The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than 24 times the number of $10 bills. How many bills of each kind are there?

Answers

Answer 1

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

[tex]x + 5*y + 10*z = 227[/tex]

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

[tex]y = z + 6\\x = 2 + 24*z[/tex]

Applying these values on the first equation, we have:

[tex]2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5[/tex]

Applying z to the formulas of y and x, we have:

[tex]y = 5 + 6 = 11\\x = 2 + 24*5 = 122[/tex]

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.


Related Questions

When the boat has traveled 7 meters, the height
of the barnacle is approximately:
-1 m
-0.657 m
0.657 m
1 m

Answers

Answer:

-0.544m

Step-by-step explanation:

The height of the barnacle is approximately is, 0.657 meters.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Graph y = sin(x)

Boat travel= 7m

Now,

Let y be the height of the barnacle and x be the distance the boat has traveled

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7)

≈0.657.

Therefore, by algebra the answer will be 0.657 meters.

More about the Algebra link is given below.

brainly.com/question/953809

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What is the solution to this equation?
х
5
= 30
O A. x= 35
B. x= 25
C. x = 150
O D. x = 6

Answers

Answer:

D

Step-by-step explanation:

if u said 5x=30 then its D

Answer:D

Step-by-step explanation:6 x 5 equals 30

evaluate h-2g for h = 4 and g =32

Answers

Answer:

60

Step-by-step explanation:

To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:

[tex]4-(2)(32)\\4-64\\60[/tex]

Answer:

Step-by-step explanation:

h=4

g=32

2*32=64

h-2g= -60

What is the total surface area of this prism?

Answers

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

Can someone please help me please only do if you know how to do geometry thank you thank you thank you

Answers

Answer:

AAA would be the answer

Step-by-step explanation:

The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.

Answer:

AAA

Step-by-step explanation:

Pls answer. i will mark u as branliest

Answers

Answer:

120°

Step-by-step explanation:

you can divide the shape into 4 triangles

each triangle is 180°

180 x 4 = 720

720 divided by the number of angles (6) is 120

Answer:

120

Step-by-step explanation:

360/3=120

4x3 + 10x² - 6x?
Completely factored

Answers

Answer:

2x( 2x-1) (x+3)

Step-by-step explanation:

4x^3 + 10x² - 6x

Factor out 2x

2x( 2x^2 +5x -3)

Factor inside the parentheses

2x( 2x-1) (x+3)

Answer:

2x(2x-1)(x+3)

Step-by-step explanation:

4x³ + 10x² - 6x

4x³ = 2x²×(2x)10x² = 5x×(2x)6x   = 3×(2x)

here 2x is a common factor then we can pull it out:

4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)

                        = 2x(2x² + 5x - 3)

                        = 2x(2x-1)(x+3)

2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2). What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)

Answers

Answer:

(3,4)

Step-by-step explanation:

if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)


Reflection of coordinates

Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).

Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)

Learn more on reflection here: https://brainly.com/question/1908648

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Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?

Answers

Answer:

The residual value when x = 4 is 0.58

Step-by-step explanation:

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]

The residual value is:

[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]

The residual value when x = 4 is 0.58

Functions are written in terms of variables.  The residual value when the value of x is 4 is 0.58

Table and values

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

Learn more on line of best fit here; https://brainly.com/question/1518824

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Find the GCF of these monomials, 20x, 18y

Answers

The greatest common factor is 2.

Answer:

2

Step-by-step explanation:

[tex]20x = 2 \times 2 \times 5 \times x \\ \\ 18y = 2 \times 3 \times 3 \times y \\ \\ common \: factor = 2 \\ \therefore \: GCF \: of \: 20x \: and \: 18y = 2[/tex]

ACORDING OT THE IMAGE, WHATS THE ANSWER????




HURRY 30 POINTS BRAINLIEST!!!

