Answer:
$986
I attempted to do the simple math. I feel brain dead right now.
In Exercise #13 above, how many different combinations would be possible if the three numbers do not have to be different (for example, 20-20-20 could be a combination)?
Answer:
116 280
Step-by-step explanation:
number of combination = 20 x 19 x 18 x 17 = 116 280
HOPE THIS HELPED ;3
The number of different combinations are there if the numbers must be all different is 19380.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Given that, a combination lock has 20 numbers on it.
Different three-number combinations
= 20!/3!(20-3)!
= 20×19×18×17!/3!×17!
= 20×19×18×17/(3×2×1)
= 10×19×6×17
= 19380
Therefore, the number of different combinations are there if the numbers must be all different is 19380.
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"Your question is incomplete, probably the complete question/missing part is:"
A combination lock has 20 numbers on it. How many different three-number combinations can be made? How many different combinations are there if the numbers must be all different?
choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: C, F are rt. (angles) ; AB = DE ; BC = EF
HL
LL
HA
LA
Answer:
The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
HL.
Step-by-step explanation:
The Figure is attached below
Given:
AB = DE ; BC = EF
∠C = ∠F = 90°
To Prove:
ΔACB ≅ ΔDFE
Proof:
Hypotenuse Leg Theorem:
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The abbreviation is HL
In ΔACB and ΔDFE
AB ≅ DE ……….{Hypotenuse congruent Given}
BC ≅ EF ……….{Given}
∠C ≅ ∠F = 90° …………..{Measure of each angle is 90° given}
ΔACB ≅ ΔDFE ….{Hypotenuse Leg ( HL ) Theorem}
Answer:
HLStep-by-step explanation:
ODYSSEY
A 5 pairs of jeans and 2 sweatshirts costs $233, while 3 pairs of jeans and 4 sweatshirts costs $193. Find the cost of one sweatshirt.
The cost of one sweatshirt is $19.
Step-by-step explanation:
Let,
Cost of one pair of jeans = x
Cost of one sweatshirt = y
According to given statement;
5x+2y=233 Eqn 1
3x+4y=193 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(5x+2y=233)\\10x+4y=466\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](10x+4y)-(3x+4y)=466-193\\10x+4y-3x-4y=273\\7x=273[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{273}{7}\\x=39[/tex]
Putting x=39 in Eqn 2
[tex]3(39)+4y=193\\117+4y=193\\4y=193-117\\4y=76[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{76}{4}\\y=19[/tex]
The cost of one sweatshirt is $19.
Keywords: linear equation, subtraction
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If g(x) is the inverse of f(x) and S(x) = 4x+12, what is g(x)?
g(x) = 12x + 4
g(x) = 4x12
g(x) = x= 3
8(t) = 1x-3
Answer:
[tex]g(x)=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
we have
[tex]f(x)=4x+12[/tex]
Find the inverse
step 1
Let
y=f(x)
[tex]y=4x+12[/tex]
step 2
Exchange the variables (x for y and y for x)
[tex]x=4y+12[/tex]
step 3
Isolate the variable y
we have
[tex]x=4y+12[/tex]
Subtract 12 both sides
[tex]x-12=4y[/tex]
Divide by 4 both sides
[tex]y=\frac{x-12}{4}[/tex]
simplify
[tex]y=\frac{1}{4}x-3[/tex]
step 4
Let
[tex]f^{-1}(x)=y[/tex]
[tex]f^{-1}(x)=\frac{1}{4}x-3[/tex]
we have that
[tex]g(x)=f^{-1}(x)[/tex]
therefore
[tex]g(x)=\frac{1}{4}x-3[/tex]
Solve the problem.
5) The odds in favor of Carl beating his friend in a round of golf are 7:2. Find the probability that
Carl will beat his friend.
