The rental company to hat Oscar should use is the second company because it's cheaper.
How to illustrate the information?The total amount charged for the first boat will be:
= 100 + 35h
where h = number of hours
= 100 + 35(8)
= 100 + 260
= $360
The amount charged for the second company will be:
= 50 × 8
= 400
Therefore, the rental company to hat Oscar should use is the second company because it's cheaper.
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D Number of Sheets (x) Total Cost (y) 3 Cost of Stickers $10.25 $26.65 19
Answer: 5=10.25, 13=26.65, 19=38.95
If x2-x-2 > 0, which of the following is the solution set for x?
Ox>-1
Ox>2
O -1 < x < 2
Ox< -1 or x> 2
O No solutions are possible.
Solving the quadratic inequality, the solution set for x is given as follows:
x < -1 or x > 2.
When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.For this problem, the inequality is given by:
x² - x - 2 > 0.
To graph a quadratic inequality, first we have to find the roots of the quadratic function, hence:
x² - x - 2 = 0
(x - 2)(x + 1) = 0.
Hence the roots are:
x - 2 = 0 -> x = 2.x + 1 = 0 -> x = -1.As the graph given at the end of the answer shows, any concave up quadratic function is positive to the left and to the right of the roots, hence the solution set for the inequality is:
x < -1 or x > 2.
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2. Open Response The table shows the amount
spent on tomatoes at three different stands
at a farmer's market. Which stand sold their
tomatoes at the least expensive price per
pound, and what is that price? Round to the
nearest cent, if necessary. (Lesson 1)
Stand Weight (lb) Cost ($)
A
2.00
B
C
100
NATA/W
3.45
14.85
Stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have to determine the price of sold tomatoes at the least expensive price per pound.
The price of sold tomatoes at stand A:
⇒ 2/(3/4) = 2/0.75 = 2.67 per pound.
The price of sold tomatoes at stand B:
⇒ 3.45/(5/4) = 3.45/1.25 = 2.76 per pound.
The price of sold tomatoes at stand C:
⇒ 14.85/(11/2) = 14.85/5.5= 2.70 per pound.
Here is the least expensive price per pound at stand C.
Hence, the stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
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A year ago, a radio program was aired on r stations across the country. Today, the number of stations airing the radio program can be represented by the following expression: 0.82r Which set of statements is true?
A. The number of the stations airing the program increased by 18%. An equivalent expression that represents this situation is r+0.18r
B. The number of stations airing the program increased by 82%. An equivalent expression that represents this situation is r+0.82r
C. The number of stations airing the program decreased by 82%. An equivalent expression that represents this situation is r -0.82%
D. The number of stations airing the program decreased by 18%. An equivalent expression that represents this situation is r -0.18r.
The set of statements is true; B. The number of stations airing the program increased by 82%. the equivalent expression that represents this situation is r+0.82r.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
IT is given that year ago, a radio program was aired on r stations across the country.
Also Today, the number of stations airing the radio program can be represented by the following expression; 0.82r
Therefore, the equivalent expression that represents this situation is r+0.82r
Hence, The set of statements is true; B. The number of stations airing the program increased by 82%. the equivalent expression that represents this situation is r+0.82r.
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8.1 + u/7 = -3.1
Please help, Thanks!!
marking brainliest if a/2-3/2+22 what is A
The value of a cannot be determined because the expression is not an equation
How to determine the value of a?The expression is given as:
a/2 - 3/2 + 22
The above is an expression, and not an equation
For the value of the variable a to be solved, the expression must be an equation
Equations are mathematical expressions that are represented by the equal to or equality sign i.e =
Examples of equations are:
a + b = c
y = mx + c
Ax + By = C
y = ax^2 + bx + c
y = x
Hence, the value of a cannot be determined because the expression is not an equation
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Assume our initial amount is $1000, the rate is 5% and it will only compound once per year. Our equation would look something like this:
The amount of money available after x number of years is given by y = 1000(1.05)ˣ
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the amount of money after x years. Assume our initial amount is $1000, the rate is 5% (0.05) and it will only compound once per year. The equation is given by:
y = 1000(1 + 0.05)ˣ
y = 1000(1.05)ˣ
The amount of money available after x number of years is given by y = 1000(1.05)ˣ
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You can find the equation of a line through two points even if one point is not the y -intercept. Find the slope m of the line passing through the two points.Using either point, substitute for x, y , and m into y=m x+b . Solve for b and rewrite y=m x+b for the values of m and b . Write an equation in slope-intercept form for the line passing through each pair of points.
c. (-2,17) and (2,1)
1 = -4(2) + 9 is an equation in slope-intercept form for the line passing through points (-2,17) and (2,1)
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We have been asked to write an equation in slope-intercept form for the line passing through (-2,17) and (2,1)
First we will find the slope(m)
We know that slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For the pairs of points (-2,17) and (2,1)
⇒ m = [tex]\frac{1- 17}{2 - (-2)}[/tex]
⇒ m = [tex]\frac{-16}{4}[/tex]
⇒ m = -4
We know that the equation for slope(m) and y - intercept(b) of a line is given by :
y = mx + b
Here lets take equation 1 = -4(2) + b .Here x and y is substituted with the second two points.
⇒ 1 = -4(2) + b
⇒ 1 = -8 + b
⇒ b = 1 +8
⇒ b = 9
The equation in the slope intercept is as follows:-
1 = -4(2) + 9
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Peter and Patty are very competitive and they both are saving money in their piggy banks. Peter has $90 and
Patty has $120. Patty's mom gives her a bonus of 20% of what she already has and Patty adds it to her piggy
bank. Peter's dad tells him that he will give him a bonus so that Peter has the same total as Patty. What percent of
Peter's money must the bonus from his dad be?
Evaluate each finite series for the specified number of terms. 1+2+4+ . . . . ; n=5
Solving the question with the help of geometrical progression, we get that the value of this finite series is 31.
A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
As we know the formula for geometric progression is:
aₙ = a₁ r ⁿ⁻¹
Where , a₁ is the first term and r is the ratio , and n is the number of terms.
Here, the ratio is 4/2 = 2
Here, a₅ = 1 . 2⁵ ⁻ ¹ = 2⁴ = 16
a₄ = 1 . 2⁴ ⁻ ¹ = 2³ = 8
Now, We should calculate the value 1 + 2 + 4 + 8 + 16 = 31.
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Mark decided to make Christmas presents for his classmates. he bought 10lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 a pound.
Write a function f(x) that presents the total cost of the candy, where x is the weight of the less expensive candy.
Answer:
10 times 3.50 + 10x= f(x)
Step-by-step explanation:
35+28
f(x)= 63
The function f(x) that presents the total cost of the candy will be f(x) = 35 - 0.70x.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Mark decided to make Christmas presents for his classmates. he bought 10lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 a pound.
Let x be the number of pounds of caramel candies and (10 - x) be the number of pounds of chocolate candies. Then the equation is given as,
f(x) = 2.80x + 3.50(10 - x)
f(x) = 2.80x + 35 - 3.50x
f(x) = 35 - 0.70x
The function f(x) that presents the total cost of the candy will be f(x) = 35 - 0.70x.
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Find the magnitude and direction of vector. →JK : J(-6,-4) and K(-10,-4)
The magnitude of vector →JK is 4
And the direction of vector →JK is given by an angle 360°
For given question,
Let J(-6, -4) = (x1, y1) and
K(-10,-4) = (x2, y2)
By distance formula, the magnitude of vector is,
[tex]|\vec{JK}|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\|\vec{JK}|=\sqrt{(-10+6)^2+(-4+4)^2}\\\\ |\vec{JK}|=\sqrt{(-4)^2}\\\\ |\vec{JK}|=4[/tex]
To find the direction of the vector JK:
[tex]tan\theta=\frac{y_2-y_1}{x_2-x_1} \\\\tan\theta=\frac{-4+4}{-10+6}\\\\ tan\theta=0\\\\\theta=0^{\circ}[/tex]
However, the angle is in the fourth quadrant, so we add 360° to obtain a positive angle.
Thus, 0° + 360° = 360°
Therefore, the magnitude of vector →JK is 4
And the direction of vector →JK is given by an angle 360°
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A group of friends wants to go to the amusement park. They have $89.50 to spend on parking and admission. Parking is $7.75, and tickets cost $27.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
The number of people who can go to the amusement park is 3 people
EquationTotal amount with the group of friends = $89.50Cost of parking = $7.75Cost of tickets per person =$27.25Number of people who can go to the amusement park = p89.50 = 7.75 + 27.25p
subtract 7.75 from both sides89.50 - 7.75 = 27.25p
81.75 = 27.25p
divide both sides by 27.25p = 81.75 / 27.25
p = 3
Therefore, the number of people who can go to the amusement park is 3 people.
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Point B is the center of a circle, tangent to the y -axis, and the coordinates of Point B are (3,1) . What is the area of the circle?
A π units ² D 6 π units²
B 3 π units² E 9 π units²
C 4 π units ²
The area of the circle with center located at Point B (3, 1) and tangent to the y-axis is 9π units^2. The answer is E.
The area of a circle is the area enclosed by the circle. It is the product of the square of the radius and the constant π. The Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.
Area of circle = πr^2
To know the radius of a circle given its center and tangent line to it, find the distance between the the center and the point of tangency. As the radius is the distance from the center of the circle to any point in the circumference of the circle
If the circle is tangent to y-axis, then the radius is the absolute value of the x-coordinate.
r = 3 units
Using the formula for the area of a circle:
Area of circle = πr^2
Area of circle = π(3 units)^2
Area of circle = 9π units^2
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Simplify each complex fraction.
1/1+ x / y
The simplification form of the given complex fraction [tex]\frac{1}{1+\frac{x}{y} }[/tex] is equal to
(y)/ (y +x).
As given in the question,
Given complex fraction is equal to [tex]\frac{1}{1+\frac{x}{y} }[/tex]
Simplify the given complex fraction by taking the least common multiple of the denominator,
[tex]\frac{1}{1+\frac{x}{y} }\\\\\\= \frac{1}{\frac{y+x}{y} } \\\\\\=\frac{ (1)(y)}{y+ x} \\\\= \frac{y}{y+x}[/tex]
Therefore, the simplification form of the given complex fraction [tex]\frac{1}{1+\frac{x}{y} }[/tex] is equal to (y)/ (y +x).
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Round the decimal to the nearest whole number, 14.2.
Answer:14.
Step-by-step explanation:
14.2 is closer to 14 than 15
Answer:
14
Step-by-step explanation:
The nearest whole number in 14.2 is 4.
Since 2 is less than 5, the 4 stays the same.
We get left with 14.
The population of Smalltown was 3,187 in 2016. In 2017, 148 more people moved to Smalltown. In 2018, 219 more people moved to Smalltown. What was the population of Smalltown in 2018
The population of Smalltown in 2018, using the mathematical operation of addition, was 3,554.
What is an addition?An addition is one of the basic mathematical operations involving combining two or more numbers or values to form a single value.
Additions are used to find the sum or total of a group of numbers.
Data and Calculations:2016 population of Smalltown = 3,187
2017 addition to the population of Smalltown = 148
The total population of Smalltown in 2017 = 3,335 (3,187 + 148)
2018 addition to the population of Smalltown = 219
The total population of Smalltown in 2018 = 3,554 (3,335 + 219)
Thus, in 2018, the total population of Smalltown was 3,554, 219 more than the population in 2017.
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Find the value of y.
(14y-4)
(3x + 11)
(x+21)
The simplified value of y in the equation is x = 38 + -3.5y
Simplifying
[tex](14y + -4) + (3x + 11) + (x + 21) = 180[/tex]
Reorder the terms:
[tex](-4 + 14y) + (3x + 11) + (x + 21) = 180[/tex]
Remove parenthesis around (-4 + 14y)
[tex]-4 + 14y + (3x + 11) + (x + 21) = 180[/tex]
Reorder the terms:
[tex]-4 + 14y + (11 + 3x) + (x + 21) = 180[/tex]
Remove parenthesis around (11 + 3x)
[tex]-4 + 14y + 11 + 3x + (x + 21) = 180[/tex]
Reorder the terms:
[tex]-4 + 14y + 11 + 3x + (21 + x) = 180[/tex]
Remove parenthesis around (21 + x)
[tex]-4 + 14y + 11 + 3x + 21 + x = 180[/tex]
Reorder the terms:
[tex]-4 + 11 + 21 + 3x + x + 14y = 180[/tex]
Combine like terms: -4 + 11 = 7
[tex]7 + 21 + 3x + x + 14y = 180[/tex]
Combine like terms: 7 + 21 = 28
[tex]28 + 3x + x + 14y = 180[/tex]
Combine like terms: 3x + x = 4x
[tex]28 + 4x + 14y = 180[/tex]
Solving
[tex]28 + 4x + 14y = 180[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-28' to each side of the equation.
[tex]28 + 4x + -28 + 14y = 180 + -28[/tex]
Reorder the terms:
[tex]28 + -28 + 4x + 14y = 180 + -28[/tex]
Combine like terms: 28 + -28 = 0
[tex]0 + 4x + 14y = 180 + -28\\4x + 14y = 180 + -28[/tex]
Combine like terms: 180 + -28 = 152
[tex]4x + 14y = 152[/tex]
Add '-14y' to each side of the equation.
[tex]4x + 14y + -14y = 152 + -14y[/tex]
Combine like terms: 14y + -14y = 0
[tex]4x + 0 = 152 + -14y\\4x = 152 + -14y[/tex]
Divide each side by '4'.
[tex]x = 38 + -3.5y[/tex]
Simplifying
[tex]x = 38 + -3.5y[/tex]
Therefore, we can simplify that the value of y can be expressed as x = 38 + -3.5y
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What is the equation of the slant asymptote of the rational function?
f(x)=10x3−15x2+x−15x2−2
Responses
y=x−3
y equals x minus 3
y=2x−115
y equals 2 x minus fraction 11 over 5
y=2x−3
y equals 2 x minus 3
y=x−115
The equation of the slant asymptote of the rational function is; y = 2x - 3
What is the equation of the slant asymptote of the rational function?We want to find the equation of the slant asymptote of the rational function given as;
f(x) = (10x³ - 15x² + x - 1)/(5x² - 2)
To solve this question, we will divide the numerator by the denominator. The result (not including the remainder) will be the equation of the slant asymptote.
We can tell the first term of the quotient will be 2x since 10x³/5x² = 2x. Thus, the answer from the given options will be either 2x − 3 or 2x − 11/5.
The easiest method to apply here is to simply multiply these options by the denominator to get;
(5x² − 2) (2x − 3) = 10x³ − 15x² − 4x + 6
(5x² − 2) (2x − 11/5) = 10x³ − 11x² − 4x + 22/5
So the answer must be 2x − 3
Thus, the equation of the slant asymptote of the rational function is; y = 2x - 3
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ALGEBRA Which is a factor of x²+19 x-42 ?
F x+14
G x+2
H x-2
J x-14
The factors of x²+19x-42 are (H) (x-2).
What is factorization?Factorization is the process of reducing a quadratic equation's bracket rather than expanding the bracket and converting the equation to a product of factors that cannot be reduced further. Consider factoring (x2+5x+6) to (x+2) (x+3). In this case, (x+2) (x+3) is the factorization of a polynomial (x2+5x+6).To find the factors:
x²+19x-42x²+x(21 - 2)-42x² + 21x - 2x - 42x(x + 21) - 2(x + 21)Factors are: (x-2) and (x+21)
Therefore, factors of x²+19x-42 are (H) (x-2).
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Write 35 - 9 as the product of the GCF of 35 and 9 and another sum. Make sure you check your work.
Answer:
Step-by-step explanation:
if jimmy has 99 cups of cofe and drinks 50 how many does jimmy have
Answer:
jimmy
Step-by-step explanation:
John walks away from his house down a straight street. The graph shows John's distance from his house over time. Describe his trip. Find John's speed on each section of the walk.
(lol please help, I don't know how to format this-)
Based on the graph (see attachment), John's speed on each section of the walk are as follows:
At the first interval, John's speed is equal to 4 km/h.At the second interval, John's speed is equal to 0 km/h.At the third interval, John's speed is equal to 1.5 km/h.What is speed?Speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured as meter per seconds.
What is distance?Distance can be defined as the amount of ground covered (travelled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.
How to calculate the speed?Mathematically, speed can be calculated by using this formula;
Speed = distance/time
Based on the graph (see attachment), John's speed on each section of the walk can be calculated as follows.
For the first interval, we have:
Speed = 6/1.5
Speed = 4 km/h.
For the first interval, we have:
Speed = 6/1.5
Speed = 4 km/h.
For the second interval, we have:
Speed = 6/0
Speed = 0 km/h.
For the third interval, we have:
Speed = 6/4
Speed = 1.5 km/h.
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Felicia bought 4.5 bags of candy for her party baskets. Each bag has 146 pieces of candy. If she has 9 party baskets, how many pieces of candy will each party basket have?
Each party basket will have 73 pieces of candy
How to calculate the number of candies in each basket ?Felicia has 4.5 bags of candy for her party basket
Each bag has 146 pieces of candy
She has 9 party baskets, the number of candies in each party basket can be calculated by multiplying 4.5 by 146 and dividing the result by 9
4.5 × 146/9
= 657/9
= 73
Hence there are 73 pieces of candy in each basket
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Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Consider the procedure used below to solve the given equation.
Given: 4(2x +5)-(3x-4)=15
Step 1: 8x+5-3x+4=24
Step 2: 5x + 9 = 24
Step 3: 5x = 24-9
Step 4: -5x = 15
Step 5:53= 15
Step 6: x=-3
Which statement about the solution of the given equation is true?
O The first mistake was made in Step 1.
O The first mistake was made in Step 2.
O The first mistake was made in Step 3.
O The answer is correct. Can you please show me the work please?
Answer:
A. The first mistake was made is Step 1
Step-by-step explanation:
The first mistake was in Step 1. Take a look below to see how Step 1 should've been.
4(2x +5)-(3x-4)=15
Use distributive property.
4(2x +5)-(3x-4)=15
8x+20-3x+4=15
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Help please, I’m needing help with these questions
The equation of the line perpendicular to y = -²/₃x + 5 and passing through the point (6, -7) is; y = ³/₂x - 16
What is the equation of the line in slope intercept form?We want to find the equation of the line perpendicular to y = -²/₃x + 5 and passing through the point (6, -7).
Now, the slope that is perpendicular to that line is;
m = -1/(-²/₃) = 3/2
Thus;
Equation of the new line is;
y - (-7) = 3/2(x - 6)
y + 7 = 3x/2 - 9
y = ³/₂x - 16
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A cell phone tower covers a circular area with a radius of 15 miles.
(b) Will a person 11 miles west and 12 miles south of the tower have coverage? Explain.
A person 11 miles west and 12 miles south of the tower will not have coverage.
A circle is a closed curve that is drawn from a fixed point. This point is called the center. All points on the curve are equidistant from this center point.
The cell phone tower covers a circular area with radius 15 miles. This means that there will be coverage in all directions from center up to 15 miles.
The person is 11 miles west and 12 miles south of the tower.
Distance of person from center will be calculated using distance formula
[tex]d = \sqrt{(11^{2} + 12^{2} }[/tex]
∴ [tex]d = \sqrt{121 + 144}[/tex]
∴ [tex]d = 16.27[/tex] miles.
Since this distance is greater than the radius of circle (15 miles), the person will not have cell phone coverage.
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Find the coordinates of the centroid of the triangle with the given vertices. X(5,7), Y(9,-3), Z(13,2)
The coordinates of the centroid of the triangle with the given vertices X (5, 7), Y (9, -3), Z (13, 2) is (13 - 4,2) or (9, 2).
What is meant by the centroid of a triangle?The centroid is the object's center point. The centroid of a triangle is the point where the three medians of the triangle intersect. It is also defined as the point at which all three medians intersect. A median line connects the midpoint of a side and the opposite vertex of a triangle.
The midpoint D of XY is [tex]$\left(\frac{5+9}{2}, \frac{7-3}{2}\right)$[/tex] or (7, 2).
Note that DZ is a line that connects the vertex Z and D, the midpoint of XY. The distance from D(7, 2) to Z(13, 2) is 13 - 7 or 6 units.
If P is the centroid of the triangle XYZ, then [tex]$P Z=\frac{2}{3} D Z$[/tex].
So, the centroid is [tex]$\frac{2}{3}(6)$[/tex] or 4 units to the left of Z. The coordinates of the centroid (P) are (13 - 4, 2) or (9, 2).
To learn more about the centroid of a triangle refer to:
https://brainly.com/question/2263555
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the answer is negative 41
