Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
Answers
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
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Answers
Answer:
$5,591.46
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 2.5% into a decimal:
2.5% -> -> 0.025
Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:
The amount in the account after 4.5 years is $5,591.46
Final answer:
To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.
Explanation:
The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.
The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.
Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.
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Answers
Answers
sesame bagels = x/3 = 72
x/3=72
x=72x3
x=216
Answers
9 divide by 45 equals 5
9 +7=16
4×6=24
9×9=81
13-5=8
16-8=8
8×5=40
4-3=1
9×8=72
5+5=10
7÷35=5
5÷30=6
9+2=11
6÷24=4
5+7=12
10-4=6
1÷4=4
4+8=12
8+8=16
A. 62.5 Points
B.77.5 Points
C. 82.5 Points
D.93.5 Points
Answers
Answer:
The approximate score is:
Option: A
A. 62.5 points.
Step-by-step explanation:
Clearly from the graph we could observe that the line of best fit passes through (0,10) and (4.5,45).
Now we find the equation of line of best fit with the help of formula that is used to find the equation of a line passing through (a,b) and (c,d) as:
Here we have:
(a.,b)=(0,10) and (c,d)=(4.5,45)
Hence, the line of best fit is given as:
Now we are asked to find the math score if she does math homework for 7 hours a week i.e. we have to find the value of y when x=7.
Hence, we put x=7 in the equation to obtain y as:
Hence, the approximate score is:
Option: A
A. 62.5 points.
Let's write the an equation in slope intercept for for the line.
y-intercept=10
slope=rise/run=15/2=7.5
equation:
y=mx+b
y=7.5x+10
Solve for x=7
y=7.5(7)+10
y=52.5+10
y=62.5
Answer=A
Answers
The table of values and graph for the equation y = 3x - 5 shows a linear relationship with a positive slope of 3, and the y-intercept is -5.
To create the table of values, we will substitute the given x-values into the equation y = 3x - 5 and calculate the corresponding y-values.
x y
-2 -11
-1 -8
0 -5
1 -2
2 1
For instance, when x is -2,
=> y = (3 * -2) - 5 = -6 - 5 = -11.
Similarly, for
=> x = -1, y = (3 * -1) - 5 = -3 - 5 = -8,
=> x = 1, y = (3 * 1) - 5 = 3 - 5 = -2,
and so on.
Now, let's plot these points on a graph. On the horizontal axis (x-axis), we will mark the x-values, and on the vertical axis (y-axis), we will mark the corresponding y-values. After plotting all five points, we will join them to form a straight line.
The graph will show a line slanting upwards from left to right. This is typical of a positive slope, which indicates that as x increases, y also increases. The slope of the line is 3, which means that for every unit increase in x, y increases by 3 units. The line intersects the y-axis at -5, which is the y-intercept. It means that when x is 0, y is -5.
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