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laiz [17]
4 years ago
6

A school is planning a field trip for 142 people. the trip will use six drivers and two types of vehicles : buses and vans. A bu

s can seat 51 passngers.
A van can seat 10 passengers. Write and solve a system of equations to find how many buses and how many vans will be needed
Mathematics
1 answer:
Dimas [21]4 years ago
5 0

Step-by-step explanation:

The trip will use six drivers therefore

x+y=6

51x+10y=142 (A bus can seat 51 passengers. A van can seat 10 passengers.)

10x+10y=60

41x=82

x=2 buses

y=4 vans

Got it?

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After driving 152 ​km, 4/5 of a trip is completed. How long is the total​ trip? How many more kilometers must be driven to compl
nikitadnepr [17]

Answer:

1. Total Trip Distance = 190 kilometers

2. To complete the trip, 38 more kilometers left


Step-by-step explanation:

1.

Let total trip be x kilometers.

So we can say

<em>"152 is \frac{4}{5} of total" --- this into equation is:</em>

152=\frac{4}{5}x\\x=\frac{152}{\frac{4}{5}}\\x=190


Total trip is 190 km.


2.

Since already driven 152, to complete 190, you have to drive  190-152=38 kilometers more.

So, 38 more kilometers to complete the trip.

7 0
4 years ago
Read 2 more answers
If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Aleks04 [339]

Answer:  $30

Step-by-step explanation:

So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30

(I'm assuming what you mean by "how much money he will have" is profit)

3 0
2 years ago
Read 2 more answers
Bea's uncle said that if you subtract 15 from 3 times his age you would get 60. Be a wrote this equation: 3x- 15= 60. how old is
Gnom [1K]

Answer: Bea's uncle is 25 years old.

Step-by-step explanation:

Given the equation 3x- 15= 60, we can say that the<u> </u>variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":

We must add 15 to both sides of the equation:

3x- 15+(15)= 60+(15)\\3x=75

Now we need to divide both sides of the equation by 3:

\frac{3x}{3}=\frac{75}{3}\\\\x=25

Therefore, we can conclude that Bea's uncle is 25 years old.

3 0
3 years ago
Solve this to pretty pretty pls
earnstyle [38]

Answer:

3) 161

Step-by-step explanation:

Indeed this is pretty easy :D

What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:

V=lhw

(Formula to find the volume of a rectangular prism)

140=(4)(7)w\\ 140=28w\\ 5=w

Now that we have the width, can find the area of the top part of the prism:

(5)(4)=20

The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:

A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5

So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:

A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166

Subtract these two results...:

166-5=161

And we are done!

3 0
2 years ago
If the volume of a cube is 125 cubic meters, what is the length of each arm?
VashaNatasha [74]

Answer:

5 metres.

Step-by-step explanation:

The volume is the length of each edge cubed,

so x^3 = 125    where x is that length.

x = ∛125

= 5.

7 0
3 years ago
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