The equations representing Dory's and Nemo's lunch orders are 3x + 3y = 11.25 and 4x + 2y = 10, respectively.
Let's define the variables first. Let x be the cost of one soft taco, and y be the cost of one double decker.
Dory orders three soft tacos and three double deckers for $11.25. This gives us the first equation:
3x + 3y = 11.25
Nemo orders four soft tacos and two double deckers for $10. This gives us the second equation:
4x + 2y = 10
We now have a system of equations that represents the lunch orders:
3x + 3y = 11.25
4x + 2y = 10
These equations can be solved simultaneously to find the individual costs of the soft tacos and double deckers.
1.
Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly. How much is deducted from each of her paychecks for life insurance? Use the table.
A. $4.81
B. $5.21
C. $6.25
D. $6.77
2.
Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.
A.$819.00
B.$1040.40
C.$1859.40
D.$2462.40
Answer:
The answer for number one is $5.21. NOT $6.25
Step-by-step explanation:
The amount deducted from the paychecks are: 6.25 dollars
The annual premium of Dawson is D.$2462.40
How to solve for the annual premiumTo get Karas annual premium
$1000 of coverage.
$50,000 at 2.50 dollars cost
since she is paid semi monthly
2.50 / 2 = 1.25
annual premium = 1.25 / 100 * 50
= 6.25 dollars
2. Under 20 year coverage for a 40 - 44 year old mail we have $13.68 as the amount
180000 / 1000
= 180
180 x 13.68
= D.$2462.40
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Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)
In which of the following cases would you most likely buy a point when closing on a home loan?
Final answer:
Buying a point during a home loan closing is most likely to make sense if interest rates have fallen, you plan to stay in the home long term, and you have ample cash for upfront costs, as this could result in significant savings over the life of the loan.
Explanation:
When considering the question of whether you would most likely buy a point when closing on a home loan, the main factors to consider are the interest rates and the duration for which you plan to hold the loan. Buying a point refers to paying an upfront fee to lower your mortgage interest rate, which is attractive if you plan to stay in the home for a long period, as the savings on interest payments could outweigh the initial cost. You would be more inclined to buy a point if:
Interest rates in the economy have fallen, and you want to lock in a lower rate for the duration of your loan.
The available cash for upfront costs is sufficient to cover the cost of buying points without detrimentally impacting other financial commitments.
The assessment is that staying in the property for a long duration will allow for greater cumulated savings due to the reduced interest payments over time.
These scenarios are more likely to justify the transaction costs of purchasing a home with an upfront payment to buy points, thus securing a lower interest rate for the mortgage.
the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Plz help I don't understand how to solve.
Answer:
Value of a is 2
Step-by-step explanation:
Given the equation of the quadratic function represented by the graph is [tex]y=a(x-3)^2-1[/tex]. we have to find the value of a.
As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.
∴ Point (2,1) satisfies the given equation.
Hence, we can find the value of a by putting the value of x and y, we get
[tex]1=a(2-3)^2-1[/tex]
⇒ [tex]2=a[/tex]
Hence, the value of a is 2
Answer:
2
Step-by-step explanation:
Have a good day :)
which best describes a number that cannot be irrational
Answer:
All numbers that can be made by dividing two integers cannot be irrational.Step-by-step explanation:
Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.
So, all numbers that can be made by dividing two integers cannot be irrational.
For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3 . If there were 2817 no votes, what was the total number of votes?
How many terms are in 8y+7z
Which ordered pair is the best estimate for the solution of the system of equations?
y=−12x+4
y=12x−3
(7.5, 0.5)
(7, 0.5)
(7, 1)
(7, 0)
Answer:
hope this helps :)
Subtract and polynomials (3x^2+5x+7)-(-4x^2+3x-6 please help ASAP
3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?
Answer:
1800 pictures could fit on the wall.
Step-by-step explanation:
If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]
Now we know area of wall is A and area of picture is A'.
Length and width of wall = 3.6×1.8 m
So area of the wall A = 3.6×1.8 = 6.48 m²
Dimensions of one picture = 6×6 cm Or 0.06×0.06 m
So are of one picture A' = 0.0036 m²
Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]
Number of pictures required to cover the wall = 1800
Help me please!!!!!!!!!!!!
The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?
Answer with explanation:
The graph of Original function is:
[tex]y=\sqrt{x}[/tex]
The function is translated by the rule (x+1, y-2).
After translation Point (a,b) is obtained.
a=x+1
,→x=a-1
b=y-2
→y=b+2
Substituting the value of x and y in the above function and obtaining the graph of the translated image
[tex]\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}[/tex]
Answer:
Graph B
Step-by-step explanation:
hope this helps!
