Answer:
50
Step-by-step explanation:
To find the whole you must write this as an equation.
.44x = 22
isolate x by dividing by .44
22/.44=x
x = 50
Answer: the whole is 50
Step-by-step explanation:
22 44
——- = ———
x. 100
cross multiply.
22x100=2200
2200 divided by 44 = 50
18. Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom and sides of the cylinder. The diameter of each ball is 16 cm. What is the volume of the cylinder rounded to the nearest cm. ENTER NUMBERS ONLY. DO NOT PUT THE UNITS18. Three balls are packaged in a cylindrical container as shown below. The balls * just touch the top, bottom and sides of the cylinder. The diameter of each ball is 16 cm. What is the volume of the cylinder rounded to the nearest cm. ENTER NUMBERS ONLY. DO NOT PUT THE UNITS
The volume of the cylinder rounded to the nearest cm is,
V₁ = 9,646.1 cm³
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume: V₂ =4/3 π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.
Here, We have,
D = 16 cm ⇒ r = 16 ÷ 2 = 8
π = 3.14
a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 16 cm = 48 cm
r = 8 cm
So,
V₁ = π r² h
V₁ = 3.14 × (8 cm)² × 48 cm
V₁ = 9,646.1 cm³
Thus, The volume of the cylinder rounded to the nearest cm is,
V₁ = 9,646.1 cm³
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Does anyone know this?
Answer: i think it's 942,480
Step-by-step explanation:
i just multiplied all of the numbers but i'm probably wrong srry
Answer:
7986m^2
Step-by-step explanation:
140-102=38
area of triangle:
(38*66)/2=1254m^2
area of rectangle:
66*102=6732m^2
total area:
1254+6732=7986m^2
If the cost of electricity increases by 30% by what percentage one should reduce his spend in order that spends on electricity stays the same?
Answer:
That depend on how much you spend on electricity, and how much other spending you do.
For example: If your electric bill is 100 dollars, and it increases 30 percent to 130, that’s 30 extra dollars. If your electric bill is only 50 dollars, it will increase to 65, that’s an extra 15.
What percentage that increase is of your current spending will vary according to how much you spend. If you only spend 30 dollars, then you’ll need to cut all of it, or half of it to offset the increases I mentioned above. That’s a 100 percent or 50 percent reduction.
If you spend 1000 dollars, you’ll only need to cut spending by 3 percent to get that 30 dollars, or 1.5 percent to get the 15 dollars.
It all depends on your specific values, you can’t say “For every xx percent your electric bill increases, you need to cut spending by yy percent.”
for the consumption of X unit let u spends Y
for X - Y cost
for increased 30% means 13X/10 - 13Y/10 cost
extra money is 13Y/10 - Y = 3Y/10
note: hope this helps :)
thus (3Y/10)/ (13Y/10) *100 % = 300 / 13 = 23.07%.
What is the value of csc 47° to the nearest thousandth?
Answer: 1.367
Step-by-step explanation:
csc47° = 1.3673 ≈ 1.367
The value of cosec 47° is 1.367.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
cosec 47°
The value of cosec 47°.
= 1.367334
Rounding to the nearest thousandth.
= 1.367
Thus,
The value of cosec 47° is 1.367.
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What is the following quotient?
Answer:
First option is the correct answer.
\( \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}\)
Step-by-step explanation:
\( \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}\)
please help me 11.3 + 8.97
Answer:
20.27
Step-by-step explanation:
Answer:
20.27
Step-by-step explanation:
The dot plot displays data from 14 random samples, each consisting of 30 middle school students. Each dot represents the mean number of sports played per year by students in the sample.
Which number best represents the mean number of sports played by middle school students? Write your answer as a decimal to the nearest tenth.
__ sports
Part B
Find and interpret the variability in the distribution. Round the MAD to the nearest hundredth.
The MAD is about_____ sport(s). The majority of the sample means are within ______ sport(s) of the mean. This means our estimate is likely not far off from the true mean.
The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.
To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.
The median represents the central tendency of the data and is less affected by extreme values.
Arranging the means of the samples in ascending order, we have:
1, 1, 2, 2.5, 3, 3, 3.5, 4
Since there are eight values, the median will be the average of the fourth and fifth values:
(2.5 + 3) / 2 = 2.75
Variability in the Distribution
Summing up the absolute deviations:
1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75
To find the MAD, we divide the sum of the absolute deviations by the total number of data points:
MAD = 6.75 / 8 = 0.84
Therefore, the MAD is about 0.84 sports.
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Negative 1/3 in decimal form
Answer:
-0.3333334
Step-by-step explanation:
common sense
Answer:
-0.33
Step-by-step explanation:
1. You are buying tile for your bathroom floor and
baseboards for your bathroom walls. In the figure,
the entire polygon represents the layout of the
floor. Each unit in the coordinate plane represents
1 foot.
a. Find the area of the floor.
b. Find the perimeter of the floor.
c. The cost of the baseboard is $2 per foot. The
cost of the tile is $2.50 per square foot. Find
the total cost to buy tile and baseboards for
your bathroom.
The solutions to the questions are
The area of the floor is 65 square feetThe perimeter of the floor is 50 feetThe total cost to buy tile and baseboards for your bathroom is $145a. Find the area of the floor.The figure represents the given parameter.
On the figure, we have the following shapes:
Rectangle 1: 7 units by 5 unitsRectangle 2: 3 units by 10 unitsThe area is calculated as
Area = Area of rectangle 1 + Area of rectangle 2
So, we have
Area = 7 * 5 + 3 * 10
Evaluate
Area = 65
Hence, the area of the floor is 65 square feet
b. Find the perimeter of the floor.On the figure, we have the following shapes:
Rectangle 1: 7 units by 5 unitsRectangle 2: 3 units by 10 unitsThe perimeter is calculated as
Perimeter = Perimeter of rectangle 1 + Perimeter of rectangle 2
So, we have
Perimeter = 2 *(7 + 5) + 2 * (3 + 10)
Evaluate
Perimeter = 50
Hence, the perimeter of the floor is 50 feet
c. Find the total cost to buy tile and baseboards for your bathroom.The total cost is calculated as
Total Cost = Cost of baseball * Area of baseball + Cost of tile * Area of tile
So, we have
Total Cost = 2 * 7 * 5 + 2.5 * 3 * 10
Evaluate
Total Cost = 145
Hence, the total cost to buy tile and baseboards for your bathroom is $145
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what is the answer to 8 + k ≤ -3
Answer:
less than or equal to -11
Step-by-step explanation:
subtract 8 to both sides
k< or equal to -11
Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters?
The measurement closest to the area of the circle in meters is 379.94 sq. meters.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.
Given that,
diameter = 22m
radius = 22/2 = 11m
The area of the circle is:
A = πr²
Substituting the value of π = 3.14 and r = 11 we have:
A = (3.14)(11)²
A = 379.94
Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.
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". Twenty-two increased by the square of
a number
The expression "Twenty-two increased by the square of a number" in algebraic notation is 22 + x²
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
Twenty-two increased by the square of a number
Represent the number with x
So the statement can be rewritten as follows:
The square of a number means x²
So, we have the following
Twenty-two increased by x²
Twenty-two increased by 22 +
So, we have the following
22 + x²
Hence, the expression "Twenty-two increased by the square of a number" in algebraic notation is 22 + x²
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(16 - 7) - (2x4) please help ASAP
!!!
Solve for x: −4x − 4 = −4(x + 2)
A. 0
B. −4
C. All real numbers
D. No solution
PLEASE HELP!!!!!
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
The amount of money in account A is decreasing by approximately 8% per year.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)ˣ
The function for account A is given as f(x) = 9,628(0.92)^x.
To determine if the amount of money in account A is increasing or decreasing, we can examine the value of (0.92)^x. As x increases, (0.92)^x becomes smaller and smaller, approaching zero.
This means that the amount of money in account A is decreasing over time.
To find the percentage decrease per year, we can calculate the difference between f(x) and f(x+1) and divide by f(x), then multiply by 100:
[f(x) - f(x+1)] / f(x) * 100 = [9628(0.92)^x - 9628(0.92)^(x+1)] / 9628(0.92)ˣ * 100
= (9628(0.92ˣ)[1 - 0.92] / 9628(0.92)ˣ * 100
= 8%
Therefore, the amount of money in account A is decreasing by approximately 8% per year.
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Use three different ways to write a ratio for each comparison. A sixth grade basketball team has 3 centers, 5 forwards, and 6 guards.
Forwards to Guards
Centers to Total Players
Answer:
Try photo math, it will explain it all to you
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correct
answer. Let X represent the number of questions answered correctly for a student who is randomly guessing each
answer choice.
