The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1
Answer:
The expression is a polynomial.
Trinomial (according to the number of terms)
Step-by-step explanation:
Given the algebraic expression, 6x² + x + 1:
A term comprises of a product of numerical coefficient and one of more variables raised to powers. Like terms have the same variables and exponents.
While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.
A monomial is a single-termed polynomial.
A binomial is a polynomial with two terms.
A trinomial is a polynomial that has exactly three terms.
With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1, is a trinomial, given that it has three terms:
6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.Therefore, the given expression is a polynomial containing three terms, making it a trinomial.
For what value of k does the equation 6(x+1)+2 = 3(k/5x + 1) +3 have no solution
This one is an interesting question.
Lets solve first the equation by isolation of the unknown x:
6x + 6 +2 = (3k / 5x )+3 +3
6x = (3k/5x) + 6 -6-2
6x = (3k/5x) -2
6x = (3k / 5x) - (10x / 5x)
6x = (3k-10x)/5x
6x*5x = 3k - 10x
30x² = 3k - 10x
30x² + 10x = 3k
30x² + 10x - 3k = 0
This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.
But delta = b² - 4ac where b = 10, a = 30 and c = -3k
So we need to solve delta < 0
100 - 4*30* (-3k) < 0
100 - 120*(-3)*k < 0
100 - (-360)k < 0
100 + 360k < 0
360k < -100
k < -100/360= -10/36
So there is no solution for all k strictly less than -10/36
Good luck
In the middle school debate club, 60% of the members are in sixth grade. If there are 18 sixth graders in the debate club, how many total members are there? Which types of lifts require spotters?
Answer:
48
Step-by-step explanation:
take 60% of 80, or 80 x .6
2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
What is the y-intercept for the cubic function: 4x^3-3x^2+7?
(0,7)
(7,0)
(0,4)
(0.3)
The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)
Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero
Substituting x = 0 into the polynomial function will give;
y = 4x^3-3x^2+7
y = 4(0)^3-3(0)^2+7
y = 0 - 0 + 7
y = 7
Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)
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The table shows a set of points on a line. What is the slope of the line?
Answer:
-3
Step-by-step explanation:
take a set of points (2,3) (3,-6)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-6-(-3)}{3-2}[/tex]
[tex]\frac{-3}{3-2}[/tex]
[tex]\frac{-3}{1}[/tex]
-3
Somebody, can you you help me with these 2 questions?
left question is 19 right question is 8
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?
Answer:
$1.76
Step-by-step explanation:
First we need to figure out the cost of one apple.
To do this, divide the cost by the amount.
That's .65/3, which equals .216666, but we should round that number to .22
So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76
Hope this helps :))
At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question,
The cost of 3 apples = $0.65
The cost of 1 apple = $0.65/3 = $0.22
The cost of 8 apples = $0.22 × 8 = $1.76.
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Please help. Flow chart proof. I'll give brainliest
Step-by-step explanation:
Statement | Reason
CB=AB Given
DBC=DBA Given
DB = DB Reflexive Property
/_\ DBC
=~
/_\DBA SAS
Sorry for the formatting the =~ means congruent.
(8+ 4)divided by 2 - 3
Answer:
3
Step-by-step explanation:
(8 + 4) / 2 - 3
12 / 2 -3
6 - 3
3
Answer:
3
Step-by-step explanation:
You do the parenthesis first (8+4)
Then you divide 12 by 2 if you are following Pemdas
6 - 3 = 3
Hope this helped!
What is the approximate solution to this?
Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
How much farther did Molly walk than her brother and sister combined?
O 0.38 miles
1.37 miles
O 2.22 miles
O 5.53 miles
Answer:
1.37 miles
Step-by-step explanation:
First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.
M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
solve the questions
Answer:
1
Step-by-step explanation:
= 21/21
= 1
Answer:
90
Step-by-step explanation:
let the number to be found be x then
23 [tex]\frac{1}{3}[/tex] % of x = 21 ( change mixed number to improper fraction )
[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21
[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )
70x = 6300 ( divide both sides by 70 )
x = 90
Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21
Of the 250 sheep in a flock, 42% are spotted. What is the total number of spotted sheep in the flock?
Answer:
should be 105 right
Step-by-step explanation:
Answer:
105 sheep are spotted.
Step-by-step explanation:
42% of the 250 sheep are spotted. We would need to find 42% of 250.
250 * 0.42 = 105
105 sheep are spotted.
Hope this helps.
Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
at least $600 to buy a new computer
Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.
For babysitting, he earns $12 per hour.
For working at the grocery store, he earns $8 per hour.
So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.
He needs to make at least $600 to buy a new computer.
Therefore, we can write the equation:
12x + 8x ≥ 600
Combine the like terms:
20x ≥ 600
Now, solve for x by dividing both sides of the inequality by 20:
x ≥ 600 / 20
x ≥ 30
Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
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Complete question:
"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"
the diameter of an iron ball used in putting the hot is 12cm the density of the iron is 7.89/cm3 calculate the mass of the ball in kg
Answer:
Step-by-step explanation:
radius r of iron ball r=12/2=6 cm
volume of iron ball=4/3 πr³
=4/3π×6³
=288 π cm³
≈288×3.14
=904.32 cm³
density=7.89gm /cm³(unit not mentioned)
mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg
288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)
What is the constant rate of change for this equation y = 1/9x-20 ?
Answer:
like:-
1/9x20 = 2 2/9
1/9-20 = 19 8/9
Step-by-step explanation:
I'm not sureAnswer: The constant rate change would be [tex]\frac{1}{9}[/tex].
Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]
Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20
Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].
Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].
Lastly plug in all the components.
[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]
After solving all this the answer would be [tex]\frac{1}{9}[/tex]
64091÷61=
PLZZ HELPPPPPPPPP
Answer:
1050.67213
Step-by-step explanation:
Jocelyn has apples and apricots in a ratio of 250:15. How many apples does she have if she has 3 apricots?
HELP ASAPP
Answer:50
Step-by-step explanation:
15 : 5 = 3
250 : 5 = 3
A series whose first two terms are -12 to -8 respectively and whose last term is 124
Answer:
first two terms are 6 and 3
Step-by-step explanation:
yuh <3
How does simple
interest show proportional reasoning and
relate to the percent equation?
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
Dilations map lines to lines.
true or false ?
Answer:
true
Step-by-step explanation:
A bathtub is filling with water at a rate of 606060 liters per minute.
How many liters of water are in the bathtub after t minutes?
Answer:
606060t
Step-by-step explanation:
606060 liters x t minutes = 606060t
How many times larger is 8 X 10^5 than 2 X 10^3
Answer:
798,000
Step-by-step explanation:
Simplify all the exponents
8×10^5
=8×100,000
=800,000
2×10^3
=2×1,000
=2,000
Difference=800,000-2,000
=798,000
There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months? a. About how many hits did the website have during January and February?
Answer:
In Jan - 13,759
In Feb - 9,854
In both - 23,613
Step-by-step explanation:
hope it helps
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
The correct answer is approximately 20 ft !
Please mark me brainliest if you are able to do it :)
the answer is 20,336 ft
6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.
kyle has an indoor basketball court. the rectangular court has a perimeter of 200 feet. the length of the court is 12 feet less than three times the perimeter. write an equation to determine the dimensions of the court.
Answer:
200 x 3 - 12=588
use the GCF to factor 16+6
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.