Answer:
The answer to your question is B. He will pay $431.
Step-by-step explanation:
potatoes are on sale at four different grocery stores. Which offers the lowest unit rate for potatoes in dollars per pound?
Answer:
Veggie delight
Step-by-step explanation:
It's is 0.40/pound
1/5 multiplied by 2/1 = 0.40 (veggie delight)
Green thumb is 5/1 multiplied by 1/10 = 0.50
Nature garden is 3/1 multiplied by 1/5= 0.60
Farmers Dell is 0.70
Answer: Veggie delight
Step-by-step explanation: It's is 0.40/pound1/5 multiplied by 2/1 = 0.40 (veggie delight)Green thumb is 5/1 multiplied by 1/10 = 0.50Nature garden is 3/1 multiplied by 1/5= 0.60Farmers Dell is 0.70 i hope this helps <3 (;The square of 6 over 7 is?
Answer:
279936
Step-by-step explanation:
6 to the power of 7 is 279936, your welcome
I need help with this now please. It’s very important.
Answer:
Step-by-step explanation: does it give you options on what you can say?
if you go out with 3 friends and your meal was $72.50, there is a 8% sales tax and you should tip the waiter 15%. How much should each person pay?
Rounding to the nearest cent, each person should pay approximately $22.51.
To ascertain the sum every individual ought to pay, we really want to consider the expense of the dinner, deals charge, and the tip.
Fee for the meal: $72.50 tax on sales: 8 percent of $72.50 in sales tax equals $5.80 in total cost before tax: $72.50 + $5.80 = $78.30
Tip: 15% of $78.30
Tip sum = 15/100 * $78.30 = $11.75
All out cost with duty and tip: $78.30 + $11.75 = $90.05
Presently, we'll partition the complete expense by the quantity of individuals (4 for this situation) to find how much every individual ought to pay:
$90.05 x 4 = $22.5125, or approximately $22.51 per person rounded to the nearest cent.
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Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit
she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum
number of outfits, n, that she should sell?
Answer:
6 outfits
Step-by-step explanation:
6 x 5 = $30 + $40 = $70
a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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2x+3y=0
x+2y=1
solving systems by substitution
Answer: x=-3, y=2
Step-by-step explanation: to solve using substitution, we need either x or y by itself in one equation. let's use x from the 2nd equation since it doesn't have a constant.
so the first equation stays the same at 2x+3y=0
for the second equation, rearrange to solve for x by moving the 2y to the right -> x=2y-1
then, we can plug in this x value to x in the first equation to get,
2(2y-1)+3y=0
then solve for y,
4y-2+3y=0
4y-3y=2
y=2
then to solve for x, plug in y in either of the initial equations. lets choose the second one.
so you'd have,
x+2(2)=1
x+4=1
x=-3
What is the solution to the equation modeled below?
DO NOT PUT X = IN YOUR ANSWER. JUST PUT THE NUMBER. YOU CAN
PUT EITHER A FRACTION OR A DECIMAL - EITHER ONE IS OKAY.
Answer:
-1/2 or -0.5
Step-by-step explanation:
Raymond bought a chili dog for $3.50. He had a 10% off coupon to use. What is the final cost of the chili dog?
Answer:
The chili dog would cost $3.15 after 10% off
Step-by-step explanation:
Divide
\(3.50/100=0.035\)
Subtract 10%
\(100-10=90\)
Multiply
\(0.035 * 90 = 3.15\)
...............................
Answer:
804.2
Step-by-step explanation:
Formula
\(\pi r^{2}\)
plug in
\(\pi *16^{2}\)
≈ 804.24772
round to nearest tenth
≈ 804.2
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→0 e3x − 1 − 3x x2
It looks like the limit is
\(\displaystyle \lim_{x\to0} \frac{e^{3x} - 1 - 3x}{x^2}\)
L'Hôpital's rule works in this case; applying it twice gives
\(\displaystyle \lim_{x\to0} \frac{e^{3x} - 1 - 3x}{x^2} = \lim_{x\to0} \frac{3e^{3x} - 3}{2x} = \lim_{x\to0} \frac{9e^{3x}}{2} = \boxed{\frac92}\)
each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends up with 3 balls, another with 5 balls, and the other three with 4 balls each. let q be the probability that every bin ends up with 4 balls. what is p q ?
if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.
