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4 years ago

Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?

2 answers:

5 0

105 m = 2.5 h

x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42

PilotLPTM [1.2K]4 years ago

5 0

The answer is 42.You get this when you divide 105 by 2 1/2

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The probability that Paul wins a raffle is given by the expression n/n+6. Write down an expression, in the form of a combined si

Elza [17]

Answer:

$P(W') = \frac{6}{n+6}$

Step-by-step explanation:

<em>Let P(W) represents the probability that Paul wins</em>

<em>Let P(W') represents the probability that Paul does not win</em>

Given

$P(W) = \frac{n}{n+6}$

Required

$P(W')$

In probability, the sum of opposite probability equals 1;

This implies that

$P(W) + P(W') = 1$

Substitute $P(W) = \frac{n}{n+6}$ in the above equation

$P(W) + P(W') = 1$ becomes

$\frac{n}{n+6}+ P(W') = 1$

Subtract $\frac{n}{n+6}$ from both sides

$\frac{n}{n+6} - \frac{n}{n+6} + P(W') = 1 - \frac{n}{n+6}$

$P(W') = 1 - \frac{n}{n+6}$

Solve fraction (start by taking the LCM)

$P(W') = \frac{n + 6 - n}{n+6}$

$P(W') = \frac{n - n + 6}{n+6}$

$P(W') = \frac{6}{n+6}$

Hence, the probability that Paul doesn't win is $P(W') = \frac{6}{n+6}$

6 0

3 years ago

Hello i need help with maths.

brilliants [131]

Answer:

6/32/48

Step-by-step explanation:

the problem doest make sense i tried though sorry

5 0

2 years ago

Triangle ABC is rotated 100° counterclockwise about point P to create ΔA′B′C′. What is m∠C′A′B′

gizmo_the_mogwai [7]

Answer:

Angle CAB

Step-by-step explanation:

Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.

A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.

Here fixed point is P and angle is 100 degrees

The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.

In other words, by rotation here ABC will be similar to A'B'C'

Hence angles of ABC will remain equal to angles of A'B'C' in that order.

So m/_ C'A'B'=m /_CAB

8 0

3 years ago

How do you solve 4 times 4/7i

asambeis [7]

Answer:

16/7

Step-by-step explanation:

I will assume that you mean 4/7

4*4

------- = 16/7

1*7

6 0

4 years ago

What number has factors of 2 and 3 and multiples of 12 and 18?

patriot [66]

4 and 6. Hope this helps

4 0

3 years ago