Lucy bought 4 pairs of pants for $21.79 each. She paid the cashier using as few $20 bills as necessary. How much change did she receive?

Answers

Answer 1

The amount of change Lucy receives if she paid with few $20 bills is $12.84

How to find amount of change to receive

Cost of each pair of pants = $21.79Number of pairs of pants = 4

Total cost of pants = $21.79 × 4

= $87.16

Amount paid to the cashier = few $20 bills

If the total cost of the pants exceeds $80, then she paid with 5 $20 bills

5 $20 bills = $100

Her change = $100 - $87.16

= $12.84

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Related Questions

Determine the scale factor for each reduction.

a) Quadrilateral B is a reduction of quadrilateral A.

b) Quadrilateral C is a reduction of quadrilateral A.

c) Quadrilateral B is a reduction of quadrilateral C.

Answers

Answer:

c

Step-by-step explanation:

It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?

Answers

Chicago is warmer Because farhrenheit is warmer than celsuis

Answer:

Miami

Step-by-step explanation:

First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.

I will convert Miami's temp, to farenheit:

[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]

Miami: 95°F

Chicago: 75°F

Therefore, Miami is the warmer town.

Hope this helps!

Make a number line and mark all the points that represent the following values of x. X≤2 or x<5

Answers

The inequalities x≤2 or x<5 are unequal expressions

The common points of both inequalities are {.......0,1,2}

What are inequalities?

Inequalities are expressions that have unequal values

What are number lines?

Number lines are lines that are used to represent numbers and expressions at regular intervals

How to determine the number line?

The inequalities are given as;

x≤2 or x<5

This means that:

x is less than or equal to 2

And

x is less than 5

So, we have:

x≤2 = {.......0,1,2}

x<5 = {.......0,1,2,3,4}

The common points of both inequalities are:

x≤2 or x<5 = {.......0,1,2}

See attachment for the number line

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Can someone please HELP ME I HAVE A TEST TMRW I STUDIED BUT I FORGOT HOW TO DO THIS STUFF CAN SOMEONE EXPLAIN IT TO ME

Answers

Answer:

1. (a. 8 b. 3 d. 6,6,12 e. 3,3,9) 2. (a. 2,3 b. 4,5 c. 6,6,2,3 d. 5,3,5) 3. (a.2/3 b.1/3 c.2/3 f.1/2 g.7/8 h.4/5)

Step-by-step explanation:

OK this is quite simple. Just multiply the top and bottom, otherwise known as the numerators and denominators, by whatever is next to it. In this case, 1a is [tex]\frac{2*4}{5*4}[/tex].

That would result in [tex]\frac{8}{20}[/tex]

Hey there!

In order to multiply fractions, we should multiply the numerator of the 1st fraction by the numerator of the 2nd fraction.

Same with denominators.

Let's multiply these fractions.

2/5=2*4/5*4=8/20

2/3=2*6/3*6=12/18

1/4=1*3/4*3=3/12

3/4=3*3/4*3=9/12

now divide:

10/15=10:5/15:5=2/3

12/18=12:6/18:6=2/3

12/15=12:3/15:3=4/5

15/25=15:5/25:5=3/5

Now, simplify the following fractions:

4/6

divide the top & bottom by 2:

2/3

next:

5/10

divide the top & bottom by 5:

1/2

next

5/15

divide the top & bottom by 5:

1/3

next:

12/18

divide the top & bottom. by 6

2/3

next

5/10

divide the top & bottom by 5

1/2

next

14/16

divide the top & bottom by 2

7/8

and then last but not least

28/35

divide the top & bottom by 7

4/5

And we're done!

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:

(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular

Answers

Answer:

Step-by-step explanation:

Help on this pleasee

Answers

Answer: 40 degrees

Step-by-step explanation:

There are 100 cm in a meter. write an expression to find the number of centimeters in 8 meters.

Help me with this question plss

Answers

Answer:

800m

Step-by-step explanation:

If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)

You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 4 and then picking an odd number?

