Ask question

Ask question

All categories

2 years ago

10

Amanda's average grade on a set of five test was 88%. She can remember only that the first four grade were 78%, 86%, 96%, and 94

%. What was the grade on her fifth test ?

1 answer:

Sergeeva-Olga [200]2 years ago

4 0

Answer:

I think the answer is 92%.

You might be interested in

An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i

Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = $\sqrt{(15-x)^2+1^2}$

The total time, 't', is given as follows;

$t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}$

The minimum value of 't' is found by differentiating with an online tool, as follows;

$\dfrac{dt}{dx} = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} = \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }$

At the maximum/minimum point, we have;

$\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0$

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

$t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89$

Therefore, the distance to run, x ≈ 14.96 mile

6 0

2 years ago

Solve the equation: 5.1 - 7x = 9.1

bonufazy [111]

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

6 0

3 years ago

Solve In (2x+3)=7 round to the nearest thousandth

e-lub [12.9K]

To solve this problem you must apply the proccedure shown below:

1. You have:
<span>
In(2x+3)=7

2. Then, you must apply log(e), as below:
</span><span>
In(2x+3)=ln(e^7)

3. Now, you obtain:

2x+3=e^7

4. Youy must clear the variable "x", as below:

2x=e^7-3
</span> x=(e^7-3)/2
<span>
5. Therefore, the value of "x" is:

x=546.817
</span><span>
The answer is: </span>x=546.817<span> </span>

8 0

2 years ago

Which relations represent functions?

Brut [27]

The first and last represent functions, no function has an input with two separate outputs

8 0

3 years ago

A large room has the dimensions shown below.A partition is to be installed so that 2 classes can use it.The area of the smaller

Artemon [7]

It would be D because you need to multiply 38 and 50. But x is the length of one classroom, and because we don't know it, you would get 38(50-x).

Good luck!!

8 0

3 years ago