Answer:
When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:
[tex]C(8, 3) = \frac{8!}{(8 - 3)!*3!} = \frac{8!}{5!*3!} = \frac{8*7*6}{3*2} = 56[/tex]
So there are 56 different samples.
Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.
[tex]C(8, 5) = \frac{8!}{(8 - 5)!*5!} = \frac{8!}{3!*5!} = 56[/tex]
Again, we have 56 different samples.
Solve for x.
(3x - 1)
71
Equation=
x=
Answer:
3x - 1 = 71
3x = 72
x = 24
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
3x + -1 = 71
Reorder the terms:
-1 + 3x = 71
Solving
-1 + 3x = 71
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 3x = 71 + 1
Combine like terms: -1 + 1 = 0
0 + 3x = 71 + 1
3x = 71 + 1
Combine like terms: 71 + 1 = 72
3x = 72
Divide each side by '3'.
x = 24
Simplifying
x = 24
16 skiers on 4 boats
72 millimeters to 3 meters
The ratio is 24:1000 or 0.024.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
72 millimeters to 3 meters
Now, Convert 3 meter to millimeter
3 meter= 3 x 1000
= 3000 mm
Then, ratio is
= 72 / 3000
= 24/1000
= 0.024
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Which of the following is a true statement?
A. All squares are rectangles.
B. All rectangles are squares.
C. All rhombuses are squares.
An angle measures 172° more than the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation:
x+ 172= 180-x
x+ 172= 180-x2x= 8
x+ 172= 180-x2x= 8x= 4°
180-4= 176
the angle is 4° and the measure of the other angle is 176°
Answer:
8
Step-by-step explanation:
Factor out the greatest common
factor: -16x? + 12x?
Answer:
4x is the greatest common factor of those two.
Step-by-step explanation:
(-16x + 12x)
4x (-4 + 3)
4x is the GCF
Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.
Hopes this helps!!!
A stick 1 meter long casts a shadow 0.5 meters long. A building casts a shadow 16 meters long. How tall is the building?
Answer:
I think 8
Step-by-step explanation:
i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8
sorry if im totally wrong
Can anyone help me with this please.
I’ll mark you as a brainliest.
Answer:
x = 21
Step-by-step explanation:
5x + 18 = 7x - 24
=> 5x - 7x = - 24 - 18
=> -2x = - 42
=> x = -42 / -2
=> x = 21
Hope it helps :)
Please mark my answer as the brainliest
Which answer choice gives three lengths that WILL form a triangle when put
together?
5,7,13
12, 18, 35
107,8,9
4.5.10
Answer:
none of them
Step-by-step explanation:
in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense
Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third
Step-by-step explanation:
Which pair shows equivalent expressions?
2x+10= -2(x-5)
-2(x+5)=2x-10
-2x-10= -2(x=5)
-2(x-5)= -2x- 10
Answer:
C
Step-by-step explanation:
I took the test
giving out brainliest!!
Answer:
A.
Step-by-step explanation:
3x^2 + 9x + 4x + 12
Answer:
steps below
Step-by-step explanation:
3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)
if 3x² + 9x + 4x + 12 = 0 x = -3 or x = - 4/3
Easy Cooking is a cooking supply company. Last year, the company sold a total of 5,340 ovens. This year, they sold 7,743 ovens. What is the percent of increase in the annual sales of ovens?
Answer:
45%
Step-by-step explanation:
Given data
Last year, the company sold a total of 5,340 ovens
This year, they sold 7,743 ovens
Percent increase= final-initial/initial*100
substitute
Percent increase= 7,743-5,340/5,340*100
Percent increase= 2403/5,340*100
Percent increase=0.45*100
Percent increase=45%
Hence the increase is 45%
How do I solve these two complex fraction problems?
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
no hablo inglés xd no te puedo ayudar
Answer:
y^4/x^2
Step-by-step explanation:
i wish i could show the work but tbh i just use the link i comment under
Its helpful
please answer will give brainliest
Answer:
2 Gallons
Step-by-step explanation:
20.5ft x 16.4ft = 336.2
336.2 divided by 200= 168 gallons
Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.
Hey guys I really need help
Answer:
No, I think and yes.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
no cap
Is this right? Plz check
0
-3 < n < 1
n is an integer.
