What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0

Answers

Answer 1

Answer:

The solution to the proportion would be x = 17.8 which is the correct option (B).

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ5

Answer 2

Answer:

Answer: 17.8

Step-by-step explanation:

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In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line.a. congruent b. perpendicular c. parallel d. equal

Select each quadrilateral that has four congruent sides.trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square

Answers

1. Square
2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.
Happy new year, good luck with your future studies.
Mabel L.

Answer:

Rhombus rectangle and square hope i helped

Simplify this expression. Assume that y and z are both nonzero. (Question in file/picture)

Type exponential notation with positive exponents.

Answers

Hi, Braydon ! Long time no see. Hope it's all good with you.

First of all, that " -1 " exponent outside the whole thing. That means
invert everything inside. So you're really simplifying:

-21 y⁶ z⁻⁸ / 147 y⁴ z⁴

You can easily write this as the product of 3 separate fractions.
That doesn't change anything, but it makes it a lot easier to handle:

   (-21/147) x (y⁶/y⁴) x (z⁻⁸/z⁴) .

Simplify each one, then just multiply them together again.

First one: (-21/147) Divide top and bottom by 21, and it's (-1/7) .

Second one: (y⁶/y⁴) Divide top and bottom by y⁴, and it's (y²) .

Third one: (z⁻⁸/z⁴) Multiply top and bottom by z⁸, and it's (1/z¹²).

Multiply them:

   (-1/7) x (y²) x (1/z¹²) =

      - y² / 7 z¹² .

That's exactly the same thing as the original expression in the picture,
but it's a lot prettier.

Find the smallest number which must be added to the following numbers so as to make them a perfect square 4931

Answers

Answer:

110.

Step-by-step explanation

4900 = 70^2

71^2 = 5041

5041- 4931 = 110

Answer is 110

The area of a rectangle is 240 in squared. the ratio of the length to the width is 5 : 3. find the length and the width.

Answers

hey user!!

your answer is here...

given the ratio between the Length and breadth (width) of the rectangle is 5 : 3

let the Length and breadth of the rectangle be 5x and 3x approximately.

area of the rectangle = 240in²

therefore l × b = 240in²

==> 5x × 3x = 240in²

==> 15x² = 240in²

==> x² = 240/15

==> x² = 16

==> x = √16

==> x = 4in

hence, length of the rectangle = 5x = 5 × 4 = 20in

breadth of the rectangle = 3x = 3 × 4 = 12in

cheers!!

Test yourself 215) if f''(x)=6x+6 and there is a stationary point at (0,3), find the equation of the curve

Answers

Ok, so dy/dx=0 at the point (0,3) that is where x=0 and y=3.

$\int { 6x+6dx } \n \n =\frac { 6{ x }^( 2 ) }{ 2 } +6x+C\n \n =3{ x }^( 2 )+6x+C$

$\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x+C$

Now, f'(x)=0 when x=0.

Therefore:

$0=C\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x$

Now:

$\int { 3{ x }^( 2 ) } +6xdx\n \n =\frac { 3{ x }^( 3 ) }{ 3 } +\frac { 6x^( 2 ) }{ 2 } +C$

$={ x }^( 3 )+3{ x }^( 2 )+C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+C$

But when x=0, y=3, therefore:

$3=C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+3$

$f''(x)=6x+6\nf'(x)=\int 6x+6\, dx\nf'(x)=3x^2+6x+C\n\n0=3\cdot0^2+6\cdot0+C\n0=C\nf'(x)=3x^2+6x\n\nf(x)=\int 3x^2+6x\, dx\nf(x)=x^3+3x^2+C\n\n3=0^3+3\cdot0^2+C\n3=C\n\n\boxed{f(x)=x^3+3x^2+3}$

Which equation models the height, y, x seconds after firing?

Answers

i dont see any equations there

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The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving New York and arriving in Miami between November 1 and December 31, 2018, by airlines: Airlines On-Time Late Total United 254 72 326 Delta 292 65 357 American 235 58 683 Total 781 195 a. What is the probability that a randomly selected flight was Delta and was late? b. What is the probability that a randomly selected flight was United or was on-time? c. Given the flight was late, what is the probability that it was from American? d. Given the flight was from Delta, what is the probability that it was late? e. Construct a probability tree for these probabilities.