Answers
Step-by-step explanation:
inequalities follow basically the same rules as equalities (ahem, equations). for creation and calculation.
you just indicate whole areas above or below given lines.
behind every inequality is a "normal" equation that defines the delimiter.
the question already tells us which variables to use.
x = number of hot dogs
y = number of peanuts (I guess, bags of peanuts)
he wants to buy at least 4 snacks.
hmmm.
what would you do, if the question asked us :
he wants to buy 4 snacks.
what did you learn from the previous questions ?
the equation would be
x + y = 4.
but now it asks us about "at least" 4 snacks. so every solution, 4 or more, is valid. not only 4.
so, the inequality is
x + y >= 4
and he has $20 to buy these snacks.
again, with equations we would have said
3x + 2y = 20
remember, a hot dog costs $3, a bag of peanuts costs $2. so, every single hot dog and every single bag of peanuts brings itself into the cost calculation with that amount.
x hot dogs cost $3x. y bags of peanuts cost $2y.
but here, we are now flexible. he can spend $20, but he does not have to fully exceed his budget. he can also spend less.
so, the inequality is
3x + 2y <= 20
together these inequalities now describe the situation that he cannot spend more than $20, but he can spend as little as he wants, as long as he gets at least 4 snacks.
all combinations of x and y values that satisfy these conditions are valid solutions.
the actual solution would be then more complex, as the real life scenario gives us more constraints :
0 <= x <= 6 (because with more than 6 hot dogs alone he would already bust his budget).
0 <= y <= 10 (after buying 10 bags of peanuts the $20 are gone).
that eliminates the negative value solutions that the basic 2 equations would allow.
Related Questions
A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilopascals. What will it be in 4 minutes?
If necessary, round your answer to the nearest tenth.
Answers
Answer:
4x10=40
It will lose 40% pressure after four minutes
It will lose 40% pressure after four minutes
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
We have been given that a bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilo-pascals. We are asked to find the tire pressure in 4 minutes.
We will use exponential decay formula to solve our given problem.
[tex]y = a(1\pm r)^m[/tex]
Let us convert 10% into decimal.
0.01
Initial value is 1,060 . Upon substituting our given values in above formula, we will get:
y = 1,060 (1 - 0.01)^4
Therefore, the tire pressure will be approximately 40% kilo-pascals in 4 minutes.
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Cleo bought a computer for $1,495. What will it be worth after depreciating for 3 years at
a rate of 16% per year?
Answers
After 3 years of depreciation at a rate of 16% per year, the computer will be worth $886.93.
To determine the value of Cleo's computer after depreciating for 3 years at a rate of 16% per year, we need to calculate the depreciation amount for each year and subtract it from the original value.
First, let's calculate the depreciation for one year. The depreciation amount is obtained by multiplying the original value by the depreciation rate: $1,495 * 0.16 = $239.20.
After the first year, the value of the computer would be $1,495 - $239.20 = $1,255.80.
Now, we need to repeat this process for the next two years. For the second year, the depreciation amount would be $1,255.80 * 0.16 = $200.93. Subtracting this from the value after the first year gives us $1,055.87.
For the third year, the depreciation amount would be $1,055.87 * 0.16 = $168.94. Subtracting this from the value after the second year gives us $886.93.
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Calculate the circumference and area of this circle.
Answers
Answer:
circumference 69.08 area 379.94
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference ratio in simplest form. 11,7,3
Answers
d = -4
Please help me with this question
Answers
Answer:
y = -6x + 4
Step-by-step explanation:
=> y = -6x + 4
according to the image drawn the line appears to have landed on the y-axis on the number four and the x-axis on the number -6 so we have to make y the subject of formula
=. y = -6x + 4
Find the distance between the points (-1,12) (-1, -3)
Answers
Answer:
The distance between -1,12 and -1,-3 is 15
Step-by-step explanation:
Simplify-
Multiply −1 by −1.
√(−1+1)^2 + ((−3) −12)^2
Add −1 and 1.
√0^2 + ((−3) −12)^2
Raising 0 to any positive power yields 0.
√0 + ((−3) −12)^2
Subtract 12 from −3.
√0 + (−15)^2
Raise −15 to the power of 2.
√0 + 225
Add 0 and 225.
√225
Rewrite 225 as 15^2.
√15^2
Pull terms out from under the radical, assuming positive real numbers.
=15
PLEASE HELP WHOEVER HELPS WILL GET A COOKIE
Answers
A: The plane is going 525 miles per hour.
B: In 13 hours the plane will travel 6,825 miles.
Answer:
(a) [tex]\sf 450 \ miles \ per \ hour[/tex]
(b) 675 miles in [tex]\sf 1\frac{1}{2} \ hours[/tex]
explanation:
(a)
given time: [tex]\sf 4\frac{2}{3}[/tex]distance: 2,100unit rate:
[tex]\sf \dfrac{total \ distance}{total \ time}[/tex]
[tex]\sf \dfrac{2100}{\sf 4\frac{2}{3}}[/tex]
[tex]\sf \dfrac{2100}{\sf \dfrac{14}{3}}[/tex]
[tex]\sf 450 \ miles \ per \ hour[/tex]
(b)
distance: speed * time
distance: [tex]\sf 450 \\[/tex] * [tex]\sf 1\frac{1}{2}[/tex]
distance: 675 miles
Find the ‘exact’ perimeter of each triangle
Answers
Answer:
The missing degree is 60, but the perimeter is 11 cm.
I hope this is correct, if it's incorrect, I'm sorry
Is 4/3 greater than 9/9
Answers
Hey there!
Is 4/3 greater than 9/9?”
Well…
4/3
= 4 ÷ 3
= 1.333333333333333
9/9
= 9 ÷ 9
= 1
4/3 > 9/9
Thus, your answer: YES 4/3 is GREATER THAN 9/9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP ASAP JUST THE FIRST ONE!!! I WILL MARK BRAINLIEST
Answers
Answer:
x = 5, x = 7
Step-by-step explanation:
tangents from an external point to a circle are congruent , then
x² = 12x - 35 ( subtract 12x - 35 from both sides )
x² - 12x + 35 = 0
(x - 5)(x - 7) = 0
equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x - 7 = 0 ⇒ x = 7
3) Find BC С B 51° 27 390 A 15.0 O 17.0 17.5 18.5
Answers
Answer:
your answer is
180-(51+39)=
180 - 90=90°
BC =90°
SIMPLIFY!!!!!!!! HELPPPPPP!!!!!
(10a^4b^6)(3a^5b^2) -7a^9b^8
Answers
Answer:
Step-by-step explanation:
then simplify
what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas
Answers
The mode of the given data is equal to bowls of spaghetti.
Given the following data:
Bowls of spaghetti = 57.Bowls of cereal = 37.Quantity of sandwiches = 14.Personal pizzas = 17.What is mode?In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.
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Is this worded weird or is it just me?
Answers
Answer:
It does seem to be worded slightly off
HELP PLEASE!!!
Solve using elimination-
5x-6y=12 10x-12y=32
Answers
Step-by-step explanation:
-6y×-2=+12y
5x×-2=-10x
12×-2=-24
=0
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 25t – 16t2. If the ball was on a path to reach the net 1. 7 seconds after the shooter launches it, does the leaping player block the shot? yes, exactly 0. 6 seconds after the shot is launched yes, between 0. 64 seconds and 0. 65 seconds after the shot is launched yes, between 0. 84 seconds and 0. 85 seconds after the shot is launched no, shot not blocked.
Answers
The shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
what will be the time in which the blocker will block the ball?The given equation for ball height
[tex]=6+30t-16t^{2}[/tex]
The equation for the blocker's height will be
[tex]=9+25t-16t^{2}[/tex]
But, the shot is made before two-tenths of a second or 0.2 seconds therefore modified equation for ball height is
[tex]=6+30(t-0.2)-16(t-0.2)^{2}[/tex]
Now for the shot to be blocked, the height of the shot-blocker must be greater than the height of the ball which is shot before 0.2 seconds :
[tex]9+25t-16t^{2} \geq 6+30(t-0.2)-16(t-0.2)^{2}[/tex]
[tex]9+25t-16t^{2} \geq6+30t-6-16(t^{2} -0.4t+0.04)[/tex]
[tex]9+25t-16t^{2} \geq30t-16t^{2} -6.4t+0.64[/tex]
[tex]9+25t\geq36.4t-0.64[/tex]
[tex]9.64\geq11.4t[/tex]
[tex]t \leq \dfrac{9.64}{11.4}=0.846[/tex]
Thus the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
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Answer:
C
shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
Step-by-step explanation:
On edge
Simplify each algebraic expression by combining like terms.
