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3 years ago

Find the solution of the system of equations.

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

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During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale

ozzi

Answer:

$ 75.

Step-by-step explanation:

From the information above,

List price of model II = $240

Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.

Therefore,

Let the sale price be X,

= (1/4)*(list price) + (1/5)*X

X = (1/4)*(240) + (1/5)*X

X = 60 + (1/5)X

Solving for X,

X - (1/5)X = 60

(4/5)X = 60

X = (60*5)/4

= $75.

4 0

3 years ago

Wspppppppppppgutssssss

alexgriva [62]

Answer:

Yes

Step-by-step explanation: There are four apples.

3 0

3 years ago

Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units

OleMash [197]

$\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill$

$\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}$

6 0

3 years ago

16.37 rounded to the nearest whole number is 16 feet per second.true or false

Verizon [17]

Answer: true i guess ;-;

Step-by-step explanation:

7 0

3 years ago

Ganezh [65]

If two triangles are similar, it means that one is the scaled version of the other.

In similar triangles, correspondant angles are the same, and correspondant lengts are all in the same ratio $r$ . The ratio between the areas is $r^2$ .

So, for example, if the scale ratio is $r = 2$ , all sides of the new triangle are twice as long as the sides of the old one, and the area of the new one is $r^2 = 4$ times the area of the old one.

Since in this case the two areas are equal, their ratio is $r^2 = 1$ . This implied that also $r = 1$ , which means that also correspondant sides are equal.

In other words, these two triangles are not only similar, but congruent. This means that, in particular, all correspondant sides have same length, so the longest side of ABC has a length of 25 as well.

3 0

3 years ago