Ms.Barton ate an impressive number of slices, but Mr.weaver ate eight more slices than Ms.Barton did. Mr.Fitzgerald ate fifteen Fewer slices than twice as many as Ms.Barton did. Mr.Lloyd’s total was more thirty than half of Ms.Barton’s

If the teachers ate a total of 176 slices of pie, what was the finishing order of the contest and how many slices did the winner eat?

The area of the region is -2/3 square units

Since the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by

[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]

Integrating, we have

A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴

A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]

A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]

A = [56/6] - [24 - 16 - {6 - 8}]

A = [56/6] - [8 - {-2}]

A = [56/6] - [8 + 2]

A = [56/6] - [10]

A = 56/6 - 10

Taking the L.C.M, we have

A = (56 - 10 × 6)/6

A = (56 - 60)/6

A = -4/6

A = -2/3 square units

So, the area of the region is -2/3 square units

Find the graph in the attachment

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Answer:

The answer is C because 8-6=2 and 2 is equal to 2

Step-by-step explanation:

Answer:

The smallest thing is visible to the naked eye is 1/3x10^5 times as thick as DNA.

The thickness of DNA is 3x10^-5 of the thickness of the smallest thing visible to the naked eye.

Step-by-step explanation:

Answer:

Whatever is smallest to the naked eye is 1/3x10^5 times as thick as DNA.

Answer:

40

Step-by-step explanation:

Answer:

2= log(2x)

3=log(x)

4=log(x)

Step-by-step explanation:

Answer:

60 lawns

Step-by-step explanation

6/5 lawns per hour times 50 hours = 60 lawns.

rate x time

Answer:

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

[tex]V_{cylinder}=\pi r^2 h[/tex]

[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]

[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]

[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]

[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]

[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]

Cone's volume is one third of the cylinder's volume.

Answer:

5

Step-by-step explanation:

this is easy

Answer:

2

Step-by-step explanation:

Answer:

2x+9 is the equation

x = 10.5

Step-by-step explanation:

2x + 9 = 30

2x = 30 - 9 = 21

x = 21 ÷ 2 = 10.5

Hope this helps!

The change in the current price of the bond when the market interest rates increase from 5% to 5.5% is a fall in the price of the bond.

The attractiveness of bonds occurs when the interest rates fall.  This fall drives up demand for bonds with fixed interest rates and the increasing demand causes bond prices to rise.

This implies that when interest rates rise, investors do not prefer the lower fixed interest rate paid by a bond.  The reduced demand for bonds results in their declining prices.

Thus, when interest rates rise, bond prices fall and when interest rates fall, bond prices rise.

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Answer:

Multiplication

Step-by-step explanation:

simple form:

-4 x 6

-4 TIMES 6

therefore -4•6

Answer:

it stands for x or multiply

Step-by-step explanation:

Answer:

9: 8

10: divisible by 2

11: 8 1/3

Step-by-step explanation:

9514 1404 393

Answer:

  7. odd angles, 143°; even angles, 37°

  8. odd angles, 159°; even angles, 21°

  9. even angles, 34°; odd angles, 146°

  10. even angles, 29°, odd angles, 151°

Step-by-step explanation:

Angles 1 and 3 are vertical angles, so are congruent. The same can be said of angles 2 and 4. Each odd-numbered angle is supplementary to each even-numbered angle.

__

7. m∠1 = m∠3 = 143°, m∠2 = m∠4 = 180° -143° = 37°

8. m∠1 = m∠3 = 159°, m∠2 = m∠4 = 180° -159° = 21°

9. m∠2 = m∠4 = 34°, m∠1 = m∠3 = 180° -34° = 146°

10. m∠2 = m∠4 = 29°, m∠1 = m∠3 = 180° -29° = 151°

Answer:220g

Step-by-step explanation:

1 kg is equivalent to 1000g, therefore 1000g - 780g = 220g

Answer:

  x + 2.6 = 10.4

  x = 7.8

Step-by-step explanation:

If 2.6 liters are added to x liters with the result that 10.4 liters then exist, the model is ...

  2.6 +x = 10.4 . . . . . . . 2.6 added to x gives 10.4

The commutative property of addition lets you rewrite this to ...

  x +2.6 = 10.4

__

Subtracting 2.6 from both sides of the equation gives its solution:

  x +2.6 -2.6 = 10.4 -2.6

  x = 7.8

Answer:

2x2 - 7 = 9

Step-by-step explanation:

The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.

The probability model shows the distribution of people of age 20 to 39 years

The value of the probability P(A) is 0.631

From the question, the notation P(A) represents the probability that a person is either 20-24 years old or is married

From the table, we have the following parameters:

The probability, P(A) is then calculated as:

P(A) = P(20-24) + P(Married) - P(20-24 and Married)

Substitute known values

P(A) = 0.26 + 0.398 - 0.027

Evaluate the expression

P(A) = 0.631

Hence, the value of the probability P(A) is 0.631

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Answer:

7 flower bunches

Step-by-step explanation:

One flower bunch requires 12 roses since 48/4 is 12

then to find out how many flower bunches can be made by 84 roses you would have to divide 84 by 12 which gives you 7.

Answer:

7

Step-by-step explanation:

48 roses divided by 4 roses is 12 roses per bunch.

84/12=7

Answer:

2. Change from dog/cat to tails/heads.DDC = TTH  CDC = HTH DCD = THT     CCD = HHT DDD = TTT CCC = HHH DCC = THH CDD = HTT

Answer:

1754

Step-by-step explanation:

114% : 2000

100% : x

x =

[tex]2000 \times 100\% \div 114\% = 1754 \: customers \\ [/tex]

cube surface area = 6 x 9 x 9 = 486 in²

The amount of the 12 grams sample of gold-195m having a half-life of 30.5 s that would remain after 41 s is 4.726 g

n = t / t½

n = 41 / 30.5

n = 82/61

N = N₀ / 2ⁿ

N = 12 / 2^(82/61)

N = 4.726 g

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[tex]\\ \sf\longmapsto \dfrac{1}{4}y-7=\dfrac{1}{9}y[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{4}y-\dfrac{1}{9}y=7[/tex]

[tex]\\ \sf\longmapsto \dfrac{9-4}{36}y=7[/tex]

[tex]\\ \sf\longmapsto 5y=36(7)[/tex]

[tex]\\ \sf\longmapsto 5y=252[/tex]

[tex]\\ \sf\longmapsto y=50.4[/tex]

Answer:55

Step-by-step explanation:

i had that question in my test

Answer:

the person above me is correct!

Step-by-step explanation:

Answer:

Metric Unit: US Standard Unit (English Unit or Customary Unit) Millimeter (mm) Used to measure very short lengths or thicknesses. Example, length of a pencil tip. Centimeter (cm): Used to measure small lengths. Example: Length of a pencil. Meter (m): Used to measure big lengths. Example: Length of a classroom. Kilometer (km):

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A box of tissues is not that big, so we can't use kilometers.

You are only measuring the length, not the weight, so we can't use grams or kilograms.

The only option left is C, centimeters.

Answer:

Step-by-step explanation:

[tex]44:20[/tex]

Cancel common factor : 4

[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]

The ratios are 44:20=11:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given ratios are  44:20 = ?:5

we have to find the number in question mark place.

Let question mark be taken as x.

The ratios can be written in the form of fraction

44/20=x/5

Apply cross multiplication

44×5=20x

220=20x

Divide both sides by 20

x=220/20

x=11

Hence, the ratios are 44:20=11:5

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Answer:

94a - 32b - 72c + 560

Step-by-step explanation:

First get the product of 6(3a + 12b - 4c) = 18a + 72b - 24c.

Second get the sum of 14a + 70 and 5b - 12c = 14a + 5b - 12c + 70 then multiply by 8 and the product is 112a + 40b - 96c + 560. Subtract the first product from the 2nd product to get the final answer

First, you have to line up the decimal places (it isn't multiplication or division).

  25.21

-  12.47

_______

12.74

25.21-12.47 = 12.74

Answer:

12.47

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Its impossible tto calculate x there.

But i can simply the expression for you...

42x²-13x+1