Choose the inequality that represents the following graph ​

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

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Answer:

1.6%

Step-by-step explanation:

Solve for r

40,000=(2,500,000)(r/100)(1)

40,000=(25,000)r

r=40,000/25,000

r=1.6

Answer:39.6x + 26.4

Step-by-step explanation:

length=3x+2

Width=13.2

area of rectangle=length x width

area of rectangle=(3x+2) x 13.2

area of rectangle=13.2(3x+2)

area of rectangle=39.6x + 26.4

Answer:

39.6x + 26.4

Step-by-step explanation:

13.2 (3x + 2)

Multiply each term in the parentheses by 13.2.

13.2 × 3x + 13.2 × 2

Multiply the numbers.

39.6x + 13.2 × 2

39.6x + 26.4

39.6x + 26.4

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Answer:

V^2 - 11/8

Step-by-step explanation:

8(V^2 - x) =11

V^2 = 11/ 8 + X

X= V^2 - 11/8

Answer:

x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Step-by-step explanation:

Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11

Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]

Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Answer:

D: 8 and 2 and then 8 and 6.

Step-by-step explanation:

Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.

Answer:

[tex]\widehat{GF}=49[/tex] degrees

Step-by-step explanation:

In the figure attached, EG is the diameter of the circle and a point F is located on the circle.

Measure of [tex]\widehat{GF}[/tex] = 8.5 inches

Radius HF = 10 inches

Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]

θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]

  = 48.7°

  ≈ 49°

Since central angle = measure of the intercepted arc

Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.                                  

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

Answer:

= 1696m^3

Step-by-step explanation:

V = πr²h

= 3.14 x 6 x 6 x 15

= 3.14 x 540

= 1695.6 m^3

= 1696m^3

Answer:

Correct answer is [tex]C)\ 254\ m^{2}[/tex]

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]

Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].

Answer:

true

Step-by-step explanation:

.

Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

These aren't too hard -- you should really try to do them yourself.

The upper triangle has base 2+2=4 and height 3.2.  The lower one has base 4 and height 4.  Of course the area of a triangle half base times height.

Area = (1/2) 4(3.2) + (1/2)(4)(4) = 2(7.2) = 14.4

Answer: 14.4 sq ft

Answer:

still need help

Step-by-step explanation:

Answer:

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Step-by-step explanation:

Given:

DeAndre calculated the volume of the cuboid in three ways:

V= 12.5

V= 15.4

V=20.3

To find: what the 12 and the 5 represent in the figure

Solution:

Volume of cuboid is equal to length × breadth × height

or Area of the base of cuboid × height

Length = 4 units

Breadth = 3 units

So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units

Height of cuboid = 5 units

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

Answer to the perimeter

2 x (5 + 13)

Answer:

2 x (5+13)

Step-by-step explanation:

To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

Answer:

I am not I understand the game but

1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit

2. 4 divides with 216 and 8 and single digit similar to 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

Answer:

a) Mean = $1,595.83

b) Median = $1,675

c) Mode = $1,950

d) Midrange = $1,475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Step-by-step explanation:

The data set for selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine.

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

a) Mean

The mean is the sum of all the variables in the distribution divided by the number of variables.

Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12

= (19,150/12) = $1,595.83

b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.

Arranging this dataset

1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950   

The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700

Median = (1650+1700)/2 = $1,675

c) Mode

The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.

Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950

d) Midrange

The midrange is given mathematically as

Midrange = [(Highest variable) + (lowest variable)] ÷ 2

Highest variable = 1950

Lowest variable = 1000

Midrange = (1950+1000)/2 = $1475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Hope this Helps!!!

Answer:1/2

Step-by-step explanation:

It is 1/2 because 50 percent is the aquarium and the other 50 percent is unknown.

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

Answer:

What about it? If you need to know how much that is per km, it would be about $2.27 per km

Step-by-step explanation:

Answer:

X=1

Step-by-step explanation:

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

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Answer: 12

Step-by-step explanation: 35 - 23

Answer:

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Step-by-step explanation: