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
DiKsa [7]
3 years ago
13

Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in

the deposit?
A) 6 five-dollar bills
B) 28 five-dollar bills
C) 32 five-dollar bills
D) 34 five-dollar bills
Mathematics
1 answer:
Luda [366]3 years ago
7 0

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

You might be interested in
4p - 3 = -9 + 7p
soldi70 [24.7K]

Answer:

p=2

Step-by-step explanation:

p=2

5 0
3 years ago
Read 2 more answers
a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
3 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
ValentinkaMS [17]

Answer:

<h2>1529.4 m³</h2>

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

v =  \frac{1}{3}  \times a \times h \\

a is the area of the base

h is the height

Since the base is a square we have

v =  \frac{1}{3}  \times  {15.3}^{2}  \times 19.6 \\  = 78.03 \times 19.6 \\  = 1529.388

We have the final answer as

<h3>1529.4 m³</h3>

Hope this helps you

3 0
3 years ago
Rounded to the nearest thousand of 275,608
olga nikolaevna [1]
The thousandths place in 275,608 is the 5. Depending on the next number (which in this case is the 6) it will either round up or down. Since the next number is 6 and it's 5 or bigger, the 5 will round up. So your final answer is 276,000.
4 0
3 years ago
I'll give brainlest &lt;3
AleksandrR [38]
45 maybe bc it’s small
3 0
2 years ago
Read 2 more answers
Other questions:
  • Si S es el 150% de T, qué tanto por ciento de T es (S + T)?
    14·1 answer
  • Translate into a equation. one subtracted from two times a number is -45.​
    14·1 answer
  • PLEASE PLEASE PLEASE HELP ME! BRAINLEST!
    14·2 answers
  • How many significant figures will there be in the answer to the following problem? You do not have to solve the problem. 3.4 * 1
    11·1 answer
  • Which of these is the algebraic expression for the verbal expression "five times the difference of a number and six
    6·1 answer
  • Marshall selling raffle tickets to raise money he wants to raise a thousand he already has 200 in donations and each ticket will
    8·1 answer
  • 14 NEED HELP ASAP WILL GIVE BRAINLY
    12·2 answers
  • ANSWER THIS IS FOR EXTRA CREDIT
    10·2 answers
  • Good luck with answering the question. :)
    7·2 answers
  • When a number is divided by -3, the result is 12 more than the number. What is the number?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!