A)
Answer:
0.7
Step-by-step explanation:
Find Explanation attached
Ben saved $66 and spent $30. What percentage of his money did he spend? Round your answer to the nearest whole percent
Answer: 50%
Step-by-step explanation:
Answer: Nope it's 55%
Step-by-step explanation:
A students cost for last semester at her community college was $2800. She spent $504 of that on books. What percent of last semesters college cost was spent on books
Answer: 18%
Step-by-step explanation:
The percentage spent on book = cost of books / total cost x 100
% spent on book = 504/2800 x 100
= 18
Therefore , the percentage spent on book is 18
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
The domain of the function f(x) = (x - 5) / (2x - 3) is all real numbers except for x = 3/2 because this value would cause the denominator of the function to be zero, which is undefined.
Explanation:The domain of a function refers to all possible values that can be inputted into the function, or 'x' values. For a rational function, such as f(x) = (x - 5) / (2x - 3), it is important to note that the function is undefined for values of x that would make the denominator equal zero. Because functions cannot have a denominator of zero, these values should be excluded from the domain.
To find these values, you would set the denominator equal to zero and solve. Thus, 2x - 3 = 0. Solving this, x = 3/2. Therefore, all real numbers except for x=3/2 are in the domain for this rational function.
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Four speed skaters, Marco
Answer:
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Step-by-step explanation:
A group of 21 people need to take an
elevator to the top floor. They will go in
groups of seven. They are deciding who
will go in the first group.
Answer:
The numbers are 18, 22.5, and 13.5
Step-by-step explanation:
You first need to figure out what number you use to multiply to find your answer. I found 4.5
Now, multiply all numbers by 4.5
4 x 4.5 = 18
5 x 4.5 = 22.5
3 x 4.5 = 13.5
Step-by-step explanation:
solving eqations
4c=16
Answer:
c=4
Step-by-step explanation:
Answer:
C=4
Step-by-step explanation:
when solving these equations you have to get the letter by itself and in this case the 4 is being multiplied by the c so you have to do the opposite and divide the 4 from the c and divide 16 by 4 because what you do to one side of the equal sign you have to do to the other side.
Mai biked 7 and 1/4 miles today, and Noah biked 3 5/8 miles. How many times the length of Noah's bike ride was Mai's bike ride?
answer choices
2/3
2
1/2
3/2
Answer:
2 times
Step-by-step explanation:
Mai biked [tex]7\frac{1}{4} = \frac{29}{4}[/tex] miles today and Noah biked [tex]3\frac{5}{8} = \frac{29}{8}[/tex] miles today.
We are asked how many times the length of Noah's bike ride was Mai's bike ride.
Therefore, the length of Mai's bike ride was [tex](\frac{29}{4} \div \frac{29}{8}) = 2[/tex] times the length of Noah's bike ride.
Therefore, we will take option B will be correct. ( Answer )
what is the correct answer to the question
Answer:
4.37%
Step-by-step explanation:
Given: Value of object in 1997 is $5000
Value of object in 2012 is $4500.
Number of years (2012-1997)= 15 years
∵We know that there is growth in value of object over multiple years.
∴Compound annual growth rate (CAGR)= [tex][(\frac{end\ value}{initial\ value} )^{\frac{1}{n} } ] -1[/tex]
Remember, n = number of years
∴ Growth rate= [tex][(\frac{9500}{5000} )^{\frac{1}{15} } ]-1[/tex]
⇒Growth rate= [tex][(1.9)^{\frac{1}{15} } -1][/tex]
⇒Growth rate= [tex](1.9)^{0.0667} -1= 1.0437-1[/tex]
⇒ Growth rate= 0.0437
Now, finding percentage of growth rate
∴ [tex]0.0437\times 100= 4.37\%[/tex]
∴ Annual growth percent over the period of time is 4.37%
Solve the following equation for x.
