Given:
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.
To find:
The constant of proportionality
Solution:
We have,
[tex]P=0.25n[/tex] ...(i)
where P is the price and n is the number of bananas.
Price P is directly proportional to the number of bananas. So,
[tex]P\propto n[/tex]
[tex]P=kn[/tex] ...(ii)
Where, k is the constant of proportionality.
On comparing (i) and (ii), we get
[tex]k=0.25[/tex]
Therefore, the constant of proportionality is 0.25.
8 is 25% of what number?
Answer:
32
Step-by-step explanation:
25% is the same as 1/4
8 times 4 is 32 so 8 is 25% of 32
Answer:
25% would be 8
50% would be 16
75% would be 24
100% would be 32
A circle has a diameter of 6ft. What is the circumference of the circle?
A group of 15 people each bought both a book that cost x dollars and a bookmark that cost $1. A group of 3 people each bought both a book that cost x dollars and a backpack that cost $36. Both groups spent the same amount of money. What is the price of the book?
Answer:
$1.40
Step-by-step explanation:
Answer:
The price of the book is $7.75.
Step-by-step explanation:
Let's first establish an equation.
If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.
Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.
Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:
[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]
Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.
Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?
PLEASE HELP WORTH 35 POINTS
Answer:
11.2
Step-by-step explanation:
The answer is 11.2
11.2*.25=2.8
11.2-2.8=8.4
Hope this helps <3
I need help..........
A line with a slope of
17
19
passes through the point (0, 18). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
3/4 divided by 6/7 find the quotient
Answer:
Math
Step-by-step explanation:
12
Answer:
0.875
Step-by-step explanation:
7/8
0.875
Peter is renting two kinds of rafts for a vacation company. One type seats 3
people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].
It's always a good idea to put these equations under each other:
[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]
We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]
Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
I urgently need help!!!!
Answer:
The triangle is isosceles and not right
Hope this helps.
Answer:
A or B
Step-by-step explanation:
That looks like an isosceles triangle. I'm not sure what they mean by right or not. I'd say the first or second option.
delta math (z^r)^2r i need to simplify
Answer:
The answer is r[tex]z^{2r}[/tex]
Step-by-step explanation:
Solve 3x - 5 = 16
Write your solution starting with x= .
Answer:
x =7
Step-by-step explanation:
To solve this, you must get x by itself.
3x-5 = 16 1. Add 5 on both sides
3x = 21 2. Divide by 3 on both sides
x = 7
2.9 months to 4.9 months
Hi there!
For 2.9 months to reach 4.9 month, simply subtract both terms to find the result of months left to get to 4.9 months.
[tex]4.9-2.9=4-9+9-9=2.0[/tex]
Final Result: 2.0
Find the Product and the quotient. 1/3 x 1/6 =
1/6 divided by 3 =
Answer:
1/3 x 1/6 = 1/18
1/6 divided by 3 = 1/6 x 1/3 = 1/18
Same answer for both.
✨ Easy points if you know how to do slope well ✨
Answer:
I believe it's A
Step-by-step explanation:
Answer:
its y=x
Step-by-step explanation:
Need help ASAP!
Which inequality is represented by this graph
Answer:
a
the first answer
Step-by-step explanation:
James has $32 and earns $10 per week for his allowance.
What is the initial value for the scenario described?
10
32
42
320
Answer:
32
Step-by-step explanation:
it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week
The ordered pair that is a solution of the equation y= 162 - 12 is:
Answer:
the answer is 150
Step-by-step explanation:
162-12=150y
Answer:
(0, 150)
Step-by-step explanation:
Mai biked 3 1/2 miles today, and Noah biked 1 1/8 miles. how many times the length of Noah's bike ride was Mia's bike ride
Answer:
3
Step-by-step explanation:
PLEEEEEEEASE HELP
During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 64 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.
INEQUALITIES!!!
Answer:
1.46 minutes 38F+26F=64 feet
Step-by-step explanation:
T/F
1/26
1.46/38
2/52
Seth is a gold miner. The function P = 45g + 15 represents the amount of money he gets for each gram, g, of gold. If he finds a nugget, the value of the nugget is 1.5 times the value of the weight of gold. The function B = 1.5P represents the amount of money for a gold nugget. Which function represents the amount of money for a gold nugget weighing g grams?
Answer: 67.5G + 22.5
Step-by-step explanation:
The Sullivans purchased $195.60 worth of school
clothes during their back to school shopping haul.
The sales tax in their state is 6%. How much sales
tax did they have to pay?
Answer:
$11.74
Step-by-step explanation:
195.60/100 X 6 = 11.736
monetary unit so round to 2dp
11.74
what is 9/32 + 7/8 plz help
Answer:
1 5/32
Step-by-step explanation:
First, find common denominators. What you do to the denominator, you must do to the numerator.
First, multiply 4 to both the numerator and denominator of the second fraction:
(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32
Next, add across:
9/32 + 28/32 = 37/32
Simplify. Turn the improper fraction into a mixed fraction:
37/32 = (32 + 5)/32 = 1 5/32
1 5/32 is your answer.
~
Answer:
37 /32
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32
For the 1st fraction, since 8 × 4 = 32,
7 /8 = 7 × 4
8 × 4 = 28 /32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
9 /32 = 9 × 1
32 × 1 = 9 /32
Add the two fractions:
28 /32 + 9/32 = 28 + 9 /32 = 37 /32
So, 7/8 + 9/32 = 37/32
In mixed form: 1 5 /32
Please mark as brainliest!
evaluate the trigonometric funtion of the angle theta
Find the product of the following polynomials. (3x+2)(5x-4)
Answer:
2
15x -2x-8
Step-by-step explanation:
the two means squared btw
Answer:
The number one
Step-by-step explanation:
(3x+2)(5x−4)
=(3x+2)(5x+−4)
=(3x)(5x)+(3x)(−4)+(2)(5x)+(2)(−4)
=15x2−12x+10x−8
=15x2−2x−8
At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall, at what time will the snow reach the very top of Dario's front door?
30 POINTS PLUS BRAINLIEST!!!
Answer:
Step-by-step explanation:
at 9:00AM starts snowing, 84/6=14
9:00 AM..........................0 inches
10:00AM..........................6inches
11:00AM...........................12 inches
12:00PM...........................18 inches
.......................................................
11:00PM..............................84 inches
(-6-4) divided by (-5)
Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
The equivalent value of the fraction is A = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
Let the denominator of the fraction be p
Now , A = p/q
when the value of p = ( -6 - 4 )
And , when the value of q = ( -5 )
On simplifying the equation , we get
A = ( -6 - 4 ) / ( -5 )
So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )
A = ( -6 - 4 ) / ( -5 )
A = ( -10 ) / ( -5 )
On simplifying , we get
Divide by -1 on both numerator and the denominator , we get
A = 10/5
A = 2
Therefore , the value of A = 2
Hence , the fraction is A = 2
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ6
a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!
Answer:
True
Step-by-step explanation:
opposite is irrational number
Please help. I attached the file below
Answer:
33.2
Step-by-step explanation:
41.5÷1.25=
33.2
Answer:
31.6 or 31 6/10 or 31 3/5
Step-by-step explanation:
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
How many triangles can be formed with the angle measures: 20, 70, and 90 degrees?
Answer:
A right triangle with degrees 20, 70, 90.
Step-by-step explanation:
UGENT! Please help due in 10 minutes :c I tried but I just..never got it..
Answer:
#19:the rule is every-time use the number and times it by 80%
#20:using a calculator, i got 16. i think it is wrong, but that is what i got.
