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2 years ago

3 T-shirts and 2 hats cost £14 2 T-shirts and 7 hats cost £15

Mathematics

2 answers:

Tcecarenko [31]2 years ago

8 0

Answer:

what is the meaning of the figure

juin [17]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Assuming you require the cost of a t- shirt and a hat

let t be t- shirt and h be hat , then

3t + 2h = 14 → (1)

2t + 7h = 15 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding eill eliminate t

6t + 4h = 28 → (3)

- 6t - 21h = - 45 → (4)

Add (3) and (4) term by term to eliminate t

0 - 17h = - 17

- 17h = - 17 ( divide both sides by - 17 )

h = 1

Substitute h = 1 into either of the 2 equations and solve tor t

Substituting into (1)

3t + 2(1) = 14

3t + 2 = 14 ( subtract 2 from both sides )

3t = 12 ( divide both sides by 3 )

t = 4

The cost of a t- shirt is £4 and a hat is £1

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pochemuha

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Step-by-step explanation:

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3 years ago

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is stu

Mashcka [7]

The account that recorded a greater percentage change in amount of money over the previous year is year 4

<h3>Part A: Is the amount of money in account A increasing or decreasing?</h3>

The exponential function is given as:

f(x) = 9628 * (0.92)^x

An exponential function is represented as:

f(x) = ab^x

If b is less than 0, then the function is an increasing function.

So, the function f(x) = 9628 * (0.92)^x is a decreasing function.

The percentage of decrement is then calculated as:

r =1 - b

This gives

r = 1 - 0.92

Evaluate

r = 0.08

Express as percentage

r = 8%

Hence, the percentage of decrement is 8%

<h3>Part B: The account that recorded a greater percentage change in amount of money over the previous year</h3>

r 1 2 3 4

g(r) 8,972 8,074.80 7,267.32 6,540.59

As a general rule:

As the number of years increases, the percentage change increases

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2 years ago

M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point<em> </em>D = (-2, 5).

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3 years ago

A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, c

mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

$P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75$

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

$P(A \cap B) = 0.6*\frac{1}{6} = 0.1$

Find the probability that bridge B was used.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333$

0.1333 = 13.33% probability that bridge B was used.

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3 years ago

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GuDViN [60]

Answer:

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3 years ago