David went to the store and bought a bag of
jellybeans for $1.73, an Easter basket for
$5.04, and a floppy bunny for $8.22. Assuming
there is no sales tax, how much change should
David receive if David gives the cashier a
twenty-dollar bill

The circular pan must have a radius of 6.68 inches.

The area of the circular pan just be the same as the area of the rectangular pan.

The rectangular pan is 10in by 14 in, so its area is:

A = 10in*14in = 140in^2

Then the circular pan must have an area:

A' = 3.14*r^2 = 140in^2

We can solve this for r:

r = √(140in^2/3.14) = 6.68 in

The circular pan must have a radius of 6.68 inches.

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Answer:

y = 4

Step-by-step explanation:

Thewtriangle on the right side has a 90° angle and a 30°, so the third angle is 60°. That makes the triangle a 30-60-90 right angle. The short leg is half the length of the hyptenuse.

y = 8/2 = 4

Answer: C. y = 4

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3÷12=0.25

12 goldfish for $3

x = -1.5

y = 8.5

hope it helps....!!!

[tex]4x-4y = 8~~~....(i)\\\\y+4x = 2.5~~~...(ii)\\\\(i)-(ii)\\\\~~~~4x-4y-y-4x = 8-2.5\\\\\implies -5y = 5.5\\\\\implies y = -\dfrac{5.5}5\\\\\implies y= -1.1\\\\\text{Substitute y= -1.1 in eq (i):}\\ \\~~~~4x-4(-1.1) = 8\\\\\implies 4x +4.4. =8\\ \\\implies 4x = 8-4.4\\\\\implies 4x = 3.6\\\\\implies x = \dfrac{3.6}4\\\\\implies x =0.9\\ \\\text{Hence,}~~ (x,y) = (0.9, ~-1.1)[/tex]

Answer:

4(4x + 3y)

Step-by-step explanation:

Given expression:  16x + 12y

Factors of 16:  1, 2, 4, 8, 16

Factors of 12:  1, 2, 3, 4, 6, 12

Therefore, the greatest common factor of 16 and 12 is 4.

As the expression has two variables, the variables cannot be factored.

Therefore, factored expression:  4(4x + 3y)

16x+12y

Factor each

Take 4 common as GCF

Answer:

The answer is 5.

Step-by-step explanation:

The answer is 5 because 5x8 and 5x5.  find the greatest common factor by matching the biggest common factor of 25 and 40.This is why the answer is 5.

Step 1: 25 = 5[tex]^2[/tex]

Step 2: 40 = [tex]2^{3}[/tex] × [tex]5^{1}[/tex]

Step 3: List of positive integer factors of 25 that divides 25 without a remainder. That is 1 and 5

Step 4: List of positive integer factors of 40 that divides 25 without a remainder. 1, 2, 4, 5, 8, 10, 20

Step 5: We found the factors and prime factorization of 25 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 25 and 40 is 5.

Answer:

Both

Step-by-step explanation:

After cutting the paper, both Calvin and Matthew have the same area. Calvin cut his into two rectangles that are each half the area of the original piece of paper. Matthew cut his paper into two equivalent right triangles that are also half the area of the original piece of paper.

Answer:

10 times

Step-by-step explanation:

Answer: y= -8

Step-by-step explanation:

Answer:

It's not

Step-by-step explanation:

To know this, you have to put a zero to the right.

So it'd be 34.3210, and as you can see, 34.3211 is greater

Answer:

2.36705065488

Answer:

5/11

Step-by-step explanation:

probability = # of favorable outcomes / # of total outcomes

favorable outcome = selecting a pair of formal shoes.

There are 5 pairs of formal shoes so # of favorable outcomes = 5

The total number of outcomes = sum of different pairs of shoes. There are  5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes, so total there are 5 + 2 + 4 = 11 pairs of shoes

so we have probability =  # of favorable outcomes / # of total outcomes

and # of favorable outcomes = 5 and total # of outcomes = 11 so probability of selecting a pair of formal shoes is 5/11

Step-by-step explanation:

simplify the three equations to get the common (Y) and we get the following:

1. [tex]Y = \frac{-5}{2}x + \frac{1}{2}\\[/tex]

2. [tex]Y = \frac{2}{5}x - 8[/tex]

3. [tex]Y = \frac{2}{5}x + \frac{4}{5}[/tex]

Line 1 and 2 are perpendicular because for the gradient(m) the fraction in line 1 for x is the negative reciprocal to line 2.

Line 1 and 3 are also perpendicular because for the gradient(m) the negative reciprocal can also be seen

*note for perpendicular lines the +c or y-intercept is neglected as it does not affect the perpendicularity

Line 2 and Line 3 are parallel because they have the same gradient of  [tex]\frac{2}{5}x[/tex]

So they will have the same slope, regardless of the y-intercept.

I think it's like this.

Hope this helps

Most problems like this can be done with two tools only: partial fractions, and the result 1/(1−w)=1+w+w2+⋯ for |w|<1. So first split your function f into 1/(z−2)−1/(z−1). I will show you how to cope with one of these factors, 1/(z−2). Writing this as −1211−z/2 is tempting but no good: the "1/(1−w)" expansion will converge only for |z/2|<1, not on the regions you are supposed to care about. So you take out a factor of z−1 instead:

1/(z−2)=z−111−2/z

The final term can be expanded with the 1/(1−w) series, valid for |2/z|<1 that is |z|>2. So that does give you a Laurent series valid in the right region (once you multiply bu z−1. These methods can be used to solve all of your problems.

Partial fractions:

[tex]f(z) = \dfrac z{(z-1)(2-z)} = -\dfrac1{1-z} + \dfrac2{2-z}[/tex]

For |z| < 1, we have

[tex]\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n[/tex]

and

[tex]\displaystyle \frac2{2-z} = \frac1{1-\frac z2} = \sum_{n=0}^\infty \left(\frac z2\right)^n[/tex]

(The latter series is valid for |z/2| < 1 or |z| < 2, but |z| < 1 is a subset of this region.)

Then

[tex]\boxed{f(z) = \displaystyle \sum_{n=0}^\infty \left(\frac1{2^n} - 1\right) z^n}[/tex]

Answer:

25

%

Step-by-step explanation:

te puedes subcribirte a mi canal se llama navegando con incognito

The probability that the two cards dealt to Patricia will both be yellow

is 1/4.

In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.

Given, there are 12 cards left in the deck, and three are yellow.

To find the probability:

The probability= number of yellow cards in the deck / total number of cards in the deck.

= 3/12

= 1/4

Therefore, the probability is 1/4.

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Answer:

y = 1

Step-by-step explanation:

Answer:

16 cm

Step-by-step explanation:

Circumference of a circle

We are told that the string is wound symmetrically around a circular rod.

Now, the circumference of the rod is 4 cm and length is 12 cm.

Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.

Thus, one wound = 4 cm

Since the string makes 4 turns about the rod, then;

Length of string = 4 × 4 = 16 cm

hopes this helps ya out

She would have to take 5.29 miles to save round-trip if she had taken the direct route.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.

Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.

Let's consider x to be the direct route.

By Pythagoras theorem, we can find the direct route

[tex]x^{2} = 8^{2} +6^{2} \\\\x^{2} = 64 - 36\\\\x^{2} = 28\\\\x= \sqrt{28} \\\\x= 5.29[/tex]

Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.

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Answer:

$0.57

Step-by-step explanation:

In one cup there are eight fluid ounces

To find the cost per fluid ounce all you have to do is divide the price by how many ounces]

To find ounces= 2x8=16

To find price per ounce 9.12/16= .57

Answer:Sure, what do you need help with

Step by step explanation:

Sure, what do you need help with

Given -

To find -

Explanation -

As we know, circumference of the circle = 2πr

where r signifies the radius of the circle. And radius if half of the diameter, i.e, r = d/2

Solution -

Circumference of the circle = 2πr

r = 32/2 = 6

Substituting the value of r,

Circumference of the circle = 2 × 3.14 × 6

Circumference of the circle = 12 × 3.14

Circumference of the circle = 37.6 ft

Therefore, the the circumference of the circle is 37.6 ft.

Answer:

−1\°

Step by step explation:

Let

x -----> the wind speed in mi/h

y ----> the wind chill in °F

we have

y=-0.36x+12.6y=−0.36x+12.6

so

For x=38 mi/h

substitute in the linear equation and solve for y

y=-0.36(38)+12.6=-1.08\°y=−0.36(38)+12.6=−1.08\°

Round to the nearest degree

-1.08=-1\°−1.08=−1\°

The distance that riders travel round the Ferris wheel in 15 rotations is 11,786 feet.

The first step is to determine the distance travelled in one rotation. To do this, the circumference of the wheel has to be determined.

Circumference of a circle = π x 250

22/7 x 250 = 785.71 feet

Now, multiply the circumference by 15

785.71 feet x 15 = 11,786 feet

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Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

Answer:

Step-by-step explanation:

Answer:

Larissa would spend a total of: $7,680 in 1 year

Step-by-step explanation:

Answer:

Both of those tables show a proportional relationship between x and y.

Step-by-step explanation:

In the second table the values all equal 0.75 when divided.

In the first table the values all equal 1.25 when divided.

The height of the tree is 4.15m

We are given that

Height of Joshua, h=1.85 m

Length of tree's shadow, L=39.55 m

Distance between the tree and Joshua=35.4 m

We have to find the height of the tree.

BC=35.4 m

BD=39.55m

CD=BD-BC

CD=-35.4 m=4.15 m

EC=1.45 m

All right triangles are similar. When two triangles are similar then the ratio of their corresponding sides is equal.

[tex]\triangle ABD=\triangle ECD[/tex]

[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]

Substitute the values

[tex]\frac{AB}{1.45}=\frac{39.55\times 1.45}{4.15} \\\\AB=20.39[/tex]

Hence, the height of the tree=20.39 m

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