Proportional or not?
Equation=_____

Answer: 12 is 20 % of the number 60

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Re-write 20%

[tex]\frac{20}{100}[/tex]

Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have:

[tex]\frac{20}{100}[/tex] of 12 = [tex]\frac{20}{100}[/tex] x 12

The answer is:

2.4

Answer:

p = 14

Step-by-step explanation:

If at x 1/2 and y 7 this means that for x 1 y would be double 7 or 14.

Answer:(9,12).

Step-by-step explanation:

Answer:

It's 14

Step-by-step explanation:

First divide 35 by 100 then multiply by the percentage or 40 and the answer is 14

Answer:

see attached

Step-by-step explanation:

you need to create 2 right angle triangles

one on the left has 60° which makes it a special right angle triangle with the property of the following:

the side that's opposing the 30° angle will be 1/2 of the long side,

the side that's adjacent to the 30° angle will be √3/2 of the long side

once you know these, the rest is easy

Answer:

a = 5 + √69

Step-by-step explanation:

I am just providing another way of  solving this. The answer provided by user elzny is absolutely correct and probably easier to understand. He has done a great job.

We can solve for a using the law of cosines which states that given, two sides of a triangle(say a and b) and an included angle (say C), the third side, c  can be determined by the relation:

c² = a² + b² -2ab(cosC)

or

a² + b² -2ab(cosC) = c²

If we look at the triangle we see that angle C measures 60° and the two sides that include this angle are of lengths 10 and a. The third side is 12

Plugging in these values into the equation,

10² + a² - 2(10)(a)(cos 60) = 12²

100 + a² -20a(cos 60) = 144

cos 60 = 1/2

So

100 + a² - 20a (1/2) = 144

(100 - 144) + a² - 10a = 0

a² -10a -44 = 0

This is a quadratic equation which can be solved to get two values for a
The solution to this quadratic equation is done using the quadratic formula

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

where

Plugging in these values,

[tex]x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(1)(-44)}}{ 2(1) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - (-176)}}{ 2 }\\\\x = \dfrac{10}{2} \pm \dfrac{\sqrt{276}}{2}}[/tex]

Factor 276 to get 276 = 4 x 69

[tex]\sqrt{276} = \sqrt{4 \cdot 69} = \sqrt{4} \cdot \sqrt{69} = 2 \sqrt{69}[/tex]

This results in

[tex]x = \dfrac{ 10 }{ 2 } \pm \dfrac{2\sqrt{69}\, }{ 2 }\\\\x = 5 \pm \sqrt{69}\\\\[/tex]

[tex]\sqrt{69}[/tex] is greater than 5 so we take only the positive component which is
[tex]5 + \sqrt{69}[/tex]

Which is the same answer as what elzny  provided.

The pro of this methodology:
Direct implementation without splitting the triangle

The con:
You have to solve a quadratic equation which is not fun. But most scientific calculators can do this for you

Thanks!

Answer:

B. two fourths is greater than five twelfths

Step-by-step explanation:

Answer:

Step-by-step explanation:

So...let's figure a2 first

a2 / sin (45.8)  = 9 /sin C

a2 / sin (45.8) =  9 / [ sqrt (3) / 2 ]

a2 =sin (45.8) * 18 / sqrt 3  ≈  7.45

And in the second case

C = 180 -60 - 105.8   ≈  14.2°

So....by the Law of Sines again we can find a1 as

a1 / sin (14.2) = 18/sqrt 3

a1=  sin (14.2) * 18 /sqrt 3 ≈  2.55

{a1 , a2}  = {2.55 , 7.45}

Answer:

Given [tex]\frac{15}{7} + h = \frac{37}{7}[/tex]

When h = [tex]\frac{22}{7}[/tex]

[tex]\frac{15}{7} + \frac{22}{7} = \frac{37}{7}[/tex]

We add 15 and 22 on the left side, because the denominators are equivalent.

15 + 22 = 37,  [tex]\frac{37}{7}[/tex] = [tex]\frac{37}{7}[/tex]

So this statement is true.

That means the correct option is A.

Have a wonderful day! :-)

Answer: yes

Step-by-step explanation:

this is propprtional

Answer: Tyler and Elena are on the cross country team.