First, let us label the bins with 1,2,3,4,5.
Applying multinomial distribution with parameters n=20 and p1=p2=p3=p4=p5=15 we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:
5−2020!3!5!4!4!4!
But of course, there are more possibilities for the same division (3,5,4,4,4) and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:
p=20×5−2020!3!5!4!4!4!
In a similar way we find:
q=1×5−2020!4!4!4!4!4!
So:
pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16
thus, pq = 16.
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Solve the following system of linear equations ( Step-by-step)(Tell me, what is x,y,z):
2x - 3y + 6z = -12
5x + 2y - 8z = 29
7x + 6y + 4z = 49
The solution to the linear system of equation is x = 3, y = 5, and z = -0.5
What is a linear system of equation?A system of linear equations is a set of linear equations that involve the same variable and which work or are operated (simultaneously) together
The system of linear equation is presented as follows;
2·x - 3·y + 6·z = -12...(1)
5·x + 2·y - 8·z = 29...(2)
7·x + 6·y + 4·z = 49...(3)
Multiplying equation (1) by 5 and equation (2) by 2, we get;
5 × Equation (1) ⇒ 10·x - 15·y + 30·z = -60...(4)
2 × Equation (2) ⇒ 10·x + 4·y - 16·z = 58...(5)
Subtract equation (4) from equation (5), to get;
10·x - 10·x + 4·y - (-15·y) - 16·y - 30·z = 58 - (-60) = 118
19·y - 46·z = 118...(6)
Multiplying equation (1) by 7 and equation (3) by 2, we get;
7 × Equation (1) ⇒ 14·x - 21·y + 42·z = -84...(7)
2 × Equation (3) ⇒ 14·x + 12·y + 8·z = 98...(8)
Subtracting equation (7) from equation (8), we get;
14·x - 14·x + 12·y - (-21·y) + 8·z - 42·z = 98 - (-84) = 182
33·y - 34·z = 182...(9)
Multiplying equation (6) by 33 and equation (9) by 19, we get;
627·y - 1,518·z = 3,894...(10)
627·y - 646·z = 3,458...(11)
Subtracting equation (10) from equation (11), we get;
627·y - 627·y -646·z - (-1,518·z) = 3,458 - 3,894 = -436
872·z = -436
z = -436 ÷ 872 = -0.5
z = -0.5
From equation (6), we have;
19·y - 46·z = 118
19·y - 46 × (-0.5) = 118
19·y - 46 × (-0.5) = 118
19·y = 118 + 46 × (-0.5) = 95
y = 95 ÷ 19 = 5
y = 5
From equation (1), we get;
2·x - 3·y + 6·z = -12
2·x - 3 × 5 + 6 × (-0.5) = -12
2·x = -12 + 3 × 5 - 6 × (-0.5) = 6
x = 6 ÷ 2 = 3
x = 3
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A sample of phosphorus-32 has a half-life of 14.28 days.
If 55 g of this radioisotope remain unchanged after approximately 57 days, what was the mass of the original sample?
:
Using the radioactive decay formula: A = Ao*2^(-t/h), where
A = resulting amt after t time
Ao = initial amt (t=0)
t = time
h = half-life of substance
The mass of the original sample of phosphorus-32 was approximately 717.7 grams.
To solve this problem, we can use the radioactive decay formula:
A = Ao * 2^(-t/h)
Where:
A = resulting amount after time t
Ao = initial amount (at t=0)
t = time
h = half-life of the substance
In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.
After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:
55 = Ao * 2^(-57/14.28)
To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):
55 / 2^(-57/14.28) = Ao
Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.
Therefore, the initial mass, Ao, is:
Ao = 55 / 0.07666 ≈ 717.7 g
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Determine which of the following expressions are part of the greatest common factor of 54 mrt and 27 mr. Select all
situations that apply.
Plz help me
Step-by-step explanation:
54mn⁴ = 2 * 3³ * m * n⁴
27m³n² = 3³ * m³ * n²
Highest common power of 2 = null
Highest common power of 3 = 3³
Highest common power of m = m
Highest common power of n = m²
Hence GCF(54mn⁴,27m³n²)
= 3³ * m * n² = 27mn².
