Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.

Which answer gives the best estimate for the number of books Robyn can buy?

Answer:

37.68

Step-by-step explanation:

circumference is diameter, which in this case is 12,times pi which I always simplify to 3. 14

12 times 3. 14 is approximately 37cm so that is why I have given this answer

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Option B) is correct.

Here, we are given –

Let's find it's radius first.

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

[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{12 }{2}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \cancel{\dfrac{12 }{2}}[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Radius = 6 \: cm[/tex]

We know that–

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Circumference \: of \: circle = 2\pi r}[/tex]

[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi r[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi \times 6[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} =2 \times 3.14\times 6[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Circumference_{(Circle)} = 37.68 \: cm }\\[/tex]

Answer:

  f = 2.75p

Step-by-step explanation:

You can see that the amount of flour for 6 cakes is double the amount for 3 cakes, so the amount of flour is proportional to the number of cakes. An equation for a proportional relationship will have the form ...

  f = kp

We can find the value of k from any column in the table.

  8.25 = k(3) . . . . using the values in the first column

  8.25/3 = k = 2.75 . . . . . divide by 3

The equation is ...

  f = 2.75p

_____

Additional comment

If the input doubles, but the output does not, then the relationship is not proportional. We ordinarily expect recipes to have proportional relationships.

Answer: -7

Step-by-step explanation:

The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept

Therefore, the m value is -7 and it is the slope

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given }}[/tex]

[tex]\bold{\underline{ To \: Find }}[/tex]

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

[tex]\sf{ 2x - 3y = -6 ...eq(1)}[/tex]

[tex]\sf{ x + 3y = 12 ...eq(2)}[/tex]

Multiply eq( 2 ) by 2 :-

[tex]\sf{ 2( x + 3y = 12 )}[/tex]

[tex]\sf{ 2x + 6y = 24 }[/tex]

Subtract eq(1) from eq(2) :-

[tex]\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}[/tex]

[tex]\sf{ 2x + 6y - 2x + 3y = 24 + 6 }[/tex]

[tex]\sf{ 9y = 30 }[/tex]

[tex]\sf{ y = 30/9}[/tex]

[tex]\sf{\red{ y = 10/3}}[/tex]

Now, Subsitute the value of y in eq( 1 ):-

[tex]\sf{ 2x - 3(10/3) = -6 }[/tex]

[tex]\sf{ 2x - 10 = -6 }[/tex]

[tex]\sf{ 2x = -6 + 10}[/tex]

[tex]\sf{ x = 4/2}[/tex]

[tex]\sf{\red{ x = 2}}[/tex]

Hence, The value of x and y is 2 and 10/3

Answer:

31.7079632679 round it up and you get 32

Step-by-step explanation:

pi times 25 +16 because 8 times 2 is the area of the base

so basically the equation is

pi x 25 + 16=

pi x 25 is about 15.7079632679 if my calculations are correct

and then 15.7079632679 + 25 and we get 31.7079632679

Answer:

A=264 pi

? Is 264

Hope this helps!

The graph is an illustration of an exponential function

The equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]

From the graph, we have the following ordered pairs

(x,y) = (0, 25.5), (1, 15.3) and (2, 9.18)

An exponential function is represented as:

[tex]y = ab^x[/tex]

When x = 0, we have:

[tex]25.5 = ab^0[/tex]

[tex]a = 25.5[/tex]

When x = 1, we have:

[tex]15.3 = ab^1[/tex]

[tex]15.3 = ab[/tex]

Substitute 25.5 for a

[tex]15.3 = 25.5b\\[/tex]

Solve for b

[tex]b = 0.6[/tex]

So, the exponential equation is:

[tex]y = 25.5 * 0.6^x[/tex]

Hence, the exponential equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]

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g(x) =25.5(0.6)ˣ function best models the number of game consoles sold in millions x years since 2009?

From the given graph we can observe three ordered pairs which are  (0, 25.5), (1, 15.3) and (2, 9.18).

We have to find the function which best models the number of game consoles sold in millions x years since 2009.

This we can find by using exponential function.

y=abˣ

When x = 0, we have:

a=25.5

When x=1, then y should be 15.3

15.3=ab

Substitute 25.5 for a

15.3=25.5b

Divide both sides by 25.5:

b=0.6

So the function is g(x)=25.5(0.6)ˣ

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Answer:

x=6

Step-by-step explanation:

6 +2 is 8

2(6) - 9 = 3

8 times 3 is 24

Mark Brainliest :)

Answer:

x=14

Step-by-step explanation:

This shape is a pentagon, as it has 5 sides. The formula to find the sum of the interior angles of a polygon is:

(n-2)*180

In this case n represents the number of sides. We can plug 5 into the equation to get...

(5-2)*180=3*180=540

Since all sides are equal, all angles are equal too therefore one angle is equivalent to...

540/5=108

This means...

9x-18=108

Add 18 to both sides

9x-18+18=108+18

9x=126

Divide both sides by 9

x=14

Answer:

x = 14

Step-by-step explanation:

This is a pentagon and there are five sides in a pentagon. All of the sides degrees added together makes 540.

Since the angles are the same and the average angle of every pentagon is 108, then 9x - 18 = 108.

108 + 18 = 126

9x = 126

9x/9 = 126/9

x = 14

Answer:

3.1x + 2.2x - 2.4y - 1.4y + 1.9 - 3.4

Step-by-step explanation:

3.1 x - 2.4 y + 1.9 + 2.2x - 1.4y - 3.4

→ Collect all the like terms

3.1x + 2.2x - 2.4y - 1.4y + 1.9 - 3.4

Answer:

sum: 2x + 3 but you cant add not like terms

Term   2x + 3

Product   8x+12

factor   2,x ;5,y; 4,(2x+3)

quotient   4(2x+3) ÷ 5 = 12 ÷ 5y

coefficient = 2 and 5

Step-by-step explanation:

sum: 2x + 3 but you cant add not like terms

Term   2x + 3

Product   8x+12

factor   2,x ;5,y; 4,(2x+3)

quotient   4(2x+3) ÷ 5 = 12 ÷ 5y

coefficient = 2 and 5

Answer:

Show similarity between triangle WXZ and triangle VXY then write XY/XZ=VY/WZ

The reason is: The ratio of corresponding sides of similar triangle are equal.

Answer:

See below

Step-by-step explanation:

-8/x - 11 = -2

First add 11 to both sides

-8/x - 11 + 11 = -2 + 11  simplifies to  -8/x = 9

Now multiply both side by x

( -8/x)  X ( x ) = ( 9 )  X ( x ) which simplifies to -8 = 9x

Divide each side by 9

-8/9 = (9x)/9 which simplifies to   -8/9 = x  or   x = - 8/9

Answer:

-23

Step-by-step explanation:

Negative 2 plus positive 3 equals 1.

-2 + 3 = 1

I hope this helps you out :)

Answer:

-6

Step-by-step explanation:

[tex](3 \times 2) - (4 \times 3) \\ (6) - (12) \\ 6 - 12 \\ = - 6[/tex]

Answer:

See below.

Step-by-step explanation:

A measurement could be a distance or a length, or a weight, or a volume. All those quantities are expressed as positive numbers.

For example, what is the distance from New York to Los Angeles?

Answer: 2,800 miles

What is the length of a book?

Answer: 8 inches

How much does John weigh?

Answer: 150 lb

All those numbers are positive.

There is one measurement that is often a negative number. That is a temperature.

Answer:

6

Step-by-step explanation:

substitute the given values into the expression

4[tex]a^{4}[/tex] - 2b² + 40

= 4[tex](2)^{4}[/tex] - 2(7)² + 40

= 4(16) - 2(49) + 40

= 64 - 98 + 40

= - 34 + 40

= 6

Answer:

80

Step-by-step explanation:

I took the test

The measure of the fifth angle will be 80°. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as,

Sum of angles = (n - 2) × 180°

The sum of the interior angle of the pentagon is given as,

Sum of angles = (5 - 2) × 180°

Sum of angles = 3 × 180°

Sum of angles = 540°

And the diagram is given below. The equation is given as,

x + 90° + 90° + 140° + 140° = 540°

x + 460° = 540°

x = 540° - 460°

x = 80°

The measure of the fifth angle will be 80°. Then the correct option is B.

