a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?

Answers

Answer 1

9514 1404 393

Answer:

85 ones70 fives15 tens2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

85 ones70 fives15 tens2 fifties

Related Questions

7,8,10,10,12,15 what is the mean of these numbers?


Marking brainliest

Answers

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

A custodian plans to repaint some classroom bookcases. She has 5 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallons of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

Answers

Answer:

7 bookcases

Step-by-step explanation:

Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:

5.25/0.75

= 7

So, the custodian will be able to repaint 7 bookcases

Seven bookcases I believe

9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.

Answers

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

The value of which of these expressions is closest to e ?

Answers

B I did this to it’s pretty easy

Answer: B.

Step-by-step explanation: took the quiz.

does anyone know the answer for this?

Answers

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?

Answers

To find how many books per student, you will have to divide the total number of books by the total number of students.

14,400/2,400
= 6

Which is a lot of books to check out from a school, but real life math problems has no logic.

4.2+7/20=420/100+BLANK/100

Answers

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

Factor the quadratic:
2x^2-7x+3

Answers

Answer: (2x-1) (x-3)

What combination of transformations is shown below?

Answers

Answer:

B. or the second one

Step-by-step explanation:

Rotation then reflection

Solve. *25 points*

1/2 divided by 2/3 =?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value.

Answers

The functions are given below.

Parabolic function y = -(x + 1)² + 9Mode function y = - |x + 2| + 10Logarithmic function y = 1.5 log(x - 1)What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graphs of the three functions are shown below.

The parabolic function is given as

y = -(x + 1)² + 9

The mode function is given as

y = - |x + 2| + 10

And the logarithm function will be

y = 1.5 log(x - 1)

More about the function link is given below.

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Answer: A, B, D

Step-by-step explanation:

Just took the instruction. Edge 2023

Does a triangle with these side lengths exist?
28, 41, 13

Answers

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes​

Answers

Answer:

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

First coin     Second coin             outcome

H               T                               HT

T               H                               TH

T               T                                TT

What is the area of a circle that has the diameter of 4?

Answers

The answer to this question is A≈12.57

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?

Answers

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

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PLZ ANSWER AND SHOW WORK TY :D

Answers

Answer:

[tex]-\frac{\sqrt{21}}{2}[/tex]

Step-by-step explanation:

ASTC (I use a sentence to memorize: All Students Take Calculus):

Q1 - All functions are positive

Q2 - Sine is positive (Cosecant is positive as well) (all others negative)

Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)

Q4 - Cosine is positive (Secant is positive as well) (all others negative)

Applying ASTC:

Secant is negative, so it can't be in quadrant 1, and quadrant 4.

Quadrant 2 - Sine and Quadrant 3 - Tangent are left.

Cosecant is positive so it can't be in quadrant 3.

Therefore, angle x is in Quadrant 2 or QII

Secant is hypotenuse / adjacent

5 = hypotenuse (hypotenuse is never a negative number)

-2 = adjacent

use pythagorean theorem to solve for opposite (bc tan = opp / adj)

[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]

tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]

Hi I’m a tutor ask me if you need help

Answers

Answer:

are you realy a tutor?

Step-by-step explanation:

Will mark brainiest if u give a real answer not a link

create an exponential function given 2 point
1. (-1,2) and (1,8)

2. (1,1) and (-1,4)

Answers

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%

Answers

Answer:

24%

Step-by-step explanation:

trust me and get blessed

The probability of drawing a card that could win the hand and actually winning the hand is 12%.

Option B is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.

Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).

Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.

However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.

The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.

The probability of drawing a card that could win the hand and actually winning the hand is:

(16/50) x (1/5)

= 0.32 - 0.2

= 0.12 or 12%.

Thus,

The probability of drawing a card that could win the hand and actually winning the hand is 12%.

Learn more about probability here:

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Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?

Answers

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

what percent of the population has an IQ score between 115 and 130?

Answers

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation:

Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((

Answers

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

it would be amazing if you marked this brainliest :)

PLEASE HELP ME PLEASE

Answers

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:


WILL MAKE BRAINLIEST!!

find the slope of each line

Answers

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?​

Answers

Answer:

zach ran 31680 feet over the weekend.

Step-by-step explanation:

1 mile = 5280, so 6 x 5280 = 31680

The width of a rectangle measures (4d – 8) centimeters, and its length measures
(7d – 3) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?

Answers

Answer:

(22d-22) cm

Step-by-step explanation:

perimeter= 2×(4d-8+7d-3)

= 2× (11d-11)

(22d - 22) cm

Answer:

(22d-22)cm

Step-by-step explanation:

Perimeter = 2 x (width + Length)

= 2 x [(4d – 8) + (7d – 3)]

= 2 x (11d-11)

= (22d-22)cm

Write sin 53° in terms of cosine.

Answers

Answer:

cos(37°)

Step-by-step explanation:

sin(53°) = cos(90° - 53°)

sin(53°) = cos(37°)

Solve for n: 8n = 56

n=1/7

n = 7

n = 48

n = 64

n= 448

Answers

Answer:

The answer is number 7

Step-by-step explanation:

56÷8=7

n= 7

N=1/7
You divide by 56

Which statement best describes the association between variable X and variable Y?

Answers

Answer:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

2/10, i believe this is pretty self explanatory
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