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vlabodo [156]
4 years ago
12

1. Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?

Mathematics
1 answer:
juin [17]4 years ago
7 0
<span>1) y varies directly with x, then we have: y = kx,  k is the constant of variation 

y = kx

14 = - 4k
k = 14/- 4, or - 7/2, or - 3.5 

y = kx
y = - 3.5(- 6) 
y=21

2) </span><span>201.6 is the right answer.see the procedure used in Q1.

3) K = y/x
        = 9/12
        = 3/4</span>
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Choose all the numbers that are common multiples of 3 and 12.
spayn [35]
<h3>Answers: 48 and 72</h3>

=========================================================

Explanation:

The number 12 is a multiple of 3 because 3*4 = 12.

So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.

The multiples of 12 are:

  • 12, 24, 36, 48, 60, 72, 84, 96, 120, ...

We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.

Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.

844/12 = 70.333 approximately.

This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.

Only 48 and 72 are multiples of 12 (and also multiples of 3).

6 0
3 years ago
A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.
Gennadij [26K]

Answer:

14/81

Step-by-step explanation:

The probability of getting a green is number of green sections ÷ total number of sections = 2/4+3+2 = 2/9

Probability of not getting a green is = 1 - probability of getting a green = 1 - 2/9 = 7/9

Now we calculate the probability of not getting 2 consecutive greens. I.e probability of getting a green the first time and not getting it the second time= (2/9 × 7/9) = 14/81

6 0
3 years ago
Please help!! Which of the following is equal to the rational expression when x ≠ 2 or -4? 5(x-2)/(x-2)(x+4)
Stels [109]

Answer:

5 / (x+4)      x ≠2 x≠-4

Step-by-step explanation:

5(x-2)/(x-2)(x+4)

The denominator cannot be zero so x ≠2 x≠-4

Cancel like terms in the numerator and denominator

5 / (x+4)      x ≠2 x≠-4

6 0
3 years ago
it have 3 sides but in the formula we have 4 sides which is (A b sides) (B base sides ) (C base side ) and (height) HEEELLLLPPPP
Vikki [24]

Answer:

225 m³ or 225 cubic meters

Step-by-step explanation:

Actually it has 5 sides, the 2 bases, the 3 lateral faces.

The formula for the volume of a triangular prism is: \frac{h*b*l}{2}

Using the given measurements, we get:

\frac{9*5*10}{2} =\\\\\frac{450}{2} =\\\\225

The volume of the prism is 225 m³

3 0
4 years ago
Consider the parent quadratic function f(x) = x2.
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F(x)=x+c, where c is an arbitrary constant.
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5 0
3 years ago
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