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Sidana [21]
4 years ago
7

Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pa

ck of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.
Mathematics
1 answer:
stepladder [879]4 years ago
3 0

Answer:

$5

Step-by-step explanation:

  • <em>Note. There are no options to select.</em>

<u>Let the notebook cost x, then Mark spent:</u>

  • 25x + 25*1.25 = 156.25
  • 25x + 31.25 = 156.25
  • 25x = 156.25 - 31.25
  • 25x = 125
  • x= 125/25
  • x= 5

Notebook costs $5

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Que presion manométrica debe de producir una bomba para subir agua del fondo del gran cañon ( elevación 730 m ) a indian gardens
Alexxandr [17]

Answer:

La presión manométrica debe ser 6,272,000 Pa = 61.9 atm

Step-by-step explanation:

La presión absoluta se refiere al valor de presión referido al cero absoluto o al vacío, sin presión atmosférica. Es decir, la presión absoluta es la presión con respecto al vacío total.

La presión manométrica es la que ejerce un medio distinto al de la presión atmosférica y representa la diferencia entre la presión real o absoluta y la presión atmosférica. Es decir, la presión manométrica se mide en relación a la presión atmosférica y se define como la diferencia entre presión absoluta (Pabs) y presión atmosférica predominante (Patm). La presión manométrica sólo se aplica cuando la presión es superior a la atmosférica.  

Entonces,  Pmanometrica = Pabs – Pamb

Para encontrar la presión a una profundidad h en un líquido sin movimiento, expuesto al aire cerca de la superficie de la Tierra, la presión manométrica puede ser calculada mediante:

Pmanometrica=ρ*g*Δh

donde ρ es la densidad del fluido, g la gravedad y Δh la variación en la altura.

En este caso:

  • ρ=1000 \frac{kg}{m^{3} } (densidad del agua)
  • g= 9.8  \frac{m}{s^{2} }
  • Δh=hfinal - hinitial= 1370 m - 730 m= 640 m

Reemplazando:

Pmanometrica=  1000 \frac{kg}{m^{3} } *9.8 \frac{m}{s^{2} } * 640 m

Resolviendo:

Pmanometrica= <u><em>6,272,000 Pa = 61.9 atm</em></u> (siendo 1 pascal = 9.869*10⁻⁶ atmósferas )

6 0
3 years ago
N(17+x)=34x-r solve for x
77julia77 [94]

Answer:

x=\frac{-17n-r}{(n-34)}

Step-by-step explanation:

 Given:                      

                          n(17+x)=34x-r

                Taking the terms of x to one side.

                                17n+nx=34x-r\\

                              nx-34x=-17n-r\\\\x(n-34)=-17n-r\\\\x=\frac{-17n-r}{(n-34)}

The value of x is:

                                 x=\frac{-17n-r}{(n-34)}

                   

6 0
4 years ago
PLEASE HELP!!!! The two points shown below (-2,-4) (3,-4)are reflected across the x-axis. Then, the four points are connected to
Allisa [31]

Answer:

26 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is reflected across the y axis, the new point is A'(x, -y).

The reflection of the point (-2,-4) across the x axis gives (-2, 4) while the reflection of (3, -4) gives (3, 4)

The distance between (-2, -4) and (-2, 4) is the length while from (-2, -4) to (3, -4) is the breath. Hence:

Lengthth=\sqrt{(-2-(-2))^2+(-4-4)^2}=\sqrt{64}=8\\  \\Breadth=\sqrt{(-2-3)^2+(-4-(-4))^2}=\sqrt{25}=5

Perimeter of rectangle = 2(length + breath) = 2(8 + 5) = 2(13) = 26 units

7 0
4 years ago
I WILL MAKE YOU THE BRAINLIEST EASY QUESTION
Lemur [1.5K]

1. the answer is 27/10

2. the answer is 3 1/7

3. the answer is 3 5/6


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6 0
3 years ago
Read 2 more answers
This is my question​
Talja [164]

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

\frac{DE}{AB} = \frac{DC}{AC}

\frac{4}{3} = \frac{x + 3}{x + 1}

Solve for x

4(x + 1) = 3(x + 3)

4x + 4 = 3x + 9

4x + 4 - 4 = 3x + 9 - 4

4x = 3x + 5

4x - 3x = 3x + 5 - 3x

x = 5

Use the value of x to find AC and DC

AC = x + 1 = 5 + 1 = 6

DC = x + 3 = 5 + 3 = 8

4 0
3 years ago
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