Final answer:
The correct expression to calculate the remaining budget for food after spending on groceries and meals out is 550 - (67.19 + 55x), which is option A.
Explanation:
The question asks us to determine which expression correctly represents the amount of money left in the budget for food after the family has spent money on groceries and consumed their meals. The original budget for food is $550, and the family spent $67.19 on drinks and snacks. Each meal they plan to eat out is budgeted at $55. Let's denote the number of meals the family will eat out as 'x'.
To calculate the remaining budget after these expenses, we subtract the cost of groceries and the total cost of eating out (which is $55 times the number of meals 'x'), from the original budget for food. The correct mathematical expression for the remaining budget is:
550 - (67.19 + 55x)
This expression is represented by option A. This correctly factors in the initial expenditure on groceries of $67.19 and then subtracts $55 for each meal 'x' from the remaining budget.
Please answer all 3 questions thank you.
Solve the system of equations. y =9x y =2x + 63
The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?
solve for y, 3xy+x=9 Then find f(x) when x=2
When 75% of a number is added to 6, the result is 3 more than the number. find the number?
To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.
The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12
This year your brother jack will be 2 years from being twice as old as your sister jen. the sum of jack’s age and three times jen’s age is 66. how old is jen?
Evaluate [(21 + 6) − 3squared] ÷ 9 ⋅ 2.
choices are
4
4.6
1
52
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.
Explanation:To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:
First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.Therefore, Daniel will pay $4,800 in taxes for the year.
Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]
What is the fraction 3/2 squared in fraction form?
Please help
Fraction 3/2 squared in fraction form is 9/4.
What is Fraction?A fraction represents a part of a whole.
Given,
The fraction is 3/2
In the given fraction the numerator is three and denominator is 2
Three by two which is a improper fraction
We have to square 3/2
Three by Two whole square
(3/2)²
Three square by two square
3²/2²
Nine by four
9/4
Hence fraction 3/2 squared in fraction form is 9/4.
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put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301
Answer:
6.8,6.827,6.86,6.9
Step-by-step explanation:I hope it helps
Rita bought a table on sale for $278.80 . this price was 66% less than the original price. what was the original price?
Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable
N the metric system, how many microseconds are needed to make one second?
After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
The left bottom sector will be the next shape that is going to be shaded.
Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Let assign a number of shading to the various sector of the circle,
1 = the top left sector
2 = the bottom left sector
3 = the bottom right sector
4 = the bottom right sector
Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 = the bottom left sector
Thus, the left bottom sector will be the next shape that is going to be shaded.
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What times what equals 75
The area of a square living room is 256 ft2. Which is the length of the room?
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
Find the root that is a real number. rootindex 4 startroot 4096 endroot
Answer: 8
Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]
We need to factor this, so
[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]
[tex]4096 = 2^{12}[/tex]
We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]
This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}} = 2.2.2=8[/tex]
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.
HELP ME PLEASE NEED ANSWER NOWWWWWWWWWW solve the following system of equation. Round your answer to the nearest tenth. Your answer will be in the form (M,N). Find M+N, rounded to the nearest tenth.
5x+2y=21
-2x+6y=-34
2^x=3^x+1 what are the exact approximate solutions
Answer:
The exact approximate solution is x=-3.
Step-by-step explanation:
Given : Expression [tex]2^x=3^{x+1}[/tex]
To find : What are the exact approximate solutions?
Solution :
Step 1 - Write the expression
[tex]2^x=3^{x+1}[/tex]
Step 2 - Taking log both side,
[tex]\log(2^x)=\log(3^{x+1})[/tex]
Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]
[tex]x\log(2)=(x+1)\log(3)[/tex]
Step 4 - Solve
[tex]x(\log(2)-\log(3))=\log(3)[/tex]
[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]
[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]
[tex]x=\frac{0.477}{-0.176}[/tex]
[tex]x=-2.710\approx -3[/tex]
Therefore, The exact approximate solution is x=-3.
Answer:
D edge
Step-by-step explanation:
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths
If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
45 decrease by twice a number
is 5.75 greater than 5 8/12
Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given two numbers as
5.75 and 5 8/12
To determine the value 5.75 is greater than or less than 5 8/12
We have to convert the fraction 5 8/12 into the decimal,
⇒ 5 8/12
⇒ (60 + 8)/12
⇒ (68)/12
Apply the division operation,
⇒ 5.67
Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
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Given that (-4,5) is on the graph of f(x), find the corresponding point for the function f(2x)
Answer:
the correct answer is (-2,5)
Step-by-step explanation:
you multiply 1/2 by -4 to get the x value
To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).
Given: Point (-4,5) is on the graph of f(x).
To find: Corresponding point for the function f(2x).
Solution:
When x = -4, 2x = 2*(-4) = -8.So, the corresponding point for f(2x) would be (-8,5).Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth