Answer:
The equation for the relationship is
.
Step-by-step explanation:
Given that point
is part of a direct relationship. That is:

(1)
Where
is the proportionality constant.
If we know that
and
, then the proportionality constant is:



Lastly, the equation for the relationship is
.
Answer:
b. Engine oil E will cause a significant improvement is gas mileage.
Step-by-step explanation:
The research was conducted with the random vehicles who were introduced with Engine oil E. When compared with engine oil E and the generic oil the vehicle that uses engine oil E performed better. The gas mileage of such vehicles improved significantly as compared to other vehicles who received generic oil.
<span>13⁄41 + 27⁄82 = 26/82 + 27/82 = 53/82
3 5/24 + 6 7/24 + 4 9/24 = 13 20/24 = 13 5/6
</span><span>5 2⁄3 + 29⁄69 + 6 21⁄23 = 5 46/69 + 29/69 + 6 63/69 = 11 138/69 = 13
</span>
<span>3 9⁄10 + 4⁄9 + 7⁄45 + 4 = 3 81/90 + 40/90 + 14/90 + 4 = 7 135/90 = 8 1/2
</span><span>6 – 7⁄15 = 5 15/15 - 7/15 = 5 6/15
</span><span>11 3⁄8 – 7⁄8 = 10 11/8 - 7/8 = 10 4/8 = 10 1/2
</span><span> 7 1⁄6 – 3 4⁄9 = 7 9/54 - 3 18/54 = 6 63/54 - 3 18/54 = 3 45/54 = 3 5/6
</span>
<span>5 3⁄8 – 3 2⁄5 = 5 15/40 - 3 16/40 = 4 55/40 - 3 16/40 = 1 39/40</span>
Answer:
14 more flower would bloom if 21 more tulip bulb is planted.
Step-by-step explanation:
Given ratio for tulip bulbs and flowers is 15:10.
Now, finding number of flower to bloom if 21 tulip bulb are planted.
Assume if 21 tulip bulbs are planted then number of flower would bloom be"x"
ratio given: 
Cross multiplying the ratio to get:
⇒x= 
∴
Hence, 14 flowers would bloom if 21 tulip bulb are planted.
If total tulip bulb is
, then
would bloom.
Answer:
d=13.
Step-by-step explanation:
d=
From question statement,
,
,
put above values in the distance formula,we obtain
d=
d=
d=
d=
d=13