Santa's favorite snack used to cost $1.45 a box. If the cost has gone up 15%, what's the price now?

1 answer:

8 0

We know that Santa's favorite snack used to cost $1.45 a box and the cost has gone up 15%. We must calculate the new price.

To calculate the new price we must calculate the 15% of the old price and then add up the old price and its 15%.

1. We must calculate the 15% of the old price

$\text{ \$}1.45\cdot0.15=\text{ \$}0.2175$

2. we must add up the old price and its 15%

$\text{ \$}1.45+\text{ \$}0.2175=\text{ \$}1.6675$

Finally, the price now is $1.6675

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An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row

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Answer:

The number of trees in each row is 21.

Step-by-step explanation:

Let us assume the number of trees in each row = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651 = m (m + 10)

$651 = m^2 + 10m\\\implies m^2 + 10m - 651 =0\\or, m^2 + 31m 21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0$

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m = 21

Hence, the number of trees in each row is m = 21.

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Sever21 [200]

Answer:

There's no proportional relationship between number of laps and minutes.

Step-by-step explanation:

The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.

So therefore, the relationship between the x and y cannot be proportional.

We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.

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