Answers

Answer:

231 cubed centimeters

Step-by-step explanation:

Find the area of the base of the pyramid

18 x 7=126 divided by 2= 63 cm

Next, make sure to the remember the formula is [tex]V=\frac{1}{3} BH[/tex]

1/3(63)(11)=

21(11)=231

231 cubed centimeters is the answer.

Answer:

231 cubed centimeters

Step-by-step explanation:

The formula:  

1/3(63)(11)=

21(11)=231

question is attached

Answers

Answer:

31

Step-by-step explanation:

The two angles are equal so

8x-1 = 5x+11

Subtract 5x from each side

8x-5x-1 = 5x-5x+11

3x -1 =11

Add 1 to each side

3x -1+1 = 11+1

3x = 12

Divide by 3

3x/3 = 12/3

x= 4

We want to find

WZY

WZY = 5x+11

        = 5(4)+11

       =20+11

      =31

WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course. a. Describe how to find the lengths of segments and . Show your answers for this question. Explain how you can be confident your calculations are correct. b. Describe how to find the angle measures of and . Explain how you can be confident your calculations are correct. c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why? d. If we drew a median into trapezoid and the given measurement of that median was 21.425, would that change your answer for part c of this question?

Answers

This is an isosceles trapezoid, because the two angles are supplementary on the right side.

y is 25 based on the Pythagorean theorem

w is sqrt (850)=29.15

z must be 15

Making a right triangle to look at the altitude

cos 59=a/15, so a is 7.73 between the right corner and the edge of x

 

That means x is 29.15-2(7.73)=13.69

=============

The median should be half way between 13.69 and 29.15

That is half their sum, or half of 42.84 or 21.42

That doesn't change the answer above

Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.

please mark brainliest!

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

Step-by-step explanation:

So make the variables.

Hungarian = x

Polish = y

x  and y are the amount of time she spent in minutes.

x + y = 5

150x + 270 = 190y

x = 5 - y

750 - 150y + 270 = 190y

1020 = 340y

y = 3

x = 2

I need help with this question please.​

Answers

Answer:

30 degrees.

Step-by-step explanation:

Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.

The wheel has 12 "handles." We can use these as reference points when rotating the image.

We also know that we can rotate by a total of 360 degrees. We can say that:

360/12 = 30 degrees.

Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.

I hope this helps!

in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. give your answer in the form 1:n

Answers

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

solve it (3+2) ^2 -7 =

Answers

Answer:

18

Step-by-step explanation:

PEMDAS

(3+2)=5

5^2=25

25-7=18

PLEASE HURRY IM TIMED ASAP WILL MARK BRAINLIEST

Which of the following are solutions to x > 5? (Check all that apply.)

8
5.2
5
0
6.7
82

Answers

Answer:

8,5.2,6.7,82 sorry i had to hurry up

Answer:

8

5.2

6.7

82

Step-by-step explanation:

all that are bigger than 5

(would really, reallly appreciate the brainliest)

Need help with this problem! ASAP!

Answers

Answer: B .128 in^3

Step-by-step explanation:

The question is asking for the volume of the figure  so multiply the length times the width times the height.

v= 8.2 * 4 * 3.9

v= 127.92 which rounds  to 128.

Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).

Answers

The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5

The function is given as:

[tex]g(x) = 2^{x - 1} + 3[/tex]

Set x = 0, to calculate the y-intercept

[tex]g(0) = 2^{0-1} + 3[/tex]

Simplify the exponent

[tex]g(0) = 2^{-1} + 3[/tex]

Express 2^-1 as decimal

[tex]g(0) =0.5 + 3[/tex]

Add 0.5 and 3

[tex]g(0) =3.5[/tex]

This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5

Also, the graph of g(x) has a horizontal asymptote at y = 3.5

Read more about exponential graphs at:

https://brainly.com/question/8493280

Answer:

3 graph

Step-by-step explanation:

it’s due at 9am please help whoever helps first gets a brainliest and everyone gets a thank you

Answers

Answer:

Step-by-step explanation:

10) 4x+12

11) 7x+28

12)2x+16

13)9x+54

14)3x+33

15) 5x+35

16) 6x+24

17)8x+72

18) 4x+20

3 s (4 + 6) 2 is an example of

Answers

Answer:

It's an example of an numerical expression

Answer:

It's an example of an numerical expression

If there are answer choices, check if this one is on there!

If not, doggo sucks :(

How to estimate 55 percent of 64?

Answers

Answer: 35.2

Step-by-step explanation: To estimate 55 percent of 64, you could round the 55 to 50 percent, and just find half of 64, which is 32. After this, because you only have 5 percent left over, you can take the number you got from 50% of 64 and move the decimal over one place to make it 3.2. Just add that number to 32 and you’ll get your answer.

If 3 inches represents 20 miles how many inches does 50 miles represent

Answers

Answer:

Step-by-step explanation:

if 3=20

then ?=50

if more less divide

50/20 *3 =7.5

Answer:

7.5 inches

Step-by-step explanation:

We can use ratios to solve

3 inches         x inches

---------------- = --------------

20 miles           50 miles

Using cross products

3 * 50 = x * 20

150 = 20x

Divide by 20

150/20 = x

7.5 inches

ANSWER ASAP Choice 1 Choice 2 Choice 3 Choice 4

Answers

Answer : Use an app like PhotoMath

Answer: a, -1/2x-6=y

Step-by-step explanation:

Someone help me with this plz

Answers

Answer:

A

Step-by-step explanation:

The picture is how you solve it

Answer:

V =904.7786842 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 12 so the radius is  d/2 = 12/2 = 6

V = 4/3 pi 6^3

V = 288 pi

Let pi = 3.14

V =904.32

If we use the pi button

V =904.7786842

how can you tell what radius is

Answers

Answer:

The radius is a line going from the center to the side of the the circle

Answer:

The radius of a circle is the length of the line from the center to any point on its edge. (basically its half a line going through a 180° circle)

Step-by-step explanation:

a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter.

heres an example of what a radius looks like:

hope this helped!

The measure of each interior angle of a regular polygon can be expressed as x-5 and the number of sides by 10x. Determine the following the number of degrees in each exterior angle

Answers

Answer:

  0.1948° in each exterior angle

Step-by-step explanation:

The exterior angle measure is 360° divided by the number of sides. Here, that is 10x, so the exterior angle is ...

  360°/(10x) = 36°/x

The measure of the interior angle is the supplement of the exterior angle, so we have ...

  x -5 = 180 -(36/x)

  x(x -5) = 180x -36 . . multiply by x

  x^2 -185x = -36 . . . . . subtract 180x

  x^2 -185x +8556.25 = -36 +8556.25 . . . . complete the square

  (x -92.5)^2 = 8520.25

  x -92.5 ≈ ±92.3052

  x ≈ 184.8052 or 0.19480

It does not make any sense for the number of sides to be 10·0.1948 = 1.948, so we assume the number of sides is 184.8052·10 = 1848.

Then the number of degrees in each exterior angle is ...

  36°/184.8052 = 0.1948

Solve the following equations.

28÷x+4=11

Answers

Answer:

x=-28/3

28/x=1-4

28/x=-3

28=-3x

-28/3=x

switch them around and that's your answer.

Answer:

x = 4

Step-by-step explanation:

28÷x+4=11

28/x  + 4 = 11

Subtract 4 from each side

28÷x+4-4=11-4

28 / x = 7

Multiply each side by x

28/x * x = 7x

28 = 7x

Divide each side by 7

28/7 = 7x/7

4 =x

An equivalent expression for sin x is?

(please answer with steps)​

Answers

Answer:

b

Step-by-step explanation:

Using the trigonometric identity

sin2x = 2sinxcosx

That is the angle on the right side is half the angle on the left, thus

sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b

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