Answer:
a 25 questions, 4 points b 19 questions
Step-by-step explanation:
a 96:100 = 24 : x
x = (100 x 24)/96 = 25 questions
100 : 25 = 4 points
b 76:100 = x : 25
x = (76 x 25)/100 = 19 questions
Answer:
Question 1:
There are 25 questions on the test.
Each question is worth 4 marks each.
Question 2:
Your friend answered 19 questions correctly
Step-by-step explanation:
Question 1:
question answered = 24
percent earned = 96%
total number of points = 100%
[tex]\frac{questions answered }{percentage earned}[/tex] x 100
[tex]\frac{24}{96}[/tex] x 100 ⇒ 0.25 x 100 ⇒ 25
there are 25 questions on the test
[tex]\frac{100}{25} = 4[/tex]
each question is 4 marks each
Question 2:
percent earned by your friend = 76%
(percent earned by your friend x total number of question) ÷ 100
76 x 25 ÷ 100
1900 ÷ 100
= 19
Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4,128 books
Step-by-step explanation:
Let
x = number of books
Fixed cost = $44,376
Variable cost = $8.25 per book
Total cost = fixed cost + variable cost
Total cost = 44,376 + 8.25x
Selling price of book = $19 per book
Total revenue = 19x
How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Total cost = Total revenue
44,376 + 8.25x = 19x
44,376 = 19x - 8.25x
44,376 = 10.75x
x =44,376/10.75
x = 4,128 books
The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales
A piggy bank contains six times as many quarters as dimes. If the total amount of money
is $28.80, how many quarters and dimes are in the piggy bank?
9514 1404 393
Answer:
108 quarters18 dimesStep-by-step explanation:
A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...
$28.80/$1.60 = 18
groups like that in the piggy bank.
The number of quarters is 18×6 = 108.
The number of dimes is 18×1 = 18.
There are 108 quarters and 18 dimes in the piggy bank.
A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.
Answer:
[tex]P(CD) = \frac{1}{10}[/tex]
Step-by-step explanation:
Given
[tex]AK = 10[/tex]
See attachment for line AK
Required
Probability of choosing CD
From the attachment:
[tex]CD=D-C[/tex]
[tex]CD=3 - 2[/tex]
[tex]CD = 1[/tex]
So:
[tex]P(CD) = \frac{CD}{AK}[/tex]
[tex]P(CD) = \frac{1}{10}[/tex]
pls help with math question !
thank you !!
Answer:
42 degrees
Step-by-step explanation:
All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=84+54+a\\180=138+a[/tex]
Subtract both sides by 138
[tex]180-138=138+a-138\\42=a[/tex]
I hope this helps!
find the area will mark brain list
Answer:
43
Step-by-step explanation:
18+10=28 10+5=15 15+28=43
-0.6 ÷ 3/4
1. 0.8
2. -0.8
3. -0.15
4. 0.15
plsssss help with math questionnn
Answer:
978&4578-+:(0
Step-by-step explanation:
nkvjlhbkl
5b2+28=
b=1.5
PLEASE HELP ME!!!
Answer:
39.25
Step-by-step explanation:
I am assuming that 5b2 means 5b to the power of 2.
5(1.5)^2+28
5(2.25)+28
11.25+28
39.25
A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
Answer:
11.28m
Step-by-step explanation:
The computation of the height of the spire is shown below:
let us assume the height of the spire be x
Now
For triangle ABD
Tan 43 degrees = h ÷ x
x = h × cot 43 degrees
= 1.07236 h
For triangle ABC
tan 15 degrees = h ÷ (30 + x)
0.2679 = h ÷ 30 + 1.07236h
8.038 + 0.28728 h = h
h = 11.28m
100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.
Answer:
this is your answer look it once
Answer:
5: x > 6
6: x < 62
Step-by-step explanation:
[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]
[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]
if your smart what is 1 + 1= ?
Answer:
1+1=2
easy
plz mark as brainliest
WHAT IS THE TOTAL SURFACE AREA??
Answer:
210
Step-by-step explanation:
HZHZHHZHZHXHXHXDJF
Answer:
Why are you spamming questions
Step-by-step explanation:
An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.
Answer:
R(x) = (4.50 – 0.50x)(700 + 100x)
___________________________
R(x) is in factored form
Where x is each decrease in the price.
____________________________
Explanation:
R(x) is in the form ax² + bx + c.
This is where the equation is distributed and simplified [Standard form]
The maximum revenue is represented by
R(-b/2a), where the vertex of this relationship is, at x = -b/2a.
Revenue = (Price)(Quantity)
____________________________
R(x) = (4.50 – 0.50x)(700 + 100x) →
-50x² + 100x + 3150 [ax² + bx + c].
x = -b/2a
x = -(100)/2(-50)
x = -100 / -100
x = 100 / 100
x = 1
Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.
R(2) = -50(1)² + 100(1) + 3150
R(2) = -50(1) + 100 + 3150
R(2) = -50 + 100 + 3150
R(2) = 3200.
_______________________________
Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.
3x² - 12x + 8 when x = -2.
