Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.
Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain
operating cost = 1800 + 10c
where
c = number of cakes sold each day
The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost 1,800 + 10c for them to make profit.
15c > 1,800 + 10c
What is the surface area of the pyramid?
A 160
B 188
C 224
D 256
PLEASE HELP ASAP
Answer:
160
Step-by-step explanation:
one of the triangle faces:
4 × 6 = 24cm^2
theres 4 triangle faces so 24 × 4 = 96 cm^2
then u have to add on the square face which is 8×8 =64cm^2
total:
64 + 96 = 160cm^2
Answer:
A your welcome
Step-by-step explanation:
10x + 9y = -17
10x – 2y = 16
what is the solution
Answer:
x = 1 and y = -3
Step-by-step explanation:
Subtract eqn 1 from eqn 2
11y = - 33
y = -3
Substituting y into eqn 2...
10x - 2(-3) = 16
10x +6 = 16
10x = 10
x = 1
The solution to the system of equations 10x + 9y = -17 and 10x - 2y = 16 is x = 1 and y = -3. This solution was found using the elimination method, which involved manipulating the equations to eliminate one variable and then solving for the other.
Explanation:The question is related to the system of linear equations. A set of linear equations with the same variables is known as a system of equations. Here we have two equations; 10x + 9y = -17 and 10x - 2y = 16. The solution to this system of equations is the ordered pair (x, y) that satisfies both equations. We can find this by using the method of substitution or elimination.
Here's the solution using the elimination method:
First multiply the second equation by 9 and the first one by 2.You will get:So, the solution for the system of equations is x = 1 and y = -3.
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Latoya performs an experiment using the lab equipment shown.
Which two properties is Latoya most likely measuring?
mass and volume
volume and temperature
temperature and length
length and mass
Answer
B volume and temp
Step-by-step explanation:
The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped
Answer:
B
Step-by-step explanation:
Could you please answer this question?
Only answer question 26
The answers are: x = 5 y = -2
Please use the elimination method to answer this question
Answer:
.
Step-by-step explanation:
3x - y = 17 .......A
10 × [x/5 + y/2] = 10 × 0
2x + 5y = 0 .......B
......A× 5 both 2 sides of equation
15x - 5y = 85 .....C
......B + ........C
2x + 15x = 0 + 85
17x = 85
x = 85/17
x = 5
put x value in ........A or .......B or ......C
you will receive y = -2
A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space, m, e, t, e, r, s, end text. What is the area AAA of the sumo wrestling ring in square meters? Give your answer in terms of \piπpi.
Answer:
The area of the wrestling ring is 5.29π [tex]m^2[/tex]
Step-by-step explanation:
A sumo wrestling ring is circular and has a circumference of 4.6π meters.
To find its area, we need to first find its radius.
The circumference of a circle is given as:
[tex]C = 2 \pi r[/tex]
where r = radius
Hence, the radius of the ring will be:
[tex]4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m[/tex]
The radius of the ring is 2.3 m.
The area of a circle is given as:
[tex]A = \pi r^2[/tex]
Hence, the area of the wrestling ring (in terms of π) will be:
[tex]A = \pi * 2.3^2[/tex]
[tex]A = 5.29\pi[/tex] [tex]m^2[/tex]
The area of the wrestling ring is 5.29π [tex]m^2[/tex]
Which number is greater: 1/4 or 5/4 ?
Answer:
1/4 < 5/4
Step-by-step explanation:
Since the numbers have the same denominator, we compare the numerators
1 < 5
so 1/4 < 5/4
Answer:
5/4
Step-by-step explanation:
Hello there!
Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.
5>1, so 5/4 is greater.
:)
Find the sum of the first 7 terms of the following series, to the nearest integer.
15,3, 3/5
Answer:
19
Step-by-step explanation:
This is a geometric series.
15, 3, (3/5), ...
common ratio r = 3/15 = (1/5)
a_1 = 15
Formula for nth term: a_n = a_1 * r^(n-1)
a_n = 15 *(1/5)^(n - 1)
We want the sum of the first 7 terms.
S = a_1 * ( r^n - 1) / (r - 1)
here let n = 7
S = 15 * ( (1/5)^7 - 1 ) / ( (1/5) - 1)
S = 15 * ( (1/5)^7 - 1) / (-4/5)
S = 15 * (5/-4) * ( (1/5)^7 - 1)
S = ( -75/4 )* (-0.9999872)
S = - (-18.74976) = 18.749...
The sum is about 19
The sum of the first 7 terms of the following series is 18.74.
What is a geometric sequence?'A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite number of terms.'
According to the given problem,
Sequence = { 15, 3, [tex]\frac{3}{5}[/tex] }
Let the common ratio be r,
Let the first term of the sequence be a,
⇒ a × r = second term
⇒ 15 × r = 3
⇒ r = [tex]\frac{3}{15}[/tex]
⇒ r = [tex]\frac{1}{5}[/tex]
We know,
Sum of n number of terms in a geometric sequence can be represented by,
[tex]S_{n} = \frac{a(1-r^{7}) }{1-r}[/tex]
⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7} ) }{1-\frac{1}{5} }[/tex]
⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7}) }{\frac{4}{5} }[/tex]
⇒ [tex]S_{7}= \frac{5*15(1-(\frac{1}{5})^{7} ) }{4}[/tex]
⇒ [tex]S_{7}= \frac{125(0.999)}{4}[/tex]
⇒ [tex]S_{7}=\frac{74}{4}[/tex]
⇒ [tex]S_{7} = 18.74[/tex]
Hence, we can conclude, the sum of the first 7 terms of the geometric sequence is 18.74.
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The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
A summary of the data is as follows;
1. Maximum = 34
2. Minimum = 24
3. The 1st quartile is 27
4. The median is or the 2nd quartile 34
5. The 3rd quartile is 33
The data is summarized in the attached box plot
Step-by-step explanation:
24, 25, 29, 30, 31, 31, 32, 34, 34
From the given data, we have the five values of a box and whisker plot as follows;
1. Maximum = 34
2. Minimum = 24
3. The 1st quartile is the [tex]\frac{9 + 1}{4} th[/tex] term or 27
4. The median (2nd quartile) is the [tex]\frac{9 + 1}{2} th[/tex] term or 34
5. The 3rd quartile is the [tex]\frac{3(9 + 1)}{4} th[/tex] term or 33
Hence the attached box plot summarizes the data.
Answer: C
Step-by-step explanation:
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 99.2% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.
Answer:
Given:
Sample size, n = 640
Since result showed that 99.2% of them would erase all of their personal information online if they could, we have:
P' = 99.2% = 0.992
Let's take p = 50%
Our null and alternative hypothesis will be :
H0 : u = 0.5
H1 : u > 0.5
In this case we are to check for the test statistic.
[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]
[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]
= 24.9
Test statistic, Z = 24.893
In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.
I need to know this plz and thank u
The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?
Answer:
It is the second one
Step-by-step explanation:
Hope it helps and rate my answer
;);)
Answer:
between 150 and 200
Step-by-step explanation:
corect on edge
Find the measure of an angle between 0 and 360 that is coterminal with an angle measuring -800
Answer
280
Step-by-step explanation:
Answer:
280 then 80
Step-by-step explanation:
right on edg2020
Twelve of the 20 students in Ms. Sarno’s homeroom are female. Each month, Ms. Sarno randomly selects a student to act as “teacher’s helper.”
Which simulation best models the selection of female “teacher’s helpers” for January, February, March, and April?
A spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times.
A coin, with heads up representing female students, is flipped 4 times.
A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.
A number cube, with odd numbers representing female students, is rolled 12 times.
Answer:
the answerr is C
Step-by-step explanation:
Tomas brought $32.00 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Tomas had $4.50 left over after buying these items.
Answer:
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Step-by-step explanation:
Let the price of the brush be b.
Let the price of the sketchbook be s.
Let the price of the paint set be p.
The brush was 1/4 as much as the sketchbook. This means that:
b = 1/4 * s = s/4_______________(1)
The sketchbook was 2/3 the cost of the paint set. This means that:
s = 2/3 * p
=> p = 3s/2 __________________(2)
Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:
b + s + p + 4.50 = 32.00 ___________(3)
Put (1) and (2) in (3):
=> s/4 + s + 3s/2 + 4.50 = 32.00
Collect like terms and simplify:
11s/4 = 32.00 - 4.50 = 27.5
=> s = (27.5 * 4) / 11
s = $10
Put this back in (1) and (2):
b = 10 / 4 = $2.5
and
p = (3 * 10) / 2 = $15
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Answer:
I want to delete my answer because the one already answered is correct.
Judith went shopping with $50 and spent $45. What percentage of her money did she spend
Answer:
90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.
$45 ÷ $50 = 0.9
You would then multiply the decimal times 100 to convert the decimal to a percentage.
0.9 · 100 = 90
the dimension of a rectangle piece of paper are 8.5 and 11 inches.veronicafolded the piece of paper along its diagonal.which measurement is closest to the lenght of the diagonal is inches?
Answer:
13.90 inches
Step-by-step explanation:
The sides of rectangle are 8.5 and 11 inches.
According to question diagonal needs to calculated.
The diagonal , and two sides of rectangle will forma a right angled triangle.
Right angle as it constitute a right angle of rectangle as well.
To understand more
construct a rectangle ABCD
then one of its diagonal will be AC if we take triangle ABC.
angle ABC will be right angled at B.
for triangle ABC . diagonal AC will be hypotenuse
So diagonal can be computed using Pythagoras theorem
which states that if a and b are two sides of right angled triangle containing the right angle then hypotenuse is given by [tex]\sqrt{a^2+b^2}[/tex].
____________________________________________
In the problem
two sides are of length 8.5 and 11 inches
So, diagonal is hypotenuse which can be calculated by [tex]\sqrt{8.5^2+11^2}\\=>\sqrt{72.25+121}\\=>\sqrt{193.25}\\=>13.90[/tex]
thus length of diagonal is 13.90 inches.
If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is and the equation will have .
Solve the equation x^2-3x-10=0 by factoring
Answer:
Step-by-step explanation:
hello :
x²-3x-10=0 means : (x-5)(x+2)=0
x-5=0 or x+2=0
conclusion two solutions : 5 and -2
The solutions to the quadratic equation x² - 3x - 10 = 0 are x = 5 and x = -2.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
x² - 3x - 10 = 0
To solve the quadratic equation x² - 3x - 10 = 0 by factoring, we need to find two binomials whose product equals the quadratic equation.
x² - 3x - 10 = 0
Factor the expression x² - 3x - 10 using the AC method:
Consider a pair of integers whose product is -10 and whose sum is -3.
We use -5 and 2:
Hence:
Write the factored form using these integers:
( x - 5 )( x + 2 ) = 0
Equate each factor to zero and solve for x:
( x - 5 ) = 0
x - 5 = 0
x = 5
Also, ( x + 2 ) = 0
x + 2 = 0
x = -2
Therefore, the values of x are 5 and -2.
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A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The
people surveyed included 12 people who said they preferred the roast beef
Sandwich. Based on this information, how many of the first 150 sandwich
orders should the deli predict will be for roast beef?
Answer:
i think it's 36, but i'm not sure
Step-by-step explanation:
12 is 24 percent of 50, and 24 percent of 150 is 36
A ratio shows us the number of times a number contains another number. The number of people who prefer roast beef sandwiches out of 150 people is 36.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that in a sample of 50 people, 12 were the people who preferred roast beef sandwiches. Therefore, the ratio of people who prefer roast beef sandwiches to the total number of people surveyed will be,
[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}[/tex]
Similarly, if the ratio is applied to a group of 150 people,
[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}\\\\\\\dfrac{\text{People who prefer roast beef sandwich}}{\text{150}} = \dfrac{12}{50}\\\\\text{People who prefer roast beef sandwich}=36[/tex]
Hence, the number of people who prefer roast beef sandwiches out of 150 people is 36.
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Pleeeaase can u helppp meee thanks will mark brainliest!!
Answer:
140 cubic cm
Step-by-step explanation:
v=1/3 bh
b=1/2(3) (5) (4)=60
b=1/2(60)=30
v=1/3(60)7=420
420/3=140
hope this helps
What is the sale price of a $15 shirt that is 20% off? (round to the nearest cent)
Answer:
12
Step-by-step explanation:
sale price is (100-20)% of 15 = 80/100 * 15 = 12
A store sells 5 T-shirts for $46.45. What is the unit cost per T-shirt?
Answer:$9.29
Step-by-step explanation:For unit rate finding the value of one is the objective. Easiest way to find it is by dividing the value (the amount of money being payed) by the amount beig sold ( the 5 shirts) so basically $46.45 ÷ 5
Answer:
9.25
Step-by-step explanation:
Surface area of a triangular prism
Answer:
96
Step-by-step explanation:
Answer: You need to use the formula to solve this equation
step-by-step explanation:
Area of a triangle= A = 1/2bh
Area of a rectangle= A = lw
Surface area of triangular prism= SA = bh + (s1 + s2 + s3)H
Use that formula to solve the problem.
I hope this helps
If you need more add my s n a p (i'll put it in the comments section) and send a picture of your work and i'll helpFind the equation of the line described below. Write the equation in slope-intercept form, if possible, and graph the line. Contains (1,2) slope=3
Answer:
The equation of the line is y = 3x - 1
Step-by-step explanation:
In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.
Mathematically, the slope-intercept form of a line can be written as;
y = mx + c
where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C
To get this, we plug the values in the question into the equation of the straight line.
Here, we say y = 2, x = 1 and m = 3
2 = 3(1) + c
c = 2-3
c = -1
Thus, the equation of the line is y = 3x - 1
plz help will mark brainlest
Answer:
81pi meter squared
Answer:
81π m²
Step-by-step explanation:
Formula: C=2πr
The circumference of the column is 18π meters so therefore: 18π=2πr
Divide the both sides by 2π:
r= 9 meters
Now find the area:
Formula for Area: A=πr²
Therefore: A= π · 9² = 81π meters²
Find the area of the shape shown below.
Answer:
27
Step-by-step explanation:
Answer:
(B+b)xh/2 = formula for the area of the trapeze
so (9+3)x3/2= 12x3/2 = 6x3 = 18
you need to make p loaves of bread each loaf requires 355 grams of flour you already have 115 grams at home choose the expression you need to buy
IF U SMART I WANNA SEE U ANSWER THIS Q! 11ponits?
Answer is 1.6 pounds
.02 is not big enough to round up, so round down
- 3/7 divided by 3/8 equals ? write answer is simplest form.
Answer:
-1 and 1/7
Step-by-step explanation:
i dont know how to explain it sorry
Answer:
- 8/7
Step-by-step explanation:
- 3/7 divided by 3/8
- 3/7 ÷ 3/8
- 3/7 × 8/3
- 24/21 = - 8/7
Thus, - 3/7 divided by 3/8 equals - 8/7
-TheUnknownScientist
Sam is 18 and Bill is 24. how many years ago was Bill three times as old as sam
Answer:
15 years ago
Step-by-step explanation:
So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.
Answer:
The answer is 15 years
Step-by-step explanation: