The two situations can be represented as C(x) = 3x + 50 and C(x) = 10x.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Let the no. of gym visits be 'x' and the total cost be C(x).
Given, Plan one $50 for a monthly pass and a $3 fee for each gym visit.
∴ C(x) = 3x + 50.
Plan two $10 for each gym visit.
∴ C(x) = 10x.
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2x/3 + 1 = 3
Please work this problem out for me. Here are the possible answers:
x = 1
x = 2
x = 3
x = 6
What is 13x13??????????????
The product of 13×13 is 169 or it can also be written as 13².
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, A product two same numbers 13.
Now, 13×13 which equals 169.
Again 13×13 written in terms of exponents is,
= 13¹×13¹.
= 13².
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im trying to pass the hardest quiz in the world(will give brainliest) the first question is
you are the bus driver on your first stop 12 ppl get on on your second 8 get of 6 get on o the last stop 19 get off and you get off what are the bus drivers eyes
Answer: Whatever color yours are. You’re the bus driver
how to do s=3F-24 solve the formula fo f and plzz show how you got it
which expression is equivalent to -1.3 +(-4.9)+(-2.6)?
Aaaay the answer is -8.8
suppose nicole saves 2.50 every day how much money will she have in 4 weeks
Help please!
−3/4 + (1/10 ÷ 2/5)
What is the value of X in the Figure
The numbers in the figure are 104° and {3x-19|°
both angles are equal so you have
104 = 3x-19
add 19 to both sides
123 = 3x
divide both sides by 3
x = 123/3
x = 41
Definition of economic
How do you solve 1/2 / -2/5 + (-1/4)
What is 2m-13=-8m+27
The Earth is approximately 2 × 107 km from Venus at its closest approach. The Earth is also about 4 × 1013 km from Proxima Centauri, a star. Which of the following is true?
A.
The distance from Earth to Proxima Centauri is approximately two million times the distance from Earth to Venus.
B.
The distance from Earth to Proxima Centauri is approximately two trillion times the distance from Earth to Venus.
C.
The distance from Earth to Proxima Centauri is approximately two billion times the distance from Earth to Venus.
D.
The distance from Earth to Proxima Centauri is approximately two thousand times the distance from Earth to Venus.
Answer:
D. The distance from Earth to Proxima Centauri is approximately two million times the distance from Earth to Venus.
Step-by-step explanation:
8 gallons of batter are poured equally into 4 bowls. How many gallons of batter are in each bowl
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Use the Associative Property of Addition to find the total of 4, 12, and 18 in two different ways.
A. (4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34
B. (4 + 12) + 18 = 16 + 18 = 34; (12 + 4) + 18 = 16 + 18 = 34
C. 4 + 12 + 18 = 16 + 18 = 34; 12 + 18 + 4 = 30 + 4 = 34
D. 4 + 12 + 18 = 16 + 18 = 34; 18 + 12 + 4 = 30 + 4 = 34
Answer:
Step-by-step explanation:
A. (4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34
Acelynn borrows $1337 to buy a four wheeler. The interest rate is 4% for the 14 year loan.
Final answer:
Acelynn will pay back a total of $748.72 in interest over the 14 years of her loan for the four-wheeler. This was calculated using the simple interest formula.
Explanation:
To calculate how much interest Acelynn will pay back on the money borrowed for the four-wheeler, we use the simple interest formula: Interest (I) = Principal (P) × Rate (R) × Time (T).
Here, the principal P is $1337, the rate R is 4% (or 0.04 as a decimal), and the time T is 14 years.
Plugging these values into the formula, we get:
I = $1337 × 0.04 × 14
I = $53.48 × 14
I = $748.72
Therefore, as per the above explaination,Acelynn will pay back $748.72 in interest over the 14 years of the loan.
Add. Write the doubles fact you used to solve the problem.. 7+8=15 ??? __ __ __ __ __
How many 1" cubes will pack into a regular box with dimensions 8" by 6" by 6.5"?
Are these parallel,perpendicular, or neither. Y= -1/4x +10 and -2x+8y=6
A geologist had two rocks on a scale that weighed 3.3 kilograms together. Rock A was 0.1 of the total weight. How much did rock A weigh?
Answer:
Rock A had a weight of 0.33Kg
Step-by-step explanation:
Let X: the weight of rock A and Y: the weight of rock B. The information available suggests that:
X + Y = 3.3 [Eq. one]
X = 0.1 (X + Y) [Eq. two]
Considering equation 2, we have that X = 0.1X + 0.1Y, which produces:
0.9X = 0.1Y ------------> 9X = Y. Substituting this last result in equation 1, you have:
X + 9X = 3.3, that is,
10X = 3.3 --------> X = 3.3 / 10 = 0.33Kg. As Y = 9X, then, Y = 9 (0.33) = 2.97Kg
Which of the sums below can be expressed as 6(3 + 9)? (3 points) 18 + 54 18 + 9 9 + 15 6 + 54
6*3 = 18
6*9 = 54
so 18 +54 is the correct answer
1. Use the graph for Parts A–D.
A. Is the relation a function? Explain.
B. What is the domain of the relation?
C. What is the range of the relation?
D. What is the value of y when x = 2? Explain.
Alberts cabbage patch has 12 rows of cabbage. in each row, there are 15 heads of cabbage. how many cabbage does Albert have in all
the product of two consecutive pages is 182 find the page number
product is multiplication so find the square root of 182
sqrt(182) = 13.49
so use the whole number above and below that
13 * 14 = 182
the page numbers are 13 & 14
A grocer sells eggs only in boxes of 8. If he starts with 175 eggs and fills as many boxes as he can with eggs, how many eggs will he have left over?
After dividing the total number of eggs (175) by the number of eggs per box (8), the grocer will have 7 eggs left over once 21 boxes are filled.
Explanation:To solve how many eggs the grocer will have left over, we need to divide the total number of eggs (175) by the number of eggs in a box (8).
Divide 175 by 8 which equals 21 with a remainder of 7.Therefore, the grocer can fill 21 boxes with 8 eggs each.The grocer will have 7 eggs left over.This calculation involves basic division and understanding remainders, which are common math skills taught in middle school.
The grocer starts with 175 eggs and sells them in boxes of 8. To find the number of boxes he can fill, we divide the total number of eggs by the number of eggs per box: 175 / 8 = 21.875. Since the grocer can only sell whole boxes, he can fill 21 boxes. To find the number of eggs left over, we subtract the number of filled boxes from the total number of eggs: 175 - (21 * 8) = 175 - 168 = 7 eggs left over.
Mario walks 7 blocks east from his home and arrives at his favorite restaurant. When he arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Mario is from his home after finding his wallet is the sum 7 plus or(minus−5). How many blocks east is Mario from his home after finding his wallet?
The linear function in the graph shows the population of Greeville in the years since 2010.
The exponential function in the table represents the student population of the county that Greeville is in, in years since 2010.
Years since 2010 2 3 4 5
Population 2200 4400 8800 17,600
How does the y-intercept of the exponential function compare to the y-intercept of the linear function? Drag the correct answer to the box to complete the statement.
approximately 300 more than
approximately 300 less than
approximately 2000 more than
approximately 2000 less than
The y-intercept of the exponential function is _______ the y-intercept of the linear function.
Answer: The y-intercept of the exponential function is approximately 2000 less than the y-intercept of the linear function.
Step-by-step explanation:
Given: The exponential function in the table represents the student population of the county that Greenville is in, in years since 2010.
The standard exponential function is given by :-
[tex]y=Ab^x[/tex], where A is the initial population and x is the number of years.
From table , the multiplicative rate of change b=[tex]\frac{y_3}{y_2}=\frac{4400}{2200}=2[/tex]
Put x=2 and b=2 in the equation, we get
[tex]2200=A(2)^2\\\Rightarrow\ A=\frac{2200}{4}=1950[/tex]
We know that the value of y intercept occurs when x=0,
From the given table , the y intercept of exponential function (Initial population)= 550
The linear function in the graph shows the population of Greenville in the years since 2010.
From the given graph, the y intercept of linear function (x=0 for year 2010)= 2500
The difference in y intercepts = [tex]2500-550=1950\approx2000....\text{{Rounded nearest thousand}}[/tex]
Hence, The y-intercept of the exponential function is approximately 2000 less than the y-intercept of the linear function.
is the line through points p(-3,-2) and Q(2,3) perpendicular to the line through points R(10,-1) and S(15,-6)? explain.
The line through the points p(-3,-2) and Q(2,3) is perpendicular to the line through points R(10,-1) and S(15,-6) because the product of their slopes is -1
C: Yes, their slope have product -1
Two lines are perpendicular if the products of their slope equals -1
The slope(m) of a line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the line PQ:
P(-3, -2) and Q(2, 3)
[tex]m_1 = \frac{3-(-2)}{2-(-3)} \\\\m_1 = \frac{3+2}{2+3} \\\\m_1 = \frac{5}{5} \\\\m_1 = 1[/tex]
For the line RS:
R(10,-1) and S(15,-6)
[tex]m_2 = \frac{-6-(-1)}{15-10} \\\\m_2 = \frac{-6+1}{5} \\\\m_2 = \frac{-5}{5} \\\\m_2 = -1[/tex]
[tex]m_1m_2 = -1(1) \\\\m_1m_2 = -1[/tex]
Since the products of the slopes of line PQ and RS is -1, the line PQ is perpendicular to the line RS
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If the fraction 396\x-10 is equivalent to -22. find the value of x.
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Tara is looking for a job cutting hair. One option is self-employment at The Booneville Salon, where she would pay $767 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $13 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How much would Tara pay? How many haircuts would that be?
Tara would pay $ to either salon if she performed haircuts
A worker on the production line is paid a base salary of $190 per week plus $1.19 for each unit produced. Write an equation to represent his earnings of $444.66 for a week when he produced x units. How many units did he produce? Use pencil and paper. If the worker had produced twice that number of units, what would his earnings have been? Show your work.