27, m, n² and 9 are factors of the GCF 27mn². Only 18 is not a factor.
Answer:
\(54m {n}^{4} = {3}^{3} \times 2 \times m \times {n}^{4} \\ 27 {m}^{3} {n}^{2} = {3}^{3} \times {m}^{3} \times {n}^{2}\\ \)
GCF of the two expression 27, m, n²,9.
Both of the expression can be divided by 27, m, n², 9 but 18 can't be divided by 27m³n².
Name the set or sets to which 14/15 belongs
Answer:
inegeters
Step-by-step explanation:
Which steps should be used to graph the equation below?
y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
a 1. Plot the point (2, 4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
b 1. Plot the point (2, 4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
c 1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
d 1. Plot the point (–2,4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
The steps to grapj the given equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2) is C.
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point.3. Draw a line through the two points.Calculations and ParametersGiven
y - 4 = (1/3) (x+ 2)
The steps should be used to graph the equation is given below:
y - 4 = (1/3) (x+ 2)
y - 4 = 0 => y = 4
x + 2 = 0 => x = -2
Plot point ( - 2 , 4)
count left 3 units and down 1 unit and plot a second point.
as for every 3 units change in x, there is one unit change in y
x going left & y going down is the same direction
Draw a line through the two points.
Therefore, the correct answer is option C.
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Help me solve this problem please num 23
Answer: I got no idea bro sorry
Step-by-step explanation:
Answer:
I worked it out, and the answer i got was 298
25. critical thinking look at the start up problem for this lesson. assume
that sarah feels that she must have a monthly gross pay of at least $3,750 to
meet her expenses. what advice would you give to sarah about the choices she
might need to make?
Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision.
Based on the startup problem, Sarah is considering two job offers. Job A offers a fixed monthly salary of $2,500, while Job B offers a base salary of $1,800 plus a 6% commission on her total sales. To meet her expenses, Sarah feels that she must have a monthly gross pay of at least $3,750.
Given this situation, here is some advice for Sarah:
1. Evaluate Expenses: Sarah should thoroughly evaluate her monthly expenses to understand where her money goes. It's essential to know her fixed expenses (rent, utilities, insurance) as well as variable expenses (groceries, entertainment) to have a clear picture of her financial needs.
2. Consider Job B with Commissions: If Sarah has a strong sales background or believes she can generate significant sales, she should consider Job B with the base salary of $1,800 and a commission of 6% on her total sales. If she can achieve high sales numbers, she might exceed the $3,750 monthly gross pay requirement.
3. Calculate Potential Earnings: Sarah should calculate her potential earnings for Job B based on her sales projections. By estimating the amount of sales she can generate and applying the 6% commission, she can see if she meets or exceeds the minimum gross pay of $3,750.
4. Job Security and Stability: Job A offers a fixed monthly salary of $2,500, which provides a sense of stability and predictability. If Sarah values job security and is uncertain about her sales performance, Job A might be a safer choice.
5. Negotiate: If Sarah is keen on Job B but feels the base salary is too low, she can try negotiating with the employer for a higher base salary or a better commission rate. Negotiation can help align the compensation with her financial needs.
6. Personal Goals: Besides financial considerations, Sarah should also think about her long-term career goals, job satisfaction, and work-life balance when making her decision. A job that aligns with her passion and career goals might be more fulfilling in the long run.
7. Emergency Savings: It's crucial for Sarah to have emergency savings to cover unexpected expenses. If possible, she should aim to dividing an emergency fund equivalent to several months' worth of expenses to provide a financial safety net.
In summary, Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision. It's essential to find a balance between financial stability and job satisfaction to ensure long-term success and well-being.
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-1/2c+26-22 help ASAP plz
Answer:
−1/2c+4
Step-by-step explanation:
Combine Like Terms:
−1/2c+26+−22=(−1/2c)+(26+−22)=
−1/2c+4
Hope this helped :)
Jesse is purchasing some new school supplies. He brought seven notebooks (1 for each class), a new backpack for $15, and a pack of pens for $3.50. He spent a total of $27.25 (before taxes). What is the cost of each notebook (in dollars and cents)?
Answer:
1.25
Step-by-step explanation:
I did the math
each notebook is 1.25
if u multiply by 7 it makes 8.75
Answer:
each note bok cost 1.25
Step-by-step explanation:
27.25-15=12.25
12.25-3.50=8.75
8.75/7=1.25
The ratio of a father’s age to his son’s age is 7:2. If the son’s age is 10 years. How old is the father?
Answer:
don't know
Step-by-step explanation:
not sure but I think u hv to divide 7 over 7+2x10,do d same thing for 2
Answer: The answer is 35
Step-by-step explanation:
7n= 70
7=70x2=10 OR 2x5=10
7x5=35
Solve for the variable
Round to 3 decimal places
12
70°
у
\(sin(70^o )=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{y}}\implies y=\cfrac{12}{\sin(70^o)}\implies y\approx 12.770\)
Make sure your calculator is in Degree mode.
The average of 3 different positive integers a, b and c is 50. If a < b < c and b=30, what is the least possible value of c?
Answer: 91
Solution:
From
\(\frac{a+b+c}{3} =50\)
Therefore, a+b+c = 150
Fromb=30 so, a+c = 120
Because a < b so, a < 30
Because b < c so, c > 30
We want the least possible value of c
so, a needs to be the greatest value possible
Therefore, a = 29
From a+c = 120
Therefore, c = 120-29=91
Kay has a monthly salary of $48000. She opens a bank account with 17% of her pay at the start of the year. At the end of each year she makes a deposit of 17% of her monthly income with an added annual interest rate of 1.45%. If she is saving for a new refrigerator costing $127000, how long would she need to save for before being able to afford the fridge?
Kay would need to save for about 17.3 years before being able to afford the refrigerator.
How to find the amount to be needed?Let's start by calculating the amount that Kay saves at the start of the year:
\($$\text{Amount saved at the start of the year} = 0.17 \times 48000 = 8160$$\)
After that, at the end of each year, Kay deposits 17% of her monthly income, which is $48000/12 = 4000, and the money accumulates interest at an annual rate of 1.45%. Let's use the formula for compound interest to calculate the amount of money that she will have at the end of n years:
\($\text{Amount at the end of }n\text{ years} = 8160\left(1+\frac{0.17\times 0.0145}{1}\right)^n + 4000\sum_{k=0}^{n-1}\left(1+\frac{0.17\times 0.0145}{12}\right)^k$$\)
Simplifying the expression, we get:
\($\text{Amount at the end of }n\text{ years} = 8160\times 1.0175^n + 4000\frac{\left(1+\frac{0.17\times 0.0145}{12}\right)^n-1}{\frac{0.17\times 0.0145}{12}}$$\)
We want to find the value of n for which the amount at the end of n years is equal to the cost of the refrigerator, which is $127000. Therefore, we can set up the following equation:
\($8160\times 1.0175^n + 4000\frac{\left(1+\frac{0.17\times 0.0145}{12}\right)^n-1}{\frac{0.17\times 0.0145}{12}} = 127000$$\)
Solving this equation for n gives:
\($n = \frac{\log\left(\frac{127000-4000\frac{\left(1+\frac{0.17\times 0.0145}{12}\right)^{-1}}{\frac{0.17\times 0.0145}{12}}}{8160}\right)}{\log(1.0175)} \approx 17.3$$\)
Therefore, Kay would need to save for about 17.3 years before being able to afford the refrigerator.
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answers to this question
8
2.5
12
3
Answer:
3 = ?
Step-by-step explanation:
The triangles are similar, so we can use ratios
15 12 -2
------ = --------------
15+? 12
15 10
------ = --------------
15+? 12
Using cross products
15 * 12 = 10 ( 15+?)
180 = 10 ( 15+?)
Divide each side by 10
18 = 15+?
Subtract 15 from each side
18-15 = 15+?-15
3 = ?
row equivalent matrix method
4x-3y=11
3x+7y=-1
The radius of a circle is 111 units.
Answer:
222 diameter or d=222
Step-by-step explanation:
d=2r=2·111=222
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Jeremy has volleyball practice every third day in soccer practice every 5th day today he had both practices and how many days will he have both practices on the same day again
Answer:
He will have it on the 15th day