Unit cost = total price / total amount.
A) 2.99 / 200 = $0.01495 per ml
B) 3.80 / 450 = $0.00844 per g
Round the answers as needed.
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
Show that (2.1) is a solution of the system of equations.
Substitute (2, 1) into x + 3y = 5 to get -
Simplify the equation to get -
Substitute (2, 1) into y = -x+ 3 to get -
Simplify the equation to get -
Answer:
Substitute (2, 1) into x + 3y = 5 to get 2 + 3(1) = 5
Simplify the equation to get 5 = 5 is true
Substitute (2, 1) into y = –x + 3 to get 1 = -(2) + 3
Simplify the equation to get 1 = 1 is true
Step-by-step explanation: well i am doing it right now and i got it right
whta is the first quartile
Answer:
First quartile: the lowest 25% of numbers.
Step-by-step explanation:
you're welcome.
The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year
Answer & Step-by-step explanation:
If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.
Apples:
120 × 590 = 70800
Pears:
90 × 590 = 53100
Now, we add 70800 to 53100.
70800 + 53100 = 123900
So, the orchard produces 123900 pounds of fruit in one year.
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and nine inches tall. Sam fills the aquarium. How many cubic inches of water are in Sam's aquarium?
Select one:
2,112 cubic inches
1,449 cubic inches
1,920 cubic inches
1,728 cubic inches
The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
Learn more about cuboid;
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The sum of two numbers is 198. If one number is 20% larger than the other number, what are the numbers?
x + y = 198
y = 1.20 x
x + 1.2 x = 198
2.2x = 198
x = 198/2.2 = 90
y = 198 - 90 = 108
Answer: 90 and 108
Answer:
108 and 90
Step-by-step explanation:
let the two numbers be x and y
from the question let y be the greater number
therefore, y = 20%x +x
y=20/100x + x
y=(20x+100x)/100
y=120x/100
y=1.2x
from the question
x+y=198______(1)
x+1.2x=198
2.2x=198
x=198/2.2
x=90
from (1)
x+y=198
90+y=198
y=108
x=90 y=108
A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
reaching into the bag and selecting a yellow marble?
1/13
2/13
1/6
2/6
Answer:
It would be B.
Step-by-step explanation:
Hope it helpssss
a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone
Answer:
625.5 cm^2
Step-by-step explanation:
The volume of a cone is
V = 1/3 B h
4170 = 1/3 B 20
4170 = 20/3 B
Multiply each side by 3/20
4170 *3/20 = B
625.5 = B
Hey there! I'm happy to help you!
The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...
The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.
In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.
In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.
4,170*3= 12510
The other step we took was multiply the base by the height, which is 20 centimeters. To get our base, we will divide by the height instead!
12510/20= 625.5
Therefore, the area of the base of the cone is 625.5 centimeters squared.
I hope that this helps! Have a wonderful day!
A right triangle has side lengths of a, b, and cunits. The longest side has a length
of c units. Complete each equation to show three relations among a, b, and c.
a. c² =
b. a^2=
c. 6² =
Answer:
[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]
[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]
[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]
Step-by-step explanation:
Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.
It is given a right angled triangle with sides a, b and c.
And c is the longest side.
So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.
No condition is given about the base and height.
So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.
We know that, pythagoras' theorem holds true in every right angled triangle.
According to pythagoras' theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]
So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]
Using equation(1):
Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]
Also,
Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]
Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Answer:
StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction
StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction
StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction
Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
will you go out with me
Step-by-step explanation:
i will make pumpkin pie
I need help to find the volume
Answer:
320
Step-by-step explanation:
To find the volume of a rectangular prism, you simply need to multiply together the width, length, and height. 16*5*4=320 cubic centimeters. Hope this helps!
What is the value of h in the figure?
Step-by-step explanation:
Both hypothesis are 3
so,
sin 45 = h/3
h= 3 sin 45
[tex]h= \: \frac{3}{ \sqrt{2} } [/tex]
Maria earned $20 walking her neighbor's dogs last week. She went shopping today and spent $8 on shampoo and conditioner. What is her current financial standing? *
The number 1729 is the smallest number that can be expressed as the sum of two cubes in two different ways as 1729 = 12^3 + 1^3 = 10^3 + 9^3. Find two other numbers with the same property. Express them as the sum of two cubes.
Answer:
4104 and 13832
Step-by-step explanation:
This type of number is known as the Hardy-Ramanujan Number.
We have that 1729 is the first number where this is found, but there are others. The second number that meets this is:
4104
2 ^ 3 + 16 ^ 3 = 9 ^ 3 + 15 ^ 3
And we also have:
13832
18 ^ 3 + 20 ^ 3 = 2 ^ 3 + 24 ^ 3
That is to say, the numbers 4104 and 13832 comply with this property
The radius of a cylindrical water tank is4.5ft , and its height is12ft . What is the volume of the tank? Use the value for , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
[tex]763 ft^3[/tex] or 763 cubic feet.
Step-by-step explanation:
The tank is cylindrical and the volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius and h = height
The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.
Therefore, the volume of the cylindrical water tank is:
[tex]V = \pi * 4.5^2 * 12\\V = 763.407 ft^3[/tex]
Approximating to whole number, the volume of the tank is [tex]763 ft^3[/tex] or 763 cubic feet.
A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.
Answer:
since the ratio of both volumes is approximately 4, then we can say Nicholas is correct
Step-by-step explanation:
Firstly, what we need to do is to calculate the volume of both.
For the cylindrical bucket, the volume can be calculated as
pi * r^2 * h
where r is 6 inches and h is 15 inches
The volume is thus
pi * 6^2 * 15 = 540pi inches*3
For the spherical storage, the volume can be calculated using the formula
V = 4/3 * pi * r^3
with r = d/2 = 24/2 = 12 inches
The volume is thus;
V = 4/3 * pi * 12^3 = 2,304 pi inches^3
Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.
Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times
log x + Log(x+5) = log 6
Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
*
Convert 315º to radians:
Answer:
degrees ⋅(π radians /180 degrees )
the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.
315 degrees ⋅(π radians /180 degrees )
315 and 180 are both divisible by 45 , so.
74⋅π radians = 74π radians.
How many 2-digit numbers are multiples of either 5 or 7?
The total number of 2-digit numbers that are multiples of either 5 or 7 is 27
How many multiples of 5 are there?
The multiples of 5 end on 0 or 5, so we have:
10, 15, 20, 25,..., 95
A total of 17 numbers of 2 digits are multiples of 5.
How many multiples of 7 are there?
7*2 = 14
7*14 = 98
So there are 14 - 2 = 12 multiples of 7 in the range.
Such that:
7*5 = 35
7*10 = 70
So there are 2 common multiples of 5 and 7.
Then the total number of 2-digit numbers that are multiples of either 5 or 7 is:
17 + 12 - 2 = 27
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5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]
[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]
[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]
Pretty please for a homie
6 + V196
4
What’s the two solutions
Answer:
hi
Step-by-step explanation:
help me fill this out thanks
Answer:
Perimeter = 80mm
Step-by-step explanation:
= 4(side)
= 4(20)
= 80mm
hope it helps!
Answer:
What is the perimeter of this square? 80 mm
Step-by-step explanation:
20 + 20 + 20 + 20
= 4 × 20
= 80 mm
How would I write out,10 times a number increased by four is no more than 25 as an inequality?
Answer:
10x + 4 [tex]\geq[/tex] 25
Which of the following statements is true?
Sedimentary rock is formed by heat and pressure.
Seasons are caused by the Earth's tilted axis.
The Earth is a perfect sphere.
The rock cycle always begins with igneous rock.
Answer:obviously seasons are caused by the earths tilted axiz
Step-by-step explanation:
Answer:
Seasons are caused by the Earth's tilted axis.
Step-by-step explanation:
The Short Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
Factor the quadratic expression x2−13x−48.
Please enter your answer in the box below.
Answer:
(x-16)(x+3)
Step-by-step explanation:
A swimming pool has a length of 100 meters, a
width of 25 meters and a depth of 4 meters
throughout the whole pool. How much water
can fill the pool?
Answer:
[tex]10000m^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism.The swimming pool takes the shape of a rectangular prism, and we are required to find the volume of the pool.
Given data
length l = 100m
width w= 25m
depth/height h= 4m
We know that the expression for the volume of a rectangular prism is
[tex]volume= length*width*height\\[/tex]
substituting our given data we have
[tex]volume = 100*25*4\\volume= 10000m^{3}[/tex]
Hence the volume of water that can fill the pool is [tex]10000m^{3}[/tex]
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of fruit will be a nectarine? Type your answer as a fraction in simplest form.
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer:
its actually 3/8 trust me
Step-by-step explanation:
