Answer:
a) Given expression,
12% of 312
Since 100% of 312 = 312
⇒ 10% of 312 = 31.2,
⇒ 1% = 3.12
⇒ 2% = 2 × 3.12 = 6.24
So, 12% of 312 = 10% of 312 + 2% of 312
= 31.2 + 6.24
= 37.44
b) Given,
Total number of servings = 312,
The percentage of vitamin C in each serving = 12%,
Thus, the total amount of the vitamin C in 312 servings = 12% of 312


= 37.44,
Hence, the question can be asked about the total amount of the vitamin C.
Answer:
the best option would be to swim
Step-by-step explanation:
Hello! To solve this problem we must follow the following steps.
1. remember the concept of uniform motion with constant speed, which establishes the following equation

where
t=time
x=distance
V=speed
2. Calculate the time it takes to swim and calculate the time it takes to walk
walking:
x=10mile
v=5milles/h

swimming
x=1mile
v=3milles/h

3. Compare both results and choose the one with the least time.
as you can see it takes less time swimming, so this would be the best way
Answer:
y ≤-7
Step-by-step explanation:
-8y ≥56
Divide each side by -8. Remember to flip the inequality
-8y/-8 ≤56/-8
y ≤-7
Hey there!!
Given :
The total cost for 2 pairs of pants and 5 shirts is $61.
The total cost for 3 pairs of paints and 4 shirts is $67.
<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>
Now, let's get these into an equation.
<em>Peter's equation</em> :
... 2p + 5s = 61
<em>Jessica's equation : </em>
...3p + 4s = 67
......................................................................................................
2p + 5s = 61 --- (1)
3p + 4s = 67 --- (2)
Multiply the first equation with 3 and the second equation with 2.
6p + 15s = 183
6p + 8s = 134
S<em>ubtract both the equations - </em>
... 7s = 49
Divide both sides with 7.
... s = 7
<u><em>Hence, the cost of each shirt is $7. </em></u>
Hope my answer helps!!
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.