Answer:
No, it is not a right triangle
Step-by-step explanation:
Let H = 14 cm
B = 3 cm
P = 13 cm
According to pythagoras theorem:
H^2 = P^2 + B^2
14^2 = 13^2 + 3^2
196 = 169 + 9
196 is not equal to 178
Hence, it is not a right triangle
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
Turn -2 into a fraction and find the gcf of -2 and 6:
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6
Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.
5/1 • 1/5x = -13/6 • 5/1
x = 65/6
Then, simplify
65/6} 10.83 or 10 83/100
Answers is 11/9 or decimal form is 1.222 repeating
Answer:
cost of one cupcake = $2.75
cost of one brownie = $1.25
Step-by-step explanation:
Let c = number of cupcakes
Let b = number of brownies
Equation 1: 5c + 2b = 16.25
Equation 2: 7c + 6b = 26.75
Multiply equation 1 by 3:
⇒ 15c + 6b = 48.75
Now subtract equation 2 from this equation to eliminate 6b:
⇒ 8c = 22
Divide both sides by 8:
⇒ c = 2.75
Substitute c = 2.75 into one of the original equations and solve for b:
⇒ 5(2.75) + 2b = 16.25
⇒ 13.75 + 2b = 16.25
⇒ 2b = 2.5
⇒ b = 1.25
Therefore, cost of one cupcake = $2.75 and cost of one brownie = $1.25
