In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who take History. There are 10 that take Geometry and French, 7 that take History and French and 15 that take Geometry and History. There are 2 students who take all 3 and 5 that take none of these subjects.

Answers

Answer 1

Answer:

58 students

Step-by-step explanation:

Given

[tex]Total = 85[/tex]

[tex]French = 27[/tex]

[tex]Geometry = 51[/tex]

[tex]History = 38[/tex]

[tex]None = 5[/tex]

[tex]All = 2[/tex]

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

[tex]x + 7 -2+10-2+2=27[/tex]

[tex]x + 15=27[/tex]

Collect like terms

[tex]x =- 15+27[/tex]

[tex]x =12[/tex]

For Geometry only (y), we have:

[tex]y+10-2+15-2+2=51[/tex]

[tex]y+23=51[/tex]

Collect like terms

[tex]y=-23+51[/tex]

[tex]y=28[/tex]

For History only (z), we have:

[tex]z +15-2+7-2+2=38[/tex]

[tex]z +20=38[/tex]

Collect like terms

[tex]z =-20+38[/tex]

[tex]z =18[/tex]

Students with one subject is then calculated as:

[tex]1\ subject = x+y+z[/tex]

[tex]1\ subject = 12 + 28 + 18[/tex]

[tex]1\ subject = 58[/tex]

In The Itty Bitty High School, There Are 85 Students. There Are 27 Students Who Take French, 51 Who Take

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Which of the below is the correct name for a plane that contains points A, B, C, and D?
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Answer:

 

Step-by-step explanation:

Choose the correct order when finding the space between the cylinder and cone. I find the difference of the volumes Il find the volume of the cone III. find the volume of the cylinder​

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Answer:

D. III, II, then I

Step-by-step explanation:

To find the space between the cylinder and the cone, the first thing to do is: find the volume of the cylinder => next is to find the volume of the cone => then look for the difference in volume between the cylinder and the cone which will give us the space between the cylinder and the cone.

The correct order would be:

III, II, then I

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Answers

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

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Answers

9514 1404 393

Answer:

x = 87°vertical angles

Step-by-step explanation:

The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.

As such, they are congruent, so x = 87°.


Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know

Answers

Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

HELP QUICK PLZ! NO SPAM.

XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?

Answers

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

evaluate the expression for x = 6
3 x + 5 =​

Answers

Answer:

23

Step-by-step explanation:

6x3=18

18+5=23

Answer

this is wrong

Step-by-step explanation:

this is an equation not an expression. Equations have = and expressions dont. Please rewrite this and I will help.

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9514 1404 393

Answer:

  -3, 7, 8

Step-by-step explanation:

You can fill in the boxes from the table values as shown in the attachment.

The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.

The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.

Answer:

-3, 7, 8

Step-by-step explanation:

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If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

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If x = -3 and y = 4 find the value of : x(3x + 4y)

Answers

Answer:

-21

Step-by-step explanation:

(−3)((3)(−3)+(4)(4))

=(−3)((3)(−3))+(−3)((4)(4))

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A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
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Answers

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

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Step-by-step explanation:


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Answers

12 ft

Step-by-step explanation:

6 ft+3 ft+3 ft=12 ft

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A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls

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Answer:

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Please help me with this Math question.
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Answers

Answer:

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Find the area of the composite figure.
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B. 171.5 sq ft
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Answers

Answer:

I think B is your answer if so then comment me and you can mark me as brainliest and please follow me

14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y​

Answers

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

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Enter an integer to represent the situation.


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Answers

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

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Answers

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Perimeter = 14 * 4 = 56Area = 14² = 196

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Answer:

cjones8806

Virtuoso

38 answers

183 people helped  

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Step-by-step explanation:

green box?

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Answers

Answer:

12x2-12x-144 thats the answer

Step-by-step explanation:

The heights of 4 different people are: 1.55m, 1.52m, 1.81m, and 1.91m. The range of these
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Answers

the answerr would be 0.39 cm

What is the sum of the first ten terms in a geometric series
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6 and r = 2?

Answers

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

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Answers

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]

[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]

x = 14

y = 60°

What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft​

Answers

Answer:

134

Step-by-step explanation:

g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

Answers

Answer:

The point estimate is 0.342.

Step-by-step explanation:

Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.

This means that:

[tex]p_B = \frac{145}{304} = 0.477[/tex]

On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.

This means that:

[tex]p_{NB} = \frac{20}{148} = 0.135[/tex]

a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

The point estimate is the subtraction of the sample proportions. So

[tex]p = p_N - p_{NB} = 0.477 - 0.135 = 0.342[/tex]

The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.

5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.

Answers

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

Ill do anthing please help!!

Answers

Answer: 2π ft^2

Step-by-step explanation:

Area of a circle= π x the radius ^2

here your diameter is 4, and the radius is equivalent to half of the diameter so your radius equals 2.

A= π x 2^2

your answer will be the first one
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