - - - - -1
she sold 40 cupcakes and cookies combined, it means that
x + y = 40
Substituting x = 40 - y into equation 1, it becomes
2.25(40 - y) + 0.5y = 42.75
90 - 2.25y + 0.5y = 42.75
- 2.25y + 0.5y = 42.75 - 90
- 1.75y = - 47.25
y = - 47.35/-1.75
y = 27
x = 40 - y
x = 40-27 = 13
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Answer:
Step-by-step explanation:
Slope Formula: 
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:
Complementary angles add up to 90.
First angle:x
Second angle:3x
x+3x=90
4x=90
x=22.5
The first angle is 22.5 degrees and the complement is 67.5
Try this solution:
PS. √17≈4.1231056256176605498214098559741.
Answer:
Step-by-step explanation:
<h3>Given </h3>
- Point (5, -7) and midpoint (15, 1)
<h3>To find</h3>
<h3>Solution</h3>
<u>Midpoint formula:</u>
- x = (x1 + x2)/2,
- y = (y1 + y2)/2
<u>Substituting values:</u>
- 15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 25
- 1 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9
<u>Missing endpoint is:</u>
