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3 years ago

How many quarters and dimes of 80 coins make up 14.45

1 answer:

7 0

q + d = 80
.25q + .10d = 14.45

q. + d= 80
25q + 10d = 1445

-10q. - 10d = -800
25q + 10d = 1445

15q. = 645

q = 43 quarters

43 + d = 80

d= 37 dimes

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What is the volume of this solid? A. 1104 B. 132 C. 96 D. 276

statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}$ : It is the area of the base

h: It's the height

Substituting: $V = 6 * 6 * 6\\V = 216 \ units ^ 3$

The volume of the pyramid is given by:

$V = \frac {1} {3} * L ^ 2 * h$

Where:

$L ^ 2:$ It is the area of the base

h: It's the height

Substituting:

$V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3$

We add and we have:

$V = 276 \ units ^ 3$

ANswer:

Option D

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3 years ago

There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is selected, it is not

stepladder [879]

Answer: 1% red and 3% orange

explanation:

Not sure if its right but did my best!!

7 0

3 years ago

Read 2 more answers

A. Find a power function that models the data below.

zalisa [80]

Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

Using Technology :

The power function in the form $y = Ax^{B}$ which models the data is $1.926x^{1.662}$

The linear function in the form $y = Bx + A$ which models the data is $y = 7.429x - 8.333$

Where A = intercept and B = slope

From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

Hence, the power model is a better fit for the data than the linear model.

Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.

Learn more :brainly.com/question/18405415

6 0

3 years ago

a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel

adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

= 24000 - 750x + 2400x - 75x²

= 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

= $ 150 + 165

= $ 315

So,

The price per wind chime that will maximize revenue = $ 315

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3 years ago

The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down

sergij07 [2.7K]

Answer:

B, 110

Step-by-step explanation:

Work Backwards!

1.- 260 - 110 = 150 children

2.- 150 X $2.50 (rate of children) = $375

3.- $815 - $375 = $440

4.- $440/$4 (rate of adults) = 110 Adults

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3 years ago