The equation to solve this problem is 114 + 2.75x = 320.25. Solving this equation, we find that the cost of labor per hour, represented by x, is $75.
The problem you're trying to solve involves the labor cost per hour of the technician who worked on Caroline's computer. From the problem, we know that the total cost of the repair was $320.25. This includes the cost of parts, which was $114, and the labor the technician invested, which we know took 2.75 hours but we aren't sure of the per hour cost. Let's denote this unknown cost as x. Therefore, our equation would be 114 + 2.75x = 320.25.
We can solve for x, the cost of labor per hour, by isolating this variable on one side of the equation. Firstly, subtract 114 from both sides: 2.75x = 320.25 - 114 which results in 2.75x = 206.25. Then, divide both sides by 2.75 to find x: x = 206.25/2.75 which equals $75. Therefore, the cost of labor per hour is $75.
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Answer:
G
Step-by-step explanation:
Try to understand what this equation is saying and what plugging in different values would represent.
At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.
At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.
Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.
Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:
1.025 = (1 + 0.025) = 100% + 2.5%
Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.
So G is your answer.
Answer:
x^2+10x+21
Step-by-step explanation:
Blue box: x*x=x^2
Green box: x*3=3x
Purple box: 7*x=7x
Orange box: 7*3=21
x^2+(3x+7x)+21
Combine like term
A: x^2+10x+21
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.
a. How many yards apart are Kate's and Ben's homes?
b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️
Answer:
a. 1,000 yards
b. (2, -1)
Step-by-step explanation:
Coordinates of Ben's House = (6, 2)
Coordinates of Kate's House = (-2, -4)
a. Number of yards between Kate and Ben's House using instance formula, .
1 unit = 100 yards
Therefore, 10 units = 1,000 yards.
Kate and Ben's House are 1,000 yards apart.
b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).
Plug in the values
Yes, Monty can use the number line to find an equivalent fraction with a denominator greater than 6.
For Example,
Consider
The equivalent fraction of is .
So, yes you can represent on a number line by putting 6 lines between 0 and 1 and Can Represent by putting 34 lines between 0 and 1.
There is no effect of denominator to find equivalent fraction of any rational number, whether the denominator is greater than 6 or less than 6, but denominator should not be equal to Zero.
We can find equivalent fraction of any rational number , the denominator of that rational number should not be equal to Zero.