Have the conditions for a binomial setting been met for this scenario?
O No, the order of the questions is unknown.
O Yes, all four conditions in BINS have been met.
O No, the answers are not independent of one another.
O No, we do not know how many quizzes this teacher will give.
Save and Exit
Next
Submit
Mark this and return
B.) Yes, all four conditions in BINS have been met.
carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Find the total in the retirement account given the following conditions:
Monthly contributions = $225
Interest rate = 4.99%
Years invested = 38
To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.
The formula for the future value of an investment with regular monthly contributions is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value or the total in the retirement account.
P is the monthly contribution amount.
r is the monthly interest rate (annual interest rate divided by 12).
n is the number of monthly contributions (years invested multiplied by 12).
Let's calculate the total:
P = $225
r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)
n = 38 * 12 = 456 (number of monthly contributions)
FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583
Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.
The calculated total may vary depending on the compounding frequency and rounding used.
Use the distributive property to simplify this expression -2x(3x + x-5)
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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HELP!!!! Find the area. Simplify your answer.
552-9s
3t2+t
Answer:
A = (5s^2t - 9st) (3t + 1)
Step-by-step explanation:
(5s^2 - 9s) (3t^2 + t)
= 15s2t^2 + 5s^2t - 27st^2 - 9st
= 5s2t (3t + 1) - 9st (3t + 1)
= ( 5s^2t - 9st) (3t+1)
Draw a model of square root of 12 using perfect squares
Answer:
The answer is "\(\sqrt{12}\) is not a perfect square".
Step-by-step explanation:
12 is not a perfect square because it is the natural number, and no other natural number would square the number 12, that's why it is not a perfect square.
If we calculate the square root of \(\sqrt{12}\). so, it is will give \(2\sqrt{3}\) that is not a perfect square root which can be described as follows:
\(\Rightarrow \sqrt{12}= \sqrt{2\times 2\times 3}\)
\(= \sqrt{2^2\times 3}\\\\= 2\sqrt{3}\\\\\)
\(\bold{\sqrt{12}}\) is not a perfect square root.
Answer:
Here's a picture
Step-by-step explanation:
can someone please answer the highlighted questions? thanks!
Answer:
28 = 14 + x, 51 = 38 + x
Step-by-step explanation:
I got both sums because the last part says "is 28" and "is fifty-one," signaling that they each take up one side of the equation. Sum means add (so a + sign) and more than also means add (in this case). X just stands for the numbers not given.
Answer:
1. n+14=28 (14)
2. 38+n= 51 (13)
Step-by-step explanation:
n+14=28
-14 -14
n=14
38+n=51
-38 -38
n=13
Complementary angles in real life photos
Solve the following system of equations:
x+y+z=4
-3x-4y+4z=12
2x-y-4z=-1
Answer:
1) x=4-y-z
2) x=-12+4y-4z/3
3) x=-1+y+4z/2
Step-by-step explanation:
1) Subtract y+z from both sides.
x+y+z-(y+z)=4-(y+z)
Simplify
x=4-y-z
2) Subtract -4y+4z from both sides.
-4y+4z-(-4y+4z)=12-(-4y+4z)
Simplify
-3x=12+4y-4z
Divide both sides by -3
-3x/-3=12/-3+4y/-3-4z/-3
x=-12+4y-4z/3
3) Subtract -y-4z from both sides.
2x-y-4z-(-y-4z)=-1-(-y-4z)
Simplify
2x=-1+y+4z
Divide both sides by 2
2x/2=-1/2+y/2+4z/2
Simplify
x=-1+y+4z/2
Hope this helps! Pls give brainliest!
FIND THE AREA I WILL MARK BRAINLIEST
Answer:
Hello! answer: 104
Step-by-step explanation:
(base × height)
13 × 8 = 104 therefore the area is 104 hope that helps!
Answer:
104
Step-by-step explanation:
8*13
you are standing 200 feet from a tall building . The angle from your feet to the top of the building is 51°.
the sum of angles in a triangle is 180
missing angle + 90 + 51 = 180
missing angle = 180 - 141
missing angle = 39 degrees.
in the triangle,
\(\frac{x}{200}=\tan 51\)x = 200 tan51
x = 200 * 1.234
x = 246.97 ft apporx 247 ft
'so the length x = 247 ft
that is greater than 200
so the answer is
x > 200 ft