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4 years ago

Can anyone solve this?

Mathematics

2 answers:

Olenka [21]4 years ago

5 0

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Step-by-step explanation:

Given,

Total number of students and teachers = 409

Students and teachers in each bus = 55

Students and teachers in each van = 12

Let,

x be the number of buses

y be the number of vans

55x+12y=409 Eqn 1

x = y+5 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$55(y+5)+12y=409\\55y+275+12y=409\\67y=409-275\\67y=134$

Dividing both sides by 67

$\frac{67y}{67}=\frac{134}{67}\\y=2$

Putting y=2 in Eqn 2

$x=2+5\\x=7$

Number of students and teachers who rode in vans = Number of vans * Teachers and student in each van

Number of students and teachers who rode in vans = 12*2 = 24

Number of students and teachers who rode in buses = 7*55 = 385

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

Nataliya [291]4 years ago

5 0

Answer:

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Step-by-step explanation:

the other guy is 100% correct

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3 years ago

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Answer:

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Step-by-step explanation:

Given

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Hence, the error in her workings is that she should have pre-inform her before God and man.

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3 years ago

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4 years ago

If point U is reflected across the x = -3, what are the coordinates of its reflection image?

Elena L [17]

The coordinates of U after the reflection are: (-5, -3)

<h3>How to get the coordinates after the reflection?</h3>

By looking at the graph, we can see that the coordinates of point U are:

U = (-1, -3)

And we want to reflect it across the line x = -3.

Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.

The original x-component is x = -1, the distance to the line is:

d = |-3 - (-1)| = 2 units.

Then the new x-component will also be at 2 units of the line, but in the other direction:

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The coordinates of U after the reflection are:

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If you want to learn more about reflections:

brainly.com/question/4289712

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2 years ago

The lateral area of a cone is 555 \pi cm^2 and the radius is 15.1 what is the slant height?

pishuonlain [190]

We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
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l=(555*pi)/(pi*15.1)----> l=36.75 cm

the answer is
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7 0

3 years ago