Answers

Answer:

2/9

Step-by-step explanation:

All numbers:

2, 3, 4 → 3

Numbers less than 4:

2 and 3 → 2

Odd number:

3 → 1

The probability of picking a number less than 4:

2/3

The probability of picking an odd number:

1/3

The probability of picking a number less than 4 and then picking an odd number:

2/3 · 1/3 = 2/9

Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle

Answers

Answer:

See below ↓

Step-by-step explanation:

Given side lengths :

68

This question can be solved in two ways :

Taking the third side to be the hypotenuse (What you're probably looking for)Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)

Case 1

By Pythagorean Theorem, as right angle is mentioned :6² + 8² = x²x² = 100x = 10  [Your answer!]

Case 2

6² + x² = 8²x² = 64 - 36x² = 28x = 2√7 [Just in case!]

Hope it helps~

Describe what happens to a figure when the given sequence of transformations is applied

to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)

Answers

The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.

Transformation of coordinates

The translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)

The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.

The rule  (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.

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I’m thinking trapezoid and rhombus but I don’t know

Answers

It’s a parallelogram for sure

Area = 120 units squared
Base = 8 units
Length = ? (Include the units in your answer)

Answers

Answer:

15

Step-by-step explanation:

Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.

That would get us 120/8=Length,

and if we just divide 120 by 8 we get 15, so the length is 15

troy organizes a samll party there are 30 glasses of drinks at the party 20 of which contain an orange flavored drink what is the probability that a randomly selected drink will be orange flavored

Answers

66.67 percent you take the 20 and divide by 30 then multiply by one hundred

Answer:

66(2/3) %

Step-by-step explanation:

There are 30 possible outcomes because there are 30 cold drinks.

 The Probability of orange flavored  20/30   = 2/3 = 0.6666....

66.6666....%= 66(2/3) %

Matt says that 5 - 1 1/4 will be more than 4, since 5 1 is 4. Draw a picture to prove that Matt is wrong.

Answers

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

Scale word problem
Someone please help!!

Answers

Answer:

60.6 cm length

43.2 cm width

Step-by-step explanation:

The scale is 1 m = 6 cm

Take the length in meters, multiply it by 6, and change the unit to cm.

10.1 m becomes 10.1 × 6 cm = 60.6 cm

7.2 m becomes 7.2 × 6 cm = 43.2 cm

Consider the first 4 transactions in this check register. For what check number did a mistake occur in calculating the balance when the check amount qas debited from the register

Answers

A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.

What kind of transactions are recorded in a Check Register?

The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:

ChecksDebitsCreditsDeposits etc.

Do note that the register referenced in the questions is unavailable hence the general answer.

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Anthony takes out a student loan to pay for his college tuition this year. Find the interest on the load if he borrowed $6,000 at an annual interest rate of 6% for 15 years​

Answers

Answer:

the interest would be $5,400 after 15 years

An angle of measure [tex]\frac{4\pi }{3}[/tex] intersects the unit circle at point ([tex]-1/2,- \frac{\sqrt{3} }{2}[/tex]). What is the exact value of tan([tex]\frac{4\pi }{3}[/tex])?
a. -1/2
b. [tex]\sqrt{3[/tex]
c. [tex]\frac{\sqrt{3} }{3}[/tex]
d. [tex]-\frac{\sqrt{3} }{2}[/tex]

Answers

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.

Find the total amount
$20,700 at 9% compounded
semiannually for 4 years

Answers

Answer:

41,246.046 which could be rounded to .05 cents at the end.

Step-by-step explanation:

[tex]20700(1.09)^8[/tex]

we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.

hope this helps, please rate and mark as brainelst.

PLS HELP ME

Use the box-and-whisker plot to complete each of the following statements.

A)The median of Set A is approximately ___ the median of Set B.
Answers I can pick from: Half of, the same, twice

B) The range of Set B is approximately ___ the range of Set A.
Answers I can pick from: Half of, the same, twice

C) The interquartile range of Set A is ____ the interquartile range of Set B.
Answers I can pick from: Less then, greater then, the same

D. There is ____ overlap between the two data sets.
Answers I can pick from: some, much, little, like, no

Answers

To find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.

What is a Box Plot?

A box plot consists of a rectangular box, a vertical line that divides the box, and two whiskers extending from the box.

The box plots being referred to in the question are missing, however, the diagram attached shows how to determine the values you will need in solving the question.

The median is represented by the vertical line that divides the rectangular box.

The range = max value - min value.

The interquartile range = the range of the rectangular box = Q3 - Q1.

In summary, to find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.

Learn more about box plot on:

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No links just the Answer please!!!

Answers

Answer:Its -3.5

Step-by-step explanation:

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

21h-10h+16-9+14h+5

Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)

Like terms are:
21h, -10h, +14h

And

16, -9, +5

So add/ subtract the like terms

21h - 10h + 14h= 25 h

16 - 9 + 5 = 12

You can’t add 25h by 12 so your final answer is

25h+12
Answer:
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2

What is f(4) for the function f(x) = 2x + 5?
f(4) =

Answers

Answer:

f(4) = 13

Step-by-step explanation:

f(4) = 2(4)+5
f(4) = 13

Answer:

13

Step-by-step explanation:

f ( x ) = 2x + 5

To find : f ( 4 )

f ( 4 ) = f ( x )

Here,

x = 4

So,

f ( 4 ) = 2 ( 4 ) + 5

        = 2*4 + 5

        = 8 + 5

f ( 4 ) = 13

what is the answer to this problem (8+2)³-6

Answers

Answer:

994

Step-by-step explanation:

(8+2) = 10

10^3 = 1000

1000 - 6 = 994

Answer:

994

Step-by-step explanation:

(8+2)³-6

10³-6

1000-6

994

Hope that helps!

A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone?

Answers

Answer:

The height of the cone is 4 inches.

Solution :

We are given a cylinder and a cone of same volume i.e

[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder

And also the diameter of the cylinder is given 4 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 2 inches

The height of cylinder is 3 inches. And the diameter of the cone is 6 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 3 inches

First, let us recall the Formulas of volume of cylinder and cone:

[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]

[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]

Now, we know that the volume of cone is equal to the volume of cylinder

[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]

On putting the values:

[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]

[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]

[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]

[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]

[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]

[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence the height of the cone is 4 inches.

Find base of triangle on coodinate plane 8,2 and 6,2

Answers

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

(x+2)(x+7) Write in simplified form

Answers

Answer:

x^2+9x+14

Step-by-step explanation:

x×(x+7)+2×(x+7)

x^2+7x+2x +14

x^2+9x+14


Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.

Part B: Are these figures congruent? how do you know?

Answers

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

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Translate the following phrase to an expression: the difference between twenty and twice a number.

Answers

Answer:

20 - 2n

n = a number

Which set of steps can be used to prove the sine sum identity, sin(x y) = sin(x)cos(y) cos(x)sin(y)?

Answers

The trigonometry identity sin(x + y) = sinx cosy + cosx siny.

What is sin(x + y) identity in trigonometry?

sin(x + y) is one of the identities in trigonometry for compound angles.

The angle (x + y) represents the compound angles.

sin(x + y) = sinx cosy + cosx siny

To prove sin(x + y) = sinx cosy + cosx siny

Consider OX as a rotating line anti-clockwise. Let angle XOY = a

the making of an acute angle b the rotation in the same direction is

angleYOZ = b , angle XOZ = a + b

From triangle PTR,

∠TPR = 90 - ∠PRT , ∠ROX = a

From the right-angled triangle PQO

sin(a + b) = PQ/OP

= (PT + TQ) / OP

= PT/OP + TQ/OP

= PT/PR × PR/OP + RS/OR × OR/OP

= cos (∠TPR ) sinb + sina cosb

= sina cosb + cosa sinb

if we replace a=x and b=y

Therefore, sin(x + y) = sinx cosy + cosx siny.

Learn more about trigonometry identity;

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