Answer:
5.3
Step-by-step explanation:
Answer:
The answer is 5.3
Step-by-step explanation:
5.3x3-2= 13.9 but when you round its 14
Three research departments have 8,6,7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done
Answer:
70,560 ways
Step-by-step explanation:
This problem is an arrangement problem, as the order of the two people chose in each department matters.
So, for each department, we have an arrangement:
First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56
Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30
Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42
The total number of ways is the product of each number of arranges, so:
Number of ways = 56 * 30 * 42 = 70,560
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 feet. What are the areas of the room and rug?
Answer:
1. Area of rectangular rug is [tex]110 ft^{2}[/tex]
2. Area of triangular room is [tex]330ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as
[tex]Area=Length * Width[/tex]
substituting our given data we have
[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]
step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as
[tex]Area= \frac{1}{2} *base* height\\[/tex]
substituting our given data we have
[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute?
The solution is 44 copies
The number of copies the copy machine makes in one minute is 44 copies
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of copies the copy machine makes = 231 copies
Time required by the to make 231 copies = 5 minutes 15 seconds
5 minutes = 5 x 60 seconds
5 minutes = 300 seconds
5 minutes 15 seconds = 300 + 15 seconds
5 minutes 15 seconds = 315 seconds
So , Time required by the to make 231 copies = 315 seconds
Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )
Substituting the values in the equation , we get
Number of copies in one minute A = 60 x ( 231 / 315 )
Number of copies in one minute A = 60 x 0.733
Number of copies in one minute A = 44 copies
Therefore , the value of A is 44 copies
Hence , the number of copies is 44 copies
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, Ohio in 1990, the number of residents has decreased by 5% every 5 years. In 1990, there were 182,000 residents in Dayton, Ohio. Estimate the population in 2020 to the nearest whole number.
Answer:
133,787 residents
Step-by-step explanation:
First thing we need to do here is calculate the number of 5 years between 2020 and 1990
That would be 2020-1990 = 30/5 = 6
Now to estimate the present population, we will be needing an exponential equation
P = I(1-r)^n
where P is the present population at 2020
I is the population at 1990 which is 182,000
r is the percentage decrease every 5 years which is 5% or simply 5/100 = 0.05
n is the number of 5 years between 1990 and 2020 which is 6
Plugging all these values we have;
P = 182000(1-0.05)^6
P = 182000(0.95)^6
P = 133,786.724
To the nearest whole number, P = 133,787 residents
can u tell what is 4/5 minus 3/10
Answer:
4/5 - 3/10 is 0.5.
Step-by-step explanation:
You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer
Answer: 1/2
Explanation: To subtract unlike fractions such as 4/5 - 3/10, first find a common denominator.
The common denominator of 5 and 10 is the
least common multiple of 5 and 10 which is 10.
To get a 10 in the denominator of 4/5, we multiply both the numerator and the denominator of 4/5 by 2 to get the equivalent fraction 8/10.
Notice that 3/10 already has a 10 in the
denominator so it stays the same.
So we have 8/10 - 3/10 which is 5/10.
5/10 can be simplified to 1/2.
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
Which size is the best buy?
Lemonade
Size. Price
12 ounces. $.89
18 ounces. $1.69
24 ounces. $2.09
pls help me
Answer:
A) 12 ounces for $0.89
Explanation:
$0.89 ÷ 12 = $0.07
$1.69 ÷ 18 = $0.09
$2.09 ÷ 24 = 0.087
Now we know the different prices for each ounce, as you can see the 12 ounces is definitely the best buy.
I hope this helps!
Body Mass Index (BMI) is given by the formula BMI=705W/H2 , where W is the weight of a person in pounds, and H is their height, measured in inches. If a person is 6 feet 3 inches tall, and weighs 209 pounds, what is their BMI? Round your answer to the nearest tenth.
Answer:
BMI = 26.1
Step-by-step explanation:
The body mass index is given by the below formula as :
[tex]BMI=\dfrac{705\times W}{H^2}[/tex]
Here,
W is the weight of a person in pounds and H is height measured in inches.
If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.
So, plugging all values we get ,
[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]
So, the body mass index is 26.1.
A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?
Answer:
x^2 + (y + 4.3)^2 = 131
Step-by-step explanation:
The basic equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here the center is (0, -4.3) and the radius is √131. Substituting as indicated, we get:
(x - 0)^2 + (y + 4.3)^2 = 131, or
x^2 + (y + 4.3)^2 = 131
If you want to find the energy quantum of light, you multiply the frequency of the radiation (v) by "h". What is "h"?
Answer:
H is E
Step-by-step explanation:
In the formula of the energy of photons "h" signifies Planck's constant.
What is Planck's constant?The Planck constant, often known as Planck's constant, is a crucial physical constant in quantum physics. The mass-energy equivalency establishes the relationship between mass and frequency, and the constant establishes the relationship between a photon's energy and frequency.
In the equation energy E = h X v. The "h" there signifies Planck's constant
Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.
Therefore, in the formula of the energy of photons "h" signifies Planck's constant.
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J/-2 + 7 = -12 Please help guys!
Answer:
J=17
Step-by-step explanation:
J/-2 + 7 = -12
multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24
transfer the 7 to the other side to get J = 24 - 7
J = 17
hopefully this helps.
What does angle B equal?
NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.
Delete my answer due to my stupidity
if the sides of a triangle and area is given. How to find perimeter
Answer:
add it up to see if it's 180
Answer:
Well since you have the sides you would add up all of the sides to find the perimeter.
Step-by-step explanation:
Simplify
(3^5)2
3-^2
Answer:
2(3^5) = 6^5
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
I inputted the equation into a calculator
Got 531441
And tried each option to see if the answers matched
6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y =
X-5
DO NE
Answer:
y = 3x -5
Step-by-step explanation:
6x - 2y = 10
-6x. -6x
Inverse Operations
-2y = -6x + 10
÷-2. ÷-2. ÷-2
y = 3x - 5
Answer:
6x – 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y = (3) x – 5
Which choice shows the result of substituting
3x – 5 into the second equation for y?
2(3x – 5) + 3x = 51
----------2x + 3(3x – 5) = 51 its B
2(3x – 5) + 3y = 51
Solving the equation 2x + 3(3x – 5) = 51
for x gives x =
---6.
The complete solution to the system is:
----(6, 13)
Step-by-step explanation:
Anil receives a 7% commission on computer sales. Last month his computer sales totaled $12,500. How much did Anil earn last month?
Answer:
$875
Step-by-step explanation:
Total money * commission = money earned
12500 * .07 =
$875
an isosceles trapezoid is a trapezoid with congruent legs. true or false?
Answer:
true
Step-by-step explanation:
If a trapezoid has congruent legs, it is an isosceles trapezoid.
Hope this helps.
It is true, that an isosceles trapezoid is a trapezoid with congruent legs.
A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.
What is geometry?It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.
Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.
Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.
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Write the fact family that
can be made from these
digits.
5 6 11
Answer:
5+6=11
11-6=5
11-5=6
Step-by-step explanation:
Solve if u r genius
11*11=4
22*22=16
33*33=?
Answer:
36
Step-by-step explanation:
bc 11*11=2*2=4
22*22=4*4=16
33*33=6*6=36
u add 1 and 1 together
then u add 2 and 2 together and then u add the 3 and 3 together to get 2, 4 and 6
Answer:
The answer is 36.
Step-by-step explanation:
This is a brain-solving question :
(1+1)×(1+1)
= 2×2
= 4
(2+2) × (2+2)
= 4×4
= 16
(3+3) × (3+3)
= 6×6
= 36
i need help understanding this
Answer:
x = 6±sqrt( 31)
Step-by-step explanation:
x^2 -12x +5 =0
Subtract 5 from each side
x^2 -12x +5-5=0-5
x^2 -12x = -5
Take the coefficient of x
-12
Divide by 2
-12/2 =-6
Square it
(-6 )^2 = 36
Add this to each side
x^2 -12x +36= -5+36
(x-6)^2 = 31
Take the square root of each side
sqrt((x-6)^2) =±sqrt( 31)
x-6 =±sqrt( 31)
Add 6 to each side
x-6+6 =6±sqrt( 31)
x = 6±sqrt( 31)
A raffle Prize of 14x2/15 dollars is to be divided among 7x people. Write an expression for the amount of money that each person will recieve.
Answer:
2x/15 dollars.
Step-by-step explanation:
Each person receives
(14 *x^2 / 15 ) / 7x
= 2 x^2 / 15x
= 2x/15 dollars.
Siobhan has two babysitting job offers for the same weekend.The snachez family would like her to babysit from Friday at 6:00 pm through Saturday at 9:30 am.They will pay her $150.The martins would like her to babysit friday night from 5:00 pm to 11:00 pm and will pay her $15 per hour.Wich family is offering to pay her more per hour?Wich is offering to pay her more overall?
Answer:
The Martin family pays $5.33 more per hour
The Sanchez family pays $60 more in total
Step-by-step explanation:
The Sanchez family want her to babysit for 15.5 hours for a total of $150.
To find out the hourly rate you do $150/15.5 which is $9.67 per hour.
The Martin family wants her to babysit for a total of 6 hours for $15 an hour.
To find out the total you do $15 x 6 which is $90.
A pilot is flying a plane 20000 ft above the ground.The pilot begins a 2 descent to an airport runway.How far is the airplane from the start of the runway(in ground distance)
Answer:
381623 ft
Step-by-step explanation:
Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.
[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]
The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.
Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4
Answer:
7^8
Step-by-step explanation:
(7^2)^4
We know a^b^c = a^(b*c)
(7^2)^4 = 7^(2*4)
= 7^(8)
27 = z/0.3 as a salution
pleeeeaaaaasssseee i need help
Answer:
z = 81/10 = 8.100
Step-by-step explanation:
Kati has of a bag of frozen fruit. She used of the fruit to make smoothies. Which equation represents the amount of fruit Kati used to make smoothies?
Answer:
The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
Step-by-step explanation:
Let
Total number of frozen fruits = F
Let the amount of frozen fruits used for making smoothies = S
The remaining frozen fruits = R
Then
F - S = R
To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.
-S = R - F
S = F - R
That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
Oliver has lots of bags. There are
three types of bags that he collects.
travel bags, hand bags and school bags.
If the probability of getting a travel
bag is 5/10 and the probability of getting hand
bag is 4/10: what is the relative
frequency probability of getting a school bag?
Answer:
1/10
Step-by-step explanation:
if you add all of it it becomes 10/10
A population of rabbits doubles every 60 days according to the formula P=10(2)^t/60, where P is the population of rabbis on day t. What is the value of t when the population is 320
Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
GO TO MY LATEST QUESTION IT IS EASY BUT IDK THE ANSWERRRRR
here it is: Which of the following numbers can be expressed as a decimal that terminates? seven over four, five over nine, three over eight, two over three
Answer:7/4= 1.75 and 3/8=0.375
Step-by-step explanation:
5/9= 0.555555.......
3/8=0.375
2/3=0.666666......
How do you terminate stuff?