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
Rasek [7]
2 years ago
15

Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100

bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.
$
Mathematics
1 answer:
iVinArrow [24]2 years ago
8 0

Step-by-step explanation:

x = number of $50 bills

y = number of $100 bills

x + y = 20

50x + 100y + 500 = 100x + 50y

50y + 500 = 50x

y + 10 = x

now we use that in the first equation :

y + 10 + y = 20

2y = 10

y = 5

x = y + 10 = 5 + 10 = 15

so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet

You might be interested in
Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.
alina1380 [7]

Answer:

v_1=(\frac{1}{10},-\frac{3}{10})

v_2=(-\frac{1}{10},\frac{3}{10})

Step-by-step explanation:

First we define two generic vectors in our \mathbb{R}^2 space:

  1. v_1 = (x_1,y_1)
  2. v_2 = (x_2,y_2)

By definition we know that Euclidean norm on an 2-dimensional Euclidean space \mathbb{R}^2 is:

\left \| v \right \|= \sqrt{x^2+y^2}

Also we know that the inner product in \mathbb{R}^2 space is defined as:

v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

\left \| v_1 \right \|= \sqrt{x^2+y^2}=1

and

\left \| v_2 \right \|= \sqrt{x^2+y^2}=1

As second condition we have that:

v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0

v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0

Which is the same:

y_1=-3x_1\\y_2=-3x_2

Replacing the second condition on the first condition we have:

\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}

Since x_1^2= \frac{1}{10} we have two posible solutions, x_1=\frac{1}{10} or x_1=-\frac{1}{10}. If we choose x_1=\frac{1}{10}, we can choose next the other solution for x_2.

Remembering,

y_1=-3x_1\\y_2=-3x_2

The two vectors we are looking for are:

v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})

5 0
3 years ago
Sam guys different types of fruit in 3/4 pound baskets. Maria has 1 1/4 pounds fruit
Novosadov [1.4K]
What’s the question?
8 0
3 years ago
HELP Ill give brainlist
DENIUS [597]

Answer:

I think the answer is a

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bp%5E2%7D" id="TexFormula1" title="\sqrt{p^2}" alt="\sqrt{p^2}" align="absmiddle" cla
Ede4ka [16]

Answer:

Step-by-step explanation:

√p^2=  

I got either p or absolute p

5 0
3 years ago
Read 2 more answers
The width of a rectangle is 2x²+9x-7 and the length is x²-9. Find the perimeter of the rectangle.​
OLEGan [10]

Answer:

---

Step-by-step explanation:

W=2x²+9x-7

L=x²-9

2(3x²+9x-16)

6x²+18x-32

The bold is the perimeter.

---

hope it helps

6 0
3 years ago
Other questions:
  • Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
    8·2 answers
  • PLEASE HELP ASAP!!
    12·1 answer
  • Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time
    12·1 answer
  • A laptop computer sells for $850. the sales tax is 7%. what is the total cost of the laptop?
    6·1 answer
  • Urgent!! Please help! What would the equation for this word problem be?
    5·2 answers
  • 5 to the power of 2x = 42
    11·1 answer
  • If figure 1 needs 3 toothpicks, figure 2 needs 6 toothpicks and figure 3 needs 9 toothpicks then how many toothpicks will be nee
    8·1 answer
  • What would be the amount of his last monthly bill in order. The bill amount to be 110 for all 12 months
    15·1 answer
  • Help please it’s urgent?
    15·2 answers
  • What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!