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3 years ago

Solve the system of equations given below

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

idek

Step-by-step explanation:

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In a recent survey, 230 or 46% of the sample, said they usually ate fast food when they went out to eat. How many people were su

Free_Kalibri [48]

Answer:

500.

Step- by-step explanation:

46% = 0.46 as a decimal fraction.

So it is 230 / 0.46

= 500.

3 0

3 years ago

A number increased by 10 is the same as three times the number decreased by 4 what is the equations

tatiyna

X+10=3x-4
14=2x
x=7
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3 years ago

A local drugstore sells tissues at 10 boxes for $7.50. A super discount

Dominik [7]

The warehouse because at the drug store it is 0.75 a box

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4 years ago

Read 2 more answers

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

3 years ago

Write an equation in slope-intercept form of the line that passes through (2,0) and is perpendicular to y=1/5 x-2.

Advocard [28]

Answer:

$y = -5x+10$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,0)$

$y = \frac{1}{5}x - 2$

Required

Determine an equation that perpendicular to the equation

An equation has the form:

$y = mx + b$

Where

$m = slope$

By comparison:

$m = \frac{1}{5}$

Next, we determine the slope of the new line.

When two lines are perpendicular, the following relation exist:

$m_2= -\frac{1}{m_1}$

Substitute 1/5 for m1

$m_2= -\frac{1}{1/5}$

$m_2= -5$

The equation of the line is then calculated using:

$y - y_1 = m(x - x_1)$

Where:

$m_2= -5$ and $(x_1,y_1) = (2,0)$

This gives:

$y - 0 = -5(x - 2)$

$y = -5(x - 2)$

$y = -5x+10$

8 0

3 years ago