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irga5000 [103]
2 years ago
5

For a trip, one high school rented and filled 8 vans and 9 buses with 228 students. Another high school instead fit it's 124 stu

dents in 4 vans and 5 buses. With each bus and van seating the same number of students, how many students can a bus carry? How many students can a van carry?
Mathematics
1 answer:
Butoxors [25]2 years ago
5 0
8v + 9b = 228
4v + 5b = 124....multiply by -2
------------------
8v + 9b = 228
-8v - 10b = - 248 (result of multiplying by -2)
----------------add
-b = - 20
b = 20 <=== each bus holds 20 students

4v + 5b = 124
4v + 5(20) = 124
4v + 100 = 124
4v = 124 - 100
4v = 24
v = 24/4
v = 6 <=== each van holds 6 students
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Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
2 years ago
Sarah kept track of the points she scored during her first five basketball games in the table shown.
grandymaker [24]

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

4 0
2 years ago
A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that
olganol [36]

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

4 0
2 years ago
Read 2 more answers
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
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The perimeter of a triangle is 76cm side of the triangle is twice as long as side b .side c is 1 cm longer than a side a .find t
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P= a+b+c = 76
side a = 2b = 30
side b = b = 15
side c = 2b + 1 = 31
7 0
2 years ago
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