Answer:
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
Step-by-step explanation:
4 packages of 15 balloons for $18 works out to 1 package of 15 balloons for $18/4, or $4.50. That'd be
$4.50
---------------- = $0.30/balloon.
15 balloons
Next: 5 packages of 10 for $16 works out to 1 package of 10 for $16/5, or
1 package of 10 for $3.20. That'd be
$3.20
----------------- = $0.32/balloon
10 balloons
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
If Bella understands the math involved in finding unit costs and actually does the work prior to buying anything, then I'm comfortable with her buying habits.
Both deals are almost same.
We have a girl Bella who is buying balloons for a back to school celebration. She sees there are 4 packages of 15 balloons for $18 and 5 packages of 10 balloons for $16.
We want to know which is a better deal with appropriate reason. We have to morally investigate on the basis of our thinking whether or not Bella's buying habits are good or not.
If 'n' balloons cost $ x, then the cost of 1 balloon will be?The cost of 1 balloon will be = [tex]\frac{x}{n}[/tex] (in dollars)
Now, according to question -
Case 1 :
The total number of balloons are 15 x 4 = 60 balloons.
The cost of these 60 balloons is $ 18.
Cost of 1 balloon = [tex]\frac{18}{60}[/tex] = $ 0.3
Case 2 :
The total number of balloons are 10 x 5 = 50 balloons.
The cost of these 60 balloons is $ 16.
Cost of 1 balloon = [tex]\frac{16}{50}[/tex] = $ 0.32
It can be concluded that the both deals are almost same and i think that it is okay to spend a bit amount of money for a back to school party.
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Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
Hi The point C lies on a straight line AB and CD is a ray . If /ACD = 470 and /DCB = x0, find the value of x. Does anyone know the answer of this question ?
Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
sorry i meant to put this picture.. for math
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
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My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
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A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
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4. How else can the ratio 4/5 be written?
O A.4:5
O B.5:4
O C.54
O D..2
Answer:
Answer is option a) 4:5
Step-by-step explanation:
[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
in 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.
What is the average rate of change in the median home size over this time period?
a.) 112 sq per year
b.) 89 sq per year
c.) 8.9 sq per year
d.) 11.2 sq per year
Answer:
d.) 11.2 square feet per yearStep-by-step explanation:
The difference in sizes:
2169 - 2057 = 112 square feet
It is 10 years from 2000 to 2010
112:10 = 11.2
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
What stamens is converse of p
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isn’t a spade, then 25% of the cards in a deck aren’t spades. If 25% of the cards in a deck aren’t spades, then every fourth card drawn wouldn’t be a spade. If every fourth card drawn isn’t a spade, then 75% of the cards in a deck are spades.
Answer:25
Step-by-step explanation:
Get monkeyd
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.
At the arena, front section tickets are $12.50 more expensive than back section tickets. If 600 front section and 450 back section tickets to a worship music concert were sold for a total revenue of $31,125, how much does each type of ticket cost?
Answer:
Back Section Tickets: $22.50
Front Section Tickets: $35
Step-by-step explanation:
600(12.50+x) + 450(x) = 31125
7500+600x + 450x = 31125
1050x = 23625
x = 22.50 = back section tickets
x+12.50 = 35 = front section tickets
If 8% of a number is 4, what is 12% of a number? Explain your reasoning.
Answer:
0.08, 4, 0.12
Step-by-step explanation:
0.08, 4, 0.12
Find the side length of the rhombus pictured below.
3x -8
x + 10
Hey there! :)
Answer:
19 units.
Step-by-step explanation:
The sides of a Rhombus are all congruent. Therefore:
x + 10 = 3x - 8
Subtract both sides by x:
10 = 2x - 8
Add 8 to both sides:
18 = 2x
Divide both sides by 2:
18/2 = 2x/2
x = 9.
Find the side length by plugging x into an equation:
(9) + 10 = 19 units.
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
NEEEED HELPPP NOWWWW Use long division to find the quotient below.
(x^5+ 18x^2 - 27x) - (x+3)
Answer:
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]
Factor out X from the expression
[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]
Add and subtract [tex]3 {x}^{3} [/tex]
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]
Write 18x as a difference
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]
factor out [tex] {x}^{3} [/tex]from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
Factor out [tex] - 3 {x}^{2} [/tex] from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
factor out 9x from the expression
[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]
Factor out -9 from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]
factor out x+3 from the expression
[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]
Reduce the fraction with X+3
[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]
Distribute X through the parentheses
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]
hope this helps...
Good luck on your assignment...
An NBA center recently signed a seven-year contract for $121 million. What is the present value of this contract, given a 9% interest rate? In other words, how much must the ball club invest when the contract is signed, so that it can make seven equal payments of $17285714.29, the first one due immediately?
Answer:
PV= $86,998,184.72
Step-by-step explanation:
Giving the following information:
Annual payments= $17,285,714.29
Number of years= 7
Interest rate= 9%
First, we need to determine the future value incorporating the interest rate.
FV= {A*[(1+i)^n-1]}/i
A= annual payment
FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09
FV= $159,036,085.1
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 159,036,085.1/1.09^7
PV= $86,998,184.72
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
Can someone please help me I really need help please help me thank you
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
A particular movie theater charges $ 9.00 per adult ticket and $ 3.5 0 per child ticket. Suppose 550 people attended a movie and the total revenue from ticket sales was $ 3575 . Write two linear equations to represent a system to solve this, where x represents the number of adults attending the movie and y represents the number of children attending the movie. Write the equations, but do not solve them. The first equation must come from the information given about the total attendance and the second must come from the ticket prices and revenue. 1)= ? 2)= ?
Answer:
If x represents the no. of adults
and y represents the children, then
x + y = 550
9x + 3.50y = 3575
Answer:
Step-by-step explanation:
Number of children = y
Number of adults = x
Total people = 550
x + y = 550 ------------------ (I)
Charge for 'y' children =3.50 * y = 3.5y
Charge for 'x' adult = 9 * x = 9x
Total amount = $ 3575
9x + 3.5y = 3575 -------------(II)
Multiply equation (I) by (-9)
(I)*(-9) -9x - 9y = -4950
(II) 9x + 3.5y = 3575 { Now add and so 'x' will be eliminated}
- 5.5y = -1375
y = -1375/-5.5
y = 250
Plug in y = 250 in equation (I)
x + 250 = 550
x = 550 - 250
x = 300
Number of children = 250
Number of adults = 300
I NEED HELP PLEASE, THANKS! :)
Answer: 2157
Step-by-step explanation:
3 | 5 10 3 8 -6 -3
| ↓ 15 75 234 726 2160
5 25 78 242 720 2157 ← remainder = f(3)
Answer:
Step-by-step explanation:
f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)
means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3
it won't let me add more attachments
Simplify the expression in the following photo.
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
Which expression is equivalent to 4(7 + 8)? (3 points) 11 + 8 11 + 12 28 + 12 28 + 32
Answer:
D) 28+32
Step-by-step explanation:
Well, if you solve the equation in the question, you derive 60.
So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.
Hope this helped.
Answer:
28 + 32
Step-by-step explanation:
4(7 + 8)= 4*7+4*8= 28+32= 60
Last option is correct
TIME REMAININ
y = -6x+2
-12x - 2y = -4
How many solutions does this linear system have?
Answer:
Infinitely many solutions.
Step-by-step explanation:
y = -6x + 2
Add 6x to both sides
6x + y = 2
-12x - 2y = -4
Divide each term by -2
6x + y = 2
Since both equations are actually exactly the same, this linear system will have infinitely many solutions.
Hope this helps!
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then
central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle
central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]
Answer:
B. [tex]\frac{\pi }{2}[/tex] radians
Step-by-step explanation:
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