Answer:
D
Step-by-step explanation:
Took This Test Too :P
Answer: It’s $4.00
Step-by-step explanation:
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.
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.
You are enclosing a rectangular garden with feet of ornamental fencing. The area of the garden is square feet. What are the dimensions of the garden?
Answer:
The length and width of the rectangular garden are 20 feet and 10 feet.
Step-by-step explanation:
Given that the length of fencing = 60 feet
The area of the garden = 200 sq. feet.
As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.
Let l and b be the length and width of the rectangular garden.
So, the perimeter of the garden = 2(l+b)=60
[tex]\Rightarrow l+b=60/2=30[/tex]
[tex]\Rightarrow l=30-b\cdots(i)[/tex]
The area of the rectangular garden [tex]= l\times b=200[/tex]
[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]
[tex]\Rightarrow 30b-b^2=200[/tex]
[tex]\Rightarrow b^2-30b+200=0[/tex]
[tex]\Rightarrow b^2-10b-20b+200=0[/tex]
[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]
[tex]\Rightarrow (b-20)(b-10)=0[/tex]
[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]
[tex]\Rightarrow b= 20\;or\; 10[/tex]
Now, from equation (i),
If b=20 than l= 30-20=10
or if b=10 than l=30-10=20.
Hence, the length and width of the rectangular garden are 20 feet and 10 feet.
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
Answer:
5x+3x=8x
8x = 32
x=32/8 = 4
boys are 4 x 5 = 20
girls are 4 x 3 = 12
Step-by-step explanation:
Add the ratios together: 5 + 3 = 8
Divide total students by 8:
32 / 8 = 4
Multiply each ratio by 4 to find the number of each:
Boys = 4 x 5 = 20
Girls = 3 x 4 = 12
There are 20 boys.
rationalise the denominator of (6+root3)(6-root3) over root33
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
To learn more about Square Roots, click on the link below:
https://brainly.com/question/3120622
#SPJ2
Mariana drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?
Answer:
4 days
Step-by-step explanation:
because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4
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 carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?
Answer:
Step-by-step explanation:
Jim will save $14.20
To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form
Comes to .20.
The end result is $14.20.
Step-by-step explanation:
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!
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]
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
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
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
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
Scott grades 15 papers every 15 minutes. how many papers can scott grade in 130 mintues? round to the nearest tenth?
Answer:
130 papers.
Step-by-step explanation:
1 min per paper therefore 130 mins = 130 papers
:)
the answer would be (12)
thank you.............................
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!
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]
what is the x-intercept of the graph of the function f(x) = x2 - 16x + 64?
Answer:
(8,0)
Step-by-step explanation:
(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
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:
What is the 75th term of the arithmetic sequence -1, 5, 11
Answer:
75th term = 443
Step-by-step explanation:
[tex]a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\[/tex]
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:
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
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
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
Dan has £100. Colin takes £. How much is left
Answer:
Maybe 99£
Step-by-step explanation:
Please give me brainliest
Answer:
i think 99 because theres no number after the symbol
Step-by-step explanation:
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
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: