After selling 35 books, the store will break-even.
Step-by-step explanation:
Given,
Cost required per day to keep store open = $105
Amount spent on each book = $12
Let,
n be the number of books.
Total costs = 12n + 105
Selling price of each book = $15
Total revenue = 15n
For braking even;
Costs = Revenue
[tex]12n+105=15n\\105=15n-12n\\105=3n\\3n=105[/tex]
Dividing both sides by 3
[tex]\frac{3n}{3}=\frac{105}{3}\\n=35[/tex]
After selling 35 books, the store will break-even.
Keywords: revenue, cost, division
Learn more about division at:
brainly.com/question/10754198brainly.com/question/10771256#LearnwithBrainly
Marcella bought 12/14 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
How many yards of ribbon does Marcella have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
[tex]6\frac{1}{12}\ yd[/tex]
Step-by-step explanation:
The correct question is
Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
How many yards of ribbon does Marcella have left?
we know that
To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella
so
[tex]12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})[/tex]
but first convert mixed number to an improper fractions
[tex]12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}[/tex]
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
[tex]3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}[/tex]
substitute in the expression above
[tex]\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})[/tex]
[tex]\frac{49}{4}-(\frac{5*3+2*11}{6})[/tex]
[tex]\frac{49}{4}-(\frac{37}{6})[/tex]
[tex]\frac{3*49-37*2}{12}[/tex]
[tex]\frac{73}{12}\ yd[/tex]
Convert to mixed number
[tex]\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd[/tex]
Final answer:
After calculating the total ribbon used in yards and subtracting it from the amount Marcella bought, we find that she has 5 13/42 yards of ribbon left.
Explanation:
To determine how many yards of ribbon Marcella has left, we need to subtract the total amount of ribbon she used from the initial amount she bought. Marcella originally bought 12/14 yards of ribbon. She used 2 1/2 yards for gift packages and 3 2/3 yards for tying balloons.
To make the subtraction easier, we'll first convert the mixed numbers to improper fractions. The mixed number 2 1/2 becomes 5/2 when we multiply 2 (the whole number) by the denominator (2) and then add the numerator (1), resulting in 4 + 1 = 5 over the original denominator 2. Similarly, 3 2/3 becomes 11/3 when we multiply 3 (the whole number) by the denominator (3) and then add the numerator (2), resulting in 9 + 2 = 11 over the original denominator 3.
Now, let's perform the subtraction:
First, simplify 12/14 to 6/7 by dividing both the numerator and denominator by 2.
Next, find a common denominator for all three fractions. The least common denominator for 2, 3, and 7 is 42.
Convert each fraction to have the denominator of 42.
12/14 yards (or 6/7 yards when simplified) is (6/7) * (42/42) which equals 36/42 yards.
2 1/2 yards as an improper fraction is 5/2, and when converted to have a denominator of 42, it becomes (5/2) * (21/21) which equals 105/42 yards. Similarly, 3 2/3 yards is 11/3, and when converted to have a denominator of 42, it becomes (11/3) * (14/14) which equals 154/42 yards.
Now subtract both of these amounts from 36/42 to find out how much ribbon Marcella has left:
36/42 - 105/42 - 154/42 = (36 - 105 - 154)/42 = -223/42
Because we cannot have a negative amount of ribbon, we realize we made an error. We should add the fractions instead of subtracting:
36/42 - (105/42 + 154/42) = (36/42) - (259/42)
This simplifies to -223/42, which is an improper fraction. To convert this back to a mixed number, we divide 223 by 42.
223 divided by 42 is 5 with a remainder of 13, so Marcella has 5 13/42 yards of ribbon left. However, we need the positive value since ribbon length cannot be negative. Thus, we keep the positive difference:
Marcella has 5 13/42 yards of ribbon remaining.
In conclusion, after Marcella uses ribbon for gift packages and tying balloons, she is left with 5 13/42 yards of ribbon.
What is the equation of the line in slope-intercept form?
y = x –
y = x +
y = x –
y = x +
Answer:
Step-by-step explanation:
All of the answer choices are in slope-intercept form.
The slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Answer:
B
Step-by-step explanation:
Solve for m.
3.6m=14.4
Enter your answer in the box.
Answer:
10.8
Step-by-step explanation:
we move the 3.6 to tge other side so the sighn of it will be negative the we subtract them so m=10.8
Answer:
m=4
Step-by-step explanation:
what is -25+(-18) Evaluated
Answer:
[tex] - 25 + ( - 18) \\ - 25 - 18 \\ = - 43[/tex]
hope this helps you....
What is 5/2 - blank = 1/3
Step-by-step explanation:
taking that blank as x
5/2 -x = 1/3
the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3
so the equation will become 5/2-1/3=x
solving the fraction then gives 13/6 or 2.17 as the value of x
The value of the equation is x = 13 / 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the unknown number be represented as x
Substituting the values in the equation , we get
( 5/2 ) - x = 1/3 be equation (1)
Adding x on both sides of the equation , we get
( 5/2 ) = ( 1/3 ) + x
Subtracting ( 1/3 ) on both sides of the equation , we get
x = ( 5/2 ) - ( 1/3 )
On simplifying the equation , we get
x = ( 15 - 2 ) / 6
x = 13 / 6
Therefore , the value of x is 13/6
Hence , the equation is x = 13/6
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
What is 10 to the power of 10
Marcus has a part-time job at the water park. He makes between $77.26 and $83.67 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 10 weeks? A. $4,202 B. $4,213 C. $4,001 D. $3,843
Answer:
c
Step-by-step explanation:
How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
Answer:
Step-by-step explanation:
The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.
Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.
we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.
We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:
Replace [tex]x[/tex] by [tex]2\cdot x[/tex]. (Dilation factor: 2)Translate the resulting expression 3 units in the +y direction. (Vertical translation)That is, we represent the operations defined above mathematically:
1) [tex]y = \log x[/tex]
2) [tex]y = \log 2\cdot x[/tex]
3) [tex]y = \log 2\cdot x + 3[/tex]
In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.
We kindly invite to check this question on transformation rules: https://brainly.com/question/17478764
Ryan is installing new flooring in his house. Ryan can install 121 square feet of flooring in 3 hours. How much new flooring can Ryan install in 24 hours?
Answer:
968 square feet
Step-by-step explanation:
Let x be the new flooring install in 24 hours.
Given:
Ryan can install 121 square feet of flooring in 3 hours.
So, Ryan can install flooring in one hour = [tex]\frac{121}{3} feet^{2}[/tex]
Ryan can install flooring in 24 hours.
[tex]x= 24\times flooring\ in\ one\ hour[/tex]
[tex]x=24\times \frac{121}{3}[/tex]
[tex]x=8\times 121[/tex]
[tex]x=968\ feet^{2}[/tex]
Therefore, Ryan can install 968 square feet of flooring in 24 hours.
I really need help. Please answer if you know the solution. Thx
D. The bottom one shows proportional relationships between x and y because it is y = .5x
(5x)+ (9y)+90 what is x and y
Answer:
Step-by-step explanation:
5x+9y+90
This is just an algebraic expression.
Each student wears a name tag while at the aquarium the name tags are rectangles that are three inches long and five inches wide what is the area of each name tag
Answer:
15 in2
Step-by-step explanation:
3*5= 15
length*width= area
Hope it helped!!!
PLZ GIVE BRAINLIEST!!!!!
Answer: 16 square inch
Step-by-step explanation: 5+5+3+3=16
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary. 1.16 0.72 1.01 1.36 1.28 1.47 1.33 0.68 1.45 0.58 0.89
Answer:
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.580 0.805 1.160 1.085 1.345 1.470
The figure attached represent the boxplot obtained.
Step-by-step explanation:
We can use the following excel code:
data<-c(1.16, 0.72, 1.01, 1.36, 1.28, 1.47, 1.33, 0.68, 1.45, 0.58, 0.89)
> summary(data)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.580 0.805 1.160 1.085 1.345 1.470
We can order the data on increasing way:
> sort(data)
[1] 0.58 0.68 0.72 0.89 1.01 1.16 1.28 1.33 1.36 1.45 1.47
And for this case we got this:
The minimum on this case is: [tex]Minimum =0.58[/tex]
The maximum would be: [tex]Maximum = 1.47[/tex]
In order to find the median we need to find the value on the 6 position from the data ordered, and we got:
[tex]Median = 1.16[/tex]
And in order to obtain the boxplot we can use R to grapth the boxplot"
> boxplot(data,main="Boxplot")
And the result is on the figurea attached.
The five-number summary of the given data set is 0.58, 0.72, 1.16, 1.36, 1.47, representing the minimum, first quartile, median, third quartile, and maximum values of the data. These can be used to create a box plot to visualize the data.
Explanation:The five-number summary of a data set includes the minimum, first quartile, median, third quartile, and maximum values of the data set. Here's how we can find those for the given radiation absorption rates:
First, sort the data in ascending order: 0.58, 0.68, 0.72, 0.89, 1.01, 1.16, 1.28, 1.33, 1.36, 1.45, 1.47. The minimum is the first value: 0.58. The maximum is the last value: 1.47. The median (second quartile) is the middle value. With 11 values, it's the sixth, so the median is 1.16. The first quartile is the median of the first half of the data (excluding the overall median if the number of data points is odd). The first half of our data is 0.58, 0.68, 0.72, 0.89, 1.01, so the first quartile is 0.72. The third quartile is the median of the second half of the data. The second half of our data is 1.28, 1.33, 1.36, 1.45, 1.47, so the third quartile is 1.36.
So, the five-number summary is: 0.58, 0.72, 1.16, 1.36, 1.47.
To make a box plot, draw a number line from the minimum to the maximum and draw a box from the first quartile to the third quartile. Draw a line (the 'median line') inside the box at the median. Finally, draw 'whiskers' from the box to the minimum and maximum.
Learn more about five-number summary here:https://brainly.com/question/27477075
#SPJ3
20.
When starting your credit history, a low-credit-limit, high-interest-rate credit card should be paid
as much as you can when due
in even payments each time
at least the minimum due
in full, on time, every time
Answer:
in full, on time, every time
Step-by-step explanation:
in full, on time, every time because even if little is left out it would again a large amount together with the interest. Also as the limit is low it can easily be reimbursed
what is the process of changing a mixed fraction into an improper fraction, like 4 1/3 into 13/3 ?
Answer:
multiply the whole number by the denominator, then add the number you get to the numerator. :) hope this was helpful!!!
Step-by-step explanation:
Answer: You have to multiply the Main number by the denominator, then add the numerator to that number, and put it above the original denominator.
Step-by-step explanation:
5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?
A X – X3 -- x² - x + 1
B x4 – x3 + x2 -- x + 1
C x4 + x3 -- x2 + x + 1
D x4 + x3 + x2 + x + 1
Answer:
B [tex]x^4-x^3+x^2-x+1[/tex]
Step-by-step explanation:
Given,
Dividend = [tex](x^5+1)[/tex]
Divisor = [tex](x+1)[/tex]
Step 1: First The dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when divided first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]
Step: 2 Now the new dividend is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]
Step: 3 Now the new dividend is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]
Step: 4 Now the new dividend is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]
Step: 5 Now the new dividend is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Hence When the polynomial [tex](x^5+1)[/tex] is divided by [tex](x+1)[/tex] the answer or quotient will be equal to [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Use the Distributive Property to rewrite the the expression -6 (r-8)
-6r+48
Step-by-step explanation:
What is the value of 5(x+2)−4(x+1) when x=1.5
Answer:
7.5
Step-by-step explanation:
5(x+2)-4(x+1)
5x+10-4x-4
5x-4x+10-4
x+6
1.5+6=7.5
Answer:
7.5
Step-by-step explanation:
Substitute 1.5 into the equation
5(1.5+2) − 4(1.5+1)
5(3.5) − 4(2.5)
17.5 - 10 = 7.5
with the exception of the first house, all the houses on sequence lane have an address whose numerical portions are greater than that of the prior house. if ainsley and lane are next door neighbors and the sun of the numerical portions of their addresses is 49, what are their addresses ?
Answer:
The address of Ainsley is 24 and that of Lane is 25.
Step-by-step explanation:
All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.
Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.
Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.
Therefore, x + (x + 1) = 49
⇒ 2x = 48
⇒ x = 24
So, the address of Ainsley is 24 and that of Lane is 25. (Answer)
Can yall help me pls i really need help Pls
Answer:
Step-by-step explanation:
Money spent on jersey and pant = 65 * 17.50 + 65*11 = 65 * (17.50+11)
= 65 * 28.50 = $1852.50
on the cordinate plane what is the distance between the ponts -4,6 and 9,6
Answer:
13Step-by-step explanation:
METHOD 1:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates of the given points (-4, 6) and (9, 6):
[tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]
METHOD 2:
We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).
The formula of a distance between two numbers:
[tex]d=|b-a|[/tex]
We have
[tex]a=-4,\ b=9[/tex]
Substitute:
[tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]
Two candidates ran for class president. The candidate that won received 80% of the 270 total votes. How many votes did the
winning candidate receive?
Answer:
216
Step-by-step explanation:
Multiply 80x270, which gives you 21,600, then move the decimal at the end of the number two times to the left and you'll get 216
3/4÷5 equal djdjjfjfndjdjdjrj
Answer:
0.15
Step-by-step explanation:
3/4÷5
Which value in the replacement set is a solution to this equation?
2n + 5 = 27
Replacement set: {11, 12, 13}
Drag Answer To The Box.
Answer:
11
Step-by-step explanation:
2x11 equals 22, and that plus 5 is 27
Which of these is a complex number?
A. 9 + 375
OB. 5/1 3 - 2
oc. 2 - 1 / 1
OD. + A
Explanation:
Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.
So, lets move forward.
A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.
So,
In [tex]a+ib[/tex],
"i" is called iota.[tex]i=\sqrt{-1}[/tex]For example, let us consider
[tex]2 + \sqrt{-1}[/tex]
Here, 2 is a real part, And [tex]\sqrt{-1}[/tex] is imaginary part, meaning [tex]i=\sqrt{-1}[/tex], which is imaginary part.Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.
Keywords: complex number, iota
Learn more about complex numbers from brainly.com/question/12382226
#learnwithBrainly
Bryce can afford a $350-per-month car payment. If he is being offered a 6-
year car loan with an APR of 4.2%, compounded monthly, what is the value of
the most expensive car he can afford?
O
A. $25,196.78
B. $22,241.32
O
c. $25,167.83
O D. $24,880.83
Answer: $22,241.32 APEX
Final answer:
By calculating the present value of an annuity using the monthly payment, interest rate, and number of payments, we find that Bryce can afford a car with a value of approximately $22,241.32.
Explanation:
To calculate the value of the most expensive car Bryce can afford based on a $350-per-month car payment with a 6-year loan at an APR of 4.2%, compounded monthly, we use the formula for the present value of an annuity:
PV = PMT × ¶ [(1 - (1 + r)^-nt) / r]
Where:
PV = Present Value (what we're solving for, the cost of the car)
PMT = Monthly Payment ($350)
r = monthly interest rate (APR divided by 12)
n = number of times the payment is made per year (12)
t = number of years (6)
Given:
APR = 4.2% per year or 0.042
Monthly interest rate, r = 0.042 / 12 = 0.0035
nt = 12 × 6 = 72 payments in total
Now we substitute the given values into the formula:
PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]
PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]
PV ≈ $350 × [(1 - (1.0035)^-72) / 0.0035]
Using a calculator to find (1.0035)^-72 and then the whole expression, we get:
PV ≈ $350 × 60.4774
PV ≈ $21,167.09
The value that's closest to our calculation and offered in the options is $22,241.32, so the most expensive car Bryce can afford is approximately $22,241.32.
15 POINTS!!!!!! HELPPPPP ASAP A music store has 500 guitar picks. They order 15 boxes with 9 picks each. They sell 19 boxes that have 10 picks each. The store manager says they now have about 450 guitar picks.
Is the manager's estimate reasonable?
500 guitar picks
order 15 boxes with 9 picks each
sell 19 boxes with 10 picks each
-> the store ordered about 150 picks (15 x 9 -> 15 x 10)
-> the store sold about 200 picks (19 x 10 -> 20 x 10)
it is reasonable, since they have 50 fewer picks which is about 450.
(second option)
At washington middle school 64% of the students play a sport. if 192 play a sport, how many students attend washington middle school?
300 students attend Washington middle school.
Step-by-step explanation:
Given,
Percentage of students who play sport = 64%
Number of students who play sport = 192
Let,
x represent the total number of students at Washington middle school.
64% of x = 192
[tex]\frac{64}{100}x=192\\0.64x=192[/tex]
Dividing both sides by 0.64
[tex]\frac{0.64x}{0.64}=\frac{192}{0.64}\\x=300[/tex]
300 students attend Washington middle school.
Keywords: percentage, division
Learn more about division at:
brainly.com/question/1369568brainly.com/question/1386181#LearnwithBrainly
The formula to determine continuously compounded interest is A = Pe^rt, where A is the amount of
money in the account, P is the initial investment, r is the interest rate, and t is the time, in years.
What equation could be used to determine the value of an account with an $18,000 initial
investment at an interest rate of 1.25% for 24 months?
Answer:
[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]
[tex]A=18455.67[/tex] (Approximated)
Step-by-step explanation:
[tex]A=Pe^{rt}[/tex]
We are given the following along with the equation we are to use:
[tex]P=18000[/tex]
[tex]r=1.25\%=\frac{1.25}{100}=0.0125[/tex]
Be careful it says [tex]t[/tex] is in years and it gives us a time that is in months.
[tex]12 \text{months}=1 \text{ year}[/tex]:
[tex]t=\frac{24}{12}=2[/tex]
Let's plug in our information:
[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]
Plugging in the right hand side into my calculator gives:
[tex]A=18455.67[/tex] (Approximated)
Translate the following question into an equation. What number is 99% of 33?
Answer:
32 is 99% of 33 cause 33 is 100% of 33
Step-by-step explanation:
Step-by-step explanation: First we have "what number" which we can represent by the variable x. Next we have is which means "is equal to" so we write an equals sign, then we have 99% which we need to write as a decimal so we move the decimal point 2 places to the left to get 0.99 and "of 33" means times 33.
Now we have the following equation.
X = (.99)(33)