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Crazy boy [7]
3 years ago
10

Alice's average mark for 4 Science exams is 68%. Can Alice score enough marks in a fifth exam so that her average mark increases

to 75?%? Give reasons.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.

Step-by-step explanation:

She scored an average 68% in all 4 exams.

This means; (68% + 68% + 68% + 68%)/4

Now, a fifth exam is added and we want to know if her average can now be 75%.

Thus, let the score in the 5th exam be x and we now have;

(68% + 68% + 68% + 68% + x)/5 = 75%

Multiply both sides by 5 to get;

(68% + 68% + 68% + 68% + x) = 375%

272% + x = 375%

x = 375% - 272%

x = 103%

The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%

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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)
Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

  • Use one point formula and find 1st equation.
  • After that you find the slope of second equation.
  • Use the condition of perpendicular lines and find the slope of first equation.
  • Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

y =  \frac{ - 1}{2} x +  \frac{2}{3}

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

m1 \times m2 =  - 1

m1 \times  \frac{ - 1}{2}  =  - 1

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

(y - 3) = 2(x - 2)

Simplify them to get equation.

(y - 3) = 2x - 4

y = 2x - 1

Therefore the required equation is y = 2x-1.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
please help me with this one and more thru the comments I don't have that many points please do it I'm begging u
zvonat [6]

Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe

3 0
2 years ago
Find the value of x. PLEASE explain how you got your answer thanks!
Mnenie [13.5K]

Answer:

x = 96

Step-by-step explanation:

x + x - 5 + x - 11 + x - 8 = 360

4x - 24 = 360

4x = 360 + 24

4x = 384

x = 96

8 0
3 years ago
Simplify the expression:<br> 2x+1bx8
denis-greek [22]

Answer:

2x+8b

Step-by-step explanation:

First since 1 and 8b are on the same side mutiply them:

1bx8=8b

So our new equation is 2x+8b

7 0
1 year ago
Dominic rides his bike at a rate of 4 min per mile
taurus [48]

Answer:

Dominic can ride a mile every 4 minutes so if total miles is represented by m, then the solution for how many minutes he's riding for a specific amount of time would be 4m (4 x m). For example, if you want to find out how many minutes it would take to ride 1 mile, substitute m for 1. It would be 4 x 1 = 4 so it takes a total of 4 minutes. If you want to find out how many minutes it took to ride 6 miles, substitute m for 6. It would be 4 x 6 = 24 so it would take a total of 24 minutes to ride 6 miles. If you want to find out how many minutes it took to ride 12 miles, substitute m for 12. It would be 4 x 12 = 48 so it would take a total of 48 minutes to ride 12 miles. I think you gave a lack of information so your question is incomplete but I hope this is applicable and helps anyways!

7 0
3 years ago
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