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3 years ago

There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 people

Mathematics

1 answer:

3241004551 [841]3 years ago

5 0

No question was asked buy i'll try to answer anyway.

either im assuming its asking how many vans or how many missing seats.

26+32 58 students total,

You would need 6 vans to carry them, and 2 seats would be missing.

If this isnt what you were looking for please comment a question and i'll try to help

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5x + 7y = 17 x + 4y = 19

REY [17]

<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

From equation 2

x + 4y = 19

x = 19 - 4y

Putting the value of x in Equation (1)

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = $\frac{78}{13}$

y = 6

Now, putting the value of y in equation (2)

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

Therefore, the value of y is 6 and value of x is -5

5 0

3 years ago

A vessel sails 41 miles S 35° E. How far south has it sailed?

const2013 [10]

Option A: The vessel has sailed 34 miles South

Explanation:

Given that the vessel sails 41 miles S 35° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

$cos \ \theta=\frac{adj}{hyp}$

Substituting $\theta=35^{\circ}$ , $adj=x$ and $hyp=41$

Hence, we get,

$cos \ 35=\frac{x}{41}$

Simplifying, we have,

$0.82=\frac{x}{41}$

Multiplying both sides by 41, we have,

$33.62=x$

Rounding off to the nearest integer, we have,

$34=x$

Thus, the vessel has sailed 34 miles South.

Therefore, Option B is the correct answer.

6 0

3 years ago

A pattern has 77 yellow triangles to every 33 green triangles. What is the ratios of green triangles to yellow triangles?

Anton [14]

For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.

6 0

1 year ago

Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common

Sati [7]

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

$\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]$

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =

4.4722

7 0

2 years ago

Please help me, the attachment is below. (If you don't know the answer to the question please don't answer)

Phantasy [73]

Answer:

Step-by-step explanation:

The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.

7 0

3 years ago