Answer:
:$5.50
Step-by-step explanation:
You will give your co-worker $5.5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that you work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the table and prepare their food. The family gives you a $11 tip.
For evenly splitting the tip, you will give your co - worker :
{x} = 11/2 = 5.5
{x} = $5.5
Therefore, you will give your co-worker $5.5.
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What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers
Answer:
9/50
Step-by-step explanation:
There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:
Probability = number of favorable outcomes /total number of outcomes
Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50
What do you call a cow with no legs?
BRAINLIEST IF YOU CAN TELL ME WHO THE GOAT IN BASKETBALL IS
15 POINTS
Answer:
a burger
Step-by-step explanation:
because the cow is made into a burger lol
In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.
Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?
15°
29°
32°
45°
Answer:
b. 29°
Step-by-step explanation:
In the given diagram, the smallest angle in the diagram is ∠FLG = 29°.
What is an angle?When to lines are meeting at a point, then the geometrical figure is formed called an angle.
Given, four lines extend from point L.
They are lines LF, LG, LH, and LI.
∠FLI = 106°, ∠FLG = (2x - 1)°, ∠GLH = (x + 17)°, ∠HLI = (4x - 15)°
Here, ∠FLI = ∠FLG + ∠GLH + ∠HLI
106° = (2x - 1)° + (x + 17)° + (4x - 15)°
⇒ (2x - 1)° + (x + 17)° + (4x - 15)° = 106°
⇒ (7x + 1)° = 106°
⇒ 7x = 105
⇒ x = 15
Now, ∠FLG = (2x - 1)° = (2 × 15 - 1)° = 29°
GLH = (x + 17)° = (15 + 17)° = 32°
∠HLI = (4x - 15)° = (4 × 15 - 15)° = 45°
Therefore, the smallest angle in the diagram is ∠FLG = 29°.
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Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist
Answer:
Solved only ticked ones
4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356Answer:
use the formula:
[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]
1) 4a² + 49b²
= 2²a² + 7²b²
= (2a)² + (7b)²
based on the formula above, a = 2a and b = 7b
= ( 2a + 7b )² - 2(2a)(7b)
substitute 2a+7b = 11 into the equation
= 11² - 2( 14ab )
= 121 - 28ab
substitute ab = 2 into the equation
= 121 - 28(2)
= 121 - 56
= 65
2) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
based on the formula, a = 2x and b = 3y
= ( 2x + 3y )² - 2(2x)(3y)
substitute 2x+3y = 12 into the equation
= 12² - 2(2x)(3y)
= 144 -2(6xy)
= 144 - 12xy
substitute xy = 6 into the equation
= 144 - 12(6)
= 144 - 72
= 72
3) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
= (2x)² - (-3y)²
based on the formula, a=2x and b=-3y
= ( 2x-3y )²- 2(2x)(-3y)
substitute 2x-3y = 2 into the equation
= (2)² - 2(2x)(-3y)
= 4 - 2( -6xy )
= 4 + 12xy
substitute xy = 8 into the equation
= 4 + 12(8)
= 4 + 96
= 100
4) 16x² + 25y²
= 4²x² + 5²y²
= (4x)² + (5y)²
= (4x)² - (-5y)²
based on the formula, a = 4x and b = -5y
= (4x-5y)² - 2(4x)(-5y)
substitute 4x-5y = 6
= (6)² -2(4x)(-5y)
= 36 -2(-20xy)
= 36 + 40xy
substitute xy = 8 into the equation
= 36 + 40(8)
= 36 + 320
= 356
25 points! pls show work if can!!!!!!!!
Answer:
A.2.4 pounds
B.7 oranges
Step-by-step explanation:
Sarah and Henry share some sweets in the ratio 5:6 .
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2 .
How many sweets did Henry have?
What is the solution to the inequality?
1/4+x <5/6
A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12
Answer:
A x<7/12 hope this helps
A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t=k, the height of the dough is 13 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute.
(a) At time t=k, at what rate is the area of the circular surface of the dough increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure.
(b) At time t=k, at what rate is the height of the dough decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=πr2h.)
(c) Write an expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of height h and radius r.
Answer:
a) [tex]\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}[/tex]
b) [tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c) [tex]\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}[/tex]
Step-by-step explanation:
In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).
a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:
[tex]A=\pi r^{2}[/tex]
So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:
[tex]dA = \pi(2) r dr[/tex]
and divide both sides into dt so we get:
[tex]\frac{dA}{dr} = 2\pi r \frac{dr}{dt}[/tex]
and now we can substitute:
[tex]\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})[/tex]
[tex]\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}[/tex]
b) In order to solve part b, we can start with the formula for the volume:
[tex]V=\pi r^{2} h[/tex]
and solve the equation for h, so we get:
[tex]h=\frac{V}{\pi r^{2}}[/tex]
So now we can rewrite the equation so we get:
[tex]h=\frac{V}{\pi}r^{-2}[/tex]
and now we can take its derivative so we get:
[tex]dh=\frac{V}{\pi} (-2) r^{-3} dr[/tex]
we can rewrite the derivative so we get:
[tex]\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}[/tex]
we can take the original volume formula and substitute it into our current derivative, so we get:
[tex]\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}[/tex]
and simplify:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
so now we can go ahead and substitute the values provided by the problem:
[tex]\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})[/tex]
Which simplifies to:
[tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c)
Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
The rate of change of the height of the pizza with respect to (w.r.t.) time
can be found given that the volume of the pizza is constant.
