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3 years ago

Which equation has a constant of proportionality equal to 10? Choose 1 answer: Choose 1 answer:

Mathematics

2 answers:

MakcuM [25]3 years ago

4 0

it’s B! I hope I get brainlist!! I hope you have a good day bye!

Genrish500 [490]3 years ago

3 0

Answer:

Step-by-step explanation:

30/3=10

Have a great day!

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If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1

Aleksandr [31]

Answer:

B. $s=\dfrac{1}{4}\times420$

Step-by-step explanation:

Total number of students surveyed = 420

Of which only $\dfrac{1}{4}$ prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

$\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105$

The number of students that prefer rap is 105

So the equation is $s=\dfrac{1}{4}\times420$ .

3 0

3 years ago

The area of a regular octagon is 35 cm 2 what is the area of a regular octagon with sides three times as large

Maurinko [17]

The area of a polygon = n*side^2 / (4 * tan(180/n))
where "n" is the number of sides

Let's calculate area for side = 2
area = 8*2^2 / (4 * tan(180/8))
area = 32 / (4 * tan(22.5))
area = 32 / 4*0.41421
 area = 19.3138746047 

Now, let's calculate area for side = 6
area = 8*6^2 / (4 * tan(180/8))
area = 288 / 1.65684 
area = 173.824871442 

 173.824871442 / 19.3138746047 = 9

So, the area would be 9 times larger.

ALSO, looking at the formula
n*side^2 / (4 * tan(180/n))
we can see that the side length appears just once in the formula and we are to square it in the calculation. So, if we increase the side length is increased by 3, then the area increases by 3^2 or 9.

5 0

3 years ago

A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth 4 p

GarryVolchara [31]

Answer:

$46 \times 2 = 92 \: points \\ 100 - 92 = 8 \: points \\ 4 \times 2 = 8 \\ two \: of \: the \: 4 \: points \: questions \: \\ were \: answered \: correctly$

7 0

2 years ago

Kelsey solved the following equation:

Tems11 [23]

9514 1404 393

Answer:

(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.

_____

Additional comment

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.

6 0

2 years ago

HELP! what is the y-intercept of the function f(x)=5*(1/6)^x

vivado [14]

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept? Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

5 0

3 years ago