Answer:
b).94 dozen
Step-by-step explanation:
225*5=1125
1125/12/93.75
93.75 rounded = 94
The area of the circle is 144π m2
What is the diameter of the circle?
Answer:
Step-by-step explanation:
Remember that
Area of Circle = [tex]\pi r^2[/tex]
[tex]\pi = pi \\r = radius[/tex]
They told us that for this circle, the area is [tex]144\pi m^2[/tex]
If you put it back into the formula for area of a circle we get:
Area of Circle = [tex]\pi r^2[/tex]
[tex]144\pi = \pi r^2[/tex]
Divide both sides by [tex]\pi[/tex].
144 = [tex]r^2[/tex]
Now we want to solve for r (r = radius).
You need to square root each side
[tex]\sqrt{144} = \sqrt{r^2}[/tex]
[tex]12 = r[/tex]
So now we know the radius, [tex]r = 12[/tex] metres
Also remember that
Diameter = [tex]2r[/tex]
So,
Diameter = 2 times 12 = 24 metres
The required diameter of the given circle is 24 meters.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Here,
The given area of the circle is 144π m²
And we know that,
Area = πr²
substitute the value of the area in the above expression,
144π = πr²
r² = 144
r = √144
r = 12 meters
Since,
Diameter = 2 × radius
Diameter = 2 × 12 = 24 meter
Thus, the required diameter of the given circle is 24 meters.
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If f(x) = (1/(x-3)) and g(x) = x2 – 3x, then (f + g)(1) =
then (+3)(1) -
A. 1
B. (-5/2)
C. 0
D. (-3/2)
E. (3/2)
what is the simplification for this ? 2y+3=4y+2
Answer:
2y-1
Step-by-step explanation:
Answer: y = 1/2 in decimal form = 0.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*y+3-(4*y+2)=0
olve : -2y+1 = 0
Subtract 1 from both sides of the equation :
-2y = -1
Multiply both sides of the equation by (-1) : 2y = 1
Divide both sides of the equation by 2:
y = 1/2 = 0.500
if a polynomial is divided by x-5, the quotient is 2x^2 +8x-9 and the remainder is 3 what is the original polynomial?
Answer:
[tex]P(x)=2x^3-2x^2-49x+48[/tex]
Step-by-step explanation:
Let the original polynomial be [tex]P(x)[/tex].
We know that when it is divided by [tex](x-5)[/tex], the quotient is [tex]2x^2+8x-9[/tex] and we get a remainder of 3.
Therefore, this means that:
[tex]\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}[/tex]
Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.
So, to find our original polynomial, multiply both sides by [tex](x-5)[/tex]:
[tex](x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})[/tex]
The left side will cancel. Distribute the right:
[tex]P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)[/tex]
Distribute:
[tex]P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)[/tex]
Combine like terms:
[tex]P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)[/tex]
Evaluate:
[tex]P(x)=2x^3-2x^2-49x+48[/tex]
And we're done!
I
. During a volleyball training session, Idalie drank twice as much water as Adamaris, and Jonathan
Arank 100 mL more water than Idalie. Between them they drank 3 liters of water. How much water
did Adamaris drink?
Answer:
Step-by-step explanation:
Let's say I = amount of water Idalie drank,
A = amount of water Adamaris drank
J = amount of water Jonathan drank.
We are told Idalie drank twice as much water as Adamaris. You can write it as:
Idalie = 2 times Adamaris
I = 2A
Then we are told Jonathan drank 100ml more than Idalie. So
Jonathan = 100 + Idalie
J = 100 + I (and we know I = 2A)
J = 100 + 2A
Between them they drank 3 liters (3L = 3000ml) of water.
Idalie + Adalie + Jonathan = 3000
I + A + J = 300
So since we know I = 2A and J = 100 + 2A, we can put it into the equation above:
2A + A + 100 + 2A = 3000
Gather the like terms and you get:
5A + 100 = 3000
Subtract 100 from both sides.
5A = 3000 - 100 = 2900
To find A, divide both sides by 5
A = 2900/5 = 580
This means Adamaris drank 580ml of water
In the diagram shown below PS is perpendicular to RT and the two lines intercept at W. Ray WQ is drawn. Which of the following statements about angle pairs in incorrect?
Answer:
D. angle SWT and angle QWT are complementary
Step-by-step explanation:
The angles formed at W when the two lines, PS and RT, which are perpendicular to each other intercept at W are right angles.
Thus, let's analyse each given statements to see which is true or not true about the angle pairs formed:
Statement 1: "angle PWQ and angle QWT are complementary".
m<PWT = 90°.
m<PWQ + m<QWT = m<PWT (angle addition postulate)
m<PWQ + m<QWT = 90° (definition of complementary angles)
Therefore, statement 1 is CORRECT.
Statement 2: "angle PWR and angle TWP are supplementary".
m<PWR = 90°
m<TWP = 90°
m<PWR + m<TWP = 180° (definition of supplementary angles)
Therefore, statement 2 is CORRECT.
Statement 3: "angle RWQ and angle TWQ are supplementary".
<RWQ and <TWQ are angles on a straight line and are a linear pair.
m<RWQ + m<TWQ = 180° (definition of supplementary angles)
Therefore, statement 3 is CORRECT.
Statement 4: "angle SWT and angle QWT are complementary".
m<SWT = 90°
Therefore, m<SWT + m<QWT ≠ 90°
The sum of both angles does not give 90°. Therefore, statement 4 is INCORRECT.
Find AB. Please please hurry
Answer:
i pick my answer as 3
Step-by-step explanation:
7-4=3
Answer:
11
Step-by-step explanation:
A is -7 and b is -4 if you add them it would be positive 11 because a negative plus a negative is a positive. Here's this to keep in mind:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
what was the cost for 1 comic book
9514 1404 393
Answer:
$3.50
Step-by-step explanation:
If c represents the cost of one comic book, the transaction can be written as the equation ...
6c = $21
Dividing by 6, we get ...
c = $21/6 = $3.50
The cost for 1 comic book was $3.50.
_____
You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.
Answer:
3.50
Step-by-step explanation:
Name 21 and 22 another way.
Answer:
B
Step-by-step explanation:
how do you find the quotient of positive and negative decimals?
Answer:
When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.
Step-by-step explanation:
set of whole numbers from 1 to 15 set a all even numbers in the set
Answer: 2,4,6,8,9,10,12,14.
Step-by-step explanation:might wanna double check that just incase
The Set of whole numbers from 1 to 15 set a all even numbers are: x=2or x=4 or x=6 or x=8 or x=10 or x=12 or x=14
Even numbers are digits that can be divided by 2
Hence th,e whole numbers from 1 to 15 set a all even numbers in the set are :
2, 4, 6, 8, 10, 12, 14
x=2 or x=4 or x=6 or x=8 or x=10 or x=12 or x=14
Inconclusion The Set of whole numbers from 1 to 15 set a all even numbers in the set are: x=2 or x=4 or x=6 or x=8 or x=10 or x=12 or x=14=14
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Hehe sooo I kinda need help bakugo won't help me..
Answer:
-8/3 or -2 2/3
Step-by-step explanation:
You would change 4 to 4/1 and then set up the equation
4/1 x -2/3
4x-2=-8
1x3=3
you would then get -8/3 which is then turned into -2 2/3
(sorry i love multiplying and dividing fractions lol)
Answer:
SHI.TTY HAIR YOU DONT NEED HELP YOUR SMARTER THAN DENKIII
Step-by-step explanation:
n²-3n+10=0
n²-3n+10=0
No real solutions.
there is none
Answer:
Step-by-step explanation:
PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST HELP
Answer:
1/4 × 1/21/8Step-by-step explanation:
1/4 ÷ 2 = 1/4 × 1/21/4 × 1/2 = 1/8I hope this helps!
AACB = ADCE
ZB = 61°, ZC = 57°, and ZD = 2x
D
E
A
с
X = [?]
B
Answer:
x = 31
Step-by-step explanation:
Given that the triangles are congruent, then corresponding angles are congruent, then
∠ D = ∠ A
The sum of the 3 angles in a triangle = 180° , thus
∠ A = 180° - (61 + 57)° = 180° - 118° = 62°
Thus
2x = 62 ( divide both sides by 2 )
x = 31
what do these signs mean
² ³ √ ∛ · ≈ ≠ , ≡ ≅ ⇒ ⇔ ∈ ∉ ∧ ∨ ∞ α β Δ π Ф ω ↑ ↓ ∵ ∴ ↔ → ← ⇵ ⇅ ⇄ ⇆ ∫ ∑ ⊂ ⊃ ⊆ ⊇ ⊄ ⊅ ∀ ∝ ∦ ║ ⊕ ¬ ∅ ∩ ∪ ⊥ ∡ ∠ ° ∞ ㏒ ㏑
if you can answer this i will name you the brainiest
:-) :-( ;-) :-P (^o^) ^o^ ^_^ :-! 8-) :-{ :-[ (-:
or
that is not an exercise. but still thanks for the points.
Please send the answer. Anyone.
Answer:
god will help u
Step-by-step explanation:
help please i don’t understand and this is do today :/!!
Answer:
You are right . They are not the same
apparently this was supposed to be easy but idk-
Answer:
B
Step-by-step explanation:
Bbbbbbbbbbbbbbbbbbb
Show an example of a multi-step equation with an answer of 0.
Step-by-step explanation:
50-10 x 2-40-30 x 6-60=0
You have found a jackpot, say what ever you want
Answer:
haha
Step-by-step explanation:
doing this for points
Answer:
jackpot
Step-by-step explanation:
What is the y-intercept of y = 1/7x - 10?
10
7
1/7
-10
Answer:
The slope is "9". See, you have a line of y = 7 and any time you have an equation where y equals a number, you are going to have a horizontal line. In every horizontal line, the slope is 0.
Step-by-step explanation:
Thx guys (i will vote brainliest)
have an awesome day
djkal;fjkdla;jkdfl;ghkjhkjlhklkjlhkjl
Answer:
THANKS FOR THE POINTS!!!
Step-by-step explanation:
Cars are made in a factory for 24 hours every day.
In the factory a car is made every 209 seconds.
Work out an estimate for the number of cars made in the factory in one year.
Answer:
6,591,024,000
Step-by-step explanation:
Minutes in 24 hours=1,440
number of seconds in 24 hours=60*1440
=86,400..
number of cars made in each second=209
number of cars made in 86,400 seconds= 18,057,600
24 hours =one day
1 year =365 days
cars made in one year =365*18,057,600
=6,591,024,000
therefore, the number of cars made in one year =
6,591,024,000
The number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done W in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
In a factory, cars are made, where Cars are made for 24 hours every day. As, there is total 60 seconds in one minute and 60 minutes in one hour. Thus, the number of second in 24 hours is,
[tex]24\times60\times60=86400[/tex]
In the factory, a car is made every 209 seconds. Thus, the number of cars made in 86400 seconds (24 hours),
[tex]\dfrac{86400}{209}=431.4[/tex]
There is total 365 days (24 hours) in one year. Thus, the number of cars made in the factory in one year is,
[tex]431.4\times365=150891[/tex]
Thus, the number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.
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will give brainliest
Answer:
Pain Pain Pain Pain Pain now where is my brainliest you promised me
Step-by-step explanation:
What is the value of k?
M
115°
Y
Z
(4k+5)
(6k + 10)
Answer:
please add the image coz it's not clear
An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles, using this property we get, the value of k is: k = 10.
Here, we know that, an exterior angle is equal to the sum of the two opposite inside angles.
The picture shows an exterior angle of 115 degrees.
It's two opposite inside angles are the two equations.
This means:
(4k +5) + (6k+10) = 115
Combine like terms:
10k + 15 = 115
Subtract 15 from both sides:
10k = 100
Divide both sides by 10:
k = 100/10
k = 10
Hence, The value of k is: k = 10.
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complete question:
attached
You need a loan of $110 comma 000 to buy a home. Calculate your monthly payments and total closing costs for each choice below. Briefly discuss how you would decide between the two choices. Choice 1: 15-year fixed rate at 6% with closing costs of $1200 and no points. Choice 2: 15-year fixed rate at 5.5% with closing costs of $1200 and 4 points.
What is the monthly payment for choice 1? $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answer:
Monthly payment for choice 1 is $6,600
Step-by-step explanation:
We will use following formula in order to calculate the monthly payment of choice 1
Value of Loan = Monthly payment x ( 1 - ( 1 + Interest rate )^-numbers of payments / interest rate
Where
Value of Loan = $110,000
Interest rate = 6%
Numbers of Payment = 15 years x 12 payments / year = 180 payments
Placing values in the formula
$110,000 = Monthly payment x ( 1 - ( 1 + 6% )^-180 ) / 6%
$110,000 = Monthly payment x 16.6662
Monthly Payment = $110,000 / 16.6662
Monthly Payment = $6,600.18
Monthly Payment = $6,600 (Rounded to whole number)
Erick ran 3 miles in 20 minutes. What was Erick’s average speed?
She charges an initial fee of $10 for each
rental and an hourly rate of $4. Which of
the equations below shows the amount
y that Rashida charges for a bike rental
that lasts x hours?
A. y=10+4x
B. y=10+4x
C. y=4+10x
D.y=4+10x
Answer:
A
Step-by-step explanation:
Because the 10 is bigger then the 4 so when you do the math (y) will equal the answer of A which its 14
Answer:
The answer is y=10+4x
Step-by-step explanation:
so because x is represented by hours you dont know how many hours someone rents the bike so x and ten dollars is a set amount so it would stand alone.
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