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2 years ago

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to start?

Mathematics

2 answers:

Yuri [45]2 years ago

7 0

Answer:

6 hearts to 9 stars

Step-by-step explanation:

Ad libitum [116K]2 years ago

3 0

Answer:

I believe it would be 6 hearts to 9 stars

Step-by-step explanation:

explanation #1

4 hearts to 6 stars can be reduced, which makes 2 hearts to 3 stars. so you go from 2 hearts : 3 stars to 4 hearts : 6 stars then you would get to 6 hearts : 9 stars.

explanation #2

4:6 can be reduced which equals 2:3. the difference between 2 and 4 is 2 and the difference from 3 and 6 is 3. so 6:9 would be after 4:6

hopefully this helps!

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One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

3 years ago

How do I solve this

NemiM [27]

Old - new is 1 so than after that it would be 1/5 than 1/5 x 100 = 20%

6 0

3 years ago

See the picture below!!

Darya [45]

Answer:

Q1) x = 17.3

y = 8.7

Q2) d = 19

Step-by-step explanation:

Question 1

Angle = 60°

Hypotenuse = x

Adjacent = y

Opposite = 15

Step 1: Find x

Sin (angle) = opposite/hypotenuse

Sin (60°) = 15/x

x = 10√3 = 17.3

Step 2: Find y

Tan (angle) = opposite/adjacent

Tan (60°) = 15/y

y = 5√3 = 8.7

Question 2

Step 1: Find the diagonal of the base

c² = a²+b²

c² = 6² + 10²

c = 2√34 = 11.7

Step 2: Find diagonal d

c² = a² + b²

d² = 11.7² + 15²

d = 19

7 0

3 years ago

Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x + 2 = -3

Juli2301 [7.4K]

Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
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                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
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3 years ago

9782 divided by 67 step by step Long division

Ipatiy [6.2K]

Here you go . 146 is the answer with the work shown.

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3 years ago