Answer:
Step-by-step explanation:
Make sure they have a common denominator. To do so, you must find a number the both have in come. Here, the number they have in common is 20.
What times 4 equals 20? 5. Whatever you do to the denominator you must do to the numerator.
× 
= 
Now you have 
= 
Then you can simplify to by dividing it by 
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
Answer:
The surface area of the cube is 
Step-by-step explanation:
we know that
The length of a diagonal of a cube is equal to
where
b is the length side of a cube
In this problem we have
so
solve for b
Simplify
<em>Find the surface area of the cube</em>
The surface area of the cube is equal to
substitute the value of b
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
It seems like they're both divisible by 8, so let's do that.
40/64 = 5/8
There is no way to divide 5/8 while keeping the whole numbers.
Therefore, 40/64 has an equivalent fraction of 5/8.
However, that is the simplest equivalent fraction. Other ones can include:
40/64 = 80/128 (multiply both sides by 2)
40/64 = 20/32 (divide both sides by 2)
As long as you only multiplied or divided both the numerator and the denominator with same values, it is considered as an equivalent fraction as the fraction before