2x + 5y + 6x - 5x + 3y
x2 + 2x + 3x2 + 4x - 2x2 + x
Answers
Answer:
2x^2+7x and 8y+3x
Step-by-step explanation:
Okay for the first one when you combine like terms you are adding the ones with the same terms so the ones that have X in it you add, the one with Y you add so it would be
2x+6x=8x ----> 8x-5x=3x
5y+3y=8y so
8y+3x
same thing for the other one so the answer is:
2x^2+7x
8x+4=4(2x+1)
Solve for X
Step by Step
Answers
Answer:
6x+5 that's the answer what I have
what's 8 divided by 2/3
Answers
Answer:
It's 12
Step-by-step explanation:
8 divided by 2/3 is 12
hope it helps
Answer:
12
Step-by-step explanation:
8 / (2/3) = 8 x (3/2) = 24/2 = 12
2i ² * 3i
what is the answer???
Answers
Answer:
12i
Step-by-step explanation:
2i×2i=4i
4i×3i=12i
Find the area and perimeter of a rectangle.
the length is x+6 the width is x+2
Answers
Answer:
Area = x² + 8x + 12Perimeter = 4x + 16Step-by-step explanation:
The area of a rectangle is given by the formula:
Area=width×height
The perimeter of a rectangle is given by the formula
Perimeter=2(width+height)
Area
(x + 6) × (x+2) =
x² + 2x + 6x + 12
x² + 8x + 12
------------------
Perimeter
2 × (x + 6 + x + 2) =
2 × (2x + 8) =
4x + 16
Triangle has vertices D(1, 2), E(0, 4), and
F(1, –1). Find the coordinates of the triangle
after a dilation with a scale factor of 3.
Answers
Answer: D'(3, 6), E'(0, 12), F'(3, -3)
Step-by-step explanation:
Aiko is finding the sum (4 5i) (–3 7i). She rewrites the sum as (–3 7)i (4 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?.
Answers
Answer:
Distribute Property
Step-by-step explanation:
In the first expression, 7 is the only coefficient of i in the second term, and 5 is the only coefficient of i in the first term. The rewritten sum would simplify to -3i +7i +4i+5i.
Giving right answer branleist
Answers
Answer:
The slope is 11/5 or 2.2, gimme that brainliest
Kristin and Julio are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and
packages of gingerbread cookie dough. Kristin sold 9 packages of sugar cookie dough and 9 packages of gingerbread cookie
dough for a total of $162. Julio sold 13 packages of sugar cookie dough and 8 packages of gingerbread cookie dough for a
total of $169. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough?
A packag&of sugar cookie dough: $13, package of gingerbread cookie dough: $5
B. package of sugar cookie dough: $5, package of gingerbread cookie dough: $13
C. package of sugar cookie dough: $10, package of gingerbread cookie dough: $8
D. package of sugar cookie dough: $5, package of gingerbread cookie dough: $20
Answers
Explanation: Form 2 simultaneous equations
9s+9g=162 for Kristin (equation 1)
13s+8g=169 for Julio (equation 2)
If you get the coefficients for g to the same number you get
72s+72g=1296 (equation 1)
117s+72g=1521(equation 2)
You can then take equation 2 away from equation 1 leaving you with
45s=225
s=5
Then sub s=5 into the original equation
9s+9g=162
9x5+9g=162
45+9g=162
9g=117
g=13
Therefore s=$5 and g=$13
please help i don’t understand
Answers
Answer:
D
Step-by-step explanation:
First of, let's make a table for y = cos(x)
(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)
Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.
(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)
Graphing these coordinates, we find that the answer is D.
Quadrilateral ABCD is inscribed in this circle,
What is the measure of
Enter your answer in the box.
Answers
What is the domain and range written in inequalities?
I believe the domain is all real numbers but I need the range.
Answers
Answer:
Range => y ≤ -2
Domain => All real numbers
Step-by-step explanation:
As it extends horizontally either way, domain can be any possible value.
Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.
What is the slope of the line that passes through the points (-9, -2) and (-9,-6 )? Write in simplest form
Answers
Hello.
There are really 2 ways to think about the given problem.
First, we can use the slope formula:
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =[/tex]
Slope = undefined
The second way is to just take a look at the points.
You should notice that the x-coordinates are the same.'
If the x-coordinates are the same, then the slope is
[tex]\Large\boxed{Und.efined}}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
undefined
Step-by-step explanation:
the x-coordinates are the same look
HELP!!! WILL MARK BRAINLIST!!!
Answers
Answer:
4 and 3/5
Step-by-step explanation: