Answer:
The missing addend is 1/20
Step-by-step explanation:
Variable x: missing addend
4/10 + x = 45/100
When adding or subtracting fractions, the denominators must be the same number.
To convert 10 to 100, we must multiply 10 by 10.
If we multiply 10 to the denominator, we must do the same to the numerator (multiply by 10).
4 × 10 / 10 × 10
40/100
Use this fraction in the equation now
40/100 + x = 45/100
Now isolate the variable, x, by subtracting 40/100 from both sides
40/100 - 40/100 + x = 45/100 - 40/100
When subtracting fractions, only subtract the numerators. The denominators remain the same
x = 5/100
Simplify 5/100
Both numbers can be divided by 5
5 ÷ 5 / 100 ÷ 5
1/20
Answer:
X<4
Step-by-step explanation:
X/2<2 by subtracting 8 from both sides
Then you need to multiple by 2 and get
X<4
$0.75 per pound 3/4 is 0.75
Answer:
approximately 0.2 days
Step-by-step explanation:
Flow is defined as:
Q = V/t
where Q is flow, V is volume, and t is time
Let's call Vr to the volume of the reservoir, then for the first channel:
Q1 = Vr/t1
Replacing with t1 = 1/3 of day:
Q1 = Vr/(1/3) = 3*Vr
Similarly, or the other channels:
Q2 = Vr/1 = Vr
Q3 = Vr/(2 1/2) = 2/5*Vr
Q4 = Vr/3
Q5 = Vr/5
When all channels are open, the time needed to fill the reservoir is:
Vr = t*(Q1 + Q2 + Q3+ Q4 + Q5)
Replacing with the previous equivalences:
Vr = t*(3*Vr + Vr + 2/5*Vr+ Vr/3 + Vr/5)
Vr = t*4.93*Vr
1/4.93 = t
0.2 = t
The question is missing some important details required to answer the question. I found a similar question, so I will answer using this details. If there is any differences in the details, you can still use my working by changing the value given:
Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an idditional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
How many miles would Abdul need to drive for the two plans to cost the same?
Answer:
275 miles
Step-by-step explanation:
Let the distance travel be X
First plan:
Initial fee: 38
Per mile: 0.11
So the total cost is
C1 = 38 + 0.11X
Second plan:
Initial fee: 49
Per mile:0.07
So the total cost is
C2 = 49 + 0.07X
Since the question asked about when the total cost be the same, we can say that C1 = C2
C1 = C2
38 + 0.11X = 49 + 0.07X
0.11X - 0.07X = 49 - 38
0.04X = 11
X = 11/0.04 = 275
At 275 miles, the cost will be the same.