Tyler's distances and times for a training run are shown on the graph.

Elena's distance and times for a training run are given by the equation.

Step-by-step explanation: Represents distance in miles and

represents time in minutes.

a. Who ran farther in 10 minutes? How much farther? Explain how you know.

b. Calculate each runner's pace in minutes per mile.

c. Who ran faster during the training run? Explain or show your reasoning

To know more about equation:

https://www.numerade.com/questions/tyler-and-elena-are-on-the-cross-country-team-tylers-distances-and-times-for-a-training-run-are-show/

Answer:

B

Step-by-step explanation:

Simplify the inequality

x<26

Answer:

Don't see the picture

Step-by-step explanation:

So far I'm getting that

(According to the law of cosines):

CAB ≈ 45.793°

ABC ≈ 74.207°

BC ≈ 7.449

Answer:

1 hour - how many more hours will the tank be out of gas

Step-by-step explanation:

The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle

Distance of boat from dock after 1 hour
d = [tex]\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\;mi\\[/tex]

Speed of boat = 10mph

distance that can be traveled with 4 gallons of fuel

d = 5 mpg x 4 g = 20 miles

The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more

10 miles ==> 1 hour more at 10 mph

So additional time the boat can travel = 1 hour

I hope that helps. Tried to do my best to cut down the words

Answer:

$4.94

Step-by-step explanation:

We can first solve this by turning this sales tax percentage into a decimal

[tex]8.6\% = 0.086\%[/tex]

Now that we got that and your first answer of $57.40, we can multiply the two numbers.

[tex]0.086 \times 57.40 = 4.9364[/tex]

That rounds to 4.94

Answer:

$6.02

Step-by-step explanation:

because 8.6% of 70

Answer:

mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(ounces) = 50(calories)

he drinks 8(ounces)

witch is 50 + 50 = 100

Answer: 40 pages per hour.

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

0.75 = 75/100

75/25 = 3

100/25 = 4

Therefore, 0.75 = 3/4

Answer: hope this helps ♡

¾ is equivalent to 0.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Foremost sum could Be a = $250.09 Principal sum is B = $400. Account B earned you the foremost intrigued the first​ month The equation for straightforward intrigued is communicated as I = PRT/100 Where P = the central or starting sum of cash invested. R = intrigued rate T = time

On account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years.

On account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

To decide the account that earned more intrigued within the to begin with month we separate the intrigued by the number of months.

$6.94/9 = $0.7711

$13.80/18 = $0.7667

Account B earned you the foremost intrigued the first​ month since $0.7667 is higher than $0.7711.

hoped this helped :-)

Answer: The algebraic expression for c multiplied by 4, all divided by 7 lots of d is given by:

(4c) / (7d)

Step-by-step explanation:

Answer:

Because:

[tex]1 \: liter = 1000 \: milliliters[/tex]

Therefore to change from litres milliliters we multiply with 1000

[tex]5 \times 1000 = 5000[/tex]

Answer:

mass is 40y^2

Step-by-step explanation:

D=M/V

D=y10

V=y4

Y10=m/y4

Y10xy4=m

40y^2=m

I don’t know what you mean by y, but I’m pretending it’s a variable here.

Answer:

Jessica and Luke rates are inequivalent.

Step-by-step explanation:

Jessica had 4 laps and had 9 minutes.

4 Laps/9 Minutes = 12 laps/27 Minute

12 Laps/27 Minutes ≠  8 Laps/ 27 Minute

So, Jessica and Luke has inequivalent.

Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D

Answer:

No, Noah's method does not always work.

Step-by-step explanation:

Let's say we're trying to find 40% of 80 instead of 20% of 60.

If we divide 80 by 5, like Noah says, we get 16, which is not 40% of 80.

The proper solution would be to multiply the number by the percentage converted to a decimal.

In this case, it would be 80 × 0.4, which is 32.

When you try to solve 20% of 60, you can say 60 × 0.2, which also gets 16.

Answer:

No it doesn't

Step-by-step explanation:

His method never works because multiplying by does not give the same result as dividing by 5. AI Recommended Answer: To find 20% of a number, divide the number by 5. For example, 20% of 60 is 12.