[1] 60 possible ways
There are 5 people with 3 "spots."
We can use the following formula to solve for the possible ways that they could be photographed. This calls for a "permutation."
-> n is the total number of people, 5
-> r is the sample, 3, we are taking a picture of at a time
n! / (n−r)!
5! / (5−3)!
5! / (2)!
120 / 2
60
[2] 10 different groups
There are 5 people with 3 "spots."
We can use the following formula to solve for the possible combinations your group mates could end up being. This calls for a "combination."
-> n is the total number of people, 5
-> r is the sample, 3, we are taking 3 people to be a part of our group at a time
n! / (r!(n−r)!)
5! / (3!(5−3)!)
5! / (3!(2)!)
5! / (3!(2)!)
120 / 12
10
What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.
Answer:
slope=0
Step-by-step explanation:
The required slope of the line is zero which implies that the given line is parallel to the x-axis.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0
Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.
Learn more about slopes here:
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What fraction with a denominator of 100 is equivalent to 0.43?
Answer:
[tex]\frac{43}{100}[/tex]
Step-by-step explanation:
Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12 and [tex]\frac{4}{100}[/tex] = 0.04)
The fraction with a denominator of 100 is equivalent to 0.43 is,
[tex]\frac{43}{100}[/tex].
Here,
We have to find fraction with a denominator of 100 is equivalent to 0.43.
What is Fraction?
A fraction is used to represent the portion/part of the whole thing.
Now,
Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].
And, its equivalent to 0.43.
Hence,
[tex]\frac{x}{100} = 0.43[/tex]
[tex]x = 43[/tex]
So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].
Which is equivalent to 0.43.
Learn more about the Fraction visit:
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36. Find m2 in isosceles trapezoid ABCD.
Given: m A = 60
Answer:
120
Step-by-step explanation:
Isosceles trapezoids have supplementary opposite angles
180 - 60 = 120
Both angle D and angle C are 120
1. Find the x- and y-intercept of the line. (1 point)
x - y = 12
The x-intercept is when the value of the y-coordinate is 0.
[tex]x - 0 = 12\\ x = 12[/tex]
Thus the x-intercept is at (12,0).
The y-intercept is when the value of the x-coordinate is 0
[tex]0-y=12\\y = -12[/tex]
Thus the y-intercept is at (0,-12)
What is the ratio 2 1/7 to 3 4/7 as a simplified fraction?
Write two Equivalent ratios 7/8
Answer:
14/16? is this correct or would it be 3.5/4. Also what kind of Math is this.
Step-by-step explanation:
What is the area, in square inches, of the rectangle below?
3/8 inch
2/3 inch
Answer choices:
A square 16/9inches
B 25/24 square inches
C 5/11 square inches
D 6/24 square inches
PLEASE HELP ASAP!!
* if you want to see it with your eyes, then you can look at the picture* :)
What is the classification of the pair of angles shown
34°
146°
Find the degree of the monomial: 18x^6y^2
Answer:
8
Step-by-step explanation:
Exponent of x = 6
Exponent of y = 2
Degree of the monomial = 6 + 2 = 8
find the volume of this prism 8cm 9cm 11cm
Answer:
792 cm
Step-by-step explanation:
8*9*11=792
72*11=792
72+720=792
Answer:
The answer is 396 i hope it helps!
What is the answer with steps?
Answer:
3
Step-by-step explanation:
Milan bought 8 pounds of rice for $3. How many pounds of rice did he get per dollar?
Answer:
$2.67
Step-by-step explanation:
You would do 8/3 which is 2.666666667 which when rounded to the nearest hundredth is 2.67
Hope this helps!
The tree diagram represents an
experiment consisting of two trials.
The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18
The probability of A ; P(A) from the tree diagram is 0.6
The probability of B ; P(B) from the tree diagram is 0.3
The probability, P(A and B) equals ;
P(A) × P(B) = 0.6 × 0.3 = 0.18
Therefore, probability of A and B is 0.18
A room is 12 feet long, 14 feet wide, and 11 feet high. The walls, ceiling, and floor are all to be painted the same color. How many square feet must be covered with paint?
Answer:
908 feet²
Step-by-step explanation:
To paint walls, we will be looking for surface area.
Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.
-> See attached for a diagram I made of the sides we need
-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.
We end up with the following sides:
11 * 12
11 * 12
11 * 14
11 * 14
12 * 14
12 * 14
We can simplify this to the following:
(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²
908 feet² must be covered with paint.
The Sum of a number and two times a smaller number is 62. Three times the bigger number is C the smaller number by 116 the bigger number is? The smaller number is?
Answer:
x = 10
y = 42
Step-by-step explanation:
The sum of a number and two times a smaller number is 62
2x+y=62
so y=62−2x
Three times the bigger number exceeds the smaller number by 116
x+116=3y
substitute for y:
x+116=3(62−2x)
x+6x=186−116
7x=70
x=10
3y=10+116=126
#y = 126/3 = 42
Find the value of x for the triangle.
Answer:
Step-by-step explanation:
8x + 2 + 70 + 60 = 180 {angle sum property of triangle}
8x + 132 = 180
8x = 180 -132
8x = 48
x = 48/8
x = 6
Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .
We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.
Here,
➙ ∠A = 70°
➙ ∠B = 60°
➙ ∠C = 8x + 2
Angle sum propertyIt states that the sum of all angles of a triangle is 180°
ㅤㅤㅤ➙ ∠A + ∠B + ∠C = 180°
ㅤㅤㅤ➙ 70° + 60° + ∠C = 180°
ㅤㅤㅤ➙ 130° + ∠C = 180°
ㅤㅤㅤ➙ ∠C = 180° - 130°
ㅤㅤㅤ➙ ∠C = 50°
ㅤㅤㅤ➙ 8x + 2 = 50
ㅤㅤㅤ➙ 8x = 50 - 2
ㅤㅤㅤ➙ 8x = 48
ㅤㅤㅤ➙ x = 48 / 8
ㅤㅤㅤ➙ x = 6
PLEASE HELP IM RUNNING OUT OF TIME
Answer:
the answer is 160 that the answer
One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.
The code for Escape Room is MCYHW.
InequalitiesInequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.
For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.
Inequality H[tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]
Therefore, you should connect H with x<1.
Inequality W[tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]
Therefore, you should connect W with x>-2.
Inequality M[tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]
Therefore, you should connect M with x≤-12.
Inequality Y[tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]
Therefore, you should connect Y with x≥9.
Inequality C[tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]
Therefore, you should connect C with x≥7.
Thus, the sequence is:
M - [tex]x\leq -12[/tex]
C - [tex]x\geq 7[/tex]
Y- [tex]x\geq 9[/tex]
H- [tex]x < 1[/tex]
W- [tex]x > -2[/tex]
Read more about inequalities here.
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from 1-50, How many
Of them are perfect
numbers:
Answer:
2 of them are perfect numbers and they are 6 and 28
Step-by-step explanation:
because they are one of the first 5 perfect numbers!
Hope this helps :)
The ratio 6 to 24 is equivalent to what ratio?
Show how to solve \/2x+1-4=-1
Answer: X=5/8
Step-by-step explanation:
2*x-1/4-(1)>0
Step 1 Simplify: 1/4
(2x-1/4)-1>0
Step 2 Rewrite the whole number in an equivalent fraction:
(Subtract a fraction from a whole)
2x=2x/1=2x*4/4
Adding Fractions that have a common denominator:
2x*4-(1)/4=8x*1/4
The equation at the end of step 2:
(8x-1)/4-1>0
Step 3 Rewrite the whole as an equivalent fraction:
1=1/1=1*4/4
Adding Fractions that have a common denominator:
(8x-1)-(4)/4=8x-5/4
The equation at the End of Step 3:
8x-5/4>0
Step 4:
Multiply both sides by 4 then Divide both sides by 8.
So the answer is
x>5/8
I know it seems a lot but it's just the way I learned it. I hope you understand.
3 1/2 is to 5 as X is to 15
Answer:
Answer:
[tex]x = 10.5[/tex]
Solving steps:
3 1/2 = 5, x = 15
divide 3.5 by 5
=> 0.7
0.7 by 15
=> 10.5
answer thissss pleaseee
Answer:45 degree angle
Step-by-step explanation: am smart
What is the measure of angle B in the triangle?
Answer:
22°
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$10,000 is compounded quarterly at 12% interest for t years. What expression represents the amount of money after t years?
Answer:
12%
Step-by-step explanation:
A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?
Answer: it makes 126 copies
Explanation:
15/60=6/24
5x24=120
6+120= 126
The number of eggs in the refrigerator e decreased by 5 equals 18
Answer:
I think its 5e = 18
I hope this helped! :)
Answer:
23 eggs
Step-by-step explanation:
e-5 = 18
e = 18+5
=23
What is the currency of Denmark?
Answer:
D a n I s h K r o n e ...........
I Think The Answer Is krone
Use the Distributive Property to simplify the expression.
4(c-2)
Pls, help...
Answer:
4c-8 or 4c+(-8)
Step-by-step explanation:
4xc- 4x2
Answer:
4c - 8
Step-by-step explanation:
4(c-2)
4c - 8
you have to multiply the 4 by each one in the bracket
but c is a variable so you dont know what number it is. so you just write 4c because that means 4 times whatever c is
Factor each polynomial
3x^5-75x^3
81c^2+72c+16
3x^2+2x+5
25x^2+81=90x
pls give step by step
Answer:
1. 3x^3(x+5)(x-5)
2. (9c+4)^2
3. 3x^2 + 2x +5
4. (5x-9)^2=0
Step-by-step explanation: