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Natasha_Volkova [10]

3 years ago

15

Scott needs to mail a USB drive to a friend. He uses 41-cent stamps and 8-cent stamps to pay $1.87 in postage. How many of each

stamp did scott use?

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

4 41cent stamps would be $1.64/ 3- 8 cent stamps would be 23 cents/ $1.64 + 23= $1.87

Step-by-step explanation:

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at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4

Gennadij [26K]

Answer: 120 students

Explanation:

Let x be the number of scopes
Let a be the number of student at school

1x = 5 students
But 5x = a

1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.

=> (x + 6) = 4 students
=> 4(x + 6) = a

Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24

So, there are 24 scopes.

Plug x in both equation and compare:

5x = a
5(24) = a
120 = a

4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a

Therefore, the students at the school are 120

6 0

3 years ago

The sum of two number is 50. The second number is five times the first. Find the number

SOVA2 [1]

Answer:

x=25/3 & y=125/3

Step-by-step explanation:

Let first number be x

Second number be y

x+y=50

y=5x

=>x+5x=50

=>6x=50

=>x=50/6

=>x=25/3

5 0

3 years ago

The angle of depression from point R to point S is angle . The angle of elevation from point S to point R is angle .

Ivenika [448]

Well the apparation i the anggle r is the point for s

4 0

3 years ago

Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).

nalin [4]

The equation of the tangent line is $y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

To find the tangent to the hyperbola $\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }$ at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, $\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }$

So, at (x₀, y₀)

$\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }$

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, $\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

So, the equation of the tangent line is $y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

Learn more about equation of tangent line here:

brainly.com/question/12561220

3 0

3 years ago

Sales tax on a shirt is 0.07 times the cost of the shirt. The sales tax for a shirt is $1.26. Which equation could you use to fi

serious [3.7K]

Answer: First option.

Step-by-step explanation:

According to the explained in the exercise, "c" represents the cost of the shirt before sales tax.

You know that the tax on the shirt is 0.07 times its cost. This indicates a multiplication.

Then, that the sales tax is the product of 0.07 and "c":

$0.07c=sales\ tax$

Knowing that the sales tax for a shirt is $1.26, you can substitute this value into $0.07c=sales\ tax$ in order to find the equation that could be used to find the cost of the shirt before sales tax.

Then, this is:

$0.07c=1.26$

3 0

3 years ago

Read 2 more answers