Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?

A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47

Given:

A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.

To find:

The value of x.

Solution:

From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.

Length of altitude = 18

If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.

By using geometric mean theorem,  we get

[tex]18=\sqrt{x\times 8}[/tex]            [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]

[tex]18^2=8x[/tex]

[tex]324=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{324}{8}=x[/tex]

[tex]40.5=x[/tex]

Therefore, the value of x is 40.5.

Answer:

[tex]m=6+2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

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;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

Learn more about the subtraction visit:

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Answer:

Her cake should be 495 grams

Answer:

Step-by-step explanation:

see calculate bro 3 = 100%

1.5 is 50%

0.50 is then 25%

Answer:

Step-by-step explanation:

44b-33

Answer:

17 gallons.

Step-by-step explanation:

was this a trick question

Answer:

2.83 3 repeating

Step-by-step explanation:

Answer:

The amount is 8,322

Step-by-step explanation:

To get this , we are going to use the compound interest formula

A = P( 1 + r/n)^nt

A is the amount we are calculating

P is the amount deposited = 6,500

r is the interest rate = 5% = 5/100 = 0.05

n is the number of times per year the interest is compounded

= 2 since it is semi-annually

t is the number of years = 5

Substituting these values, we have it that ;

A = 6,500(1 + 0.05/2)^10

A = 6,500(1.025)^10

A = 8,322

The equations best verifies the reasonableness of the solution will be log₃ 2187 = 7 and log₃ (3⁷) = 7. Then the correct options are A and E.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The equation is given below.

log₃ x = 7

Take anti-log on both side, then we have

x = 3⁷

x = 2187

Then the equation is satisfied by 2187. Then we have

log₃ 2187 = 7

  log₃ (3⁷) = 7

Then the correct options are A and E.

The complete question is attached below.

More about the logarithm link is given below.

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Answer:

Step-by-step explanation:

728 answer is C

Answer:

15x+8=180-97 , solve for x and u shall get the answer

Answer:5

Step-by-step explanation:

Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Given function:

Subtract the two fraction:

Therefore, the fraction that is left would be 1/4..

Answer:

33.75

Step-by-step explanation:

The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.

It is required to find the volume of the prism.

It is defined as a three-dimensional space enclosed by an object or thing.

We have 5 feet tall prism ie.

height of the prism h = 5 feet

and base b = 3/2 feet

and length = 9 feet

We know the volume of the right triangle prism is given by:

[tex]\rm V = \frac{b\times h\times l }{2}[/tex]

Putting the values of b, h, and l, we get:

[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]

V = 33.75 cubic feets

Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

Learn more about the volume here:

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Answer:

3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²

x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Step-by-step explanatation:

Let's set unknown variables as y (and y₁, y₂, etc)

Question 1:

y *  (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

So, divide both sides by (6x² + 4x - 8)

y = 3x²

Question 2:

2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '

Divide both sides by 2x.

(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x

y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12

Question 3:

x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

Divide both sides by (18x² + 12x - 24)

x^y = x²

Question 4:

y₁  * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Divide both sides by (3x² + 2x - 4)

y₁  * x^y₂ = 6x²

y₁ = 6, y₂ = 2

I hope this helps! Feel free to ask any questions!

Answer:

yse

Step-by-step explanation:

bakit ano ang maitotolong

Answer:

Step-by-step explanation:

[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]

Answer:

90°

Step-by-step explanation:

We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.

Let's first find an expression for each angle.

Angle A: m<A = x + 100

Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.

Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.

Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.

(x + 100) + (x + 60) + 40 = 180

x + 100 + x + 60 + 40 = 180

2x + 200 = 180

2x = -20

x = -10

The measure of angle A is x + 100, and x = -10

m<A = x + 100 = -10 + 100 = 90

Answer: 90°

Answer:A≈254.47m²

Step-by-step explanation:

Step-by-step explanation:

A=pi(r^

[tex]\pi {r}^{2} \\ \\ diameter \: is \: 18 \: meters \\ to \: find \: the \: radius \\ divide \: diameter \: by \: 2 \\ since \: the \: radius \: is \: \\ half \: the \: diameter18 \div 2 = 9 \: meters \\ \\ \pi {r}^{2} \\ \pi( {9}^{2} ) \\ \pi(81) \\ \\ area = 81\pi[/tex]

MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 divided by 3/16 (Give me a minute to work it out)

ummmm........... 48/12 so 4

Answer:2.4 chapters

Step-by-step explanation: