1.) (-18, -20) (18, 16)
m= 1
2.) (-7, 14) (-11, 4)
m= 5/2
3.) (-5, -4) (3, 9)
m= 13/8
4.) (13, -8) (-9, -1)
m= -7/22
Q
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Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Answer:
Step-by-step explanation:
it’s B
7 and 4 is the only number that has a unique chance. The correct option is B.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Let's analyze the possible sums of both dice, using the notation:
Dice₁ + Dice₂ = sum.
Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.
I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:
We can have 2 if:
1 + 1 = 2
Only one permutation.
and 12 if:
6 + 6 = 12
Again, only one permutation.
so 2 and 12 have the same chance (1 out of 36)
now, to have 3 we can have the:
2 + 1 = 3
1 + 2 = 3.
and to have 11
5 + 6 = 11
6 + 5 = 11
Again, 3 and 11 have the same probability (2 out of 36 options)
And now we can see a pattern.
4 and 10 will have the same chance.
5 and 9 will have the same chance
6 and 8 will have the same chance
7 is the only number that has a unique chance (and it has the largest one)
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Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
Slope: 6/6. Slope in simplest form: 1
Josh works as a tutor for 11$ an hour and a waiter for 15$ an hour. This month he worked 106 hours. What expression solves this?
Answer: -4t + 1590
Step-by-step explanation:
Given : Josh works as a tutor for $11 an hour and as a waiter for $15 an hour.
This month, he worked a combined total of 106 hours at his two jobs.
Let t be the number of hours Josh worked as a tutor this month.
Then, the number of hours Josh worked as a waiter = 106 -t
Then, the total money earned this month ( in dollars)
= 11 (No. of hours worked as a tutor)+ 15 (No. of hours worked as a waiter)
=11(t) + 15(106-t)
= 11t+1590-15t
= -4t+1590
Hence, the expression for the combined total dollar amount he earned this month =
The algebraic expression to this problem is 11x + 15y = 106
What is algebraic expression?Algebraic expressions have variables, numbers, and operations. A variable is a letter that represents an unknown amount.
Let number of hours Josh worked as a tutor be x hour.
Let number of hours Josh worked as a waiter be y hours.
The equation becomes -
11x + 15y = 106
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60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.
Answer:
x=16
Step-by-step explanation:
I hope this helps you
It costs $5 to get into the state park, plus $12 per night for you to camp there. If you have a total of $137 to
spend, how many nights can you camp there?
Answer:
11 nights
Step-by-step explanation:
Our total budget: $137
First, let's deduct the cost to enter the park.
137 - 5 = 132
We have $132 to spend on the hotel.
Since the cost is $12 per night, we need to find out how many times $12 can go into $132. This is done using division.
132 / 12 = 11
As we can see, we can pay $12 eleven times until our money runs out.
Thus, we can stay at the camp for 11 nights!
Answer: 11 nights
The final velocity of an object moving in one dimension is given by the formula v=u+at, where u is the initial velocity, a is the acceleration, and t is the time. Solve the equation to t. To solve for t, first __ both sides of the equation.
Answer:
subtract u from
Step-by-step explanation:
the second answer is D. t=(v-u)/a
just did it on edge
Answer:
"subtract u from"
Step-by-step explanation:
correct on edge 2022 :)
Classify the equation as a conditional equation, an identity, or a contradiction. 6x−10−8=9+4x−4x
Step-by-step explanation:
this is your answer.........
Answer:
conditional equation
Step-by-step explanation:
Collecting terms on both sides, we get
6x−10−86x−18=9+4x−4x=9
Adding 18 to both sides of the equation, we get
6x=27
This can be solved by dividing by 6 on both sides of the equation, which gives a unique solution of 92. So, this is a conditional equation.
Find the value of using identities 996^2
Answer:
992,016
Step-by-step explanation:
[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]
Are all numbers rational?
Please help I will give Brainlyest
What is the constant of proportionality in the equation Y= ĝ?
0 0
colo
0 1
MATH QUESTION... NEED HELP
Answer:
C. 7 inches I hope this helps
Multiple
1. Which of the following is Eular's formula?
OE-V + F = 2
OV-E+ F = 2
Answer:
see explanation
Step-by-step explanation:
Euler's formula for polyhedra is
V- E + F = 2
where V is number of vertices, E number of edges and F number of faces
The school shop ordered 20 boxes of snacks and there were 89 snacks in each box. If 15 snacks were sold from each box, how many were left?
