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krek1111 [17]
2 years ago
13

Y is directly proportional to x when y=30, x=6

Mathematics
1 answer:
lbvjy [14]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 30, x = 6

k = \frac{y}{x} = \frac{30}{6} = 5

y = 5x ← equation of proportionality

When x = 12, then

y = 5 × 12 = 60

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Point of (0,2) with the slope of -1
Zanzabum

Answer:

y = -x+2

Step-by-step explanation:

using the point slope form of a line

y-y1 = m(x-x1)

y-2 = -1(x-0)

y-2 = -x

add 2 to each side

y-2+2 =-x

y = -x+2

this is in slope intercept form

4 0
3 years ago
What is the mean of this data? 7,5,5,3,2,2
Vikentia [17]

Answer:

4

Step-by-step explanation:

The mean is the average of a data set. It can be found by adding up all of the values in a data set and then dividing it by the number of values in the data set.

The values in this data set;

7,5,5,3,2,2

The number of values in this data set,

6

Find the mean;

\frac{sum\ of\ vlaues}{number\ of\ values}

=\frac{7+5+5+3+2+2}{6}\\\\=\frac{24}{6}\\\\=4

8 0
2 years ago
The bill for lunch was $7 . The sales tax in dallas , Texas , is 8.25% . If you have $9.50 , what is the maximum amount you can
dem82 [27]

Answer:

7•8.25%= .58

0.58+7= 7.58

9.50-7.58=1.92 max tip

a 19% tip

7 0
2 years ago
mr sanchez owns a square field. the side lengths are 0.9 kilometers. there are 1980 prairie dog burrows in the field. what is th
nata0808 [166]
Density is the measurement of the amount of mass per unit of volume. 
In this case we should calculate the density of prairie dog burrows on a square field. This is a surface charge density.It is defined as the total amount of units q per km^2.
to calculate<span> the </span>density of prairie dog burrows, we should divide the total number of  prairie dog burrows in the field <span>by the size of the field. Thus,
</span><span>
 </span>prairie dog <span>burrows in square kilometers= number of dog burrows/ size of the field

size of the field=0.9*0.9=900*900=180000m^2
1980/180000</span><span> m^2= 0.011 dog burrows in square meter 
11 dogs in square kilometer</span>
5 0
3 years ago
Someone, please help I'm confused.
djyliett [7]

Answer:

The highest rate of birds is during the years 4 to 3

(remember that the lowest digit of number of negative is the highest and the highest is the lowest)

Step-by-step explanation:

Rate of Changes:

1 to 2: 5080.86 - 5238/ 2 - 1

=  -157.14/1

= (convert to decimal) -157.1

2 to 3: 4928.43 - 5080.86/ 3 - 2

= -152.43/ 1

= -152.43

3 to 4: 4780.58 - 4928.43/ 4 - 3

= -147.85/ 1

= -147.85

8 0
2 years ago
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