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marysya [2.9K]
3 years ago
12

I have a mixture of $1 and $5 bills. There are a total of 73 bills that total $233 dollars. how many ones and fives I have ?

Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

you have 33 ones and 40 fives

Step-by-step explanation:

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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of  water >height of glass.

#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0
3 years ago
How do you create a restriction for √z + 8=13 ?
Zinaida [17]
√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)
6 0
3 years ago
Read 2 more answers
I really need helpppppp<br><br> I’m confused
Natasha2012 [34]
Add 35+ 72.5=107.5 that should give you your answer for c and the answer for d is acute because the triangle would have to be 360 to be Obtused and it's not a right triangle because you don't have a 90 degree angle
4 0
3 years ago
Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
2 years ago
One positive number is three more than twice another. If their product is 629, find the numbers.
sineoko [7]

Answer:

x = 17 and y = 37

Step-by-step explanation:

Let the numbers be x and y.

y = 3 + 2x

xy = 629

substituting y in the second equation we get

x(3+2x) = 629

3x + 2x^{2} = 629

2x^{2} + 3x - 629 = 0

Solving a quadratic equation by using its formula:

x = [-3 ±√(9-4(2)(-629)] / 4

x = [-3 ± √5041] / 4

x = [-3 ± 71] / 4

x = 17 and \frac{-37}{2}

Ignore the negative number in x and just use x = 17 in the first equation we get

y = 3 + 2(17) = 37

5 0
3 years ago
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