Answer:
Equations:
[tex]y = 14 + 9 x[/tex] --- Cindy
[tex]y = 10 x[/tex] --- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
[tex]Existing\ Flashcards = 14[/tex]
[tex]Additional = 9[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Existing\ Flashcards + Additional * x[/tex]
[tex]y = 14 + 9 * x[/tex]
[tex]y = 14 + 9 x[/tex]
Ruben:
[tex]Rate = 10[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Rate * x[/tex]
[tex]y = 10 * x[/tex]
[tex]y = 10 x[/tex]
Solution to Equations:
Time they have the same amount.
To do this, we [tex]equate[/tex] [tex]both[/tex] expressions
i.e.
[tex]10x = 14 + 9x[/tex]
Collect Like Terms
[tex]10x - 9x = 14[/tex]
[tex]x = 14[/tex]
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
[tex]y = 10 x[/tex]
[tex]y = 10 * 14[/tex]
[tex]y = 140[/tex]
or
[tex]y = 14 + 9 x[/tex]
[tex]y = 14 + 9 * 14[/tex]
[tex]y = 14 + 126[/tex]
[tex]y = 140[/tex]
y + 2 = -3(x - 4). What is the slope?
Answer:
m=-3
Step-by-step explanation:
simplify the fraction 2/6
2/6
Reducing is another word simplify
Divide by 2 for the numerator and denominator
2/2= 1
2/6= 3
Answer : 1/3
A sports equipment store rents road bikes for $23 an hour.
Over the summer, these bikes were rented for a total of
1,080 hours. How much money did the store make renting bikes?
Answer:
$24,840
Step-by-step explanation:
Please mark brainliest.
6/5 s = −2
solve for (s)
A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.
a.) Compute the volume of milkshake that it contains
b.) Compute the surface area of the container
Answer:
Below in bold.
Step-by-step explanation:
(a) Volume = volume of the cylinder + volume of hemisphere
= pi r^2 h + 1/2 * 4/3 pi r^3
= pi 2^2 3 + 2/3 pi 2^3
= 12pi + 16pi/3
= 52pi/3
= 52pi/3 in^3
= 54.45 in^3 to nearest hundredth.
(b) Surface area = area of base + area of curved part + area of the hemisphere
= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2
= 4pi + 8 pi + 12pi
= 24pi in^2
= 75.40 to nearest hundredth.
50 points.........
A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t
Answer:
B
Step-by-step explanation:
For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
After doing the math in my notebook, I got the answer D.
Please let me know if you have any other questions down below.
can you Evaluate 2. pls anyone
Answer:
no
Step-by-step explanation:
2 is just 2
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
How do you Estimate the Product of Decimals and Whole
Numbers
Estimate each product. You can round to the greatest position or
use compatible numbers. Show how you estimated.
Answer:
1) 8.5
2) 60
3) 69.3
4) 6.8
5) 3.6
6) 10.5
Step-by-step explanation:
Take out the decimal of the estimated factors and multiply. Count how far to left the decimal is in the factors. In the product, put the decimal as many to the left as it was in the factors. (ex. 6.93 x 42, 6.93 rounds to 6.9, 42 rounds to 40, 69 x 40 = 2,760, move the decimal over one for correct place value, 6.9 x 40 = 276.0 or 276)
nature of roots of 4x²-4x-19=0
Answer:
The roots are real.
Step-by-step explanation:
Given quadratic equation to us is 4x² -4x -19 = 0.
With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .
[tex]\boxed{\begin{array}{|r|r|r|} \underline{\red{\bf S.no.}} & \underline{\red{\bf Condition }} & \underline{\red{\bf Nature \ of \ Roots }} \\\\ \sf 1 & \sf Discriminant > 0 & \sf Real \:Roots \\\\ \sf 2 &\sf Discriminant = 0 &\sf Equal \:Roots \\\\ \sf 3 & \sf Discriminant < 0 &\sf Complex \: Roots \end{array} }[/tex]
Hence here , wrt Standard form ,
• a = 4 , • b = -4 & •c = -19 .
[tex]\implies Discriminant = b^2-4ac \\\\\implies Discriminant = (-4)^2-4(4)(-19) \\\\\implies Discriminant = 16+304 \\\\\boxed{\red{\bf \implies Discriminant = 320 }}[/tex]
Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.
