Annabelle has $0.15 worth of pennies and nickels. She has a total of 7 pennies and
nickels altogether. By following the steps below, determine the number of pennies, x,
and the number of nickels, y, that Annabelle has.

Answer:

296

Step-by-step explanation:

Use long division.

      296

21 |6216

  -42
     201
     -189

       126
       -126

          0

Hope this helps!

Answer:

15

Step-by-step explanation:

x+x+1+x+2+x+3=66

simplify into 4x+6=66

subtract 6 from both sides to get 4x=60

divide both sides by 4 to get x=15

The age of Bashir is 15 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the consecutive age be x, x+1, x+2 and x+3.

Now, sum of their ages is 66

So, x+ x+1 + x+2 + x+3 = 66

Simplifying for x, we get

4x+6=66

subtract 6 from both sides

4x=60

divide both sides by 4

4x /4 = 60/4

x= 15

Hence, Bashir age is 15 years.

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Answer:

78.5m

Step-by-step explanation:

Area of circle = [tex]\pi[/tex]r^2

Area of clock = 3.14 x 5^2 = 78.5m

In a heptagon, the sum of all seven angles is 900 degrees. If you add up the four given angles you will get 600 degrees. In the question it says, "the remaining interior angles are EQUAL" so therefore, the only way to get from 600 to 900 from the remaining three angles is 100. Each remaining angle is 100 degrees

Answer:

Heptagons are known to have seven interior angles that add up to 900°, so we must find the last 3. First, add the first four they gave us.

[tex]160\circ + 130\circ = 290\circ\\= 290\circ + 170\circ + 140\circ\\170\circ + 140\circ = 310\circ\\= 290\circ + 310\circ\\= 600\circ[/tex]

We now know that the remaining angles are all 100°, because the question mentions the rest of the interior angles being equal. The only reasonable 3 equal numbers to add up to 900° would be three 100s in this case.

"Extend the domain of the trigo functions using the unit circle" Cluster A.

The following steps can be used to calculate the sine and cosine of any angle thetatheta and allow us to extend the domain of sine and cosine to any real numbers:

Move counterclockwise around the unit circle starting at (1, 0), (1, 0), (1, comma, 0, right parenthesis, until the angle created by your position, the origin, and the positive xxx-axis equals thetatheta.

The yyy-coordinate of your point is equal to sin(theta)sin(theta)sine, and the xxx-coordinate is equal to cos(theta)cos(theta)cos(theta)cosine, left parenthesis, theta, right parenthesis.

There are several references to and issues with in the worlds of calculus, pre-calculus, and trigonometry.

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Answer: T (4,4)

Step-by-step explanation:

The value of the fourth element of the series is 13.

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

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Answer:

Step-by-step explanation:

The value of the fourth element of the series is 13.

How to determine the value of an element of the series by using recurrence formulas

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

According to the given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

The correct option is D.

A conversion factor is a quantity that is used to multiply as well as divides one set of units by another. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches to feet, for example, the suitable conversion value is 12 inches equal 1 foot.

Conversion KPIs are critical for determining the efficacy of marketing campaigns. Only by measuring how many users convert as a result of that spend can you calculate your ROAS.

We are given an amount of 350 milliliters and asked to convert it to liters.

We know that :

1 liter = 1000 milliliters

We are given an amount of 350 milliliters and asked to convert it to liters.

1 liter/x liter = 1000/350

x = 350/1000

x = 3.5 x 10⁻¹

The given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

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I understand that the question you are looking for is:

Which measurement is equivalent to 350 milliliters?

A. 3.5 × 102 liters

B. 3.5 × 101 liters

C. 3.5 × 10–2 liters

D. 3.5 × 10–1 liters

In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint.

Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint. To get orange shade she has to add 4 ounces of yellow paint to get same shade.

Given that,

In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint. Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint.

We have to see the ratio

4:1

extra 1 red paint that is

4+1:1

5:1

Therefore, To get orange shade she has to add 4 ounces of yellow paint to get same shade.

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Answer:

161 degrees since 180 - 19 would be 161 since they are supplementary if they are

Step-by-step explanation:

Sorry for taking so long :/

Step-by-step explanation:

*Four times the difference of a number and 7 is 32*

Answer-

4(x-7)=32

ten increased by the quotient of a number and 2 is 15-

Answer-

10+(x/2= -15

or

10+x/2=-15

anyone of them

Answer:

Step-by-step explanation:

1/6

70 simple random samples of size 4 can be selected from a population of size 8

According to the question, samples of size 4 have to be selected from a population of size 8. The selection can be made in

8C4 ways.

Selection=8C4=8!(8−4)!4!

Selection=8!(8−4)!4!

Selection=8×7×6×5×4!4!×4×3×2

Selection=2×7×5

Selection=70

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Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.

For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:

$90.93/7 = $12.99.

The cost of 5 t-shirts will be given by:

5 x 12.99 = $64.95.

Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:

64.95 x 8.6964 = 564.83 Kronas.

The cost of the 5 t-shirts would be of 564.83 Kronas.

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The correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.

As given in the question,

Given exponential expression is equal to 3⁵

General form of exponential expression is given by  aˣ

a is the base and x is the exponent

This means 'x' times ' a ' is multiplied to ' a '

Compare 3⁵ with general form

3 is base

5 is exponent

This means '5' times ' 3 ' is multiplied to '3'

3⁵ = 3.3.3.3.3

Therefore, the correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.

