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2 years ago

If k represents a number, then write an expression for the ratio of 3 less than k to 2 more than k

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

3 0

Answer:

k - 3 : k + 2

Step-by-step explanation:

3 less than k = k - 3

2 more than k = k + 2

Ratio of 3 less than k to 2 more than k

In ratios, the word 'to' is represented as a colon :

k - 3 : k + 2

Hope this helps :)

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Alex chose a pair of jeans that sells for $19.50, but today all jeans are on sale for 10% off. How much will Alex save. Explain

diamong [38]

Answer: 1.95$.

19.50 x .9 = 17.55

19.50 - 17.55 = 1.95

Therefore the answer is indeed 1.95$.

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3 years ago

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In the data set, what is the variance? 6 8 1 9 4

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3 years ago

James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?

tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

James has in a bag 77 of nickels and dimes
The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

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3 years ago

Jessica knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help her see if

Nitella [24]

Answer:

-4.42

Step-by-step explanation:

Given the following :

Population mean (pm) = 8 hours

Sample mean (sm) = 6.9 hours

Number of observations (n) = 101 students

Sample standard deviation (sd) = 2.5

Using the t-statistic formula :

[(sm - pm) / (sd/√n)]

Hence,

[(6.9 - 8) / (2.5/√101)]

[(-1.1) / (2.5/10.05)]

-1.1 / 0.2487562

= −4.422

The test statistic = - 4.42 to the nearest hundredth.

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3 years ago

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Akimi4 [234]

Answer:

the probability of the dice is 1/6 and the probability of the spinner is 1/4.

Step-by-step explanation:

the probability of the dice=E/S=E=1 and S=6 because it is one dice. so P=1/6.

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3 years ago