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topjm [15]
3 years ago
5

Evaluate the expression when q=5 and b=9. a+4b

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Step-by-step explanation:

a = 5

b= 9

a + 4b = ?

5 + 4×9 =

5 + 36 = 41

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
sattari [20]

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

7 0
3 years ago
Read 2 more answers
Let p: A shape is a triangle. Let q: A shape has four sides. Which is true if the shape is a rectangle? p ∨ q p ∧ q p → q q → p
Paul [167]

Answer:

Step-by-step explanation:

Let q : The four sides because a rectangle has four sides.

3 0
3 years ago
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Brenda finish 1/3 of a friendship bracelet 1/2 of an hour at this rate how many bracelets can she finish in 1 hour
Tresset [83]

First, 1/2 of an hour is 30 minutes. Well, how many 30 minutes are in an hour? 2, because 2*30 = 60.

So Brenda finish 1/3 of the bracelet in 30 minutes. We would just do...

(1/3)*2 = 2/3

Brenda can finish 2/3 of a bracelet in 1 hour.

7 0
3 years ago
If the measure of angle 2 is 3x, and the measure of 1 is 5x - 12 what is the measure of angle 9 ?
Mariana [72]
3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24

angle 1 = 5x-12
=5(24)-12
=120-12
=108

angle 2= 3x =3*24=72

angle 1 = angle 9
angle 9= 108
8 0
3 years ago
What is the period of `y = 1+ tan((1)/(2)x)`?
jonny [76]
2π is the period of `y = 1+ tan((1)/(2)x)`
7 0
3 years ago
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