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Elan Coil [88]
3 years ago
9

A cashier has a total of 30 bills, consisting entirely of $1 bills, $5 bills, and $20 bills. The total dollar amount of these bi

lls is $351. There are nine more $20 bills that $1 bills. How many of each bill denomination are there?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

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A new car is purchased for $47, 000 and over time its value depreciates by one half
andrey2020 [161]

Answer:

$1500

Step-by-step explanation:

you can figure it out by going in increments of 4.5 years because that is the info you have from the problem so

47000 4.5 years later is 23500

9 years = 11750

13.5y = 5875

18y = 2937.5

22.5 years later is 1468.75

22.5 years is about 23 years and to the nearest hundred dollars that is $1500 so that is the answer

Hope this helps! :)

5 0
2 years ago
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In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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Wha is the area of a rectangle with vertices at (4, 3), (11, 3), (11,9), and (4, 9)?
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Answer:

42 units^2.

Step-by-step explanation:

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Length  of the horizontal line = 11 - 4 = 7 units ( from the first 2 points) and  the length of an adjacent side is 9 - 3 = 6 units (from the second and third points).

Area = 7 * 6 = 42.

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