Answer: c b< 3 2/15
1a. A club has 11 members. How many different 3-member committees could the club form?
a) 165
OR
b) 990
1b. in how many ways a club president can a club president, treasurer and secretary be chosen?
a) 165
OR
b) 990
Answer:
1a is 165
1b is 990
Step-by-step explanation:
So the first one is basically asking the possibility of each member being chosen for one of each role.
While the second one is asking the possibility of the person being in one specific role and making that be considered a possibility.
In other words, it's basically easier to get into one of the three roles rather than being in one specific role.
Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5
Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Hope this helps!
Two linear equation has their solutions on the points where they intersect each other.
The solution of the given system of equations is:
x = 2, y = 3.
How to determine the solution of system of linear equations graphically?Each linear equation represents a straight line.
If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.
If both the given lines are parallel, then there is no intersection and thus no solution.
If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.
Using method of substitution to solve the system of equations:[tex]y = 3x-3\\ x+y = 5 [/tex]
Substituting the value of y from first equation in the second equation, we get:
[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]
Thus, putting this value of x in first equation, we get:
[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]
Thus, the system has one solution and it is x = 2, y = 3.
Using graphing, we can see that point of intersection is (x,y) = (2,3)
Learn more about solutions of system of linear equations:
https://brainly.com/question/9351049
work out area of this semi circle with diameter 10
Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.
y-9= 2(x - 5)
Solve for y
Answer:
y=2x-1
Step-by-step explanation:
y-9=2x-10
y=2x -10+9
y=2x-1
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
The answer is 79 degrees
Step-by-step explanation:
Vertically opposite angles are exactly the same. In this case M<AED and M<IEF are vertically opposite from each other.
Answer:
79°
Step-by-step explanation:
[tex] m\angle AED = 79\degree \\ .... (given) \\\\
\because m\angle IEF = m\angle AED \\ ... (Vertical \:\angle 's) \\ \\
\therefore m\angle IEF = 79\degree[/tex]
PLEASE HELP!! WILL GIVE BRAINLIEST!!
An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation:
f(t) = -16t² + 80t
where t is time in seconds and f(t) is height in feet.
Find how long it will take the arrow to hit the ground using an algebraic method
Show all of your reasoning/steps used with this algebraic method.
Answer:
this is unsolvable because you dont know what the height in feet is
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
Answer:
Step-by-step explanation:
to know:
-to be paralel the lines have to have the same slope
-to be perpendicular the slope has to be negative invers of thhe other
-to be neither has to be none of the above two
equation to compare to is
y=mx+b where m is the slope
if your equation does not have this form make it have this form
2y=3x+1 so divide by 2
y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]
4x+6y=14 so subtract 4x and then divide by 6 to isolate y
6y= -4x+14
y=[tex]\frac{-4}{6}[/tex] x + [tex]\frac{14}{6}[/tex] symplify
y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex] so the slope here is [tex]\frac{-2}{3}[/tex]
So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular
and so on...
Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?
Answer:
20
Step-by-step explanation:
Total no of plants in a garden = 36
The ratio of tomato plants to cucumber plants to be 4:5.
Let tomato plants are 4x and cucumber plants is 5x.
ATQ,
4x+5x=36
9x = 36
x = 4
For cucumber plant, 5x = 5(4) = 20
So, there are 20 cucumber plants will be in Reggie's garden
what is the x-intercept of the graph of the function f(x) = x2 - 16x + 64?
Answer:
(8,0)
Step-by-step explanation:
Hi! I have trouble with these type of questions, what is 3.478 divided by 37?
Answer:
0.094
Step-by-step explanation:
3.478 ÷ 37 = 0.094I hope this helps!
The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0
Answer:
2
Step-by-step explanation:
Given:
The interval, x = -2 to x = 0.
Required:
Average rate of change from x = -2 to x = 0.
SOLUTION:
From the graph,
If x = -2, f(-2) = 0.
If x = 0, f(0) = 4
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
[tex] a = -2, f(a) = 0 [/tex]
[tex] b = 0, f(b) = 4 [/tex]
Plug in the values into the formula:
[tex] = \frac{4 - 0}{0 -(-2)} [/tex]
[tex] = \frac{4}{2} = 2 [/tex]
Average rate of change from x = -2 to x = 0 is 2.
A zookeeper is preparing to care for snakes in an exhibit. For every 2 snakes, she needs 1 bowl of water. How many bowls of water are needed if the number of snakes is x? *
Answer:
k
Step-by-step explanation:
The sport of wrestling is becoming more popular among girls. The ratio of girls to boys in wrestling is 1 to 5. If there are 200 boys in a wrestling league, how many girls are there? *
Answer:
40
Step-by-step explanation:
200 divided by 5 is 40, and 40 times 1 is 40.
Answer:
40 girls
Step-by-step explanation:
HeLPPPPp!!! The area of a square is numerically equal to three times its perimeter. Find the length of a side of the square.
Remember to only enter a number.
Answer:
12 Units
Step-by-step explanation:
Area of square = A^2
3 times its perimeter = 3(4A)
A^2= 12A
A=12
36x-2 + 34x+2 = 180 solve
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
[tex]x = \frac{18}{7} [/tex]
Plz help me agh! It’s linear stuff
Answer:
(1/2)x - y = -2
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStandard Form: Ax + By = C
Step-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: 2 + (1/2)x = y
Step 2: Find Standard Form
Rewrite: y = (1/2)x + 2Subtract 1/2x on both sides: y - 1/2x = 2Factor negative: -(1/2x - y) = 2Divide both sides by -1: 1/2x - y = -2April purchased 20 3/8 lb of potatoes for a picnic. The potatoes cost $2.95/lb. What was the total cost of the potatoes?
help
Answer:
$55.25
Step-by-step explanation:
20 3/8=163 163 divided by $2.95= $55.25
2x + 7 > 11
Please and thank you
Answer:
x = > 2
Step-by-step explanation:
This is the answer because:
1) >2 means x is any number greater than 2
2) For example, 2 x 3 = 6 + 7 = 13
3) 13 is greater than 11
Hope this helps!
what is the equation of the line with slope -3 and y-intercept 6? Express your answer in slope-intercept form.
Answer:
y=-3x+6
Step-by-step explanation:
Answer:
y = -3x + 6
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
SO
m = -3
b = 6
Thus,
y = -3x + 6
Two trapezoids below are similar what is the length of RS?
9514 1404 393
Answer:
11.5 m
Step-by-step explanation:
The fact that the figures are similar means the side lengths are proportional:
RS/QT = BC/AD
RS/(7 m) = (2.3 m)/(1.4 m)
RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m
RS = 11.5 m
Which expression is undefined?
A. -8 ÷ (-8)
B. -8 ÷ 8
C. 0 ÷ 8
D. 8 ÷ 0
Answer:
Option D
Step-by-step explanation:
8 ÷ 0 = Undefined
Answer:
D
Step-by-step explanation:
the answer would be (12)
thank you.............................
Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined
Answer:
Zero
Step-by-step explanation:
it is to correct answer because I did this before and one of my classes also subscribe to my channel bye
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answer:
polynomial is -1
so answer is-1
(180-x)+(90-x) = 124
Answer:
x = 73
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define equation
(180 - x) + (90 - x) = 124
Step 2: Solve for x
Combine like terms: 270 - 2x = 124Subtract 270 on both sides: -2x = -146Divide -2 on both sides: x = 73Step 3: Check
Plug in x to verify it's a solution.
Substitute: (180 - 73) + (90 - 73) = 124Subtract: 107 + 17 = 124Add: 124 = 124A rope is 225 centimeters long.
You need the rope to be 1 1/2 meters long.
How many centimeters should you cut off?
Rope = 225 cm
Needed rope = 11/2m = (11/2) × 100 cm = 550cm
So, rope needed to be cut
= 550cm - 225cm
= 225cm
=225/100m
=2.25 m
What is the sum of 4.061 and 18.62?
Answer:
22.681
Step-by-step explanation:
1
4.061
+ 18.620
22.681
Hope this helps!! Have a wonderful day C:
3.3g+4=1.3g+8 helppp pls
Answer: 2
Step-by-step explanation:
3.3 x 2 = 6.6
6.6 + 4 = 10.6
1.3 x 2 = 2.6
2.6 + 8 = 10.6
13 only (give brainliest) ASAP
Answer:
1/3 or 0.3
Step-by-step explanation:
5/8 x 4/5 x 2/3 =
1/3 or 0.3
Answer:
1/3 in^3
Step-by-step explanation:
In order to find the volume, you must multiply the length, by the width, by the height. This would mean you need to do 2/3x5/8x4/5=40/120
40/120 simplified will give you 1/3