Jesse collected 42 football cards and 28 basketball cards simpfly the ratio of baseball cards to football cards in his collection

Answers

Answer 1
Answer:

The ratio of basketball card to football cards is 2 : 3.

What is the ratio?

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Number of football cards = 42

Number of basketball cards = 28

Hence,

Ratio of basketball cards to football cards = Number of basketball cards/Number of football cards

Ratio of basketball cards to football cards = 28/42

Ratio of basketball cards to football cards = 2/3

Ratio of basketball cards to football cards = 2:3

Therefore,The ratio of basketball card to football cards is 2 : 3.

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Answer 2
Answer: Baseball cards : Football cards = 28 : 42

28 : 42

7 into 28 is 4 and 7 into 42 is 6

 28 : 42 = 4 : 6        

2 into 4 is 2 and 2 into 6 is 3

 28 : 42 = 4 : 6 = 2 : 3

So the simplified ratio of baseball cards to football cards is 2 : 3.

I  hope this helps.   

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Solve the following system of equations?x + 3y - z = 2x - 2y + 3z = 7x + 2y - 5z = -21 a)(2, 3, 5)b)(-2, 3, 5)c)(2, -3, 5)d)(2, -3, 5)

One year consumers spent an average of $23 on a meal at a restaurant. Assume that the amount spent on a restaurant meal is normally distributed and that the standard deviation is $6. Complete parts​ (a) through​ (c) below.a. What is the probability that a randomly selected person spent more than $28?=0.2033
b. What is the probability that a randomly selected person spent between $9 and $21?=0.3608

Answers

The probabilities regarding a person spending are given as follows:

a) More than 28: 0.2033 = 20.33%.

b) Between 9 and 21: 0.3608 = 36.08%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by \mu and standard deviation symbolized by \sigma is obtained by the rule presented as follows:

Z = (X - \mu)/(\sigma)

  • The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.
  • Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.

The mean and the standard deviation for this problem are given as follows:

\mu = 23, \sigma = 6

The probability of a person spending more than 28 is one subtracted by the p-value of Z when X = 28, hence:

Z = (28 - 23)/6

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

1 - 0.7967 = 0.2033 = 20.33%.

The probability of spending between 9 and 21 is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 9, hence:

Z = (21 - 23)/6

Z = -0.33

Z = -0.33 has a p-value of 0.3707.

Z = (9 - 23)/6

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

Hence:

0.3707 - 0.0099 = 0.3608 = 36.08%.

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100kg cannonball on earth

Answers

If you're looking for the weight, that'd be mass * gravity = weight, or
100 kg * 9.8  m   = 980 Newtons
                     s^2

Multiplying polynomials
find the product
(5n+6)(5n-5)

Answers

(5n+6)(5n-5) =5n\cdot 5n -5n\cdot 5+6\cdot 5n-6\cdot 5=\n \n=25n^2-25n+30n-30 =25n^2+5n-30


The solution of expression after multiplying is,

⇒ 25n² + 5n - 30

We have to given that,

To multiplying polynomials is,

⇒ (5n + 6) (5n - 5)

Now, We can multiply as,

⇒ (5n + 6) (5n - 5)

⇒ 5n × 5n + 5n × - 5 + 6 × 5n + 6 × - 5

⇒ 25n² - 25n + 30n - 30

⇒ 25n² + 5n - 30

Therefore, The solution is,

⇒ 25n² + 5n - 30

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The price of a coat increased by 20% in December, and then decreased by 20% three months later. If the finalprice of the coat was $144, what was the original price of the coat before December ?

Answers

Answer:

The answer is 150

Step-by-step explanation:

If you take 20 percent of 144 you get 28.8 but then you must subtract from 144 that leave you with 150.2 the 0.2 dosent matter

Find the slope of the line passing through the points (5, 4) and (5, -5)

Answers

Answer:

NO Slope

Step-by-step explanation:

slope of the line passing through the points (5, 4) and (5, -5)

slope = y2 - y1   =    -5 - 4   = -9

            x2 - x1           5 - 5          0

see attached.

in this graph of a line x = 5, no matter what the value of y is.

the horizontal change is 0 and the vertical change is any y value

therefore, there is NO Slope

What is the length of a segment with end points at (-3,4) and (4,4)? a. 1 b. 4 c. 7 d. 8

Answers

The length of a segment with end points (-3,4) and (4,4) is c. 7