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Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below.

Answer:

Alloys...................................

Answer:

[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]

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Answer:

x = 2

3 (x-6) = -12

3x - 18 = -12

3x - 18 + 18 = -12 + 18

3x = 6

3x/3 = 6/3

Hence,  x= 2

Step-by-step explanation:

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hope it helps u

Answer:

A. 17

Step-by-step explanation:

The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91

(5x + 6) = 5x + 6

5x + 6 = 91

5x + 6 - 6 = 91 - 6

5x = 85

5x / 5 = 85 / 5

x = 17

Answer:

x = 26

Step-by-step explanation:

[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]

Answer:

x = 26, x = 16.

Step-by-step explanation:

(x - 21)² = 25

Expand the factor.

(x - 21)(x - 21) = 25

Multiply using FOIL.

x² - 42x + 441 = 25

Subtract 25 from both sides.

x² - 42x + 416 = 0

Factor.

(x - 26)(x - 16) = 0.

Set both expressions to 0 and solve.

x - 26 = 0

Add 26 to both sides.

x = 26

x - 16 = 0

Add 16 to both sides.

x = 16

Answer:B

Step-by-step explanation:

The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 2x² - 20x - 5

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The function f (x) = 4x² – 20x describes the café's total annual income. And, The function C(x) = 2x² + 5 describes the total amount the café spends in a year.

Hence, The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 4x² - 20x - 2x² - 5

⇒ P (x) = 2x² - 20x - 5

Thus, The value of P(x) the difference between the annual income and the amount spent in a year is,

⇒ P(x) = 2x² - 20x - 5

Learn more about the subtraction visit:

https://brainly.com/question/17301989

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Answer:

64°

Step-by-step explanation:

sin(x) = 17/19

take inverse sine of 17/19: [tex]sin^{-1}(17/19)[/tex] = 63.475°

they want to the nearest whole degree, so it would be ≈ 64°

Answer:

i thought i have answered this question b4

Answer:

14

Step-by-step explanation:

subtract 11 each time.

Answer:

14

Step-by-step explanation:

Because look at the pattern they subtrat from 11

Answer:

El valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

Step-by-step explanation:

Para encontrar el valor que debes pagar en un mes para saldar la deuda, debes calcular el 8% del valor que te prestaron y este sería el monto de los intereses. Después, debes sumarle esta cantidad al valor que te prestaron:

monto del préstamo= 3500

3500*8%=280

3500+280=3780

De acuerdo a esto, la respuesta es que el valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

Answer:

120 sq ft 1/2 x b x h

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

[tex]\frac{52887}{9900}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 21 placed after the decimal point.

let x = 5.34212121 ( multiply both sides by 100 and 10000 )

100x = 534.2121... → (1)

10000x = 53421.2121... → (2)

Subtract (1) from (2) thus eliminating the repeating 21

9900x = 52887 ( divide both sides by 9900 )

x = [tex]\frac{52887}{9900}[/tex]

Answer:

[tex]\frac{43}{9}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 7 placed after the decimal point.

let x = 4.7777... → (1)

Multiply both sides by 10

10x = 47.7777.... → (2)

Subtract (1) from (2) thus eliminating the repeating 7

9x = 43 ( divide both sides by 9 )

x = [tex]\frac{43}{9}[/tex]

Answer:

123 cm^2

Step-by-step explanation:

for the rectangles its

#1     5(4)=20 cm^2

#2    5(7)= 35 cm^2

#3     5(8) = 40 cm^2

for the triangles its

4(7)(.5)(2)= 28 cm^2

4(7)= 28 cm^2

I get the .5 from the triangle area formula

and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.

in the end you add them all up which is 20+35+40+28 = 123 cm^2

Answer:

1114 ft

Step-by-step explanation:

tan 22°=450/d

==>d=450/tan 22°=1113.7890... ≈1114 (ft)

Answer:

[tex]h_t=9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of child [tex]h_c=3ft[/tex]

Height of child's shadow  [tex]h_c_s=2ft[/tex]

Height of tree's shadow [tex]h_t_s=6ft[/tex]

Since position of Sun remains constant  

Generally the equation for Height of tree h_t mathematically given by

 [tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]

 [tex]h_t=6*\frac{3}{2}[/tex]

 [tex]h_t=9ft[/tex]

Answer:

they would measure 74 meters

Answer:

16,384π/3

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)π(16³)

V = 16,384π/3

Answer:

Step-by-step explanation:

Equation

V = (4/3) pi r^3

Givens

r = 16

Solution

V = (4/3) pi 16^3

V = (1.3333) * 3.14 * 4096

V = 171148.5

None of those answers agree with mine. Are those the real choices?

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

Answer:

I think A ................

Answer:im so sorry but i cant see the page you should take a more clear picture and send it again

Step-by-step explanation:

Answer:

\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}

cscN= opposite

         hypotenuse = 24/25

​

Step-by-step explanation:

Answer: I would say 50%

Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.

Answer:

I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.

Step-by-step explanation:

I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.

Answer:

20ft.

Step-by-step explanation:

The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.

Answer:

Right rectangle.

Step-by-step explanation:

The rectangle will be a right rectangle only if the opposite sides are parallel to each other.

This means that RQ should be parallel to ST

And RS should be parallel to QT

Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.

Remember that the slope relates to how a change in the x-value makes a change in the y-value.

Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.

So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.

Let's start with segments QR and TS

First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.

In the graph, we can see that R is 3 units above and one unit to the right of Q.

Now let's do the same for the other segment:

In the graph, we also can see that S is 3 units above and one unit to the right of T.

So these two lines will have the same slope:

Only with this, we can conclude that sides QR and TS are parallel.

Now with the other two segments: RS and QT.

Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.

For the segment QT, we can see that T is 4 units at the right and one unit below Q.

So segments RS and QT have the same slope, thus, the segments are parallel.

Then we can conclude that this is a right rectangle.

Answer:

[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]

simplifies to

[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]

no solution

Answer

SpongeBob:$64000

Patrick:$40000

Mr.Krabs:$136000

Step-by-step explanation:

8+5+17=30

Spongebob=(8/30)*$240000=$64000

Patrick=(5/30)*$240000=$40000

Mr.Krabs=(17/30)*$240000=$136000