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Anna11 [10]
2 years ago
5

A school is planning a field trip for 142 people. The trip will use 6 drivers and two types of vehicles:buses and vans. A bus ca

n seat 51 passengers. A van can seat 10 passengers. Write and solve a system of equations to find how many buses and vans will be needed
Mathematics
2 answers:
Fynjy0 [20]2 years ago
5 0
So 51+51=102 and then 10+10+10+10=40, and 102+40=142. So they will need to take 2 buses and 4 vans. 
                                             hope I helped
elixir [45]2 years ago
3 0

Answer:  The answer is 2 buses and 4 vans.


Step-by-step explanation:  Let 'b' be the number of buses and 'v' be the number of vans that will be needed.

The trip will use 6 drivers, and we need one driver for each vehicle, so number of drivers is equal to the number of vehicles used.i.e.,

b+v=6.

Now, number of passengers in buses is 51b and number of passengers in vans is 10v. Since there are total 142 people, so

51b+10v=142.

Substituting the value of 'v' from forst equation in the second equation, we have

51b+10(6-b)=142\\\\\Rightarrow 51b+60-10b=142\\\\\Rightarrow 41b=82\\\\\Rightarrow b=2.

Again, from the first equation, we get

v=6-2=4.

Thus, there are 2 buses and 4 vans in the trip.


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Jack and Jill fetched 24 pints of water in their bucket. Jill drank a tenth of this, jack a quarter. They gave three eighths to
Minchanka [31]

Answer: See explanation

Step-by-step explanation:

Total water fetched = 24 pints.

Jill drank a tenth of this. This will be:

= 1/10 × 24

= 2.4 pints

Jack drank a quarter. This will be:

= 1/4 × 24 = 6.

They gave three eighths to dame Dob . Thus will be:

= 3/8 × 24

= 9

They gave a fifth to jill's mother. This will be:

= 1/5 × 24.

= 4.80

Amount that'll be left over will be:

= 24 - (2.40 + 6 + 9 + 4.80)

= 24 - 22.2

= 1.8

1.8 pints of water will be left over.

4 0
3 years ago
HELP! i’ll mark you as brainliest
Nadya [2.5K]

Answer:

m<F = 79 degrees

Step-by-step explanation:

As per the given information;

m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).

In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.

Using this we can say that

m<D = m<F

To keep it simple while solving the problem, let's say that they have a value of x degrees.

So,

m<E + m<D + m<F =180

Subsitute

22 + x + x = 180

Simplify and inverse operations

22 + x + x = 180

-22              -22

2x = 158

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So the measure of <D and <F is 79 degrees.

7 0
3 years ago
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If the base number is 2/3 and the power is 5.
solniwko [45]

Answer:

32/243

Step-by-step explanation:

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1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
Karolina [17]

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

<h3>What is the y-intercept of a function?</h3>

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

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The y-intercept is given by:

f(0) = 3(2)^0 = 3

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at brainly.com/question/24737967

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