Write down the possible values of n.
Answer:
-2,-1,0
Step-by-step explanation:
the integers between -3 and 1, not including -3 and 1 are
-2,-1,0
For every pound a company spends on advertising, it spends £0.26 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
Answer:
Can you convert pounds to dollars?
Step-by-step explanation:
The diagonals of rectangle. QRST intersect at P. Given that m<PTS = 34° and QS=10 , find QP.
Answer:
QP = 5
Step-by-step explanation:
since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right triangles.
because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS
10/2 = 5
By the property of diagonal in a rectangle are equal and bisect each other measure of QP is 5 units.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, QRST is a rectangle, QS and RT are the diagonals of the rectangle
QRST.
By properties of rectangles, we know a rectangle is a parallelogram in which opposite sides are equal and diagonals bisect each other.
Given, QS is 10 units and QS = 2QP.
10 = 2QP.
QP = 10/2.
QP = 5.
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100 points ASAP!
A scale drawing of Julie's living room is shown below:
A rectangle is shown. The length of the rectangle is labeled as length equal to 8 cm, and the width is labeled as width equal to 6 cm.
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Length = 16 feet, width = 12 feet
Length = 10 feet, width = 8 feet
Length = 32 feet, width = 24 feet
Length = 14 feet, width = 12 feet
Answer:
Length = 16 feet, width = 12 feet
Step-by-step explanation:
The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.
Do the same steps with the width. The real length is 12 feet.
Hope it helps!
Answer
First off, nice 100 point scam, don't do it again, because you could get warned or even worse banned, second off Have a great day!
Length = 16 feet, width = 12 feet
Step-by-step explanation:
The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.
Do the same steps with the width. The real length is 12 feet.
Hope it helps!
Step-by-step explanation:
Five less than the product of -3 and a number is -2.
Answer:
The equation is -3n-5=-2. The answer is -1.
What is the measure of angle QZP
Answer:
22 degrees
Step-by-step explanation:
so if we take this here we know for sure that DZP is equal to 90 degrees
so DZP is split by QZD and QZP
so we take the 90 degrees we know for sure and then we take the two angle measurements we know
and we make this equation
9x + 5 + 3x + 1 = 90
and then we simplify this and it leaves us with
12x + 6 = 90
12x = 84
x = 7
so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle
3x + 1
3 (7) + 1
21 + 1
leaving us with our answer 22 degrees
and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!
hope this helps!
A shoe distributor sells a particular pair of shoes to a store for $42.80. The store then sells this pair of shoes to a customer at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?
Answer:
$14.98
Step-by-step explanation:
The store bought the pair of shoes for $42.80.
If the store sells the pair of shoes at a 35% markup, then it is selling it at:
([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78
To calculate how much money the store is making from selling this pair of shoes:
57.78 - 42.80 = $14.98
The store would be making $14.98 for selling one pair of shoes to a customer.
One base of an isosceles trapezoid is 12 and the other is 20. What is the length of the midsegment?
what is x if :-1/3x-9=2
Answer:
x = -33
Step-by-step explanation:
-1/3 x - 9 = 2 add nine to both sides
-1/3 x = 11 multiply both sides by -3
x = -33
Hope that helps
The cost of a taxi journey is
£4 plus £3 per mile.
What is the cost of a journey of 7 miles?
A £7
B £21
C £25
D £31
Answer:
its C
Step-by-step explanation:
it's because 3x7 is 21 add 4 to that its 25 and that's your answer
PLZ HELP ME THIS IS 7TH GRADE MATH I NEED HELP ASAP
Step-by-step explanation:
To get the circumference of a circle: 2[tex]\pi[/tex]×radius
Your circle has a given diameter of 3 feet.
To get the radius: 3 ÷ 2 = 1.5
To get circumference of this circle: 2 × [tex]\pi[/tex] × 1.5 = 9.424777961......
Answer:
Approximately 9.424 feet
Answer:
i am in 7th grade as well the answer is 9.42 rounded to the nearset of a tenth would be 9.4
Step-by-step explanation:
first find the radius by doing diameter ÷2
3÷2=1.5
1.5xπ
what is the absoulute value
pls help
thanks so much