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.

Answers

Answer 1

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%


Related Questions

very simple questions i just need answers bc this is very late, 15 points and maybe branilist!

Answers

Answer:

question #1

7/15

explanation:

2/10 can round down to 1/5

4/20 can also be round down to 2/10 and 1/5

8/40 can be rounded down to 2/10, 4/20 and 1/5

7/15 can't be rounded down

Answer:

1. B

2. i dont know this answer sorry:(

3. 30/140 or in simplest form is 1/7

4.B

Jessica is a custodian at Oracle Arena. She waxes 20 m2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant rate. At this rate, how many square meters can she wax per hour?

Answers

Answer:

33.3m^2

Step-by-step explanation:

If Jessica waxes 20 m^2 of the floor in 3/5 of an hour, then;

20m^2 = 3/5 hr

To get the area that she waxes in an hour

x = 1 hr

Divide both expression

20/x = 3/5

3x = 20 * 5

3x = 100

x =100/3

x = 33.3m^2

Hence she can wax 33.3m^2 in an hour

The perimeter of a square is 44 meters. Find the length of a diagonal of a square.

Answers

Answer:

15.6m

Step-by-step explanation:

Please see the attached picture for the full solution.

Let y the length of the diagonal of the square.

A shipping container will be used to transport several 70-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23500 kilograms. Other shipments weighing 9700 kilograms have already been loaded into the container. What is the greatest number of 70-kilogram crates that can be loaded into the shipping container?

Answers

Subtract what has already been loaded from total amount allowed:

23500 - 9700 = 13,800

Divide the amount left by the weight of each crate:

13,800 / 70 = 197.14

They can load 197 crates.

The graph of which equation is shown below????

Answers

Answer:

A

Step-by-step explanation:

Because the y-intercept which is the last number days that it is crossing y at 3 and A is the only one that has a y-intercept of 3.

And now that you have that, you can work out the gradient which is 2

Answer:

c

Step-by-step explanation:

hope is right! :) if not sorry

Which of the following is the measure of PCR?
Р
8
38°
8
R
A. 380
O
B. 76°
O
C. 90°
O
D. 80°

Answers

9514 1404 393

Answer:

  B.  76°

Step-by-step explanation:

The triangles are congruent (HL), so each has the same angle at vertex C.

  2 × 38° = 76°

Angle PCR is 76°.

Answer:

76

Step-by-step explanation:

PLEASE QUICK WILL GIVE BRAINLESS
Which number is the additive inverse of -44 -422 -47 1 2 2​

Answers

Answer:

Multiplicative inverse of 2 1 2

The opposite of 212 is −12 . The reciprocal of 212 is 25

Step-by-step explanation:

The guy up there is right :(

Ronald spent $139.85 on school clothes. He counted his money and discovered that he had $32.15 left.
How much money did he originally have?
Enter an equation, using m as your variable, to find how much money he originally had. Then solve the
equation.
An equation is
Ronald originally had $

Answers

Answer:

139.85-m= 32.15

He originally had 139.85 but spent 107.70

Step-by-step explanation:

For this you can would just subtract 139.85 and 32.15

(139.85-32.15=107.70)

Hope this helps! :)

Find the slope of the line
y=-6/5x + 4/9

Answers

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

A new bank customer with $3,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.1%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?

Answers

Answer:

A. they will earn 385 dollars in interest in ten years

B. the accounts balance will be $3,885 after 10 years

Step-by-step explanation:

for part A, there are 2 possible answers, depending on what your looking for, if your looking for the percentage interest, then its 11%, but if your looking for how much they will make off of interest in 10 years, then the answer would be $385.  

You can use this graph to convert between
miles and kilometres.
80
-od
70
60
a) Change 30 miles to kilometres.
50
1 kilometres (1)
Kilometres
40
b) Change 100 kilometres to miles.
20
miles (2)
10
0
0
10 20 30
Miles
40 50
Total marks: 3

Answers

Answer:

A. 48 Km.

B. 62.5 miles.

Step-by-step explanation:

From the diagram given above, the following data were obtained:

50 miles = 80 Km

A. Converting 30 miles to kilometres.

50 miles = 80 Km

Therefore,

30 miles = 30 miles × 80 Km / 50 miles

30 miles = 48 Km

Thus, 30 miles is equivalent to 48 Km.

B. Converting 100 km to miles.

80 Km = 50 miles

Therefore,

100 Km = 100 Km × 50 miles / 80 Km

100 Km = 62.5 miles

Thus, 100 Km is equivalent to 62.5 miles.

A cheese processing plant keeps the heavy cream for their product in a silo with a dome top. The silo has an overall diameter of 25. The height of the cylinder part is 31 feet tall. What is the volume of the silo as a whole? Round your answer to the nearest hundredth, if necessary. Use 3.14 for pi.​

Answers

V = 3.14(r^2)h
V = 3.14(12.5^2)(31)
V = 15209.38

Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph

Answers

Answer:

3mph

Step-by-step explanation:

From Igor we find that the distance is 2x6= 12 miles

Distance/Time = Speed

12 miles/4 hours = 3mph

BRAINLIST!!! "Twenty-eight is more than four times another number" can be shown by the inequality 28 > 4n. Select the values of n which could possibly make this a true statement.

Options

4
6.65
7
8 1/3
n>7

Answers

Answer:

6.65

Step-by-step explanation:

Answer:

n < 7 (n must be strictly less than 7)

so 4 and 6.65 can make this statement true

Step-by-step explanation:

28 > 4n

solve as if it is a normal equation,

divide both sides by 4

n < 7

n must be less than 7

so 4 and 6.65 are values that make the statement true

Can you explain the answer of -2 + 2 divided by 2?

Answers

Answer:

0

Step-by-step explanation:

Zero divided by any number is zero

For instance,

there are no apples, and your mom says you and your brother are to share the apples. because there are no apples, neither of you gets an apple and that makes it 0apples for each of you.

(I hope this helps)

HELP PLZ
What is the equation of a line perpendicular to the x-
axis that passes through the point (-5,-1)? What is the
slope of this line?

Answers

Answer:

The equation is x = -5

The slope is 0

Step-by-step explanation:

If the line is perpendicular to the x axis, that means it is a vertical line.

Vertical lines only reach one x value, which is -5 in this case.

So, the equation will simply be x = -5.

The slope is 0.

Thomas has $50 and is saving $8per week. Matt has $150 and is saving $3 per week. At some point, both boys will have the same amount of money. After how many weeks will the bos have the same amount of money? How much money will they have?

Answers

Answer:

$210 , 20 weeks

Step-by-step explanation:

[tex]50 + 8x = 150 + 3x \\ 5x = 100 \\ x = 20[/tex]

what is 3x4^3/34
need ASAP!!

Answers

Answer:

3x4^3/34

3×64/34=192/34=96/17 or 5.64

Select two figures that have the same volume.
O A. cylinder with base radius 2 and height 72
B. cylinder with base radius 4 and height 12
C. cylinder with base radius 6 and height 4
OD. cylinder with base radius 8 and height 3

Answers

Answer: The last one and the second one both have a volume of 603.18

Step-by-step explanation:

It is an f
Chen’s
Dndnmmkdmfmfmfmmfmfdndnf fhfbf did fjffjf

A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?

Answers

Answer:

10%

Step-by-step explanation:

5/50 = 10/100

10/100 = 10%

Answer:

5 gallons is 10% capacity.

Step-by-step explanation:

5 gallons accounts for 10% of a container which holds 50 gallons.

[tex](\frac{1}{10} )*50=5[/tex]

1. In 1980, approximately 6 million women enrolled in college in the United States. The number of women who enroll in college has increased at a rate of 0.14 million women per year. There were about 5.4 million men enrolled in college in 1980, and that number has increased at a rate of 0.08 million men per year. In what year (prior to 1980) were an equal number of men and women enrolled in college? ​

Answers

Answer:

Step-by-step explanation:

First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.

Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.

Once you're done, you can circle the year both were the same, and you can even plot this on a graph

Answer:

What he said above me and he is correct

Step-by-step explanation:

Can you solve number 1 please.

Answers

slope of f is 5
f(x) = 5x + 2
y= mx + b (linear equation)
m = slope b = y-int

slope of g is 2
Slope formula = change in y
——————
change in x
1. Pick two points
I choose (3,3) and (4,5)
(3,3) —-> (x1,y1)
(4,5) —-> (x2,y2)

y2 - y1 5 - 3
———- = ————- = 2
x2 - x1. 4 - 3

P = X/N (solve for X)

Answers

Answer:

Step-by-step explanation:

Multiply N on both sides

X = P*N

Answer:

[tex]X=PN[/tex]

Step-by-step explanation:

[tex]P=\frac{X}{N}[/tex]

Manipulate the literal equation using inverse operations;

[tex]P=\frac{X}{N}\\*N\\\\PN=X[/tex]

Cost price = £50
Selling price = £125
Calculate the percentage profit.