Answer:
Use photo math, it will explain literally all the steps
PLEASE HELP DUE IN 20 MINUTES
Answer:
25x3
Step-by-step explanation:
Please help
If 100% = Rs. 120, then
A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84
Answer:
Simple: C. 70% = Rs. 84
Step-by-step explanation:
cause it can't be 120% if Rs.120 is the 100%
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the area of the parallelogram. A parallelogram has a lower side measuring 24 centimeters and a right side measuring 9 centimeters. A dashed vertical segment with endpoints on the upper and lower sides is 8 centimeters and meets the lower left vertex at a right angle.
Answer:
[tex]Area = 192cm^2[/tex]
Step-by-step explanation:
The given information can be interpreted as:
[tex]Base = 24cm[/tex] --- lower side
[tex]Slant\ Height = 9cm[/tex] --- right side
[tex]Height = 8cm[/tex] --- dashed line
Required
Determine the area
The area of parallelogram is:
[tex]Area = Base * Height[/tex]
[tex]Area = 24cm * 8cm[/tex]
[tex]Area = 192cm^2[/tex]
Answer:
she like
Step-by-step explanation:
faygo u gettin bigger
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answer: 4x -8+ 125x -4x +5
There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?
Answer:
y = 1/10 x + 18/5
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line
y - 3 = 1/10(x --6)
multiply both sides by 10
10y - 30 = x + 6
Rearrange
10y = x + 6 + 30
10y = x + 36
y = 1/10 x + 36/10
y = 1/10 x + 18/5
4 km = m help please
Answer:
4000m
Step-by-step explanation:
km to m --> multiply by 1000
4km * 1000 = 4000m
Which side lengths form a right triangle?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
2
,
15
,
17
2,15,172, comma, 15, comma, 17
(Choice B)
B
1
,
8
,
65
1,8,
65
1, comma, 8, comma, square root of, 65, end square root
(Choice C)
C
2
,
80
,
9
2,
80
,92
Answer:
B
Step-by-step explanation:
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?
Answer:
53.2 ft
Step-by-step explanation:
A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?
We solve the above question using the Trigonometric function of Sine
sin theta = Opposite/Hypotenuse
Theta = 70°
Hypotenuse = x = Length of the wire
Opposite = 50ft antenna
Hence,
sin 70 = 50/x
Cross Multiply
50 = sin 70 × x
x = 50/sin 70
x = 53.208888624 ft
Approximately x = 53.2 ft
The length of the wire is 53.2 ft
What is the percent increase when 7,200 increases by 1,800?
20 percent
25 percent
O 54 percent
O 80 percent
Answer:
25%
Step-by-step explanation:
To find the percent increase, take the increase amount over the original amount
1800/7200
.25
Multiply by 100 to get a percent
25%
25 percent
7200 divided by 1800 is 25
HOPE THIS HELPS
In a survey of 1000 eligible voters selected at random, it was found that 100 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)
Answer:
A. 8%
B. 39.6%
C. 58.4%
D. 41.6%
Step-by-step explanation:
Computation to determine the probability of eligible voter selected at random
First step is to Draw up a contingincy table which will include Rows = Degree/No degree
and Columns= Vote/Not vote
..............Vote..No vote
Degree 80...20...100
(80%*100=80)
(100-80=20)
No Degree 504..396..900
(1000-100=900)
(56%*900=504)
(504-900=396
Totals 584..416...1000
(80+504=584)
(20+396=416)
(900+100=1,000)
Summary
..............Vote..No vote
Degree 80...20...100
No Degree 504..396..900
Total Totals 584..416...1000
A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.
P = 80/1,000
P=0.08*100
P=8%
Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%
B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.
P =396/1000
P=0.396*100
P=39.6%
Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%
C. Calculation to determine the probability if The voter voted in the last presidential election.
P = 584/1,000
P=0.584*100
P=58.4%
Therefore the probability if The voter voted in the last presidential election will be 58.4%
D. Calculation to determine the probability if The voter did not vote in the last presidential election.
P = 416/1000
P=0.416*100
P=41.6%
Therefore the probability if The voter did not vote in the last presidential election will be 41.6%
what ratio below is not equivalent to the ratio 10:35
Answer:
1/2
Step-by-step explanation:
In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.
What is a ratio?The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.
The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.
Thus the correct option is A, B and C.
To know more about ratio, visit;
https://brainly.com/question/29192438
#SPJ3
Your question is incomplete most probably your full question was:
what ratio below is not equivalent to the ratio 10:35
A. 3:5
B. 2:4
C. 1:3
D. 2:7
A chess club with 20 members is electing a new president. Isabel received 7 votes. What percentage of the club members voted for Isabel?
Answer: 35%
Explanation: Divide 7/20
The surface of a trampoline has a radius of 6 ft.
What is the area of the surface of the trampoline?
36π ft²
18π ft2
36 ft2
18 ft2
Answer:
36π ft²
Step-by-step explanation:
please mark me as brainliest
Answer:
the area of the surface of the trampoline with radius =πr²=π×6²=36πft²
Which expression is equivalent to 8 + 2x?
Answer:
2(4+x)
Step-by-step explanation:
