Elizabeth went to the candy store and wanted to use the dimensional analysis she had learned in class that day. She only had a certain amount of money to spend. In terms of price, she figured out the following conversion factors: 2 lollipops = 8 gumballs 11 gumballs = 8 lemonheads 14 lemonheads = 16 redhots If Elizabeth knows she could buy 18 lollipops, how many redhots could she buy for the same amount of money?

Answer:

45 and 63

Step-by-step explanation:

7x-5x=18

2x=18

2 2

x=9

7(9)=63

5(9)=45

Answer:£21.00

Step-by-step explanation:

One pizza: (£35/5) =£7

Three pizza's: (£7x3)=£21

Answer:

2695.49 m

Step-by-step explanation:

A = 2πrh + 2πr2

2 · π · 13 · 20 + 2 · π · 132

2695.4865

Given:

Radius of the circle = 6 inches

Central angle = 75 degrees.

To find:

The length of subtended arc, i.e., x.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get

[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]

[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]

[tex]x=7.85[/tex]

[tex]x\approx 7.9[/tex]

Therefore, the value of x is 7.9 inches.

Answer:Radius of the circle = 6 inchesCentral angle = 75 degrees.

Step-by-step explanation:

25 coins represent 25 percent of Jocelyn's collection.

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.

given, Jocelyn has a collection of 100 coins.

100% of her collection represents = 100 coins

1 %  of her collection represents = 100/100 coins

1%  of her collection represents = 1 coin

thus,

25%  of her collection represents = 1*25 coins

25%  of her collection represents = 25 coins

therefore, 25 percent of the collection of Jocelyn represents 25 coins.

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The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg

A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.

The coffee blend of LaToya shop = Type A and B

A bag of the coffee blend = 6kg of Type A.

4 bags of coffee blend = 36kg

Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A

Type B in each bag = 36 - 24 = 12/4 = 3kg.

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Answer:

17/5

It is already simplified to lowest terms.

This number, as a mixed fraction, would look like this:

3 2/5.

Answer:

1 = 24 degrees

2 = 156 degrees

Step-by-step explanation:

Solve the equation for x:

x -  15 +4x = 180

5x = 195

x = 39

so 1 = (39-15) = 24 degrees

so 2 = (4x39) = 156 degrees

[tex]arc \ length = 2\pi r \frac{\theta}{360} = \\\\[/tex][tex]2 \pi *9 * \frac{135}{360} =21.205[/tex]

[tex]\frac{3\pi }{4} =\frac{3*180}{4}=135[/tex]

Answer:

  28 toys

Step-by-step explanation:

Ben has 50 toys, of which 15 are new, 9 are favorites, and 2 are new and favorites. You want to know the number that are neither new nor favorite.

The number of new toys includes (new and favorite) and (new and not favorite). That is ...

  15 = 2 + new and not favorite

So ...

  new and not favorite = 15 -2 = 13

Likewise, the number of favorite toys includes (new and favorite) and (not new and favorite). That is ...

  9 = 2 + not new and favorite

  not new and favorite = 9 -2 = 7

The total of 50 toys includes ...

  total = (new and favorite) + (new and not favorite) + (not new and favorite) + (not new and not favorite)

  50 = 2 + 13 + 7 + (not new and not favorite)

Then the number of (not new and not favorite) is ...

  not new and not favorite = 50 -2 -13 -7 = 28

These are the toys that Ben gives away.

Ben gives away 28 toys.

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If Raj was getting a 5% commission, he would make 24000 * 5% = $<<240005.01=1200>>1200 on $24,000 of sales.

If he is now getting a 6.5% commission, he will make 24000 * 6.5% = $<<240006.5.01=1560>>1560 on $24,000 of sales.

Thus, Raj will make 1560 - 1200 = $<<1560-1200=360>>360 more on $24,000 of sales with his new commission rate of 6.5% than he did with his old commission rate of 5%.

Answer:

Volume of rectangular prism = 10/9 inch³

Step-by-step explanation:

Given:

Size of each cube = 1/3 inch

Find:

Volume of rectangular prism

Computation:

Length of rectangular prism = 2 x [1/3]

Length of rectangular prism = 2/3 inch

Width of rectangular prism = 3 x [1/3]

Width of rectangular prism = 3/3

Width of rectangular prism = 1 inch

Height of rectangular prism = 5 x [1/3]

Height of rectangular prism = 5/3 inch

Volume of rectangular prism = Length x Width X Height

Volume of rectangular prism = [2/3] x [1] x [5/3]

Volume of rectangular prism = 10/9 inch³

Answer:

5q + 9

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

It models exponential growth

Step-by-step explanation:

Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.

Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.

Answer:

it would be the graph with the maximum (opening down) in the first photo with the top on the left side of the y axis

Answer:

[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]

Step-by-step explanation:

The question is not properly formatted.

Given

[tex]f(x) = x^3 - x^2 - 5x - 3[/tex]

[tex]g(x) =x + 3[/tex]

Required

[tex](\frac{f}{g})(x)[/tex]

This is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

So, we have:

[tex](\frac{f}{g})(x) = \frac{x^3 - x^2 - 5x - 3}{x + 3}[/tex]

Factorize the numerator: using a calculator

[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]

The number of times 5×10³ greater than 15×10⁹ is 3×10⁶.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Given that, 15×10⁹ and 5×10³.

Number of times 5×10³ greater than 15×10⁹ is

Now, 15×10⁹/5×10³

= 3×10⁶

Therefore, 3×10⁶ times 5×10³ greater than 15×10⁹.

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Answer:

x = 73.3

y = 46.2

Step-by-step explanation:

Reference angle (θ) = 39°

Adjacent = 57

Hypotenuse = x

Opposite = y

Recall: SOHCAHTOA

✔️To find x, apply CAH:

Cos θ = Adjacent/Hypotenuse

Plug in the values

Cos 39° = 57/x

x × Cos 39° = 57

x = 57/Cos 39°

x = 73.3 (nearest tenth)

✔️To find x, apply TOA:

Tan θ = Opposite/Adjacent

Plug in the values

Tan 39° = y/57

57 × Tan 39° = y

y = 46.2 (nearest tenth)

Answer:

P = 59/5

Step-by-step explanation:

The error in the work lies in line 3 where the square root is calculated inaccurately.

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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Explanation:

You have a right triangle with legs of 11 and 60. The hypotenuse is unknown.

Use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\11^2 + 60^2 = c^2\\\\121 + 3600 = c^2\\\\3721 = c^2\\\\c^2 = 3721\\\\c = \sqrt{3721}\\\\c = 61\\\\[/tex]

The ramp is exactly 61 inches long.

The given drug experiment is an example of observation.

There are three major types of statistical studies :

Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.

Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.

Therefore, the given drug experiment is an example of observation.

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Answer:

A

Step-by-step explanation:

Answer

1/2

Step-by-step explanation:

Answer:

18, 12

Step-by-step explanation:

Assuming this is follow-up from the previous question you asked? If not, I apologize for misunderstanding.

Dilation factor by 3 is bigger than 1 = Expansion

Originally 6, 4

6*3 = 18

4*3 = 12

Answer:

18,12

Step-by-step explanation:

W (1, -2), X (7,-2), Y (7,-6), and Z (1, -6).

To dilate the shape, multiply it's coordinates by the scale factor.

W'(3,-6), X'(21,-6), Y'(21,-18), Z(3, -18)

The distance formula: [tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

plug W'(3,-6) and X'(21,-6) in to get the length

[tex]\sqrt{(3-21)^2+(-6-(-6))^2}=\sqrt{(-18)^2 +0^2}=\sqrt{324} =18[/tex]

plug X(21,-6) and Y(21,-18) to get the width

[tex]\sqrt{(7-7)^2+(-2-(-6))^2}=\sqrt{0^2 +4^2}=\sqrt{16} =4[/tex]

[tex]\sqrt{(21-21)^2+(-6-(-18))^2}=\sqrt{0^2 +12^2}=\sqrt{144} =12[/tex]

Answer:

i think it would be d

Step-by-step explanation:

the median is just the middle of the numbers, it doesnt say which is the hardest question though

hope this helps.

Answer:

a) Combination of 5 out of 30:

b) Combination of 2 males:

Combination of 3 females:

The number of ways with 2 males and 3 females:

c) Required probability is:

Answer:

A

Step-by-step explanation:

multiple lines meeting at 90 degrees. hope this helped

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²