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2 years ago

The ratio of frogs to swans is 2:6. What is the ratio of swans to the total number of animals.

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

3 0

Answer:

6:8

Step-by-step explanation:

2:6 to find the total number of animals add the numbers 2+6=8

since there are 6 swans

6:8

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allochka39001 [22]

$\bf \cfrac{zz}{4} + 5\geqslant 5.5\implies \stackrel{\textit{subtracting 5 from both sides}}{\cfrac{zz}{4}\geqslant 0.5}\implies \stackrel{\textit{multiplying both sides by 4}}{zz \geqslant 2}$

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3 years ago

Hello, happy Friday, I am just here with some geometry questions.

irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

$\displaystyle \frac{55}{33}=\frac{72}{VW}$

Simplify:

$\displaystyle \frac{5}{3}=\frac{72}{VW}$

Cross-multiply:

$216=5VW$

So:

$\displaystyle V=\frac{216}{5}=43.2$

3 0

2 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

Please someone check how much questions I ask for this please someone help it’s really late we’re I am and I stay every night as

lesya692 [45]

i don't now all of them but

3.is "A"

4.is "C"

* By definition, the sum of the interior angles of a triangle is 180 degrees.

* Keeping this in mind, you have:

As you can see, the sum of the other two angles must be 108 degrees, then, let's add the angles given in each option:

A) 9°+9°=18

B) 26°+46°=72°

C)53°+55°=108°

D)72°+108°=180°

*Therefore, the answer is option C.

5.is "B"

A triangle is called a right triangle when one of it's angles measures 90°.

We have been given the second angle as 14°.

The angles in a triangle add up to 180°.

∴ letting the third angle to be X;

X + 14° + 90° = 180°

X + 104° = 180°

X = 180° - 104°

= 76°

7. the answer is "B"

A = 41 * 14 / 2

A = 574 / 2

A = 287 cm²

So, the area of the trapezoid is 287 cm².

9. is "B"

Area = base x height

Or 356.25=14.25 x Height

Dividing both sides by 14.25

Height =25inches

.Height of the parallelogram is 25 inches. the answer is "B"

10.is "B"

the sum of any 2 sides of a triangle must be greater than the third side

3 0

2 years ago

Please explain how to do this

Alina [70]

I’m guessing you just have to multiply all the sides together and divide

5 0

1 year ago