Number 14, please...

Mathematics

1 answer:

lora16 [44]2 years ago

5 0

So you know that the area is greater than or equal to 60. Since 1/2 b x h is area, .5 x 12 x height (c) is greater than or equal to 60. Then solve, so .5 x 12 is 6, so 6c is greater than or equal to 60. then divide both sides by 6 and you end up with c is greater than or equal to 10

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Which is the simplified rational expression for r2-4r+5/r-4

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Step-by-step explanation:

$\frac{ {r}^{2} - 4r + 5}{r - 4} - \frac{ {r}^{2} + 2r - 8}{r - 4} \\ = \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2} + 2r - 8) }{r + 4} \\ = \frac{ {r}^{2} - {r}^{2} - 4r - 2r + 5 - 8 }{r - 4} \\ = \frac{ - 6r - 3}{r - 4}$

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Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a

NemiM [27]

$\frac{1}{6}$ or 0.167 pounds more butter was used than sugar

Solution:

Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a pound of sugar

To find: Amount of butter used than sugar

From given information,

$\text{Butter used} = \frac{2}{3} \text{ pound }$

$\text{Sugar used } = \frac{1}{2} \text{ pound }$

To find how much butter is used than sugar, find the difference between them

$Difference = Butter\ used - Sugar\ used$

$Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\$