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Grace [21]
2 years ago
11

Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B

: Write an expression to represent the amount Susan earns dog walking and babysitting
Mathematics
1 answer:
Anna35 [415]2 years ago
7 0

Answer:

the total she earns with "d" hours of dog walking and "b" hours of babysitting is given by:  8 d + 12 b

Step-by-step explanation:

If we use "d" to represent the number of hours that Susan walks the dog, and we define "b" as the number of hours she babysits, then the expression that represents the amount she earns by walking the dog is: $8 times d = 8 d

Similarly, the amount she earns by babysitting is $12 times b = 12 b

Then the total she earns with "d" hours of dog walking and "b" hours of babysitting is:  8 d + 12 b

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the trinomial x2 bx c factors to (x m)(x n). if b is negative and c is positive, what must be true about m and n?
galina1969 [7]

For c to be positive, and for b to be negative, m must be negative and n must be negative.


X^2 - bx + c = (x - m)(x - n).

c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive


7 0
2 years ago
Read 2 more answers
In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3. Triangle D E F is shown. Line G H is drawn parallel to side D E within the
Komok [63]

Answer:

<DFE is congruent to <GFH

Step-by-step explanation:

you need an angle to prove SAS and <DFE is congruent to <GFH

5 0
2 years ago
Fill in the blanks. a. A​ relative-frequency distribution is to a variable as a​ __________ distribution is to a random variable
RideAnS [48]

Answer:

a. A​ relative-frequency distribution is to a variable as a​ ___probability_______ distribution is to a random variable. b. A​ relative-frequency histogram is to a variable as a​ _____probability_____ histogram is to a random variable.

Step-by-step explanation:

Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,

where 0 represent impossibility and 1 represents the chance of it occurring.

4 0
2 years ago
The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa
astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

3 0
2 years ago
In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had
mr_godi [17]

Answer:

When Mary raises the probability that she has a better hand is 0.273

Step-by-step explanation:

In the poker game it is given that the probability that Mary has a better hand than John is 0.04.

Let the event that Mary has a better hand than John be A.

Let the event that that Mary raises the stakes be B.

It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9

Therefore p(B | A) = 0.9

If Mary has a poorer hand she will raise with a probability of 0.1

Therefore p(B | A') = 0.1

Given that Mary raises the probability that she has a better hand is given by

p(A | B)

 = \frac{p(A\cap B)}{p(B)} = \frac{p(A)p(B | A)}{p(A)p(B | A) + p(A')p(B | A')}  = \frac{(0.04 \times 0.9) }{(0.04 \times 0.9) + (0.96 \times 0.1)}  = \frac{36}{36 + 96}  = \frac{36}{132}  = \frac{3}{11}

= 0.273

So when Mary raises the probability that she has a better hand is 0.273

3 0
2 years ago
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