Answer:
1,480
Step-by-step explanation:
89x20=1,780 total snacks
20x15=300 snacks sold
1,780-300=1,480 snacks left
Solve for x: 3 < x + 3 < 6
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to everything
0 < x < 3
Best of Luck!
Find the area of a square with sides of length 6.5 inches
Answer:
A=42.25
Step-by-step explanation:
6.5^2
If a side of a square is 10 what the other sides will be
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
all sides are equal
A 12-inch candle burns at a rate of 2 inches per hour. What is the graph of the equation that models the height of the candle over time?
The candle burns at a rate of 1 inch per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
here, we have,
Given,
A 12-inch candle burns down in 12 hours.
∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,
= (12/12) inch/hr.
= 1 inch/hr,
Hence, The candle burns at a rate of 1 inch per hour.
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complete question:
A 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?
You get a job with a construction company. They pay you $18.25 per hour. If
you work 36 hours in a week, what is your straight-time pay?
A. $635
B. $657
C. $659
D. $661
E. $664
F. $669
Answer:
answer is B $657
Step-by-step explanation:
I guess I was help full for u
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Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5
Answer:15/28
Step-by-step explanation:
3/7 divided 4/5
3/7x5/4=15/28
Answer: 3/7 x 5/4
Step-by-step explanation: 3/7 ➗ 4/5 = 15/28
3/7 x 5/4 = 15/28
A golf ball is selected at random from a golf bag. If the golf bag contains 6 green balls, 5 red balls, and 9 brown balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. (Type an integer or a decimal rounded to three decimal places as needed.)
Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:
p = 11/20 = 0.55.
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1. Which set(s) of numbers does -87 belong to?
Find a perimeter of the bouncy castle find the area of the bouncy castle 2X squared minus 3X +7 times X squared +4
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x +7
The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:
Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22
Perimeter of castle = 6x² - 6x + 22
The area of the castle = length × breadth = x² + 4 × (2x² - 3x +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28
There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces
Answer:
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Step-by-step explanation:
As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case
P(2) = P(3) = P(4) = P(5) = 1 ÷ 6
And, P(6) = 0.2
As we know that
P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1
This results P(1) = 2 ÷ 15
So,
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Hence, the correct option is 2nd
helphelphelphelphelphelph
Answer:
first 2 are right and last is right, but 3 is 30 not 66
Step-by-step explanation:
Answer:
you got 1 and 2 and 4 right but 3 is 30
Step-by-step explanation:
3 is 30 because you have to multiply before you add due to pemdas
Solve for x: 4(x + 3) - 2 = 14
Answer:
X = 1
Step-by-step explanation:
4(x + 3) - 2 = 14
4x + 12 - 2 = 14
4x + 10 = 14
4x = 4
x = 1
Answer:
x = 1
Step-by-step explanation:
4(x+3) - 2 = 14
4x + 12 - 2 = 14
4x +10 = 14
4x = 14 - 10
4x = 4
x = 4/4
x = 1
Evaluate the expression if w=−2. |4w+3|
Answer:
5Step-by-step explanation:
[tex]|4w+3|\\w =-2\\[/tex]
Substitute ; w= -2 into the given equation
[tex]|4(-2)+3|\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\left|-4\cdot \:2+3\right|\\\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=\left|-8+3\right|\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+3=-5\\=\left|-5\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\[/tex]
please help me it is kinda easy
Step-by-step explanation:
this is your answer........
4/9(3/8x-27/16)=13/4
Answer:
x=24
Step-by-step explanation:
Anders has a total of 7 yards of ribbon. He cuts the ribbon into 4 pieces of equal length. What is the length, in yards, of each piece of
ribbon?
NY
Evaluate the function f(x) = 7x - 8 at the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
Answer:
Step-by-step explanation:
Given the function :
f(x) = 7x - 8
Evaluate the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
A.) f(7)
f(7) = 7(7) - 8
= 49 - 8
= 41
B.) f(x + 5)
7(x + 5) - 8
7x + 35 - 8
7x - 27
C.) f(-x)
7(-x) - 8
-7x - 8