a plane ticket cost b dollars for an adult ticket and k dollars for a child. Find an expression that represents the total cost for 9 adults and 3 children.

Answers

Answer 1
Answer: Let C be the total cost. Then the required expression is:

C = 9b + 3k.

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A 10-ounce box of
cereal is $4.50. What
is the cost in dollars
of each ounce?

Answers

Answer:

45 cents for each ounce.

Step-by-step explanation:

Take away the decimal, divide 450 by 10, and you get 45.

10x = 4.5
divided 10 to both sides leaves u with 0.45.
Answer is $0.45!

Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something otherthan 90°? In this situation, what is the relationship between
AB
and CD ? Explain.

Answers

Final answer:

Without more context or details, we cannot determine any definitive relationships between AE and BF or AB and CD when DFB and CEA are not 90°. Generally, these lines or line segments could be skew, meaning they do not intersect and are not parallel.

Explanation:

Without additional context, specifics about the diagram, or an understanding of how AE, BF, AB, and CD are oriented towards each other, we can't determine any definitive relationships between AE and BF, or AB and CD when angles DFB and CEA don't equal 90°. However, in terms of general geometry, if you have two lines or line segments, and you know that the angles forming by intersecting lines are not 90°, then those two lines or segments are not perpendicular. In most cases, without knowing that they are parallel, AE and BF can be stated as skew lines. Similarly, unless specified, AB and CD could also be skew, not having any particular relationship. The term 'skew' is used to describe lines that do not intersect and are not parallel.

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Answer:

if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.

Someone please help??

Answers

9514 1404 393

Answer:

  Isabel

Step-by-step explanation:

Gavin saves 28% (given).

Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.

Isabel saves 3/(3+7)·100% = 30%.

Isabel saves the largest fraction of her salary each month.

A Gentoo penguin can swim at a rate of 17 miles per hour. How many miles can a penguin swim in four hours. Use the expression rt, where r represents rate and t represents time

Answers

Penguin can swim 68 miles in four hours.

What is Rate?

A rate is defined as the ratio which is used to compare two different types of quantities that have different units.

Unit rate defines the ratio of the amount of one quantity with respect to the single unit of the other quantity. Or in other words, the denominator of unit rate will be always 1.

Here we have the unit rate as 17 miles per hour.

Here unit rate is defined in terms of distance covered per time which is actually the speed of penguin.

We have to the distance covered by the penguin in 4 hours.

Rate = Distance / Time

⇒ Distance = Rate × Time

                   = 17 × 4

                   = 68 miles

Hence, penguin can swim 68 miles in 4 hours if the rate of swimming is 17 miles per hour.

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r*t =
17 mile per hr x 4 hours =68

John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Findthe value (maturity value) of his account after 5 years. How much is the interest?

Answers

The maturity value in John's account is $8347.5.

Given that, principal =$6300, rate of interest =6.5% and the time period =5 years.

What is the maturity value?

Maturity value is the amount due and payable to the holder of a financial obligation as of the maturity date of the obligation. The term usually refers to the remaining principal balance on a loan or bond. In the case of a security, maturity value is the same as par value.

Now, S.I. = (P×T×R)/100

= (6300×5×6.5)/100

= 2047.5

So, interest =$2047.5

Maturity value = Principal + Interest

= 6300+2047.5

= $8347.5

Therefore, the maturity value in John's account is $8347.5.

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Answer:  $8,347.50 is the value of his account after five years.

Interest is $409.50 per year.

Total amount of interest paid is $2,047.50.

A triangular prism has a base with a height of 5 cm and a base with a width of 4 cm. The prism has a height of 10 cm. What is the volume of the prism?​

Answers

Answer:

The volume of the triangular prism is 100 cubic centimeters.