Multiply 12 and 5 which is 60, then multiply 8 and 3 which is 24. Subtract 24 from 60 to find the shaded area which is 36, so the shaded area equals 36 cm.
Multiply 36, 28, 11, and 22. Which equals 243,946 m. Then multiply 7, 6, 18, and 13 which equals 9,828 m. Then subtract 9,828 from 243,936 which equals 234,108
75 percent
Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:

Then the total amount of pure fruit juice in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:



+

--------------------------------------



We substitute the value of A into one of the two equations and solve for B.


Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Step-by-step explanation:
y = x² − 14x + 24
To convert to vertex form, complete the square. Take half of the second coefficient, square it, then add the result to both sides.
(-14/2)² = 49
y + 49 = x² − 14x + 49 + 24
y + 49 = (x − 7)² + 24
y = (x − 7)² − 25
The vertex is (7, -25).