3x - (2x - 3) = 2x + 9
Answer:
x=-6
Step-by-step explanation:
3x-(2x-3)=2x+9
3x-2x+3=2x+9
x+3=2x+9
3=2x-x+9
3=x+9
x=3-9
x=-6
how do i figure out 9 1/6 - 8 5/6
and 10 3/4 - 6 4/4?
Answer:
1) [tex]9\frac{1}{6}-8\frac{5}{6}=\frac{1}{3}[/tex]
2) [tex]10\frac{3}{4}-6\frac{4}{4}=3\frac{3}{4}[/tex]
Step-by-step explanation:
You can convert he mixed numbers to improper fractions:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained to the numerator.
3. The denominator does not change.
Then:
[tex]9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}[/tex]
Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:
[tex]1)\ \frac{55}{6}-\frac{53}{6}=\frac{55-53}{6}= \frac{2}{6}=\frac{1}{3} \\\\2)\ \frac{43}{4}-\frac{28}{4}=\frac{43-28}{4}= \frac{15}{4}[/tex]
Divide 15 by 4. The quotient will be 3 and the remainder 3.
Then:
[tex]\frac{15}{4}=3\frac{3}{4}[/tex]
There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there are 4 leftover. How many eggs are in the basket?
(is there a way to solve this without having to go through all the options)
There are 59 eggs in the basket
Step-by-step explanation:
There are between 50 & 60 eggs in a basket
When Roza counts by 3's there are 2 leftoverWhen she counts by 5's there are 4 leftoverWe need to find how many eggs in the basket
∵ When Roza counts by 3's there are 2 leftover
∵ When she counts by 5's there are 4 leftover
- That means the number of eggs when divided by 3 give
remainder 2 and when divided by 5 give remainder 4
- To find the number look for the numbers that divisible by 5 and
add 4 to them and then check the remainder when they divided
by 3
∵ Between 50 and 60 there is only one number divisible by 5
is 55 (not including 50 or 60)
∵ 55 + 4 = 59
∴ 59 gives remainder 4 when divided by 5
Let us check them with 3
∵ 59 - 2 = 57
∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)
∴ 59 when divide by 3 gives remainder 2
∴ 59 gives remainder 4 when divided by 5 and remainder 2 when
divided by 3
∴ The number of eggs in the basket is 59
There are 59 eggs in the basket
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come on somebody plz help
Answer:
A=πr^2 and A=πr'^2 by the definition of area
If you awnser this question please include work
Answer:
3/2
Step-by-step explanation:
2+1=3
3*3/2=4.5
it would not make sense if it was 2/3 cuz look what u get.......
3*2/3=2
Answer:
When x increases by 1, y increases by 3/2 = 1.5Step-by-step explanation:
If x and y are proporttional then
[tex]\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax[/tex]
From the table we have x = 2 and y = 3.
Substitute:
[tex]3=2a[/tex] divide both sides by 2
[tex]\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}[/tex]
Therefore we have:
[tex]y=\dfrac{3}{2}x[/tex]
We increase x by 1:
[tex]y_1=\dfrac{3}{2}(x+1)[/tex] use the distributive property
[tex]y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}[/tex]
What is 9 divided by 883
starting in 2000 what is estimated population and annual growth rate of 19,169,000 at 0.6% for 2025 not sure how to do this
Answer:
The estimated population in 2025 will be 22261221.
Step-by-step explanation:
Let us assume that the annual growth rate is compounded annually on the population.
Now, in 2000, the population was 19169000 and the annual growth rate is 0.6%, the the population in the year 2025 will be given by
[tex] 19169000(1 + \frac{0.6}{100} )^{25} = 22261220.7[/tex] ≈ 22261221
Therefore, the estimated population in 2025 will be 22261221. ( Answer )
1. What is the total cost of a $95.00 item with a sales tax of 6%?
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Let me know if you need any clarifications, thanks!
Solve for x.
2х2-4х = 0
Step-by-step explanation:
2x²-4x=0
2x²=4x
[tex] \frac{2x {}^{2} }{x} = 4[/tex]
2x=4
x=2
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges
Answer: One small box of oranges costs $7 and one large box of oranges costs $13.
Step-by-step explanation:
Let be "s" the cost in dollars of one small box of oranges and "l" the cost in dollars of one small box of oranges.
Based on the data given in the exercise, you can set up the following System of equations:
[tex]\left \{ {{3s+14l=203} \atop {11s+11l=220}} \right.[/tex]
Use the Elimination Method to solve it:
- Multiply the first equation by 11 and the second one by -3.
- Add the equations.
- Solve for "l".
Then:
[tex]\left \{ {{33s+154l=2233} \atop {-33s-33l=-660}} \right.\\...............................\\\\121l=1573\\\\l=13[/tex]
- Substitute the value of "l" into any original equation and solve for "s":
[tex]3s+14(13)=203\\\\3s=203-182\\\\s=\frac{21}{3}\\\\s=7[/tex]
Use the figure below.
Which best describes the pair of angles:
24 and 25?
A. vertical
B. adjacent
C. linear pair
D. complementary
Answer: B. Adjacent
Step-by-step explanation: They share a common side and vertex
Help pls multiply 3.96584 by 100
Answer:
396.584
Step-by-step explanation:
just move the decimal right 2 spaces when multiplying by 100
Answer:
396.584
Step-by-step explanation:
An equation is given
2Vx+ 7 = 8
Enter the value of x for this equation.
Answer:
x = 1
----------
82V
Step-by-step explanation:
Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.
Answer:
△JKL ≅ △XYZ by HL congruency for right triangles
Step-by-step explanation:
If only given two sides and an uncontained angle, the triangles may not necessarily be congruent. However, since the given angle is a right angle, they are congruent.
When given that the hypotenuse and any "leg" of the right triangles are equal, the triangles are congruent.
Since one angle is 90°, the other two angles must be acute. This is unlike the ambiguous case when given an uncontained acute angle, where two possible triangles can be made by making another angle obtuse.
Imagine an isosceles triangle cut in half at the altitude, creating two right triangles (JKL and XYZ). They have the same angle measures. Each with a right angle, the angle that had an equal measure in the isosceles, and the unequal angle bisected. For the triangles' sides, the isosceles base was bisected by the altitude, and they have the same altitude.
what is the function, domain and range of {(1,1) (2,2) (3,5) (4,10) (5,15)}?
Step-by-step explanation: To determine whether the relation shown here is a function, it's important to understand that a function is a relation in which each x-term corresponds to exactly one y-term.
Each of the x-terms shown here 1, 2, 3, 4, and 5 appears only once so each x-term corresponds to only one y-term. So yes, this relation is a function.
The domain of a relation is the set of all the x-terms of the relation. So here, the domain will be the set of all the x-terms or {1, 2, 3, 4, 5}.
The range of a relation is the set of all the y-terms of the relation. SO here, the range will be the set of all the y-terms or {1, 2, 5, 10, 15}.
geometry thanks if you help!
Answer:
D
Step-by-step explanation:
For a function to be true, there cannot be the same x used for two different ys. D is the only table that follows this rule.
help pleaseeeeeeeee
Answer:
No, we can't.
Step-by-step explanation:
Let x be the amount of time it takes each machine to make 1 cockpit, and y be the amount of time it takes each machine to make 1 propulsion system.
For machine A: 22 hours to produce 3 cockpits and 5 propulsion system.
For machine B: 44 hours to produce 6 cockpits and 10 propulsion system.
So, this will produce the following system of equations:
3x + 5y = 22 ⇒(1)
6x + 10y = 44 ⇒(2)
We can note that the second equation is two times the first equation.
So, the two equation are actually represent one equation.
OR, by another way the two equation have the same slope and y-intercept
So, the two equation are identical, therefore, we can't solve one equation with two variables.
Also, see the attached figure.
equation (1) with blue color and the second equation with red color.