Answer:
m = 686.
Step-by-step explanation:
Direct variation :
m= kl^3 where k is a constant.
m = 250 when l = 5, so
250 = k *(5)^3
k = 250 / 125 = 2
So the equation of variation is m = 2l^3.
When l = 7:
m = 2 * (7)*3
= 2 * 343
= 686.
Divide the denominator from the numerator.
For example:
1/8 is the same as 1÷8
Then do long division:
_____
8) 1
You will get 0.125
Answer:
y = 1.6x + 3.4
Step-by-step explanation:
We have to use the equation y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y-intercept
<u>First, let us find the slope.</u>
For that, we can use the given two coordinates.
( -1 , 5 ) ⇒ ( x₁ , y₁ )
( 4 , -3 ) ⇒ ( x₂ , y₂ )
The <u>formula to find the slope</u> of a line is :
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
<u>Let us solve now.</u>
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )
m = ( 5 + 3 ) ÷ -5
m = 8 ÷ -5
<u>m = -1.6</u>
Now let us<u> find the y-intercept (c )</u> of the line.
For that, let us get one of the coordinates which are given in the question.
I'll get ( -1 , 5 ) from that.
( -1 , 5 ) ⇒ ( x , y )
<u>Let us solve now.</u>
y = mx + c
5 = -1.6 × -1 + c
5 = 1.6 + c
5 - 1.6 = c
<u>3.4 = c</u>
Therefore,
m ⇒ -1.6
c ⇒ 3.4
So, the equation of the line is :
y = mx + c
<u>y = 1.6x + 3.4</u>
You can just overall divide 100 from 25 to get a percentage because you're trying to find the percentage of captown only but per se if you were to find various cities in Maltania than you can just divide 100 by the percent of the population.
No; the 75% off sign implies that he is lowering the price, when he actually wants to increase the price.
