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%
A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?
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]
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
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
The graph of which equation is shown below????
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
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?
Answer:
$210 , 20 weeks
Step-by-step explanation:
[tex]50 + 8x = 150 + 3x \\ 5x = 100 \\ x = 20[/tex]
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?
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.
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
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°
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:
The perimeter of a square is 44 meters. Find the length of a diagonal of a square.
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.
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
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.
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 $
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! :)
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.
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?
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
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? :)
Answer:
A
Step-by-step explanation:
Can you solve number 1 please.
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
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
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
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
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!
please answer and make sure youre right i got a 50
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)
What is the percent of increase from 8 to 10?
Write your answer using a percent sign (%).
Submit
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:
PLEASE QUICK WILL GIVE BRAINLESS
Which number is the additive inverse of -44 -422 -47 1 2 2
Answer:
Multiplicative inverse of 2 1 2
The opposite of 212 is −12 . The reciprocal of 212 is 25
Step-by-step explanation:
Cost price = £50
Selling price = £125
Calculate the percentage profit.
May I have the method to please
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
Answer: The last one and the second one both have a volume of 603.18
Step-by-step explanation:
P = X/N (solve for X)
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]
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?
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:
very simple questions i just need answers bc this is very late, 15 points and maybe branilist!
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
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?
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.
what is 3x4^3/34
need ASAP!!
Answer:
3x4^3/34
3×64/34=192/34=96/17 or 5.64
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
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
Can you explain the answer of -2 + 2 divided by 2?
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)
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?
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.