Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
F(-2)=15, F(1)=9 can someone help me please
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
Please help me due today easy question
Answer:
$24.00 dollars. The problem is confusing, so sorry if this is wrong.
Step-by-step explanation:
A $50 shirt is on sale for
$42. What percent does the
customer save?
please help i have to turn this in in 10 mins
Answer:
3) yes by AA~...
Step-by-step explanation:
ALTERNATE INTERIOR ANGLES
Can somebody help me pls
Answer: the m in in the equation y = mx + b represents the slope of the graph of y = mx + b.
which equation matches the graph?
I can't solve this lol pls help
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
Marla draws a diagonal in a rhombus to form two triangles. What term can she use to classify each triangle? Explain.
A.
Acute; a rhombus always has 2 acute angles so the 3 angles in each triangle must all be acute.
B.
Equilateral; since a rhombus always has 4 equal sides, each triangle must have 3 equal sides.
C.
Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
D.
Obtuse; a rhombus always has 2 obtuse angles so each triangle must have an obtuse angle.
Please answer ASAP
Answer: It's C because It was correct on my test.
If I wrong i'm really sorry
Step-by-step explanation:
C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
A rhombus is a quadrilateral with all four sides congruent, or equal in length. When a diagonal is drawn in a rhombus, it will always divide the rhombus into two congruent triangles. Since the opposite sides of a rhombus are congruent, the two triangles formed by the diagonal will always have two congruent sides. Therefore, each triangle is an isosceles triangle.
A rhombus can have angles of various degrees. It can have angles more than 90 degrees, less than 90 degrees, or 90 degrees which means the statements A, and D are incorrect.
B is incorrect because the triangles formed by the diagonal of a rhombus will not have 3 equal sides, because the diagonal will not be congruent with the sides.
Hence, the correct answer would be an option (C).
Learn more about Isosceles Triangle here:
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a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Let
Weight of large box = x
Weight of small box = y
6x + 5y = 145 (1)
2x + 3y = 57 (2)
Multiply (2) by 3
6x + 9y = 171 (3)
6x + 5y = 145 (1)
Subtract (1) from (3)
9y - 5y = 171 - 145
4y = 26
y = 6.5 kg
Substitute y = 6.5 kg into (2)
2x + 3y = 57
2x + 3(6.5) = 57
2x + 19.5 = 57
2x = 57 - 19.5
2x = 37.5
x = 37.5/2
x = 18.75 kg
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Clothing Online An online clothing company sells custom sweatshirts. The company charges $2.99 for shipping plus $6.00 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
25
21
22
14
15
16
17
Overview
Suomt Ang
Question Progress
Homework Progress
32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)
Answer:
138.16 cm
Step-by-step explanation:
Recall that the formula for calculating the circumference is pi times diameter.
Circumference = 44 x 3.14 cm = 138.16 cm.
Help please will give brainliesy
Answer:
You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)
Step-by-step explanation:
Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)
Then you simplify the right. x - 1 = +- 5sqrt(2)
The answer is both the positive and negative versions.
You scored 90, 95 and 87 on three test. Write and solve an Equation to find the score on the fourth test so that your mean test is 90.
Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation
The result of Andre's first step was -x + 6 -8.
Answer: Andre subtracted 3x from both sides
Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?
Answer: Yes. They'll both make 4 apple pies.
Step-by-step explanation:
Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:
= 13 / 338
= 0.03485
Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:
= 9 / 216
= 0.0417
When they each have 105 apples, the number of apple pies that Mateo will make will be:
= 0.03485 × 105
= 3.65925
= 4 apple pie approximately
Jennifer will make:
= 0.0417 × 105
= 4.3785
= 4 apple pie approximately
Find the value for x.
5x-12
3x + 30
48
Answer: 21
Step-by-step explanation:
Can anyone help me on this?
PLEASEEEE HELPPP ITS DUE IN 15 MINUTES!! the exponential regression representing the population of Lazy Town as a function of time in years
Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
We have, [tex]a=8000,b=0.9[/tex].
Substituting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is [tex]y_1\sim 8000(0.9)^{x_1}[/tex].
which equations have a rate of change greater than the rate of change for the line shown?
Answer:
y = 5x + 3
The line shown has a rate of change of 2, while y = 5x + 3 has a rate of change of 5.
Solve each equation by completing the square. n^2 - 6n + 6 = -2
[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
A nursery plants 6 rows containing 24 pine trees each. It plants 3 rows containing 32 pine trees each. How many pine trees does the nursery plant in all?
Answer:
264 pine trees
Step-by-step explanation:
Calculation for How many pine trees does the nursery plant in all?
Pine trees=(6 rows*32 pine trees)+(3 rows*24 pine trees)
Pine trees=192 pine trees+72 pine trees
Pine trees=264 pine trees
Therefore the numbers of pine trees that the nursery plant in all is 264 pine trees
Write a division number story with an answer of 3/5
Answer:
Tom had 5 friends with him at the beach.
John came by with out his shirt on, showing his muscles.
2 of Tom's friends left with John
What fraction of Tom's friends were left with Tom?
Step-by-step explanation:
Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Expression is 3/5.
To write a division number story with an answer of 3/5:
Jacob and his 4 friends went to pizza house.
That means, the total number of people = 5.
Jacob bought 3 pizzas and share with his friends.
So, each of them get 3/5 pizzas.
Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.
To learn more about the division;
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Which equation matches the graph?
In the xy graph, the range of both axes is minus four to four by increment of one. On both axes every alternate tick marks are labeled. The line on the graph passes through the points (0, -1) and (-1, 3).
A. y = 3x – 8
B. y = –2x + 1
C. y = –4x – 1
D. y = 2x – 5
Answer:
Step-by-step explanation:
we can easily find this by looking at our y intercept
our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for
so C would be oour answer since its the only one with -1 as its constant
hope this helps <3
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9