Answer:
$10,068
Step-by-step explanation:
Step-by-step explanation:
6000
100+11.3÷100=1.113
6000x1.113(^6)
=
11405.71
or 11405.70
I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle works.
Answer:
An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.
Step-by-step explanation:
13x -7 =12 (x - 1) + x + 5
is this no solution, infinite, or no solution
Answer:
3
Step-by-step explanation:
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee. In how many ways can a dance committee of 14 students be chosen? In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors.
Answer:
[tex]Number\ of\ Committee = 6914880\ ways[/tex]
Step-by-step explanation:
Given
Total:
[tex]Freshmen= 7\\ Sophomores = 8\\ Juniors = 8\\ Seniors = 8[/tex]
Selection
[tex]Freshmen= 2\\ Sophomores = 3\\ Juniors = 4\\ Seniors = 5[/tex]
Required
Determine the number of selection
To do this, we make use of combination formula:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
For Freshmen, we have:
[tex]n = 7; r = 2[/tex]
[tex]^7C_2 = \frac{7!}{(7-2)!2!}[/tex]
[tex]^7C_2 = \frac{7!}{5!2!}[/tex]
[tex]^7C_2 = \frac{7 * 6 * 5!}{5! * 2 * 1}[/tex]
[tex]^7C_2 = \frac{7 * 6}{2}[/tex]
[tex]^7C_2 = \frac{42}{2}[/tex]
[tex]^7C_2 = 21[/tex]
For Sophomores, we have:
[tex]n =9;r=3[/tex]
[tex]^9C_3 = \frac{9!}{(9-3)!3!}[/tex]
[tex]^9C_3 = \frac{9!}{6!3!}[/tex]
[tex]^9C_3 = \frac{9 * 8 * 7 * 6!}{6! * 3 * 2 * 1}[/tex]
[tex]^9C_3 = \frac{9 * 8 * 7 }{6}[/tex]
[tex]^9C_3 = \frac{504}{6}[/tex]
[tex]^9C_3 = 84[/tex]
For Juniors, we have:
[tex]n = 8; r = 4[/tex]
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8 * 7 *6 * 5 * 4!}{4!*4 * 3 * 2 * 1}[/tex]
[tex]^8C_4 = \frac{8 * 7 *6 * 5}{4 * 3 * 2 * 1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
For Seniors
[tex]n = 8; r = 5[/tex]
[tex]^8C_5 = \frac{8!}{(8-5)!5!}[/tex]
[tex]^8C_5 = \frac{8!}{3!5!}[/tex]
[tex]^8C_5 = \frac{8 * 7 *6 * 5!}{5! * 3 * 2 * 1}[/tex]
[tex]^8C_5 = \frac{8 * 7 *6}{3 * 2 * 1}[/tex]
[tex]^8C_5 = \frac{8 * 7}{1}[/tex]
[tex]^8C_5 = 56[/tex]
[tex]Number\ of\ Committee = Freshmen\ and\ Sophomores\ and\ Juniors\ and\ Seniors[/tex]
and implies *, so we have:
[tex]Number\ of\ Committee = 21 * 84 * 70 * 56[/tex]
[tex]Number\ of\ Committee = 6914880\ ways[/tex]
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
to decrease an amount 37% multiply by
Answer:
if x is the amount =100%
then to decrease the amount by 37% =(100-37)% = 63% of x =x*63/100 =x*0.63
multiply the amount by 0.63
Step-by-step explanation:
Answer:
0.63
Step-by-step explanation:
if x is the amount=100% then to decrease by 37% multiply by 0.63
The graph shows how a store sells peppers by weight at a constant price per pound
Which of these statements is true?
Pepers)
Peppers cost $9 per pound,
The unitenst for peppers is $4,50 per pound,
You could get 2 pounds of peppers for $12
Peppers cost 84 per pound,
Answer:?
Step-by-step explanation: did u get the answer
Answer:
Step-by-step Peppers cost $4 per pound
explanation:
Kim Kardashian has 4 children. North West is 5 years older than Chicago
West. Psalm West is a year younger than Chicago West. Saint is twice as
old as Chicago. If the sum of their ages is 14, how old is North West? Write an equation
Answer:
Psalm West is 1
Chicago West is 2
Saint is 4
North West is 7
Kim Kardashian has 4 children. North West is 5 years older than Chicago West. Psalm West is a year younger than Chicago West. Saint is twice as old as Chicago. If the sum of their ages is 14, how old is North West? Write an equation
Answer: North West would be 7 years old!
