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1 answer:
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This is about changing subject of formula.
<u><em>1) Option D</em></u>
<u><em>2) Option B</em></u>
<u><em>3) Option C</em></u>
<u><em>4) Option C</em></u>
<u><em>5) Option B</em></u>
- 1)
x = 10
To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.
This means we multiply both sides by .
Option D is correct
- 2) We are given the equation;
d = 27.2 - 9.8t
where;
d represents the number of miles she is from home
t represents the number of hours she rides
We are told that she is now 27.2 miles from home.
Since she rides at an average of 9.8 mph, then formula for time is;
t = distance/speed = 27.2/9.8
t = 2.7755
To the nearest hundredth gives;
t = 2.78 hours
Option B is correct
- 3) S = 145t + 85.
t represents months you have saved
This means that the coefficient of t is the amount you saved monthly = $145
And 85 is the amount you started with.
Option C is correct
- 4) From question 3 above, S represents the total amount saved after t months.
Thus, if you have saved $810 after t months, then;
145t + 85 = 810
145t = 810 - 85
145t = 725
t = 725/145
t = 5 months
Option C is correct
- 5) first shirt costs $35 and subsequent ones cost $11.
If the number you can buy is x and max amount to spend is $250, then;
35 + 11x 250
11x 250 - 35
11x 215
x 215/11
x 19.55
There is no decimal shirt and so we pick 19 shirts which is option B
Read more here; brainly.com/question/24657829
Answer:
x = - 9 , 6
Step-by-step explanation:
The given function is
⇒
Therefore, the value of h(x) will be undefined for the denominator equal to zero.
So, (x + 9)(x - 6) = 0
⇒ x = - 9 and x = 6
Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)
Answer:
Constant of variation is 24.
Step-by-step explanation:
Inverse variation states that a relationship between two variables in which the product is remain constant.
If one variable increases then, the other one decreases in proportion so that the product is unchanged,
if y is inversely proportional to x i.e or
;where k is the constant of variation.
It is given that 3 identical water pumps takes 8 hours to fill a pool,
since, it will take less time with more pumps, so it is an inverse variation.
By definition of inverse variation;
Substitute the values to solve for k;
Multiply by 3 to both sides we get;
Simplify:
k = 24
Therefore, the constant of variation is, 24