(a) The rate of increase of the surface area with time is 4·π in.²/min(b) The rate at which the height of the dough is decreasing is [tex]\underline{4.\overline 3 \ in./min}[/tex](c) Rate of change the height of the dough with respect to the radius [tex]\dfrac{dh}{dr}[/tex], is [tex]\underline{-2 \cdot \dfrac{h}{r}}[/tex]Reasons:
The height of the dough when t = k is 13 inches
Radius of the dough = 12 inches
Rate at which the radius of the dough is increasing, [tex]\dfrac{dr}{dt}[/tex] = 2 in.²/min
(a) Required: The rate of increase of the surface area with time
Solution:
The circular surface area, A = π·r²
By chain rule of differentiation, we have;
[tex]\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi[/tex]
The rate of increase of the surface area with time, [tex]\mathbf{\dfrac{dA}{dt}}[/tex] = 4·π in.²/min.
(b) Required: The rate of decrease of the height with respect to time
The volume of the pizza is constant, given by; V = π·r² ·h
Therefore;
[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]
[tex]\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3[/tex]
The rate at which the height of the dough is decreasing, [tex]\mathbf{\dfrac{dh}{dt}}[/tex]= [tex]\underline{4.\overline 3 \ in./min}[/tex]
(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.
Solution:
[tex]\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}[/tex]
[tex]\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}[/tex]
The rate of change the height of the dough w.r.t. the radius is [tex]\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}[/tex]
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Can someone please explain to me how to do this
Step-by-step explanation:
u should:
7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8
and another one is:
2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»
» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15
What is the common factors of 9 and 67
Please don't google it
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
9 1, 3 9
67 1 and 67
so just enjoy ur day and have a great Christmas and new year
Does anyone know this? Please and ty! This is worth 15 points but please don’t take advantage :(
Answer:
A
Step-by-step explanation:
If you were to dilate a point by a scale factor of 2, then if you have the point (-4,0), both the x value and the y value would be multiplied by 2, giving a coordinate of (-8,0). If you do this to the other point, you get (0,4).
Now graph it out, and you get a parallel line that is not right on top, eliminating answer B. It's not C because it is parallel, not intersecting. And it's not D because they are related, they're parallel.
Hope this helps!
solve system of equations using the elimination method
Answer:
(x,y)=(-4/5,10/19)
Step-by-step explanation:
x+2y=3
x-8y=-16
x+2y=3
-x+8y=16 (multiply both sides by-1)
10y=16
y=16/10
x+2(16/10)=3
x=-4/5
Whats the answer to 4x-5=2-x asap
Answer:
x=1.4
Step-by-step explanation:
Helpppppp
Find the quotient: -45/5
A. -40
B. -9
C. 9
D. 40
Answer:
B - 9
Step-by-step explanation:
5 x 9 = 45 or 45 divided 5
A two-word phrase used to show division in a problem that starts with oc
Answer:
Out of
Step-by-step explanation:
A two-word phrase used to show division in a word problem.
Out of is a two-word phrase which is used to show division in a word problem.
Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.
Answer:
24 i can be rong
Step-by-step explanation:
Which of the following shapes are congruent?
Answer:
2nd option.............................................
Please help me solve this.
Answer:
9
Step-by-step explanation:
13*3=39
48-39=9
Answer:
48-39=9
^
(13 x 3=39)
Every day after dinner, a child is to put his plate in the sink. Which formula calculates percent of occurrences?
Answer:
Percent of occurrences= (Numbers of behavior/Numbers of opportunities)*100
Step-by-step explanation:
Based on the information given if a child is to put his/her plate in the sink everyday after having dinner the formula that will be use to calculates percent of occurrences is :
Percent of occurrences=( Numbers of behavior/Numbers of opportunities)*100
Where:
Numbers of behavior represent the Numbers of times the plate was put in the sink by child everday
Numbers of opportunities represent the Numbers of dinners the child had everyday
factor completely. 6x^3-6x^2+x-1
Answer:
(x−1)(6x2+1)
Step-by-step explanation:
x^3-6x^2+x-1
(x−1)(6x^2+1)
Answe: (
( − 1 ) ( 6 ^ 2 + 1 )
If x - 5 = 2, then find the
value of 6x - 20?
Answer:
22Step-by-step explanation:
[tex]x-5=2\qquad|\text{add 5 to both sides}\\\\x-5+5=2+5\\\\x=7\\\\\text{Substitute to}\ 6x-20:\\\\6\cdot7-20=42-20=22[/tex]
HELP PLEASE ITS SO HARD IM CRYING PLS HELP
Answer:
I think it might be d
Step-by-step explanation:
Im not completely sure, BUT YOU GOT THIS
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?
I need help
Write a linear inequality to represent the graph
Answer:
y < 1/2x -5
Step-by-step explanation:
1/2 is the slope
-5 is the y intercept
Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = {(x - 1).
The slope of the line is
A point on the line il
Answer:
A point on the line is m=1/2
A point on the line is (1,4)
Step-by-step explanation:
Yo can I get some help with this!
Answer:
b=56
Step-by-step explanation:
Try
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Answer:
you're question is complicated
Step-by-step explanation:
Answer:
u
Step-by-step explanation:
hb
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
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