Owen bought 15 bananas for $9. What was the cost of the bananas in bananas per dollar?
Answer: 5 banana 3 dollar
Step-by-step explanation:
per dollar"→divide by dollars
15\text{ bananas}:
15 bananas:
\,\,9\text{ dollars}
9 dollars
\frac{15\text{ bananas}}{9}:
9
15 bananas
:
\,\,\frac{9\text{ dollars}}{9}
9
9 dollars
\frac{5}{3}\text{ bananas}:
3
5
bananas:
\,\,1\text{ dollar}
1 dollar
\frac{5}{3}\text{ bananas for every 1 dollar}
3
5
bananas for every 1 dollar
\mathbf{\frac{5}{3}\text{ bananas per dollar}}
5 bananas per 3 dollar
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles.
In 1 hour, a man will walk for 3 miles.
If a machine can make 100 bottles in 20 minutes.
In 1 minute the machine can make 100/20 = 5 bottles.
We have,
Cost of 15 banana = $9
This can be written as:
15 banana = $9
Divide 9 on both sides.
15/9 banana = $1
5/3 banana = $1
The cost of one banana:
15 banana = $9
1 banana = 9/15
1 banana = 3/5
1 banana = $0.6
Thus,
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
Learn more about unit rates here:
https://brainly.com/question/11258929
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Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2
Step-by-step explanation:
if x = -2
= 9x² - 4x - 3
= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]
= 9 × 4 + 8 - 3
= 36 + 8 - 3
= 44 - 3
= 41
[tex]\huge{\boxed{{ x = -2}}}[/tex]
[tex] 9x² - 4x - 3[/tex]
[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]
[tex]↠ 9×4+8-3[/tex]
[tex]↠ 36 + 8 -3[/tex]
[tex]↠ 44-3[/tex]
[tex]↠ 41[/tex]
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]
PLSS HELP Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability? A) 25 coin tosses B) 35 coin tosses C) 55 coin tosses D) 75 coin tosses
Answer:
Its A- 25 coin tosses
Step-by-step explanation:
I took the test
A farmer bought a goat for Rs 15000 and cow for Rs 35000. if he sold the goat at 10% profit and cow at 20% loss, find his profit or loss percent in whole transaction
Answer:
After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500
Goat profit was 1500
Cow loss was - 7000 therefore thw total profit was 8000
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 5/27, ...
Find the 10th term.
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
Polygon angle sum theorem, solve for many points.
Answer:540-452=88
x=88
sum of all is always 540 for pentagons
Step-by-step explanation:
determine whether each pair of polygons is similar.
Answer:
Yes they are similar
Step-by-step explanation:
I hope this helps you have a very nice day
Hwlsibdsja aka sus ejsnahabah HELP
Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
Plz answer question I’m the picture
Answer:
x = 13.5
BC = 30
Step-by-step explanation:
BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.
Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5
determine the range of the inverse of F(x)= square root
x-4
Answer:
y ≥ 4
Step-by-step explanation:
The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.
What is the slope of the line on the graph below?
Answer:
2
Step-by-step explanation:
A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560
Answer:
nvm its acctually B. 460
Step-by-step explanation:
just did it
The expected value of the prize that will be awarded is $460.
What is expected value?The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.
here, we have,
to determine the expected value:
The expected value is calculated using:
E(x) = Σx * P(x)
So, we have:
E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2
Evaluate
E(x) = 460
Hence, the expected value of the prize that will be awarded is $460
Read more about expected values at:
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an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella
Answer:
Area = 121pi/12
~= 31.66 sq units
Step-by-step explanation:
They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.
Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.
Area of a circle is
A = pi × r^2
Area of one slice is 1/12 of the whole.
A(1 slice)
= 1/12× pi × r^2
See image.
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
check the other answer for explanation
Which of the following simulations would not work for the situation described?
A. To simulate randomly selecting a day of the week, assign a one-digit number from 0 to 6 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 6.
B. To simulate randomly selecting a state in the U.S., assign a two-digit number from 01 to 50 to each state. Use a random digit table to generate two digit numbers, ignoring any over 50.
C. To simulate randomly selecting a day of the year, assign a three-digit number from 001 to 365 to each day of the year. Use a random digit table to generate two digit numbers, ignoring any over 365.
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
Using the probability concept, it is found that the simulation that would not work for the situation described is:
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For a week, there are 7 days, and in the trial there are 7 outcomes, hence item a works.The same logic apply for items b and c, as there are 50 U.S states and a year has 365 days, and in each case, respectively, there are 50 and 365 outcomes.As for item d, there are 26 letters in the alphabet, and only 9 digits, hence digits would be repeated and it would not be an accurate simulation.More can be learned about the probability concept at https://brainly.com/question/15536019
There are 12 cookies and 4 friends what fraction of the cookies will each friend get?
Answer:
1/4
Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.
You're welcome! Please mark me as Brainliest >w<
[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm
[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ axy} [/tex]
50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent
Answer:
$135
Step-by-step explanation:
15-12=3/2=1.5
12+1.5=13.5
13.5*10=135
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]
where a and b are the parallel sides (bases) and h is the height
Therefore,
[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]
If the price of sod is $12 per square metre, then
total cost = 135 x 12 = $1620
need help with 8 and 9.
Answer:
8. parallel
9. not parallel
Step-by-step explanation:
Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.
8.We can compare the whole to the short part:
102/45 ?? (41.8 +33)/33
2.266... = 74.8/33 = 2.266...
The sides are proportional, so the segments are parallel.
__
9.We can compare the longer portion to the shorter portion.
38/19 ?? 52/24
2 ≠ 2 1/6
The sides are not proportional, so the segments are not parallel.
_____
Additional comment
Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...
19/24 vs 38/52
19/(19+38) vs 24/(24+52)
or the inverse of these:
24/19 vs 52/39, for example
what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?
Answer:
5 ≤ y ≤ 205
Step-by-step explanation:
Input values 0 and 50 for x in the function f(x) - 4x + 5
Solve:
f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205The range is between these two points: 5 ≤ y ≤ 205
-Chetan K
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
A. 32.4
B. 97.2
C. 121.5
D. 162. 1
Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
Algebra 2
Please help!
Answer:
3x
Step-by-step explanation:
Since k(x)=27x^3, we replace it in h( k(x) ), we will get:
h(27x^3)
Given that h(x)={3}√x [my keyboard doesn't support cubic root]
= {3}√(27x^3)
27 is 3^3,
Simplifying, the final answer is:
3x.
Answer:
3x
Step-by-step explanation:
[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]
The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.
Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D : [tex]3x + 2[/tex]
How to factorize a polynomial?Let the polynomial A(x) has one factor f(x).
Then, it means, we have:
[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]
Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]
Thus, the other factor of that polynomial is
[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]
For given case, the polynomial [tex]A(x)[/tex] is
[tex]A(x) = 6x^2 - 7x + 2[/tex]
Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]
Thus, its second factor is obtained as:
[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]
Thus, the second factor of the given polynomial is
Option D : [tex]3x + 2[/tex]
Learn more about factors of polynomials here:
https://brainly.com/question/16078564
5/6−1/6 Subtract the fractions.
Answer:
4/6 but its 2/3 simplified.
Step-by-step explanation:
You may subtract the numerator but not the denominator.
In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp
Answer:
ok so basically 21
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
31 /150
Decimal Form: 0.206
How do you divide a whole number by a fraction, for example
7 divided by 3/4
[tex]7 \div \frac{3}{4} = \\ [/tex]
[tex]7 \times \frac{4}{3} = \\ [/tex]
[tex] \frac{7 \times 4}{3} = \\ [/tex]
[tex] \frac{28}{3} \\ [/tex]
Water flows through a drain at a rate 2kl/min
How much water flows through the drain in one hour
Answer:
Step-by-step explanation:
2 kl/min * 60 minutes = 120 kl
Answer:
120 kl/min
Step-by-step explanation:
There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min
Add: 17 + 314 + 12 Write your answer in simplest terms.
fine the output when the input is n.
Step-by-step explanation:
the output is -17 while the input is 5
Which two numbers is 28 (square root) between?
A. 5.0 and 5.1
B. 5.2 and 5.3
C. 5.4 and 5.5
D. 5.6 and 5.7
Answer:
The answer is B.
Step-by-step explanation:
First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3
Hope I helped yo.