Find the area. Round to the nearest hundredth if necessary
kill meStep-by-step explanation:
Answer:
8,667.14
Step-by-step explanation:
1. Multiply 29.1 by 20.4 = 593.64
2. Multiply 593.64 by 14.6 = 8,667.14
For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?
Answer:
After solve the equations we get value of k=3
Step-by-step explanation:
We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.
If the lines are concurrent, they pass through same point.
Let:
[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]
First solving equation 1 and 2 to find values of x and y
From eq(1) we find value of x and put it in eq(2)
[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]
After solving we get value of y=-1
Now putting in eq(1) to get value of x
[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]
So, Value of x= 2
Now put value of x=2 and y=-1 into eq(3) to find value of k
[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]
So, After solve the equations we get value of k=3
the picture is below
Answer:
b, c, e
Step-by-step explanation:
8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X t
Answer:
2400kJ
Step-by-step explanation:
Step one:
given data
power P= 400W
time = 10minutes
to seconds= 60*10 = 600 seconds
Required
the energy
Step two:
we know that Energy= power * time
E=P*t
E=400*600
E=240000
E=2400kJ
She converts 2400kJ into other forms
Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]
To find:
Expression =?
Solution:
[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]
Therefore, the answer is "last choice".
Learn more:
brainly.com/question/17079155
3 6/12 +4 1/2 tell me what it is
Answer:
8
Step-by-step explanation:
3 + 4 = 7
6/12 + 1/2 = 1
7+1 = 8
evaluate the following given f(x)=3x-7 find x when f(x)=17
Answer:
When f(x) equals 17, x is equal to 8.
Step-by-step explanation:
[tex]f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8[/tex]
Could I get some help it’s important
Answer: yo plug it into desmos its ez
Step-by-step explanation:
Answer:
plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.
Step-by-step explanation:
The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)
100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.
Answer:
Open points on 1 and 3 with ray connecting.
Step-by-step explanation:
Because it's right.
From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.
What is a quadratic function?A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.
Read more on functions here: https://brainly.com/question/4246058
#SPJ2
Monica has a rectangular piece of fabric with an area of 3/4 square yard and a length of L yards. Write an algebraic expression to help find the width?
Anwer
W=3/4L
Step by step explanation:
Monica has a rectangular piece of fabric with an area of 3/4 square yard
the length is L yards
Required
The expression for the Width of the Fabric
Step two:
we know that the Area is expressed as
Area= L*W
3/4= L*W
cross multiply we have
3=4LW
divide both sides by 4L
W= 3/4L
The sum of two numbers is 22 their difference is 4
Answer:
x=13
Step-by-step explanation:
ok so let x+y=22
--------------------------------------------------------
x and y are the 2 unkown Number
-------------------------------------------
x-y=4
their difference is 4
----------------------------------
add both equations
(x+y=22)
+(x-y=4)
------------------------------
y's cancel out
-----------------------
2x=26
-----------------
x=13
what is an integer to describe 25 degrees fahrenheit below zero brainly
Answer:
-25
Step-by-step explanation:
25 degrees below zero indicates that we are working with a negative number, so it's -25
~theLocoCoco
Answer:
The answer is -25 for sure
Step-by-step explanation:
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
PLEASE HELP FAST Two identical buildings are 38.7 m apart. From her balcony, Kudo notices that the angle of the elevation to the top of the adjacent is 52 The angle of the depression to the base of the building is 21 find the height of the building to the nearest hundredth of a metre check the picture
Answer: 41.3m
Step-by-step explanation: Hope this helps
Can someone answer this and tell me how to find it?[tex]x^{2} -x+6/x-3[/tex]
Answer:
go to symbolab
it gives steps and answers. Its also free
Step-by-step explanation:
Solve the following to find the quotient, 6.42 ÷ 3 =
Answer:
2.14
Step-by-step explanation:
Answer:
2.14
Step-by-step explanation:
hope this helps
Plz mark brainliest :)
Help mehhhhhh please!!!!!!!!!!!!
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?
Answer:
$51.75
Step-by-step explanation:
The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.
15% + 100% = 115%
She will pay 115% of $45.
115% of $45 = 1.15 * $45 = $51.75
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. What is it’s area in square feet
Answer: 252 square feet
Step-by-step explanation:
lets remember that 1 yard= 3 feet
7 yards= 7*3=21 feet
4 yards= 4*3=12 feet
we know that area of a rectangle= LxW
21 x 12= 252 square feet
if two points are in a plane, then the line that contains them is
Answer:
...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
Step-by-step explanation: