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marta [7]
3 years ago
11

Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store’s profit?

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer: $144.50

Step-by-step explanation:

is/of = %/100

x/85 = 170/100

14,450 = 100x

divide by 100

x = $144.50

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A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
Solnce55 [7]

Answer:

the cat weighs 21 pounds.

the dog weighs 43 pounds

Step-by-step explanation:

dog = 3x-20 = x + 22

cat = x

3x-20 = x+22

3x = x+42 (add 20 to both sides)

2x = 42 (subtract x from both sides)

x = 21

4 0
3 years ago
Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
xxMikexx [17]

Answer:

0.3009 is the  probability that the applicant has graduate degree given he is a male.                                                              

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

n(M) = 206

Number of applicants that are male and have a graduate degree = 62

n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

We have to find the probability that the applicant has graduate degree given he is a male.

P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

5 0
3 years ago
Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease tha
jeyben [28]

Answer:

independent and explanatory

Step-by-step explanation:

In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.

Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.

Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.

5 0
3 years ago
Solve by quadratic formula. x squared plus x plus 1 = 0
Tasya [4]

Remember that the quadratic formula is: \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}.


a stands for the coefficient of the first term, the one associated with the x^2, b stands for the coefficient of the second term, the one associated with x, and c stands for the value of the constant.


In x^2 + x + 1 = 0, our a-value is 1, our b-value is also 1, and our c-value is also 1.


Thus, when we plug in our values into our formula, we get the answer:

\dfrac{-1 \pm \sqrt{1^2 - 4(1)(1)}}{2(1)} = \dfrac{-1 \pm \sqrt{-3}}{2}


Simplifying this answer using i = \sqrt{-1}, we get our final answer of:

\boxed{x = \dfrac{-1 \pm i\sqrt{3}}{2}}

5 0
4 years ago
Solve the problem x - 8/5 equals 2/4
katrin [286]

Answer:

x = 2.1

Step-by-step explanation:

  1. Calculate 8/5 and 2/4 into numbers: 8/5 = 1.6, 2/4 = 0.5
  2. Add 1.6 to 0.5: 1.6 + 0.5 = <u>2.1</u>
3 0
3 years ago
Read 2 more answers
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