The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
How can these combination problems be solved?Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
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Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. 3(5+1)
Answer:
18
Step-by-step explanation:
[tex]3(5 + 1) \\ 3(5) + 3(1) \\ 15 + 3 \\ 18[/tex]
The distributive property means you distribute the multiple to all terms in the parenthesis, in this case the terms are 5 and 1.
If it takes 10gallons of gas to travel 130 miles. Plot a chart showing the distance covered by 25 gallons, 30 gallons and 32 gallons of gas.
PLEASE ANSWER QUICKLY
Answer:
325, 390, 416
Step-by-step explanation:
So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.
find the coordinate plane that represents the solution of this system y > -x - 1 y + 4 ≤ x
Answer:
The graph will open to the right and will be mostly in quadrant 1
Step-by-step explanation:
show work for x<4 and x<-1
Answer:
The answer will be 4-1pleaseAlice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situation?
A. c + (c + 2) = 12, where c is the number of dimes
B. c + 2c = 12, where c is the number of nickels
C. c + (c + 2) = 12, where c is the number of nickels
D. c + 2c = 12, where c is the number of dimes
2
SEE ANSWERS
Answer:
A. c + (c + 2) = 12
Step-by-step explanation:
can someone find the radius and center point of x^2+y^2-16x+2y+56=0 (general form)
Answer:
Center is [tex](8,-1)[/tex]
Radius is [tex]3[/tex]
Step-by-step explanation:
To convert from a general form equation to a standard form equation, we must complete the square for each variable to simplify. Make sure to rearrange the equation to complete the square more easily:
[tex]x^2+y^2-16x+2y+56=0\\\\x^2-16x+56+y^2+2y=0\\\\x^2-16x+56(+8)+y^2+2y(+1)=0+8+1\\\\x^2-16x+64+y^2+2y+1=9\\\\(x^2-16x+64)+(y^2+2y+1)=9\\\\(x-8)^2+(y+1)^2=9[/tex]
Since the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], our circle will have a center of [tex](h,k)\rightarrow(8,-1)[/tex] and a radius of [tex]r^2=9\rightarrow r=3[/tex].
The ratio of AC to BC is ______
[tex]\cfrac{AC}{BC}\implies \cfrac{\stackrel{AC=3+9}{3~~ + ~~9}}{\underset{BC=9}{9}}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{3}\implies 4~:~3[/tex]
10 less than 3 times a number is 25 what is that number
Answer:
-5
Step-by-step explanation:
10 - 3N = 25
Subtract 10 from both sides
-3N=15
Divide both sides by -3
N = -5
1. In the following exercises, translate into an equation and solve
a. Distance Avril rode her bike a total of 18 miles, from home to the library and then to the beach. The distance from Avril’s house to the library is 7 miles. What is the distance from the library to the beach?
Answer:
11 miles
Step-by-step explanation:
The length of the route is the sum of the lengths of the parts of the route.
__
Let b represent the distance to the beach from the library.
total distance = (home to library) +(library to beach)
18 miles = 7 miles + b
11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation
The distance from the library to the beach is 11 miles.
Show me how you did it on mathwatch Ill give Brainliest to anyone
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.
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A fish tank can hold 190 liters of water. The tank has 154 liters of water in it already.
How many more liters of water can the fish tank hold?
Enter your answer in the box.
Answer:
it is 36 liters
Step-by-step explanation:
think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.
The circumference of a circle is 37.68 meters. What is the circle's diameter?
C = 37.68 m
Use 3.14 for л.
Answer:
The diameter is 12.
Explain: i used this formula C= Dπ or C= 2rπ
(37.68) = Dπ Divide by 3.14, as the instructions in this question specify to do so.
37.68/3.14 = D π/ 3.14
D = 12 The diameter equals twelve.
Hope This Helped
Please answer this question
Answer:
A: Isosceles B: EquilateralC: ScaleneD: Isosceles E: Isosceles F: ScaleneStep-by-step explanation:
We can classify triangles by their sides into three types:
Equilateral: It is when the triangle has all the equal sides.Isosceles: It is when the triangle has only two equal sides.Scalene: It is when none of the sides of a triangle are equal. MissSpanishCalculate the area of the following square if a=17
What ratio of sides from AADE defines tan 19° ?
Answer:
[tex]\large \sf \boxed{ \sf \dfrac{DE}{AD} }[/tex]
Explanation:
[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]
Here given angle: 19°
Opposite to this angle: DE
Adjacent to this angle: AD
Hypotenuse to this angle: EA
So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD
help me now !! help help help
Answer:
Step-by-step explanation:
1) Parallelepiped
We need to find its surface area minus the area of the base and the base of the cylinder above.
2 (9) (2.4) = 43.2
2 (5) (2.4) = 24
4pi = Area of the base of the cylinder
45 - 4pi = Area of the base of the parallelepiped minus covered region.
Surface needed = 112.2 - 4pi
2) Cylinder
We need to find its surface area minus the area of the base.
2 (pi) (2) (3) = 12pi
pi (4) = 4pi
Surface needed = 16pi
Total surafec needed: (112.2 - 4pi) + 16pi = 112.2 + 12pi
(This is solved in 'pi' terms)
If this helped, I'd like to have a brainliest. Have a nice day!!
Question 28(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4.34
35.4-2
O
314
4|3
03⁰00
Answer:
[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]
Step-by-step explanation:
[tex] \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } [/tex]
We simplify the algebraic expression.[tex] \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} [/tex]
We calculate the product of the denominator:[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]
MissSpanishWrite the equation for g (x)
The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
where:
m is the slope(x1, y1) is the point on the slopeIf the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.
Determine the required equation of a line
y - y1 = m(x-x1)
y - 8 = 25(x-3)
Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
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Write the standard equation of the circle with center (−10,−5) that passes through the point (−7,5).
Answer:
(x + 10)^2 + (y - 5)^2 = r^2
please help anyone i need to pass summer school
What is the distance between points (5, 1) and (2, -3)?
Answer:
5
Step-by-step explanation:
The distance between two points [tex]P[/tex] and [tex]Q[/tex] is [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]
are the coordinates of the first and the second points respectively).
Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]
Alex wants to cover his wall
with a circular clock that has a
diameter of 16 in. How much
space will the clock cover on
his wall?
Answer: A = π r2
r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201
Step-by-step explanation: brainliest please?
simplify (x^3+2x-3)-(x^2-2x+4)
Answer:
x³ - ((x+1)(x+1))
Step-by-step explanation:
x³ + 2x -3 - x² - 2x + 4
x³ - x² + 1
x³ - ((x+1)(x+1))
Answer:
x^3−x^2+4x−7
Step-by-step explanation:
Hope this helps! Have a great day!!
Answers need to be fractions, if they are not whole numbers. No decimals
y=1/2x−7
Slope of lines parallel to line
Slope of lines perpendicular to line
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
What is the equation of a straight line ?An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
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On a scale drawing of the length of an advertisement billboard is 5cm what is the actual length of the scale is 1cm represent 2m?
Answer:
10m
Step-by-step explanation:
5x2=10 and it's in meters so ya
Which graph describes the relation {(5, 1), (1, –2), (0, –1), (–3, 2)}?
The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
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Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.
The error Kevin made was in step 2 when he added before he multiplied.
What error did Kevin make?
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
bracket of division multiplication addition subtractionStep 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66To learn more about addition, please check: https://brainly.com/question/349488
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How and What is the domain of the function
Answer: C
Step-by-step explanation:
Domain is calculated by looking at the x axis. The graph starts at 0 and makes its way to 8, ending there. The first number 0 in the answer is where the domain first started, and the 8 is where it ends.
what contribution to geometry is attributed to the work of rene descartes
Answer: Analytic geometry
Solve 4 x 5/6 Change to a mixed number and reduce.
Answer:
10/3 or 3.333333
Step-by-step explanation:
- 4 x 5/6 is 3 1/3
- 3 1/3 is a mixed number
- 3 1/3 reduced is 10/3