3 years ago

I need to find the percentage of each round to the nearest cent if necessary.

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

8 1/2% of 4300 is 365.5

7 1/4% of 8200 is 594.5

9.2% of 3600 is 331.2

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Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment.What fraction of her allowance did she spend on other items

Stella [2.4K]

You need to create common denominators and then add and then subtract to get 22/48

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3 years ago

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Evaluate the expression for the given value of the variable 3a+4b; a= -6, b=-5

Dimas [21]

3 x -6 + 4 x -5
= -18+ -20
= -38

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3 years ago

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Given you or a person holding a kite string 100 feet long write and draw what the height or altitude the kite is off the ground

Salsk061 [2.6K]

Answer: $75.47\ ft$

Step-by-step explanation:

Given

String of the kite is $l=100\ ft$

Angle of elevation $\theta=49^{\circ}$

suppose altitude of the kite is h

from the figure, we can write

$\Rightarrow \sin 49^{\circ}=\dfrac{h}{100}\\\\\Rightarrow h=100\sin 49^{\circ}\\\\\Rightarrow h=75.47\ ft$

Thus, the altitude of the kite is $75.47\ ft$

8 0

3 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

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3 years ago

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement

ZanzabumX [31]

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

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