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brilliants [131]
2 years ago
13

David had been pricing bus fares for a group trip to New York. Three adults and four children must pay $159. Two adults and thre

e children must pay $112. Find the price of an adult’s ticket and the price of a children’s ticket.
Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer: adult ticket cost $51.5

Children's ticket cost $1.125

Step-by-step explanation:

Let x represent the cost of one adult ticket.

Let y represent the cost of one children's ticket.

Three adults and four children must pay $159. This means that

3x + 4y = 159 - - - - - - -1

Two adults and three children must pay $112. This means that

2x + 3y = 112 - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 8y = 318 - - - - - - - -3

6x + 24y = 336 - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

-16y = -18

y = -18/-16 = 1.125

Substituting y = 1.125 into equation 1, it becomes

3x + 4×1.125 = 159

3x + 4.5 = 159

3x = 159 - 4.5 = 154.5

x = 154.5/3 = 51.5

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A number, x, rounded to 1 decimal place is 3.7<br>Write down the error interval for x.​
alekssr [168]

Answer:

3.65 \leqslant x \leqslant 3.75

Step-by-step explanation:

The error in rounding a number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

3.65 \leqslant x \leqslant 3.75

4 0
3 years ago
What is the value of x
pochemuha

This is the isosceles triangle. Therefore, the angles at the base are congruent.

We know that the sum of the measures of the angles in a triangle is 180°.

Therefore we have the equation:

38^o+x^o+x^o=180^o

38^o+2x^o=180^o        <em>subtract 38 from both sides</em>

2x^o=142^o       <em>divide both sides by 2</em>

x^2=71^o

<h3>Answer: x = 71.</h3>
5 0
2 years ago
Simplify the following expression:
Phantasy [73]
\frac{4}{ \frac{1}{4} - \frac{5}{2} }

To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator.  To make them compatible, we can convert \frac{5}{2} into \frac{10}{4}:

\frac{4}{ \frac{1}{4} - \frac{5}{2}( \frac{2}{2}) } = \frac{4}{ \frac{1}{4} - \frac{10}{4} }

Next, we can simplify:

\frac{4}{ \frac{1}{4} - \frac{10}{4} } = \frac{4}{ -\frac{9}{4}}

Finally, to cancel the denominator within the denominator, we can multiply the whole expression by \frac{4}{4}, or 1:

\frac{4}{ -\frac{9}{4}}* \frac{4}{4} =  -\frac{16}{9}

The expression simplifies to -\frac{16}{9}, or -1 \frac{7}{9} as a mixed number.
6 0
3 years ago
Read 2 more answers
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing
kotegsom [21]

Answer:

D is correct

Step-by-step explanation:

Here, we want to select which of the options is correct.

The correct option is the option D

Since the die is unfair, we expect that the probability of each of the numbers turning up

will not be equal.

However, we should also expect that if we add the chances of all the numbers occurring together, then the total probability should be equal to 1. But this does not work in this case;

In this case, adding all the probabilities together, we have;

1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/2

= 5(1/12) + 1/2 = 5/12 + 1/2 = 11/12

11/12 is not equal to 1 and thus the probability distribution cannot be correct

4 0
3 years ago
The area of the square is 100 square centimeters. What is the area of the circle?
Setler79 [48]

length \: of \: 1 \: side = diameter

area \:  =  {l}^{2}  \\ 100 =  {l}^{2}  \\  \sqrt{100}  = l \\ l = 10

diameter = 2 \times radius \\ 10 = 2 \times radius \\ radius = 5

circle \: area = pi \times  {r}^{2}  \\ circle \: area = 3.142 \times  {5}^{2}  \\ circle \: area = 3.142 \times 25 \\ circle \: area = 78.55 {cm}^{2}

6 0
2 years ago
Read 2 more answers
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