* GEOMETRY

please help me show the work for 9, 10, and 11!!

The difference between Palomas and Antons' points on the English test is of 14 points.

When two numbers can be written in the form as p:q , they are said to be in Ratio.

It is given that

The ratio of Michaels point to Paloma point is 12 :11

The ratio of Michaels point to Anton's Point is 4:3

Let Paloma's point be x

then Michaels point will be 12x/11

and Anton's points will be

(12x/11 ) / Anton's points = 4 /3

Anton's points = 9x/11

It is given that the sum of the points of the three students is 224

so

x + (12x/11)+ (9x/11) = 224

32x /11 = 224

x = 77

Paloma's points = 77

Anton's Points = 9x/11 = 63

The difference between Palomas and Antons' points on the English test

=77 -63

= 14 points.

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Answer:

fraction:4/10 or 2/5

decimal: 0.4

percent: 40%

Step-by-step explanation:

The rectangle is divided into 10 parts, this is a total number that goes on the bottom of a fraction. 4 parts are shaded, that number goes on the top of the fraction.

4/10 is shown in the image. But 4/10 can be reduced. You should always simplify a fraction when it is possible.

4/10 = 2/5

As for the decimal, 4/10 spoken, "four tenths" tells you the decimal 0.4 (we all say "point four", but this is properly called "four-tenths" also) You can divide, because a fraction bar is a division symbol:

4÷10 OR 2÷5 and you will get the decimal 0.4

To change the decimal to a percent, multiply by 100.

0.4 × 100 is 40

0.4 is 40%

fraction:: 4/10 or 2/5 (simplified)

decimal: 0.04

percentage: 4%

The area of the deck that surrounds the hot tub is 17.93 m²

The area is the amount of space within the perimeter of a 2D shape.

radius = 3/2 = 1.5 m

Area of deck,

=Area of square - area of circle

= side side- πr²

=5*5 - 3.14* 1.5*1.5

= 25- 7.065

=  17.93 m²

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The other name for angle 2 is ∠DBC

The correct option is (D)

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

We know that while naming the angle we have to consider the point where the angle is made should be at center.

Hence, the angle 2 can also be written as ∠DCB.

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Answer:

D. 4

Explanation:

Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.

As section 4 is curved, it show nonlinear relationship.

Answer:

integers include negative numbers, whole numbers are only 0 and positive numbers.

Step-by-step explanation:

whole numbers are very similar to integers as they do not have a decimal place although whole numbers are from 0, 1, 2, 3.... and so on whereas integers include negative numbers as well. So all whole numbers are integers but not all integers are whole numbers.

Answer:

A

Step-by-step explanation:

y = - 2x + 5 → (1)

y = x² + 3x + 9 → (2)

substitute y = x² + 3x + 9 into (1)

x² + 3x + 9 = - 2x + 5 ( subtract - 2x + 5 from both sides )

x² + 5x + 4 = 0 ← in standard form

(x + 1)(x + 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

substitute these values into (1) for corresponding values of y

x = - 1 : y = - 2(- 1) + 5 = 2 + 5 = 7 ⇒ (- 1, 7 )

x = - 4 : y = - 2(- 4) + 5 = 8 + 5 = 13 ⇒ (- 4, 13 )

Answer:

30

Step-by-step explanation:

4 cups x 60 hours a min x 2 hours of lunch ÷ 16 cups per gallon = 30 gallons

The answer is 30 gallons.

Firstly, convert the hours to minutes so you know how many minutes you're working with. 2*60=120 minutes.

Then, multiply 120 with 4 to get the number of tea (in cups) that is poured. 120*4=480 cups.

Finally, divide 480 cups with 16 cups to find out the number of gallons poured. 480/16 equals 30 gallons.

Hope this helped.

Answer:

D

Step-by-step explanation:

The volume of a cylinder is pi * r^2 * h

A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2

B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2

C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2

D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2

Answer:

(-2,-9)

(-1,8)

(0,-5)

(1,0)

(2,7)

Step-by-step explanation:

Answer:

Maths is the subject which deals with numbers, calculations, areas, geometry etc

Various topics in maths are

trigonometry

geometry

airthmatic

etc

Answer:

x • (2xt + 7y)

Step-by-step explanation:

1. ((5xy-((x2)•t))+2xy)+(3x2•t)

2. Pull out like factors :

  2x2t + 7xy  =   x • (2xt + 7y)

Final result

x • (2xt + 7y)

Answer:

[tex]7xy + {x}^{2} t[/tex]

Step-by-step explanation:

[tex](5xy + 2xy) + ( - 2 {x}^{2} t + 3 {x}^{2}t) [/tex]

This is not a syllogism. Hence option B is correct.

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without a given statement.

You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.

Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism

Hence option B is correct.

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Answer:

This is not a syllogism

Step-by-step explanation:

I took the quiz. :)

Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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The value of the expression Z² + Q² is 4321

The radius of the chocolate spheres is given as:

r = 2

The maximum number of chocolates that can fit in a spherical capsule is calculated as:

Max = R³/r³

Where:

R represents the radius of the sphere.

