Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
A.5,8 and 4,5
B.5,8 and 4,3
C. 4,5 and 4,3
Answer: I think it's D.
1) Matthew can run of a mile in of an hour. What is the unit rate?
how do you find the value of x
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
please with this problem I'm not sure what to put
..............
The area of the figure below is cm2. Round to the nearest
hundredth where necessary.
30 cm
30 cm
26 cm
Answer:
sorry the question is not clear enough
please help 20 points
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
What is the area of
28
105
38.5
49
Answer:
105
Step-by-step explanation:
11×14= 154
7×7= 49
154-49= 105
Answer:
105 is ur answer!
you're welcome lol
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
hhheeelllpppp pplllssss
Answer:
i think its a
Step-by-step explanation:
Answer:
B 7.2
Step-by-step explanation:
the coordinate of C: (1, 3)
the coordinate of E: (5, -3)
the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]
= [tex]\sqrt{16+36}[/tex]
= [tex]\sqrt{52}[/tex]
≈ 7.2
Need help with this question asap please please
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.
A. Credit score
B. Payment history
C. Salary
D. Age
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
What is the 4th equivalent fraction to 1/2?
Step-by-step explanation:
For example, 2/4 and 3/6 both are equal to ½.
...
Equivalent Fractions Chart.
Unit Fraction Equivalent Fractions
1/2 2/4, 3/6, 4/8..
1/3 2/6, 3/9, 4/12..
1/4 2/8, 3/12, 4/16..
1/5 2/10, 3/15, 4/20,
Answer:
500/1000
Step-by-step explanation:
if you happen to simplify you will get 1/2. hope it helps.good day
Kelly buys 4 7··8 pounds of apples and 2 3··8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
Answer:
7 1/4 pounds
[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]
[tex]6\frac{7 + 3}{8}[/tex]
= [tex]6\frac{10}{8}[/tex]
convert the improper fraction to a mixed fraction
10/8 = 1 2/8 = 1 1/4
Add the 1 1/4 to 6 = 7 1/4
Step-by-step explanation:
Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.
Answer:
a = 15b
Step-by-step explanation:
It's given in the question that Alice has 15 times as many crayons as Bryan.
Let the number of crayons with Bryan = b
And the number of crayons with Alice = a
Therefore, equation representing the number of crayons with Alice will be,
a = 15b
Please let me know the answer to this
What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]
Answer:
402.1
hope it helps
please mark Brainliest
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?
Answer:
53.4° and 36.6°
Step-by-step explanation:
90.0 - 36.6 = 53.4
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
Learn more about quadrilaterals here
https://brainly.com/question/26843538
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can someone please help me
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4
cups of blueberries, how many smoothies can she make?
plz help quick
Answer:
10 smoothies
Step-by-step explanation:
because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.