(plz mark as brainliest if correct)
Graph image 1 for translation. one unit to the right
a/b ∙ b/2a
or a≠0, b≠0
So a/b is a fraction. Then multiply by b/2a.
The a's and the b's aren't equal to zero
Find the probability that the student is male or a nursing major.
The probability that a student is male or a nursing major is expressed by the formula P(M OR N) = P(M) + P(N) - P(M AND N), which requires actual data to calculate.
Explanation:To find the probability that a student is male or a nursing major, we can use the principle of addition in probabilities. Let's denote P(M) as the probability that a student is male, P(N) as the probability that a student is a nursing major, and P(M AND N) as the probability that a student is both male and a nursing major. The formula for the probability of either event occurring is given by P(M OR N) = P(M) + P(N) - P(M AND N). We need actual data to calculate these probabilities.
Since we don't have the actual probabilities, we can only provide the symbolic representation of the required probability as P(M OR N). However, if the events of being male and majoring in nursing are mutually exclusive (which in reality, they are not), the probability would simplify to just the sum of the two individual probabilities, P(M) + P(N).
You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?
The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.
What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?
an=4n−4
an=−4n−4
an=4n+4
an=−4n+4
Answer:
Answer:
an = 4n + 4
Step-by-step explanation:
Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival? 7c + 5g + 6 7c + 5g + 12 14c + 5g + 6 14c + 5g + 12
The correct answer is D. 14c + 5g + 12.
The entry fee is $6 each. 6 + 6 = 12
Each girl goes on 7 rides which cost c dollars. 7c + 7c = 14c
The number of games both girls play totals 5. And each game costs g dollars. 2g + 3g = 5g.
Add all the costs up and you get 14c + 5g + 12 as their total cost for going to a carnival.
A certain human red blood cell has a diameter of 0.000007 meters. Write an expression that represents this diameter, in meters in scientific notation.
Given is the diameter of a human red blood cell equal to 0.000007 meters. It says to convert and rewrite this measurement in meters in scientific notation.
A scientific notation is written as product of a significant number and exponent of 10's. To find significant number from given 0.000007, we must move decimal point in either right or left direction such that it becomes integral value and in addition we would multiply some exponent of 10's to make its value equivalent to given 0.000007 meters.
Re-writing in scientific notation :-
0.000007 meters
= [tex] \frac{7}{1000000} \;meters [/tex]
= [tex] \frac{7}{10^{6}} \;meters [/tex]
[tex] =7*10^{-6} \;meters [/tex]
So, final answer is 7 x 10⁻⁶ meters.
Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacation day? Remember to include units! (Example: 12 hours)
I need the answer to the blank questions
A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 294 square feet. Which equation could he use to find the dome's radius?
A. r2=294 square feet ÷ 4π
B. r2=294 square feet ÷ 2π
C. r2=294 square feet ÷ π
D.r2=588 square feet ÷ 4π
Answer:
A. r2 = 294 square feet ÷ 4π
Fractions must have a common denominator in order to subtract them. TrueFalse
Answer:
true
A numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
blake is signing a lease for a studio apartment that rents for $425/month. how much will blake pay to move in if he must pay the first and last months rent and a security deposit equal to 50% of his monthly rent?
Total amount he needs to pay is $1,062.5
Sum of money based problem:Given that;
Rent of apartment = $425 / month
Security deposit = 50% monthly rent
Find:
Total amount he needs to pay
Computation:
Total amount of rent he needs to pay = 425 + 425 + 50%[425]
Total amount he needs to pay = 425 + 425 + 212.5
Total amount he needs to pay = $1,062.5
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Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn's data.
Answer:
The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation:
Answer:
Sample response: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Or
The MAD measures the average distance between a data point and the mean. It measures variation. According to this information, Evelyn's scores varied a little more than Robin's.
Step-by-step explanation:
Took the test on edge! Hope this helps! have a great day!
Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used
Five times what number plus 10 equals 20?
A) -6
B) 2
C) 4
D) 6
Answer:
2
Step-by-step explanation:
Five times 2 plus 10 will be equal to 20. Hence, option B is correct.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data provided in the question,
The equation according to the statement will be,
Let the number be x.
5x + 10 = 20
5x = 20 - 10
x = 10/5
x = 2
Therefore, the number is 2.
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Vicente wants to plant 3 different types of onions in 1/4 of his garden. He will use an equal amount of space to pkant each ytpe of onion. what fraction of the total garden space will contain each type of onion
What is the sum of the series?
2+4+8+16+...+512
542
766
1022
1084
Answer:
The correct answer is 1,022. Hope this helps.
Source: Just took quiz and got 100%
Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.