Jill Moran has grades of 95 and 87 on her first two calculus tests. What is the minimum score on her third test that will give her an average of at least 90?

solve for x, the score on her third test.

(x + 95 + 87)/3 ≥ 90

Well, Jill Moran certainly wants to calculate her way to success in calculus! Let's help her out. To find the minimum score Jill needs on her third test, we'll use a bit of math. First, let's assume Jill's desired average is 90.

Since she already took two tests, let's call her third test score "x". We know the average is calculated by summing up all the scores and dividing by the number of tests. So, we can express this as:

(95 + 87 + x) / 3 ≥ 90

Now, let's do a little bit more math. We can simplify this inequality by getting rid of the fraction:

95 + 87 + x ≥ 270

To find the minimum score Jill needs on her third test, we just solve for x:

x ≥ 270 - (95 + 87)
x ≥ 270 - 182
x ≥ 88

So, Jill needs a minimum score of 88 on her third test to achieve an average of at least 90. Good luck Jill, may your calculus skills soar to new heights!

To find the minimum score on Jill's third test, we need to calculate the total score she needs to achieve an average of at least 90.

Let's denote the score Jill needs on her third test as x.

Jill's total score on her first two tests is 95 + 87 = 182.

To find the minimum score on the third test that will give her an average of at least 90, we can set up the following equation:

(182 + x) / 3 ≥ 90

To solve for x, multiply both sides of the inequality by 3:

182 + x ≥ 270

Next, subtract 182 from both sides of the equation:

x ≥ 270 - 182

Simplifying the right side:

x ≥ 88

Therefore, the minimum score Jill needs on her third test to have an average of at least 90 is 88 or higher.

To find the minimum score Jill needs on her third test, we can use the formula for calculating an average:

Average = (Sum of all scores) / (Number of scores)

In this case, we know Jill wants an average of at least 90 on her three tests. So, we have:

90 = (95 + 87 + x) / 3

To solve for x, we can first multiply both sides of the equation by 3:

270 = 95 + 87 + x

Next, we can combine like terms:

270 = 182 + x

To isolate x, we can subtract 182 from both sides of the equation:

270 - 182 = x

x = 88

Therefore, the minimum score Jill needs on her third test in order to have an average of at least 90 is 88.