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MariettaO [177]
3 years ago
8

Simon goes into a cafe and buys 2 cups of coffee and a piece of cake.

Mathematics
2 answers:
Art [367]3 years ago
6 0

Answer:

1.59 change

Step-by-step explanation:

2.78*2=5.56

5.56+2.85=8.41

10.00-8.41=1.59

Pls Mark As Brainliest

DIA [1.3K]3 years ago
6 0

Answer:

£1.59

Step-by-step explanation:

Cup of Coffee:

=>2 cups of coffee = 2(£2.78)

=> 2 cups of coffee = £5.56

Piece of cake = £2.85

<u><em>Total cost</em></u> = 5.56 + 2.85

=> £8.41

<u><em>Now, the change:</em></u>

=> £10-£8.41

=> £1.59

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Please help with 6 and 7
Ilya [14]

Answer:

6. The number is -5

7. The two numbers are 10 and 11

Step-by-step explanation:

Question six can be re-worded to create the following expression:

-2=\frac{4x+10}{5}

Solve for x to find the number:

-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

  1. x and y are less than 20
  2. x + 1 = y
  3. 3x - 8 = 2y

To get the numbers, we can create a system of linear equations. First, solve for y in each expression:

y = x+1

2y = 3x-8\\y = \frac{3}{2}x - 4

Solve for x:

x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x

Solve for y:

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4 0
1 year ago
Read 2 more answers
Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, t
Leno4ka [110]

Answer:

The two airplanes are about 330miles apart.

Step-by-step explanation:

The diagram interpreting the question has been attached to this response.

As shown in the diagram,

i. the airplanes leave at point C.

ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.

iii. the points A, B and C form a triangle with sides a, b and c.

To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.

c² = a² + b² - 2abcosC            --------------(i)

where;

b  = 312miles

a = 487miles

C = 42°

Substitute these values into equation (i) and solve as follows;

c² = (487)² + (312)² - 2(312)(487)cos(42)

c² = (237169) + (97344) - 303888cos(42)

c² = (237169) + (97344) - 303888(0.7431)

c² = 334513 - 225819.1728

c² = 108693.8272

<em>Take the square root of both sides</em>

√c² = √108693.8272

c = 329.69

c ≅ 330miles

Therefore, the two airplanes are far apart by 330miles

3 0
3 years ago
In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

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