Explanation: How old is North West? This is the equation:
Their ages are...
Psalm West is 1 year oldChicago West is 2 years oldSaint is 4 years old1 + 2 + 4 = x
1 + 2 + 4 = 7
If the sum of their ages is 14 so...
14 (sum of ages) - 7 (total numbers of combined 3 West siblings)
14 - 7 = 7
Help me solve this problem please
Answer:
y=-5x thats it so ype it in ir whatevet
Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents’ house to school. How much will her education cost her in total?
Answer:
$13,400
Step-by-step explanation:
Given the following data;
Tuition and book per year = $5,500
Transportation per month = $100
In 2 years;
Total tuition and book = $5,500 * 2 = $11,000
Total tuition and book cost = $11,000
Transportation;
There are 12 months in a year, in 2 years = 12 * 2 = 24 months.
Thus, total on transportation = $100 * 24 = $2,400
Total transportation cost = $2,400
[tex] Overall \; cost = Total \; tuition \; and \; book \; cost + Total \; transportation \; cost[/tex]
Substituting into the above equation, we have;
Overall cost = $11,000 + $2,400
Overall cost = $13,400.
Hence, Lakita's education will cost her $13,400 in total.
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
convert 1.3333....... into P/Q form
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating value placed after the decimal point.
let
x = 1.3333... → (1) ( multiply both sides by 10 )
10x = 13.3333... → (2)
Subtract (1) from (2), eliminating the repeating decimal
9x = 12 ( divide both sides by 9 )
x = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex]
Solve for x. 4x-5=9+20
Answer:
x = 8.5
Step-by-step explanation:
4x-5=9+20 (evaluate right side)
4x - 5 = 29 (add 5 to both sides)
4x = 29 + 5
4x = 34 (divide both sides by 4)
x = 34/4
x = 8.5
Answer:
Today : Saturday, 07 November 2020
Hour: 14.28 WIB (Indonesia)
_______________________________
4x - 5 = 9 + 20
= 4x - 5 = 29
= 4x = 29 + 5
= 4x = 34
= x = 34/4
= x = 17/2
= x = 8 1/2
through: (-1,2), slope=3
Answer:
y=3x+5
Point-slope form:y−2=3⋅(x+1)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
y−y1=m(x−x1)
Shen runs each lap in 5 minutes. He will run at most 45 minutes today. What are the possible numbers of laps he will run today? Use n for the number of laps he will run today.
Answer: The possible numbers of laps he will run today = 9
Step-by-step explanation:
Let [tex]n[/tex] = number of laps he will run today.
Given: Time taken for each lap = 5 minutes
Time taken for [tex]n[/tex] laps =[tex]5n[/tex] minutes
If he runs at most 45 minutes, then
[tex]5n\leq45[/tex]
Divide both sides by 5 , we get
[tex]n\leq9[/tex]
Hence, the possible numbers of laps he will run today = 9
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'? They are equidistant from origin. They are midpoints of segment ON and segment O prime N prime. They are equidistant from point O. They are midpoints of segment LN and segment L prime N prime.
Answer:
A. They are equidistant from origin.
The correct statement for the relationship between points N and N' is,
⇒ They are equidistant from origin.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Now,
Since, Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Hence, We know that;
After rotation of 90° clockwise around the origin the shape are equidistance from the origin.
Thus, The relationship between points N and N' is,
⇒ They are equidistant from origin.
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A jar contains n nickels and d dimes. There is a total of 200 coins in the jar. The value of the coins is $14.00. How many nickels and how many dimes are in the jar?
Answer: There are 80 dimes and 120 nickels.
Step-by-step explanation: Now check to make sure it's right. How much is 120 nickels worth? How much is 80 dimes?
PLEASE HURRY!
Find the slope of the line described by:
x - 3y = -9
Answer:
There is no solution, as far as I can see
Step-by-step explanation:
The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?
Given:
Perimeter of a football field = 920 feet.
The width is 60 feet more than one-third of the length.
To find:
The dimensions of a football field.
Solution:
Let the length of the field be x.
Then, width = [tex]\dfrac{1}{3}x+60[/tex]
We know that,
[tex]Perimeter = 2( length + width)[/tex]
[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]
[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]
[tex]920 =\dfrac{8}{3}x+120[/tex]
Subtract both sides by 120.
[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]
[tex]800 =\dfrac{8}{3}x[/tex]
Multiply both sides by 3.
[tex]2400 =8x[/tex]
Divide both sides by 8.
[tex]300 =x[/tex]
Now,
[tex]Length = 300\text{ feet}[/tex]
[tex]Width=\dfrac{1}{3}(300)+60[/tex]
[tex]Width=100+60[/tex]
[tex]Width=160\text{ feet}[/tex]
Therefore, the length and width of the football field are 300 feet and 160 feet respectively.
In a certain chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 468 of copper. How many grams of zinc does it contain?
Answer:
The answer is 144
Step-by-step explanation:
Stan has $95. He wants to buy as many movies as he can. All movies are originally
$12.00 and are on sale for 10% off. Tax is 5%
Answer:
Step-by-step explanation:
Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8
The final amount spent is 5%, that means we can multiply the end amount spend by 1.05
The maximum Stan can spend is $95
[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]
Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies
Solve the equation.
y + 6 = -3y + 26
Oy= -8
O y = -5
O y = 5
Oy = 8
The solution to the equation is y = 5.
Therefore, the correct answer is "O y = 5."
Option C.
Here,
Let's solve the equation step by step to find the value of y:
Combine the y terms on the left side of the equation:
y + 3y + 6 = 26
Combine the y terms on the left side of the equation:
4y + 6 = 26
Move the constant term to the other side of the equation:
4y = 26 - 6
Simplify the right side:
4y = 20
Now, solve for y by dividing both sides of the equation by 4:
y = 20 / 4
y = 5
So, the solution to the equation is y = 5.
Therefore, the correct answer is "O y = 5."
Option C.
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Malika, Keshia, and Aliyah Smith are each 2 years apart in age. The sum of their ages is greater than the age of their father, who is 65. How old can the oldest sister can be?
Answer:
24?
Step-by-step explanation:
If you add 20, 22, and 24, you get 66. I dont know if this helped.
HELP PLZZ
I WILL CROWN BRAINLIEST
Just one simple question
Answer:
i) OC=a+b
ii) BA=a-b
iii)CA=-b
Step-by-step explanation:
i) because it is a parallelogram AC=OB and therefore AC=b
to find OC you do OA+AC which is a+b
OC=a+b
ii) to find BA you do BO+OA
BO=-b as it is the opposite direction
OA=a
so therefore BA=a-b
iii)CA is the opposite of AC which was b so CA=-b
Geometry test please help.
3). Find x
4). find m
5). Find m < y
6.) Find m
Answer:
x = 30
m<Y = 60
m<Z = 60
m<X = 60
Step-by-step explanation:
All of this should add up to 180 so...
2x + 2x + 3x - 30 = 180 (collect like terms)
7x - 30 = 180 (add 30 on both sides)
7x = 210 (divide by 7 on both sides)
x = 30
PLUG IN
2(30) = 60
3(30) - 30
90 - 30 = 60
m<Y = 60
m<Z = 60
m<X = 60
equilateral triangle
Hope this helps ya! Keep smiling!
What would happen to the product in the following problem:
25×11/11
A.The product will increase
B.The product will decrease
C.the product will stay the same
Angle B and angle C are supplementary If the measure of angle B is 14 times the measure of angle C, what is the difference between
the angles measures
Pls help asap
Answer:
The difference between the angle measure is 152 degrees
Step-by-step explanation:
Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
David measures how many inches his tomato plant grows every week. What is the independent variable?
Answer:
It is tomato plant
Step-by-step explanation:
- The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. - - - The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Please help me with this question.
Answer:
The measurement of largest angle is 83°
Step-by-step explanation:
Given angles are:
(2x+1)° , (x+15)° and x°
The sum of internal angles of a triangle is 180°
We will use this sum to find the value of x first
[tex](2x+1)+(x+15)+x = 180\\2x+1+x+15+x = 180\\4x+16 = 180\\4x = 180-16\\4x = 164\\\frac{4x}{4} = \frac{164}{4}\\x = 41[/tex]
Now the measurement of angles are:
x = 41
[tex]2x+1 = 2(41)+1 = 82+1 =83\\x+15 = 41+15 = 56[/tex]
Hence,
The measurement of largest angle is 83°
What is 1.3 as a fraction
Answer:
1.3 is pronounced 1 and 3 tenths so the fraction would be 1 3/10
Step-by-step explanation:
Hope this helps
Please help will give brainliest.
Answer:
x=(4,0)
y=(0,-6)
Step-by-step explanation:
