Answer:


Step-by-step explanation:
we are given


we have to find f/g
we can write as

now, we can plug values
and we get

so,

we know that denominator can not be zero
so,

now, we can solve for x


Divide both sides by 5
and we get

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
Answer:
a. Not Divisible
b. Divisible
c. Divisible
d. Divisible
e. Divisible
Step-by-step explanation:
To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.
Let's begin with a:
by 33


We now then divide the total amount with 33.

= 31,781.5454
We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.
Now let's continue on with the others.
by 25


We now then divide the total amount with 25.

= 35,192,575,602
The total value did NOT return a decimal point, therefore making the equation true.
IS divisible by 25.
Next on we have:
by 7

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.


We now then divide the total amount with 7.

= 375
The total value did NOT return a decimal point, therefore making the equation true.
IS divisible by 7.
by 11



We now then divide the total amount with 11.

= 12,005
The total value did NOT return a decimal point, therefore making the equation true.
IS divisible by 11.
Last but not the least:
by 24


We now then divide the total amount with 24.

= 476,837,158,203,125
The total value did NOT return a decimal point, therefore making the equation true.
IS divisible by 24.
Answer:

Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

Substitute values for the dimensions


Hence, the volume of the aquarium is 2000 cubic inches