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oksian1 [2.3K]
2 years ago
13

In one class, homework is worth 10% of the final grade, each of 3 projects is worth 20%, and a final exam is worth 30%.

Mathematics
1 answer:
swat322 years ago
3 0

a) At this point, the grade is 27.1

b)  The lowest possible grade is 81

<h3>How to get the grades of the student?</h3>

a) At this point the student has 81 in homework and 95 on the first project.

Remember that the homework is worth 10% of the final grade, and each project is worth 20%, then at this point the final grade is:

F = 0.10*81 + 0.20*95 = 27.1

b) The student gets 72 on the second project and 71 on the third project, at this point the final grade is:

F = 27.1 + 0.20*72 + 0.20*71 = 55.7

Now the student wants to get a final grade of 80, then if we define x as the grade on the final exam (which is worth 30%) we must have that:

55.7 + 0.30*x = 80

Now we can solve this for x:

x = (80 - 55.7)/0.30 = 81

The lowest possible grade that he must get is 81.

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

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Answer:

A is correct (33/18 and 66/26)

Step-by-step explanation:

Both fractions equal 6/5 when fully simplified. All you have to do is divide 18 by 15 and divide 24 by 20. Both of them will equal 1.2.

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Use the clues to write a number that has digits 3,5,7,9. The 3 has a value 10 times the 3 in 843, the 9 has a value 100 times th
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Answer:

7935

Step-by-step explanation:

The required number consists of digits 3,5,7,9.

3 in 843 appears in the units place. In the required number 3 has a value which is ten times that in 843. So in the required number 3 appears in the tens place.

9 in 34629 appears in the units place. In the required number 9 has a value which is hundred times that in 34629. So in the required number 9 appears in the hundreds place.

7 in 4782 appears in the hundreds place. In the required number 7 has a value which is ten times that in 4782. So in the required number 7 appears in the thousands place.

5 is in the remaining place.

So the required number is 7935

3 0
3 years ago
288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel
Arisa [49]
288 divided by 12 = 24
240 divided by 10 = 24
6 0
3 years ago
What is the inverse of this equation f(x) = 1/4(x+3)^2+2
Masja [62]

Answer:

y = √(4x - 8) - 3

Step-by-step explanation:

y = 1/4(x + 3)² + 2

To find the inverse, switch the places of the x and y.  

x = 1/4(y + 3)² + 2

Solve for y.

x - 2 = (1/4(y + 3)² + 2) - 2

x - 2 = 1/4(y + 3)²

4(x - 2) = 4(1/4(y + 3)²)

4x - 8 = (y + 3)²

√(4x - 8) = √((y + 3)²)

√(4x - 8) = y + 3

√(4x - 8) - 3 = (y + 3) - 3

√(4x - 8) - 3 = y

y = √(4x - 8) - 3

4 0
4 years ago
Given that f(x)=x3​, find
Harrizon [31]

Answer:

(f ∘ f)(–1) = –1

Step-by-step explanation:

To solve a composite function, rewrite using brackets and solve from inside to outside.

(f ∘ f)(x) is the same as:    f[f(x)]

Given that x = –1 in (f ∘ f)(–1), we are solving for:

f[f(–1)] = ?

Solve for f(–1) inside the square brackets first.

f(x) = x³

f(–1) = (–1)³    Simplify.

f(–1) = –1       Solved the inside.

Substitute f(–1) = –1 into the square brackets.

f[f(–1)] = f[–1]

Now, we can solve the outside.

Solve with the equation of the function, x³.

f[–1] = x³

f[–1] = [–1]³     Substitute x = –1.

f[–1] = (–1)³     Simplify.

f[–1] = –1        Final answer

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