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velikii [3]
3 years ago
12

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0

Answer:

The answer is 5

Step-by-step explanation:

on edge 2021

arlik [135]3 years ago
4 0

Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

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A car assembly line can produce 3 cars per hour. How long would it take to produce 150 cars?
Basile [38]
50 hours cause you take 150 divided it by 3
6 0
3 years ago
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The sum of mZAOB and mZBOC IS 128º. Find the measure of ZBOC.
amm1812
128 - 33 = 95
Answer C. 95
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3 years ago
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to communication companies offer calling plans with company X it cost $0.35 to connect and then $0.05 for each minute with compa
Mama L [17]

Answer:

X Company charges (0.2+0.01n)\times 10^2 \ cents more than Company Y

Step-by-step explanation:

Given:

Cost of X company = \$ 0.35+(\$0.05\times 1 \ minute)

Cost of Y Company =\$ 0.15+(\$0.04\times 1 \ minute)

for n minutes

Cost of X company for n minutes = \$ 0.35+(\$0.05\times n \ minute)

Cost of Y Company for n minutes =\$ 0.15+(\$0.04\times n \ minute)

Difference for n minutes we get by Subtracting Cost of Y Company for n minutes by Cost of X company for n minutes

Difference for n minutes = (\$ 0.2+\$ 0.01n)=(0.2+0.01n)\times 10^2 \ cents

X Company charges (0.2+0.01n)\times 10^2 \ cents more than Company Y

6 0
3 years ago
What is the greatest number of teams can be formed that have the same amount of boys and girls on each team if they have 54 girl
elena55 [62]

The greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

<em><u>Solution:</u></em>

Given that there are 54 girls and 84 boys

We have to find the greatest number of teams can be formed that have the same amount of boys and girls on each team

So we have to find the greatest common factor of 54 and 84

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

<em><u>Let us find the factors of 54 and 84</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

In the above factors list, 6 is the greatest common factor

Then the greatest common factor is 6

So the greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

7 0
3 years ago
What is the area of the square adjacent to the third side of the triangle?
Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

3 0
3 years ago
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