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Answer:

Step-by-step explanation:

(2 - y)(3y + 8) = 0

2 - y = 0

y = -2

3y + 8 = 0

y = -8/3

Answer:-12

Step-by-step explanation:

Im going to assume that x2 means x squared.  You can just substitute "x" for 5.  3(5-4)+2(5)-5^2.  First parenthesis equals 3(1)+10-5^2.  Then it equals 3+10-5^2.  So then it would be 13-5^2.  5^2 equals 25.  so it would be 13-25. Which equals -12.

The blank will be filled with 15.

The Bodmas rule is arranged according to the letters in the acronym BODMAS, which stand for brackets, position of power or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BODMAS rule, multi-operator mathematical equations must be resolved in the BODMAS order from left to right.

The explanation goes like:

45 ÷ 3 = ( 30 + 15 ) ÷ 3

= 30 ÷ 3 + 15 ÷ 3

= 10 + 5

= 15

Hence the answer is 15.

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The total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

To calculate time:

To calculate the total number of times the heart of human beats in an average lifetime of 89.3 years,

In 89.3 years, we will calculate the number of minutes.

Because there are 69.6 heartbeats per minute

Then,

There are 46968228 heartbeats in 46968228 minutes.

Therefore, the total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

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If Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

Given,

The total invested amount = $8000

Consider the amount invested at 5% simple interest as x and the amount invested at 6% simple interest as y

Then, the equations will become

x + y= 8000

x = 8000-y

At the end of one year the investment = $454

0.05x + 0.06y =454

Substitute the value of x in the equation

0.05(8000-y) + 0.06y =454

400-0.05y+0.06y =454

0.01y+400=454

0.01y =54

y = 5400

Substitute the value of x in

x + y = 8000

x+5400=8000

x=8000-5400

x=2600

Hence, if Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

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The correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

From the question, we are to determine the correct symbols that complete the given statements

The given statements are

h(0) ___ g(0)

and

h(1) ___ g(1)

To complete the statements, we will find the values of the given functions from the graph

From the graph of h(x), we can observe that

h(0) = 4

and

From the graph of g(x), we can observe that

g(0) = 4

Thus,

The two functions are equal

h(0) = g(0)

Also,

From the graph of h(x),

h(1) = 3

and

From the graph of g(x),

g(1) = 2

That is, h(1) is greater than g(1)

Thus,

h(1) > g(1)

Hence, the correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

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Answer: 5.9646399e+21

The equation of the circle can be given by: (x - 8)² + (y - 5)² = 9.

The equation for a circle in standard form is (x - x1)² + (y - y1)² = r², where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's center.

Now,

=> (x - 8)² + (y - 5)² = 9

Hence, the equation that describe the circle of radius 3 centered at (8, 5, 6) that is parallel to the xy-plane is given by: (x - 8)² + (y - 5)² = 9

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Answer:

823543 Or 7^7

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

2x7 + 2x3=

2*7 + 2*3=

14+6=20

The equation will be: 4.65r + 4.95p = 874.80

The total cost of gas will be sum of the individual costs of both the types of gas. Firstly, calculating cost of regular and premium gas followed by forming the equation.

The total cost of regular gas = Amount of regular gas × Cost of regular gas per gallon

The total cost of regular gas = 4.65 × r

The total cost of premium gas = Amount of premium gas × Cost of premium gas per gallon

The total cost of regular gas = 4.95 × p

We are given overall spending = 874.80

Forming the equation -

Total cost of regular gas + total cost of premium gas = overall spending on gas

4.65r + 4.95p = 874.80

Hence, the equation that models the situation is 4.65r + 4.95p = 874.80.

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Answer:

71°

Step-by-step explanation:

A supplementary angle is the sum of two angles whom are less than 180 degrees, yet the sum will only be 180 degrees. Because we are finding the supplement angle, we must subtract.

[tex]\sf Long\:Subtraction\\9\:doesnt\:go\:into\:10,borrow\:1\\= 10\\= 10 - 9\\= 1\\8\:cant\:go\:into\:0,take\:1\:since\:you\:just\:borrowed\\= 7\\= 7 - 0\\= 7\\1 - 1\\= 0\\\\= \boxed{71}[/tex]

➲ Hope this helps.

Answer: B

Step-by-step explanation:

The 4th statement is the most correct, imo

"There is a much larger preference for science among those who prefer R&B", but there is only less than 20% of the students who prefer science.

"There is a much larger preference for English among those who prefer rock", but there is only a little more than 20% of the students who prefer english.

"There is a much smaller preference for math among those who prefer country", but nearly 40% of the students prefer math.

And looking at it, all the subject preferences for all kind of music groups are pretty much evenly distributed.

The solution to the box plot is the percentages for class preference are relatively the same among the different music groups

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Let the plot be represented as A

Now , the x axis represents the favorite music type

And , the y axis represents the relative frequency

From the R and B column , the science people is less than mathematics people

From the Rock column , the English people is less than mathematics people

From the country column , mathematics people is greater than  English people

And , from the plot we can say that percentages for class preference are relatively the same among the different music groups

Hence , the box plot represents similar percentages

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After buying tickets and drinks the total cost is 29.18 and using 5.00 off coupon, the cost of one drink is 11.59

As per the question statement, 2 tickets cost 11.00 and they bought 2 drinks and used a 5.00 off coupon. The total cost was 29.18. We are supposed to find out the cost of one drink.

Let the cost of one drink be "x"

Cost of 2 tickets = 11

Off coupon is of 5.00

Cost of two drinks = [tex]2x[/tex]

Total money paid = 29.18

Hence, [tex]11+2x-5=29.18\\2x=29.18+5-11=23.18\\x=\frac{23.18}{2} \\x=11.59[/tex]

Therefore the cost of one drink is [tex]x=11.59[/tex]

This question was a classic example of how to form equations when all the given conditions are in statements.

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