1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
2 years ago
12

You have a stack of bills with $1 bills and $5 bills in it. you have 43 total bills equaling $99 how many of each type of Bill d

o you have.
Number of $1 bills.
Number of $5 bills
Solve using substitution or elimination show all work
Mathematics
1 answer:
statuscvo [17]2 years ago
5 0

Answer:

<u>29</u> $1 bills and <u>14</u> $5 bills.

Step-by-step explanation:

Let x be the number of $1 bills and y be the number of $5 bills. With the information given, we can set up two equations:

1) x+y=43

2) 1x+5y=99

There are two ways to solve it; with elimination or substitution. In this explanation, I will solve it with elimination.

To solve it with elimination, multiply the first equation by 5 to get:

5x+5y=215

Then, you can subtract the equation we just got by the second equation to get:

4x=116

Thus, x=29. To find y, just substitute x for 29 in the first equation to get:

29+y=43. Therefore, y=14. That means that there are 29 $1 bills and 14 $5 bills. You can check by substituting those values for x and y in either of the first two equations.

Hope this helps :)

You might be interested in
Please help... I have no clue
muminat

Answer:

OPTION C:  Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that:   $ \textbf{Sin A} =  \frac{\textbf{opp}}{\textbf{hyp}} $

and    $ \textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}} $

Given, Sin B = r and Cos B = s

⇒    $ Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h} $

⇒ $ \textbf{AC} = \textbf{rh} $

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$ Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h} $

⇒  $ \textbf{AB} = \textbf{sh} $

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$ Sin C = \frac{opp}{hyp} $

⇒  $ Sin C = \frac{AB}{BC} $

              $ = \frac{sh}{h} $

               = s

Sin C = s

$  Cos C = \frac{adj}{hyp} $

$ \implies Cos C = \frac{AC}{BC} $

⇒ Cos C = $ \frac{rh}{h} $

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0
3 years ago
1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Nady [450]

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

5 0
3 years ago
Help please!!! I’ll mark u as brainliest
sergeinik [125]

Answer:

Answer is below

Step-by-step explanation:

Yes, the graph would still be a function, but a different function than if the values were all different. This would cause two of the values to be the same and have no slope on the line. Before, the function was quadratic, but now it would be quadratic until the two values are equal.

7 0
4 years ago
Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan
LiRa [457]

Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por x^{2}+y^{2}-49 = 0.

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

(x-h)^{2}+(y-k)^{2} =r^{2} (1)

Donde:

h, k - Coordenadas del centro de la circunferencia, medidas en pulgadas.

r - Radio de la circunferencia, medido en pulgadas.

Si conocemos que h = 0\,in, k = 0\,in y r = 7\,in, entonces la ecuación estándar que representa a la circunferencia de la llanta es:

x^{2}+y^{2} = 49

Ahora, la ecuación general de la circunferencia centrada en el origen satisface la siguiente expresión:

A\cdot x^{2}+A\cdot y^{2}+B = 0 (2)

Donde A, B son los coeficientes de forma de la circunferencia.

Entonces, la forma general de la circunferencia de la llanta está representada por la siguiente expresión:

x^{2}+y^{2}-49 = 0

6 0
3 years ago
Jake rolls a six-sided die, numbered 1 to 6, five times. He rolls a 3 on two attempts.
matrenka [14]
I do believe that the answer to your question is 60%
4 0
3 years ago
Other questions:
  • The image from reflecting a figure in the third quadrant over the x-axis
    15·1 answer
  • Simplify 3(-6+8i)-(2-12i)​
    9·2 answers
  • What is the like term for 4m+(-3n)+n? What is the like term for c+2c+c-5c+1
    10·1 answer
  • Please help I will mark brainliest if correct.
    11·2 answers
  • Omg cholesteral please help me with this one<br> letter choices
    6·1 answer
  • What is the area of the window shown? Use 3.14 for pi.
    5·1 answer
  • What is the slope of the line that passes through the points (6, 4) and (3,8)?
    11·1 answer
  • A mason is a person who builds structures with bricks, stone, cement block, or tile. A mason usually uses
    15·1 answer
  • Y = -5/3x +3 and Y = 1/3x -3
    12·1 answer
  • Solve the following system of equations: {−6x−y=2−7x−4y=−9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!