What type of angles found in a polygon

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Explain the steps you would take to complete this conversion problem.

ohaa [14]

I would multiply 46x1x1,000 to get 46,000. the. i would multiply 1x2.2x1 to get 2.2. i would then divide 46,000/2.2 to get 20,909.0909

3 0

3 years ago

Read 2 more answers

a card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or n

DIA [1.3K]

It is not binomial random variable , since the number of red cards is unknown in the deck of cards in the starting of experiment.

As given in the question,

Number of cards are unknown.

Number of red cards are unknown in the starting of experiment.

Number of times process done =10

For binomial random variable number of red cards should be known.

Therefore, it is not binomial random variable , since the number of red cards is unknown in the deck of cards in the starting of experiment.

Learn more about binomial random variable here

brainly.com/question/14282621

#SPJ4

8 0

1 year ago

1. Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

Molodets [167]

Answer:

The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.

Thus, the ladder will not be safe for its height and therefore won't make sense.

7 0

3 years ago

Read 2 more answers

Number of gram in p gram?

olya-2409 [2.1K]

Answer:

1 pound (lb) is equal to 453.59237 grams (g)

7 0

2 years ago