please help me immediately for brainliest
A bus has 6 seats and there are 8 passengers.In how many ways can the bus be filled?
Answer:
The number of ways the bus can be filled is 28 ways
Step-by-step explanation:
The given parameters are;
The number of seats in the bus = 6
The number of passengers available = 8
The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;
The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex] which can be given as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]
Therefore;
The number of ways the bus can be filled is therefore;
[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].
What is the smallest possible integer value of $x$ if $12\div(x+1)$ is an integer?
Answer:
The answer is -13.
Step-by-step explanation:
We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,
[tex]x+1=-12\\x=\boxed{-13}[/tex]
Turn 15/4 Into a decimal show your work
Answer:
3[tex]\frac{3}{4}[/tex] / 3.75
Step-by-step explanation:
[tex]\frac{15}{4}[/tex]
calculate the value
3.75
what is the variable in this expression? 9n-2 A)2 B) 9 C) N
Step-by-step explanation:
The variable is n, which can have different values. 9 is the coefficient of the variable term and -2 is the constant term
Answer:
C)N.
Because variables represent an unknown number.
the distance between the pair of points (3,5) and (11,11)
Formula: d = √(x2-x1)²+(y2-y1)²
d = √(11-3)²+(11-5)²
d = √8²+6²
d = √64+36
d = √100
d = 10
Best of Luck!
Jose went to a local electronic store. He found a 45 inch television that cost $255. He asked the store manager if he could give him a discount. The manager agreed to deduct 1/4 off the price of the television. How much money did Jose pay for the television?
Answer:
he paid 168.75
Step-by-step explanation:
multiply 225 by .25 and you would get 56.25 and then subtrsct that from 225 and you would get your answer od 168.75
Answer:
191.25
Step-by-step explanation:
just look up 1/4 of 255 and you get 63.75. Now remove that from 255 and you get your answer.
1 27 points from 35 points.
Answer:
127 from 35
127 - 35
92
Step-by-step explanation:
Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
Answer:
Picture 1 has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 green squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.
Step-by-step explanation:
Picture one has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.
What is 12.5×10 to the six power
Answer:
12500000
Step-by-step explanation:
Answer: the answer is 12500000
Step-by-step explanation:
Which type of map is this?
Answer:
goo
Step-by-step explanation:
HELP! this is due today
Answer:
2cm x 2cm x 2cm
∛8=2
Step-by-step explanation:
2cm x 2cm x 2cm
∛8=2
what is the gcf of 12a²,15a³,18a5
Answer:
[tex]3a {}^{2} [/tex]
Find the distance between each pair of points. Round to the tenths place.
Answer:
12.0
Step-by-step explanation:
Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} [/tex], to find the distance between points (2, 7) and (-6, -2)
Let,
[tex] (2, 7) = (x_1, y_1) [/tex]
[tex] (-6, -2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} [/tex]
[tex] d = \sqrt{(-8)^2 + (-9)^2} [/tex]
[tex] d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units [/tex] (nearest tenth)
gift ond Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
Answer:
24
Step-by-step explanation:
The product of two numbers is 37.03.If one number is 2.3,find the other.
Answer:
16.1
Step-by-step explanation:
37.03/2.3 = 16.1
Answer:
[tex]\boxed{\bold{\huge{\boxed{16.1}}}}[/tex]
Step-by-step explanation:
Let the first number be x and the second number be y
So, the condition is:
[tex]x * y = 37.03[/tex]
Given that x = 2.3
[tex]2.3 * y = 37.03[/tex]
Dividing both sides by 2.3
[tex]y = \frac{37.03}{2.3}[/tex]
[tex]y = 16.1[/tex]
((3 + 3) 2· 3) - 3 2
Answer:
The answer is 4
Step-by-step explanation:
Hope this answeris helpful...
Make me as brainliest...
Simplify this expression.
2^5(13 +12)
Answer:
800
Step-by-step explanation:
You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800
HELP asap pls
question in picture
Answer:
The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.
Step-by-step explanation:
To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.
can a pentagon be a cross section of a triangular prism?
Answer:
No, a pentagon can NOT be a cross-section of a triangular prism.
Step-by-step explanation:
Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross section of a triangular prism is a triangle. The only prism with a pentagon cross-section is a pentagonal prism.
Solve the following expression for Y
3x + 4y = 12
Answer:
y=3
Step-by-step explanation:
plssss answer asappp!!
Answer:
line k
Step-by-step explanation:
SInce line k is the one intersecting line RS.
a metal block has the following dimensions height 2cm length 10cm width 5cm calculate the volume of the block
Answer:
100cm^3
Step-by-step explanation:
The volume of any cube or cuboid is calculate by simply multiplying the length by the width by the height.
So if our length is 10cm, our width is 5cm and our height is 2cm, then our volume is 10x5x2=100cm^3 (cubic centimeters-unit for volume.)
Hope this helped!
Evaluate 7 + (-3x2) for x = 0.
-2
00
04
Steps to solve:
7 + (3x^2)
~Substitute
7 + 3(0)^2
~Simplify
7 + 3(0)
~Simplify
7 + 0
~Add
7
Best of Luck!
If f(x) = 4, then x
Answer:
x=4/f
Step-by-step explanation:
Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below. Select the form that reveals the maximum value of g(x) without having to be rewritten.
Answer:
A
Step-by-step explanation:
Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.
Simplify the following numerical expressions.
Choose from the numbers in parentheses
|-7| - 7 =
<
2 |-7| =
( -7 )^2 =
<
-7^2 =
>
-7 -|-7| =
(-49) (14) (-14) (0) (49)
Answer:
|-7| - 7 = 0
2 |-7| = 14
( -7 )^2 = 49
-7^2 = 49
-7 -|-7| = -14
Step-by-step explanation:
3(2x - 8) = 6 ????ii
Answer: Divide both sides by the numeric factor on the left side, then solve. x=5
XY = 5x, YZ = x, and XY = 25
Answer:
x=5
Step-by-step explanation:
XY=5x and 25. Therefore, 5x and 25 have the same value. 5 times 5 is 25 so x=5
Answer: 6x=25
Step-by-step explanation:
help pls!!!how to solve it
Answer:
q = 5/6
Step-by-step explanation:
First, we distribute.
16q - 10 = 4q
Then, we combine like terms.
-10 = 4q - 16q
-10 = -12q
Finally, we divide -12 on both sides.
5/6 = q, or q = 5/6
Hope this helps ^^
The volume of a cube is 27 n Superscript 27cubic units. What is the length of one side of the cube?
3 n cubed units
3 n Superscript 9 units
27 n cubed units
27 n Superscript 9 units
Answer:
B. 3 n[tex]9[/tex]
Step-by-step explanation:
I took the test and got it right.
Answer:
the person above me is correct
Step-by-step explanation: