Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.
if y = 2x + 7 were changed to y = 1/2 x + 7 , how would the graph of the new function compare with the original ?
The change from y = 2x + 7 to y = 1/2 x + 7 alters the slope, making the new function's graph less steep. The y-intercept remains at y = 7, ensuring the graphs coincide at this point.
Explanation:The question asks how the graph of the function y = 1/2 x + 7 would compare to the graph of the original function y = 2x + 7. The key difference between these two functions is the slope part, which is the coefficient of x. In the original function, the slope is 2 indicating a rise of 2 on the vertical (y) axis for every increase of 1 on the horizontal (x) axis. But in the new function, the slope is 1/2, indicating a rise of only 1/2 on the y-axis for each increase of 1 on the x-axis. So, the new function's graph would be less steep than the original's. The y-intercept for both functions remains the same, at y = 7. These changes illustrate how the slope and y-intercept of the line equation (y = mx + b) determine the shape and position of the line on the graph.
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A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)
WILL MARK THE BRAINLIEST
Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error.
Answer:
11.4 there now mark that person brainliest
Step-by-step explanation:
If y = 5/17 when x = 10, find y when x=5
To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.
Explanation:To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):
y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15
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What is the component form of the vector?
The component form of a vector represents it as the sum of its scalar components along the coordinate axes. It is used to describe a vector's individual directional effects in a Cartesian coordinate system, often denoted by Axi + Ayj for 2D vectors, and an additional Azk for 3D vectors.
Explanation:The component form of a vector refers to its representation as the sum of its separate parts along the coordinate axes. In a two-dimensional system, a vector can be broken down into the x and y components. Each component is essentially the projection of the vector along one of the coordinate axes. For example, in a rectangular (Cartesian) coordinate system, a two-dimensional vector A with an initial point and a terminal point can be represented by the difference in the x-coordinates (horizontal component) and the difference in the y-coordinates (vertical component).
The formula to represent a two-dimensional vector in component form is A = Axi + Ayj, where Ax and Ay are the scalar components of the vector along the x-axis and y-axis, respectively, and i and j are the unit vectors in the direction of the x-axis and y-axis. In three-dimensional space, an additional z-component is included, resulting in the component form A = Axi + Ayj + Azk, with k being the unit vector along the z-axis.
If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15
The direction of fastest increase is along the line \(y = x + 1\).
Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:
[tex]\[ y = k \sqrt{x} \][/tex]
where [tex]\(k\)[/tex] is the constant of variation.
We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:
[tex]\[ 12 = k \sqrt{16} \][/tex]
[tex]\[ 12 = 4k \][/tex]
[tex]\[ k = 3 \][/tex]
Now we can write the equation of variation:
[tex]\[ y = 3 \sqrt{x} \][/tex]
To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]
[tex]\[ 15 = 3 \sqrt{x} \][/tex]
[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]
[tex]\[ \sqrt{x} = 5 \][/tex]
[tex]\[ x = 5^2 \][/tex]
[tex]\[ x = 25 \][/tex]
Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.
Which of the following is the solution to 3/5 = 20/(x+3)?
3/91
-91/3
-3/91
91/3
Answer:
91/3
Step-by-step explanation:
Multiply by 5(x+3) and you get ...
3(x +3) = 100
x +3 = 100/3 . . . . . . . . . . divide by 3
x = 100/3 -3 = 91/3 . . . . subtract 3
Jessica rented 1 movie game and 3 Movies for $11.50 the cost of the video game is $4.75 to rent also the movie
PLZ HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!! 15 PTS!!!!!!
What is the value of x?
angle PIR
angle SIM
Choose the correct pair !!
Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.
Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?
A. x=-2
B. x=-1
C. x=1
D. x=5
Those are the choices
Answer:
Option A is correct
x= -2 is an approximate solution of [tex]2x^2-2 = -0.5x+4[/tex]
Step-by-step explanation:
As per the statement:
Fran graphs the equations
[tex]y=2x^2-2[/tex] and
[tex]y = -0.5x + 4[/tex]
Equate these two equations:
[tex]2x^2-2 = -0.5x+4[/tex]
You can see the graph for these equations as shown.
Since, the line and the parabola intersects at x = -2 and x = 1.5.
From the given options:
x = -2 is the solution for these equations.
Therefore, the value is an approximate solution of [tex]2x^2-2 = -0.5x+4[/tex] is, x = -2
y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?
What is the length of AC
Answer:
126
Step-by-step explanation:
Answer:
The correct answer is D. 126
Step-by-step explanation:
In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.
The relationship that we can write is between the length of its sides.
The relationship is a division between the length of the sides :
[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒
[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]
Solving the equation
[tex]x=\frac{(140-x)}{81}.(9)[/tex]
[tex]x=\frac{(140-x)}{9}[/tex]
[tex]9x=140-x[/tex]
[tex]10x=140[/tex]
[tex]x=14[/tex] ⇒
If the side AC is [tex]140-x[/tex] the length is
[tex]140-14=126[/tex]
The correct option is D. 126
It is 4 kilometers from chris's house to the nearest mailbox. how far is it in meters?
What is the height of the wall that is 30 feet long and that required 2310 bricks to build
Answer:
11=h
Step-by-step explanation:
I need help with 1-3 I just don’t understand how to do it at all please help
Express in exponential form.
Log2(x)=3
Answer:
[tex]2^{3}=x[/tex]
Step-by-step explanation:
We have to express the log in exponential form
The given expression is [tex]log_{2}(x)=3[/tex]
As we know, if [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]
So [tex]2^{3}=x[/tex] will be the esponential form of [tex]log_{2}(x)=3[/tex]
find the x-intercept and the y-intercept of the graph of the equation 5x - y =35
A set of equations is given below:
Equation R: y = 5x + 10
Equation S: y = 5x + 5
Which of the following options is true about the solution to the given set of equations?
A: One solution
B: Two solutions
C: Infinite solutions
D: No solution
Answer:
There is no solution.
Step-by-step explanation:
A leaf hanging motinles on a tree has what kimd of energy
Which plane figure generates a cylinder when it rotates about the dashed line?
Thank you :)
Answer:
3rd one
Step-by-step explanation:
If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?
Experts/ace plz helppp
table A from 2-3 minutes it rose 64.9-61.3 = 3.6
from 3-7 it rose 79.3 -64.9 = 14.4 = 3.6 degrees per minute
Table B needs to raise faster than 3.6 per minute
64.4 -61 = 3.4
64.6 - 61 = 3.6
64.3 -60.6 = 3.7
so the 3rd table is correct
The table below lists the number of floors in the 10 tallest buildings in the world. Note: The buildings are organized by height, not by the number of floors. Skyscraper Number of Floors Taipei 101 Shanghai World Financial Center 101 Petronas Tower 1 88 Petronas Tower 2 88 Greenland Square Zifeng Tower 69 Sears Tower 108 Jin Mao Tower 88 Two International Financial Centre 88 Citic Plaza 80 Shun Hing Square 69 What is the difference between the median and the mode for the number of floors?
Graph the function shown in the picture. I need this submitted quick and I’m so confused. Please help!
Find the quotient.
(6x 2 + 23x + 20) ÷ (5 + 2x)
3x - 4
3x + 4
3x +19
7x to the second power - x=6 find the solution set
If all four sides of a quadrilateral measure the same length, and one corner angle measures 90 degrees, Circle that shape the quadrilateral can be classified as.
A. Rhombus
B. Rectangle
C. Square
D. Parallelogram
E. All of these
expand (2x + 3)^5 can you please show your work because i am still very confused on how to do this.