Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
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The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
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What does it mean to solve an equation?
Complete the statements.
The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.
is a solution of the equation because 5 = 5 is a true statement.
Answer: y, value of y, 9
Step-by-step explanation:
Answer:
1. Y
2. Value of Y
3. 9
Step-by-step explanation:
The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?
Y=5x+6; x=-2 find the value of y for the given value of x
Answer:
-4
Step-by-step explanation:
5 * -2 = -10 + 6 = -4
This is getting more difficult!
The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation
The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)
How to determine the vertex?The equation is given as:-
[tex]y = x^2 - 8x + 3[/tex]
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
By comparison, we have:
a = 1; b = -8; c = 3
The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = \frac 8{2*1}[/tex]
[tex]x = 4[/tex]
Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]
[tex]y = 4^2 - 8 * 4 + 3[/tex]
[tex]y = -13[/tex]
When x = 2 and 3, we have:
[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]
[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]
When x = 5 and 6, we have:
[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]
[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]
So, the table of values is:
x y
2 -9
3 -12
4 -13
5 -12
6 -9
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What are the zeros of the function y=6x^2-11x+3
In diagram below?FG bisects
Answer: 107 degrees
Step-by-step explanation:
B^2-6b+9 b=2 evaluate the expression
Answer:
the answer is 5 :)
Step-by-step explanation:
B^2-6b+9 b=2
2^2-6(2)+9
8-6(2)+9
8-12+9
-4 + 9
=5
ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP
Step-by-step explanation:
i answered this one already as well.
A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.
Answer: 1,393 meters tall
Step-by-step explanation:
Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.
y
= a(1–r)t
y
= 1,710(1–0.05)4 Plug in values
y
= 1,710(0.95)4 Subtract
y
= 1,710(0.81450…) Simplify
y
= 1,392.80568… Multiply
Round to the nearest whole number.
1,392.80568… → 1,393
To the nearest whole number, the mountain will be 1,393 meters tall.
What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Answer:
factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integerStep-by-step explanation:
FactorsA set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:
f1 × f2 × f3 × ... = N
Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.
When N = 25, the prime factors are {5, 5}. That is ...
5×5 = 25
__
DivisorsA "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.
Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.
__
MultiplesFor an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.
Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.
__
Another example
When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....
Evaluate the expression below for x = 2, y=-3, and z=-1.
x2 z2 - y2(x+z)
A. -23
B. -5
C. 13
D. 27
Answer:
It should be B
Step-by-step explanation:
2 2 -1 2 - -3 2 (2+-1)
1. Always do what's in parentheses
so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.
2 2 -1 2 - -3 2 -1
Then get all exponents done.
4 -1 - 9-1
3-9-1
-6-1
Which should give u -5
find the circumference of circle with radius rcm
Step-by-step explanation:
By definition, pi is equal to c/d, where c is the circumference and d is the diameter.
This means that C = pi(d).
However, since diameter is twice the radius, if we let the radius be r cm, d=2r.
This gives that C=2pi(r).
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
Analyze the diagram below and answer the question that follows.
In the triangle above, what is the measure of ∠A?
A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined
Answer:
B
Step-by-step explanation:
sames sides same angle
180=90+2x
180-90=2x
90=2x
x=45
Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
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Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
What is the mean and median
of these data:2,5,9, 11, 19
Answer:
mean = 9.2
median = 9
Step-by-step explanation:
mean = sum of data / number of data
mean = 2 + 5 + 9 + 11 + 19 / 5
= 46 / 5
= 9.2
median = middle number
= 9
I need 3 1/2 cups of flour to make a birthday cake I only have 1 1/3 cups. How much flour do I still need?
Answer:
2 1/6 cups of flour
Step-by-step explanation:
1. 3 1/2 - 1 1/3
2. = 3 3/6 - 1 2/6
3. = 2 1/6
Help pleaseee i am awful at math
Step-by-step explanation:
answer is B
use unitary method to solve it
HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C . (It does not have to be to scale)
Answer:
Answer:
long side/length is 63 cm and short side/height is 28 cm
Step-by-step explanation:
18 x 3.5 and 8 x 3.5
To dilate means to grow so you grow the side by 3.5
The function f(x)=x^2 is graphed on the coordinate grid.
Use the Parabola tool to graph g(x).
g(x)=3x^2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
other points:
x y
-2 12
-1 3
0 0
1 3
2 12
Let's see
g(x)=3x^2Take some cordinates
(0,0)(1,3)(-1,3)(2,12)(-2,12)Graph attached
Find the length of the darkened arc. leave your answer in terms of
Answer:
a
Step-by-step explanation:
you can split nine into three
Answer:
The answer is A.
Step-by-step explanation:
You gotta split 9 into 3
trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?
If i have 36 assignments how many should i do a week to have it all done in 6 weeks
25 points
Answer: 6
Step-by-step explanation: 36/6 = 6
Answer:
6
Step-by-step explanation:
[tex]\frac{36}{6}[/tex][tex]=6[/tex]
6x6=36
Write an equivalent expression to
(x+7)+3y
Answer:
2x+14+6y
Step-by-step explanation:
I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units
Answer:
28
Step-by-step explanation:
Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12
Answer:
12
Step-by-step explanation:
have a good day n ily :)
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.
Answer:
a. House hold laundry
b. Beverages
c. Snacks
Step-by-step explanation:
Do mark brainliest.
#a
For branch A
Household laundryFor branch B
Snacks#b
For branch A
snacksFor branch B
Canned goods#c
Branch A
20+25+15+28+20108Branch B
20+18+30+23+20111Branch B performed better
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =
The distance between the two points pictured will be [tex]\sqrt{61}[/tex].
What is the distance between the two points?The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)= (-3,-2)
(x₂,y₂)=(2,4)
The distance between the two points is found as;
[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]
Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].
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Answer:
n=61
Step-by-step explanation: