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irina1246 [14]
3 years ago
7

A family of 2 adults and 3 children went on holiday to Miami.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

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Two fair dice are rolled.
Natalka [10]

Answer:

1/12

Step-by-step explanation:

There are two dices being rolled. A dice has six faces numbered from one to six. A fair dice means that the probability of each number to appear is equal. Thus the probability of any number showing up is:

P(a number appears on the dice) = how much times the number has been displayed on the dice/number of faces of the dice.

Since all numbers appear once, and there are six sides of a dice. therefore:

P(a number appears on the dice) = 1/6. Thus, P(6 appears on a dice) = 1/6.

As far as the odd numbers are concerned, there are three even numbers and three odd numbers on the dice. So P(odd number appears on the dice) = 3/6 = 1/2.

Assuming that the probabilities of both the dices are independent, we can safely multiply both the probabilities. Thus:

P(first dice lands on a 6 and second dice lands on an odd number) = 1/6 * 1/2 = 1/12.

Thus, the final probability is 1/12!!!

3 0
3 years ago
You have a 6 sided number cube, numbered 1 to 6. Predict how many times out of 240 rolls of the cube, you might expect to land o
tangare [24]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve the system by substitution. Check your solution.
postnew [5]

Answer:

(9,126)

Step-by-step explanation:

Make sure x and y are on the same side

0.5x+0.25y=36\\16x-1y=18

Eliminate y by multiplying the first equation by 4 then adding both equations together

2x+1y=144\\16x-1y=18\\18x=162\\x=9

Plug the x value (9) into one of the equations

16(9)-1y=18

Solve

16(9)-1y=18\\144-1y=18\\144=18+1y\\126=y

x=9, y=126

(9,126)

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3 years ago
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Lina20 [59]

Answer:

Step-by-step explanation:

3 0
3 years ago
. A bridge over a river is built in the shape of a parabolic arch. The bridge has a span of 100 feet. The height of the arch is
katen-ka-za [31]

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

y=a(x-p)(x-q)

Where <em>p</em> and <em>q</em> are the <em>x-</em>intercepts.

Our <em>x-</em>intercepts are <em>x </em>= 0 and <em>x </em>= 100. Hence:

y=ax(x-100)

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is <em>x</em> = 50. So, a point 40 feet from the center can be either <em>x</em> = 10 or <em>x</em> = 90.

So, for instance, when <em>x</em> = 10, <em>y</em> = 10. Substitute and solve for <em>a: </em>

<em />10=10a(10-100)<em />

So:

\displaystyle a=-\frac{1}{90}

The same value will result if we let <em>x</em> = 90 and <em>y</em> = 10.

Hence, our equation is:

\displaystyle y=-\frac{1}{90}x(x-100)

The height of the arch at its center will be when <em>x</em> = 50. Hence:

y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}

4 0
3 years ago
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