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Answer:

Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.

Step-by-step explanation:

what are you looking for

drop ur comment below

The written form of vector AB in component form is; (4,8)

From the given points;

From evaluation, the angle direction of AB is;

Hence, the x and y components of vector AB are;

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Answer:

132.25π m²

Step-by-step explanation:

Answer:  

Answer:

Samira earns $5 dollars per hour.

Step-by-step explanation:

$22.50 divided by 4.5 hours = $5 dollars

Profit function gives the profit earned for given input. Thus, Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.

It might not be always possible. But for simple cases, we can try using addition or subtraction or such operations in linear equations if there is single variable with single equation.

For the given case, the profit $78 for x necklace manufactured is

[tex]8(x + 2.75) = 78[/tex]

(remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times (x + 3) = 2(x + 3)[/tex])

Solving this equation, we get:

[tex]8(x + 2.75) = 78\\\\\text{Dividing by 8 on both the sides}\\\\(x + 2.75) = \dfrac{78}{8} = 9.75\\\\\text{Subtracting 2.75 from both the sides}\\\\x = 9.75 - 2.75 = 7[/tex]

Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.

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Answer:

C

Step-by-step explanation:

Using an exponential function, it is found that the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year is given by:

[tex]P = 100\% \times [(1 .03)^t - 1][/tex]

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

As a percentage, the increase is modeled by:

[tex]P = 100\% \times [(1 + r)^t - 1][/tex]

In this problem, the growth rate is of r = 0.03, hence:

[tex]P = 100\% \times [(1 + 0.03)^t - 1][/tex]

[tex]P = 100\% \times [(1 .03)^t - 1][/tex]

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Step-by-step explanation:

The formula states that

S. I=P*R*T/100

R=S. I*100/P*T

Simple Interest= Amount - principal

Simple Interest = 130000 - 50000

Simple Interest = 80000

R= 80000*100/50000*20

R= 800000/100000

R=8%

The three workers working in different shifts, and the number of gold

nuggets found in three days give a system of three equations.

Response:

1) Kate finds 4 nuggets per hour, Kevin finds 1 nugget per hour and Greg finds 5 nuggets per hour.

2) Kevin

Let a, b, and c represent the number of nuggets per hour that Kate, Kevin, and Greg finds, we have;

Kate, Kevin, and Greg works for 6, 7, and 4 hours respectively on Monday

On Tuesday, we have; 5, 5, and 6 hours respectively

On Wednesday, we have; 4, 8, and 6 hours respectively

Which gives the following system of simultaneous equations;

6·a + 7·b + 4·c = 51...(1)

5·a + 5·b + 6·c = 55...(2)

4·a + 8·b + 6·c = 54...(3)

Subtracting equation (2) from (3) gives;

4·a - 5·a + 8·b - 5·b + 6·c - 6·c = 54 - 55 = -1

3·b - a = -1

a = 3·b + 1

Which gives;

6·(3·b + 1) + 7·b + 4·c = 25·b + 4·c + 6 = 51

25·b + 4·c + 6 = 51

5·(3·b + 1) + 5·b + 6·c = 20·b + 6·c + 5  = 55

20·b + 6·c + 5 = 55

Similarly;

Which gives;

4 × (50 - 20·b) = 6 × (45 - 25·b)

200 - 80·b = 270 - 150·b

150·b - 80·b = 270 - 200 = 70

70·b = 70

a = 3·b + 1

a = 3 × 1 + 1 = 4

[tex]c = \dfrac{45-25\times 1}{4} = \mathbf{ 5}[/tex]

2.) The person that can be fired is the one that finds the least number of gold nuggets per hour, which is Kevin

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Answer: Class room dynamics includes student behavior, emotions and imagination. It also includes teacher's ways of presenting academic materials and student interactions. It helps in creating a positive class room culture. Effective teaching and learning cannot take place in a poorly managed classroom.

Step-by-step explanation: