Answer:
D) 3.57%
Step-by-step explanation:
The percentage change is given by ...
percent change = ((new value) -(old value))/(old value) × 100%
= (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%
__
When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.
Answer:
D. 3.35
Step-by-step explanation:
First we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:
2.35 + 0.25x = 1.75 + 0.4x - Now we nee to solve it and find x.
2.35 - 1.75 = 0.4x - 0.25x
0.6 = 0.15x
x = 0.6 ÷ 0.15
x = 4 weeks
So now we substitute x into the equation for beef and find the price.
b = 2.35 + (0.25 × 4)
b = 2.35 + 1
b = $3.35 per pound
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.
Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,
20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.
Answer:
Step-by-step explanation:
For this exercise it is important to remember that "Times as great as" indicates multiplication.
Therefore, "4 times as great as" can be expressed as following:
So, the statement "24 is 4 times as great as" indicates that 24 is equal to .
Knowing this, you can write the following equation:
In order to solve for "k", you can divide both sides of the equation by 4. Then, you get the following result:
Answer:
13,000 ft.
Step-by-step explanation:
X -------10960----------C---------------D---------------Y
The entire race (from X to Y) is 7 miles. There are 5,280 ft. in one mile, so 7 miles is 36960 ft.
If we subtract 10,960 from 36,960, then we get the distance from C to Y.
36960-10960 = 26000
They tell you D is at the midpoint between C and Y
So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.
26000/2 = 13000
The checkpoints are C and D, so the distance between them is 13,000 ft.