For the spherical capsule whose radius is 8 inches, we have:

Z = 8³/2³

Evaluate

Z = 64

For the spherical capsule whose radius is 5 inches, we have:

Q = 5³/2³

Evaluate

Q = 15.625

Remove decimal

Q = 15

So, we have:

Z² + Q² = 64² + 15²

Evaluate the exponent

Z² + Q² = 4096 + 225

Evaluate the sum

Z² + Q² = 4321

Hence, the value of Z² + Q² is 4321

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Answer:

c: -7

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original line

a way to find this is to flip the numerator and the denominator of a slope and make it negative

1/7 --> 7 --> -7

that would be your slope

Answer:

8

Step-by-step explanation:

To one decimal place:

[tex]2 \sqrt{10} = 6.3[/tex]

[tex]10 \sqrt{2} = 14.1[/tex]

So there are eight integers between 2√10 and 10√2: 7, 8, 9, 10, 11, 12, 13, and 14.

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A [tex]\cap[/tex] B) = P(A) P(B)

In this problem, the events are:

Out of the 1000 people, 450 are female, hence:

P(A) = [tex]\dfrac{450}{1000}[/tex] = 0.45

850 earn over $50,000, hence:

P(B) = [tex]\dfrac{850}{1000}[/tex] = 0.85

375 are women who earn over $50,000, hence:

P(A [tex]\cap[/tex] B)  = [tex]\dfrac{375}{1000}[/tex] = 0.375

The multiplication of the probabilities is:

P(A [tex]\cap[/tex] B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

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Answer:

( -10.5 , 0 ) and ( 0 , -21 )

Step-by-step explanation:

→ Determine where a line intersects

x and y intercept

→ Set x equal to 0 to find y - intercept

( 0 , -21 )

→ Set y equal to 0 to find x intercept

0 = -2x - 21

→ Add 21 to both sides

21 = -2x

→ Divide both sides by -2

-10.5 = x

The number of boys signed up to play basketball this year is 560.

Given that, the number of boys who played basketball last year = 320.

We need to find the number of boys signed up to play basketball this year.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.

So, the number of boys signed up to play basketball this year = 175% of 320

[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]

Therefore, the number of boys signed up to play basketball this year is 560.

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Answer:

Mark will use 1.25 pounds of pork.

Step-by-step explanation:

Let b represent the number of pounds of pork and p represent the number of pounds of beef. Since the ratio of beef to pork is 3 to 1, we have b/p = 3/1, which then becomes b = 3p. From this:

[tex]3p + p = 7[/tex]

[tex]4p = 7[/tex]

[tex]p = 1.75[/tex]

[tex]b = 3 \times 1.75 = 5.25[/tex]

The answer is 45


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Answer:

i. {1,2,3,4,5,6,7,9}

ii. {1,3,5}

iii. {1,2,3,4,5,6,8,10}

Step-by-step explanation:

U= {1,2,3,4,5,6,7,8,9,10}

A= {1,3,5,7,9}

B= {1,2,3,4,5,6}

A U B = {1,2,3,4,5,6,7,9}

A n B = { 1,3,5}

A (prime) U B =

A(prime)= {2,4,6,8,10}

Therefore A(prime)= {1,2,3,4,5,6,8,10}

By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

In this case we have a linear variable x, whose increase is described by the following expression:

y = x · (1 + r/100)     (1)

Where r is the increase rate.

If we square (1), then we find that:

y² = x² · (1 + r/100)² = (1 + r'/100)     (2)

Where r' is the equivalent increase rate.

(1 + r/50 + r²/10000) = (1 + r'/100)

r'/100 = r/50 + r²/10000

r' = r/2 + r²/100

If we know that r = 25, then the equivalent increase rate is:

r' = 25/2 + 25²/100

r' = 18.75

By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

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Answer:

10√7

Step-by-step explanation:

you can simplify the second radical and break it up into

√4 * √7 which then simplifies to 2√7 which you then multiply by 3. 4√7 + 3(2√7) which becomes 4√7 + 6√7 and then you just add the numbers Infront to get 10√7

For the spider man the discount is of rs600, for the doll the discount is of rs1,000.

We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.

So the amount of discount for that toy is the 20% of rs3,000, which gives:

(20%/100%)*rs3,000 = rs600

So the amount discounted for the spider-man is rs600.

For the case of the doll, we know that its cost is rs5,000, the amount discounted is:

(20%/100%)*rs5,000 = rs1,000

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The total tax rate and the sales tax will be given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).

The table complete table is given below.

Item                            TSP            STR        CTR           TTR              ST

Clothing                     $81.39            3%        0%            3%            $2.44

Cell phone               $159.95           5%        0%            5%            $7.99

MP3 player               $195.55          4%         2%            6%           $11.73

Computer                $1599.75      4.88%     1.50%       6.38%      $102.06

Take-out                   $49.85         8.13%    2.50%      10.63%        $5.29

Pickup truck          $38,526.42    6.50%    1.25%        7.75%     $2985.79

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