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BaLLatris [955]

3 years ago

14

a man spends 1/3 of his wages on food, 1/5 on rent. if he saved the rest what fraction of his wage did he save?

1 answer:

Lynna [10]3 years ago

8 0

Total wages = 1
Food = 1/3
Rent = 1/5
Savings = total wages - food - rent
= 1 - 1/3 - 1/5
= 15/15 - 5/15 - 3/15
= 7/15

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Yu-Jun's craft store sells 3 handmade

Alekssandra [29.7K]

Answer:

C =3.33x

Step-by-step explanation:

The cost of 1 barrette is

9.99/3 sine it is 9.99 for 3 barrettes

or 3.33 per barrette

We want x barrettes

or 3.33*x

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3 years ago

Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of

love history [14]

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

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s = arc length

n = measure of the central angle of the sector

$s = \dfrac{n}{360^\circ}2 \pi r$

$8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm$

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Area of sector of circle of radius r:

$A = \dfrac{n}{360^\circ} \pi r^2$

A = area of sector of circle

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2 years ago

-5|x+1|=10 solve for x

katrin [286]

Answer:

x=-3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

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2 years ago

With what radius will a circle with a central angle

Vinil7 [7]

Answer:

no

Step-by-step explanation:

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3 years ago