Answer:
7/20 is left
Step-by-step explanation:
2/8 (reduced is 1/4) for food
1/5 for prizes
2/10 (reduced is 1/5) for decorations
? for what's left
Add all the fractions up by finding a common denominator.
1/4 + 1/5 + 1/5
5/20 + 4/20 +4/20 = 13/20
He spent 13/20 of his money on this stuff. What part of that is left?
1 - 13/20 (AKA 20/20 - 13/20)
= 7/20
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Answer: 358 square units
Steps:
(12 * 20) + (10 * 10) + (6 * 3)
240 + 100 + 18
358
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
Answer:
16
Step-by-step explanation:
This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.
