Answer:
200
Step-by-step explanation:
200×4%=8
8×3=24
The original amount is $200
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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Answer:
5x + 10
Step-by-step explanation:
Each term in the parenthesis is multiplied by the 5 outside, that is
(5 × x) + (5 × 2) = 5x + 10
Answer:
Step-by-step explanation:
Let d represent number of dolls in 2nd basket.
We have been given that a day-care center has 2 baskets of dolls. One basket has 8 dolls, and the other basket has an unknown number of dolls in it. We are asked to represent this situation in an expression.
The number in both baskets would be equal to dolls in 1st basket plus dolls in 2nd basket.
We can represent this information in an expression as:
Therefore, our required expression would be
, where d represents number of dolls in 2nd basket.
Again here we're using like terms
a) -2x² + 12x² = 10x² (they have the same term that's why I grouped them together)
-4x + 2x = -2x
13 - 25 = -12
So the final answer is 10x² - 2x -12
b) 7x² - (-7x²) = 7x² + 7x² or 14x²
4x - (-3x) = 4x + 3x or 7x
-26 - 15 = -41
The final answer to this one is 14x² + 7x - 41