May I have the method to please

Answers

First, find the difference between the two prices. Then, divide the difference by the cost price.
75/50 = 1.5, or 150 percent

Write a linear function given the table below. Use function notation.
A. y = 4x + 1
B. y = -4x + 1
C. y = 5x - 1
D. y = 5x + 1

Answers

The answers would be B
The answer would be B

please answer and make sure youre right i got a 50

Answers

Answer and Step-by-step explanation:

First, let's solve for z.

3z - 1 ≥ -7

We add 1 to both sides.

3z ≥ -6

Now we divide both sides by 3.

z ≥ -2

Since we got this as our answer, that means  Answer choice D is the correct answer.

#teamtrees #WAP (Water And Plant)

2/4th of the area was occupied by Himalayan panda, 1/6th by Giant Panda and 2/12th by Albino panda and remaining area by brown Panda. What is the brown panda's area

Answers

Answer:

[tex](\frac{1}{6}) ^{th}[/tex] of area

Step-by-step explanation:

Area occupied by Himalayan panda = [tex]\frac{2}{4}^{th}[/tex]  of area

Area occupied by Giant Panda = [tex]\frac{1}{6} ^{th}[/tex] of area

Area occupied by Albino panda = [tex]=\frac{2}{12} ^{th}[/tex]of area

Area occupied by brown Panda = [tex](1-\frac{2}{4}-\frac{1}{6}-\frac{2}{12}) ^{th}[/tex] of area

= [tex](\frac{12-6-2-2}{12} )^{th}[/tex] of area

= [tex](\frac{2}{12}) ^{th}[/tex]of area

= [tex](\frac{1}{6}) ^{th}[/tex] of area

Answer: 3/8

Step-by-step explanation: 3/8 is the answer

Kiran is spending $12 on games and rides at a carnival, where a game costs $0.25 and a ride costs $1. The equation, 0.25x + y = 12 represents this relationship (where x is the number of games he can play and y is the number of rides he could ride).

Which graph represents the relationship between quantities? :)

Answers

Answer:

A

Step-by-step explanation:

What is the percent of increase from 8 to 10?
Write your answer using a percent sign (%).
Submit

Answers

Answer:

25%

Step-by-step explanation:

difference between 8 and 10 is 2, so 8 would need to increase by 2 to get to 10.

2 is 1/4 of 8, and 1/4 is 25%

answer is 25%

Answer:

25 percent

Step-by-step explanation:

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. What is the maximum height of the clown?

A. 45 Feet
B. 109. 4 Feet
C. 72.3 Feet
D. 87.3 Feet

Answers

Answer:

The maximum height is 46.64 feet.

Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

So, we have the function h(t):

[tex]h(t)=-16t^{2} + 45t + 15[/tex]

Taking the derivative, we have:

[tex]\frac{dh(t)}{dt}=-32t + 45=0[/tex]

Now, we solve it for t:

[tex]t=\frac{45}{32}=1.4\: s[/tex]

Finally, we put this value of t into the original equation.

[tex]h(t)=-16(1.4)^{2} + 45(1.4) + 15[/tex]

[tex]h_{max}=46.64\: ft[/tex]      

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

I hope it helps you!          

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Four well-developed limbs; a long caudal appendage; five toes, unequal in lengths, almost like one of the Lacertidae, yet there are traces of wings." The creature under his eye wriggled a little in the castor oil, and he went on: "Yes; a bat-like wing. A new specimen, undoubtedly. Effie, run round to the professor and ask him to be kind enough to step in for a few minutes.""You might give me sixpence, Daddy," said Effie, "because I did bring you the new specimen. I took great care of it inside my eye, and my eye does hurt."The doctor was so pleased with the new specimen that he gave Effie a shilling, and presently the professor stepped round. He stayed to lunch, and he and the doctor quarreled very happily all the afternoon about the name and the family of the thing that had come out of Effie's eye.But at teatime another thing happened. Effie's brother Harry fished something out of his tea, which he thought at first was an earwig. 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