Marina is currently 14 years older than her cousin joey. in 5 years she will be 3 times as old as joey. if you let x represent joey's current age, what expression can you use to represent marina's current age?

Answers

Answer 1
Answer: The expression is 14x

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If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

Answers

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

  • opposite cathetus = 40ft
  • hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

brainly.com/question/20142200

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

Round to the given place: 256,035 (thousands)

Answers

So,

When rounding to the nearest thousand, look at the number in the hundreds place.  If it is greater than or equal to 5, round up.  If not, round down.

256,035

The hundreds place is less than 5, so we round down.

256,035 --> 256,000
256,000. The 6 is in the thousandths place, and since the 0 in the hundredths place is less than 5, you do not round up, keeping the 256,000 as opposed to 257,000.

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive A. $207.27.
B. $2,072.73.
C. $2,027.27.
D. $2,073.72.

Answers

The amount each heir will receive after the inheritance is divided is given by A = $ 2072.73

Given data ,

Let the total amount of inheritance be represented as I

where the value of I = $ 45,600.00

Now , the total number of heirs = 22 heirs

So , the amount of inheritance each heir will receive is A

where A = total amount of inheritance / total number of heirs

On simplifying the equation , we get

A = $ 45,600.00 / 2

A = $ 2072.73

Hence , the inheritance shared is A = $ 2072.73

To learn more about equations click :

brainly.com/question/19297665

#SPJ6

45600 ÷ 22 = 2072.73

answer B

Archie owns a farm with 60 chickens andhas enough food to feed them for
40 days.
After 5 days, Archie sold some chickens.
The remaining food will last for another
50 days.
How many chickens were sold?

Answers

Answer:55

Step-by-step explanation:

So we are going to take 60-5= will give u 55 chickens were left

(38x+61y)-(3x-11y) simplify this expression

Answers

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▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

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Brainliest is greatly appreciated!

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Write the explicit rule.

-21, -51, -81, -111, -141

Answers

Answer:

aₙ = - 30n + 9

Step-by-step explanation:

You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.

aₙ = a₁ + (n - 1)d

= - 21 + (n - 1) * - 30

= - 21 - 30n + 30

= - 30n + 9

Your solution would be option d. aₙ = - 30n + 9