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3 years ago

If frank has 24 pennies 62 nickles 55 dimes 16 quarters and 19 fifty cent pieces how much money does he have

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

Frank has $22.34.

Step-by-step explanation:

24 pennies - 0.01 x 24 = 0.24

62 nickels - 0.05 x 62 = 3.10

55 dimes - 0.10 x 55 = 5.50

16 quarters - 0.25 x 16 = 4.00

19 half dollar (50cent) - 0.50 x 19 = 9.50

0.24 + 3.10 + 5.50 + 4.00 + 9.50 = 22.34

Eddi Din [679]3 years ago

4 0

Answer:

$22.34

Step-by-step explanation:

First we convert all the money to dollars.

1 penny = 0.01 dollar

24 pennies = 0.24 dollar

1 nickle = 0.05 dollar

62 nickles = 3.10 dollars

1 dime = 0.10 dollar

55 dimes = 5.50 dollars

1 quarter = 0.25 dollars

16 quarter = 4.00 dollars

1 fifty cent = 0.50 dollars

19 fifty cent pieces = 9.50 dollars

Total money = $0.24 + $3.10 + $5.50 + $4.00 + $9.50

= $22.34

He have $22.34.

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A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base

timurjin [86]

Answer:

Step-by-step explanation:

Equation for a hyperboloid of one sheet, with center at the origen and axis along z-axis is:

(x/a)² + (y/b)² - (z/c)² = 1 (1)

We have to find a , b, and c

We can express equation (1)

(x/a)² + (y/b)² = (z/c)² + 1 (2)

Now if we cut the hyperboloid with planes parallel to xy plane we get for z = k ( K = 1 , 2 , 3 and so on ) circles of different radius

(x/a)² + (y/b)² = (k/c)² + 1

at z = k = 0 at the base of the hyperboloid d = 300 or r = 150 m

we have

(x/a)² + (y/b)² = 1

x² + y² = a² a² = (150)² a = b = 150

and x² + y² = (150)²

Now the other condition is at 200 m above the base d = 500 m r = 250 m minimum diameter then in equation (2) we have:

(x/a)² + (y/b)² = (z/c)² + 1

(1/a)² [ x² + y² ] = (z/c)² + 1

but x² + y² = r² and in this case r = 250 m then

(250)²/(150)² = (z/c)² + 1 ⇒ (62500/ 22500) = (200/c)² + 1

2,78 = 40000/c² + 1

2.78c² = 40000 + c²

1.78c² = 40000

c² = 40000/1.78

c² = 22471.91

c = 149,91

Then we finally have the equation:

x²/(150)² + y² /(150)² - z²/149,91 = 1

7 0

3 years ago

Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x r

uranmaximum [27]

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

A technique for determining a function's derivative is differentiation.
A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

In mathematics, differentiation is used to determine change rates.

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

$\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55$ dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

brainly.com/question/25081524

#SPJ9

6 0

1 year ago

Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many

Eddi Din [679]

Answer: Trial B is $1\dfrac{3}{4}$ miles longer then Trail A.

Step-by-step explanation:

Length of Trail A = $6\dfrac34$ miles

= $\dfrac{24+3}{4}$ miles = $\dfrac{27}{4}$ miles.

Length of Trail B = $8\dfrac12$ miles

= $\dfrac{16+1}{2}$ miles = $\dfrac{17}{2}$ miles.

Trial B is longer then Trail A by $\dfrac{17}{2}-\dfrac{27}{4}$ miles

$=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}$ miles

$=\dfrac{34}{4}-\dfrac{27}{4}$ miles

$=\dfrac{7}{4}$ miles

$=1\dfrac{3}{4}$ miles

Hence, Trial B is $1\dfrac{3}{4}$ miles longer then Trail A.

4 0

2 years ago

1. In the expression 9x-11.9 is a coefficient

dem82 [27]

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

3 0

2 years ago

PLEASE HELP (LOOK AT THE PICTURE) Write an equation for the given graph.

tino4ka555 [31]

The answer should be C. y=-3x+7

use the formula y=mx+b where mx is the slope and b is the y-intercept.

in this case, the slope is decreasing by 3 so -3 would fit in for mx. if you look on the y-int you’ll see that the value is positive 7.

when you put this together, you’d get the equation y=-3x+7

hope this helps.

3 0

3 years ago