Answer:
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how many $5 bills did Anthony receive?
Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
Translating the word problem into an algebraic equation;
For the total number of bills;
[tex] x + y = 47[/tex] .........equation 1
For the total number of tips;
[tex] x + 5y = 131[/tex] ..........equation 2
*Solving the linear equation by using the substitution method*
Making x the subject in equation 1:
[tex] x = 47 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] (47 - y) + 5y = 131 [/tex]
Simplifying the equation, we have;
[tex] 47 + 4y = 131 [/tex]
[tex] 4y = 131 - 47 [/tex]
[tex] 4y = 84 [/tex]
[tex] y = \frac {84}{4} [/tex]
y = 21 (For the $5 bills).
Therefore, Anthony received 21 pieces of the $5 bills.
To find x;
Substituting "y" into equation 3;
[tex] x = 47 - 21[/tex]
x = 26 (For the $1 bill).
Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60
Answer:
I believe the answer is D.
Step-by-step explanation:
22= jeans 8x= 8 dollars PER shirt
All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!
Answer:
[tex] 22 + 8x \le 60 [/tex]
Step-by-step explanation:
She has at most $60, so the amount she spends is less than or equal to $60.
[tex] amount~she~spends \le 60 [/tex]
The jeans cost $22.
The shirts cost $8 each, so for x shirts, she'll pay 8x.
The total amount she spends is 22 + 8x. It must be less than or equal to 60.
[tex] 22 + 8x \le 60 [/tex]
Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.
A(1) = 1,000 + 20+
Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
a is the correct not sure though
Answer:Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
How do you write 352 in expanded form
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2
Convert 5 2/7 to 7ths
(there’s the image if you’re confused.)
Answer:
37/7
Step-by-step explanation:
to get 37-
7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic
can yall please help me i need this now
Answer:
74
Step-by-step explanation:
Transversal t intersects lines a, b, c. Which lines are parallel. Prove your answer.
Answer:
A is parallel to c
A is not parallel to b
B is not parallel to c
Step-by-step explanation:
Answer:
a and c are parallel || means parallel
Step-by-step explanation:
Statement. | Reason
128*+52*=180| Same side exterior Angles
A||c. | Same side exterior Angles
138*=128*. |corresponding angles
B N o|| C | Corresponding Angles
52*+138*=180*|Corresponding angles
A n o|| B. | Corresponding Angles
Im from RSM
x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.
Answer:
x=3
Step-by-step explanation:
⇒
y
=
3
x
Explanation:
Direct proportionality is defined as:
y
=
α
x
where
α
is some constant that defines the proportionality.
Given
x
=
2
and
y
=
6
, we find:
y
=
α
x
6
=
α
(
2
)
3
=
α
So the relationship here is
y
=
3
x
someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Answer:
12.
Step-by-step explanation:
to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.
–1.0 ? |–4.4| Is it. Greater than. Less than or equal to
Answer:
Less Than
Step-by-step explanation:
Answer:
-1.0 is greater than -4.4
1. Kyle is using elimination to solve the system
below and will first add the equations together,
4x - 2y = 18
-3x + 2y = -11
Which of the following shows the sum of the
two equations?
a. 7X = 29
b. X=7
c. 7x = 7
d. X = -7
6th grade math plz help?
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.
Answer:
about 83%
Why:
1/3 + 1/2 = 0.83333333333
0.83333333333 as a percentage is 83.333333333%
Answer:
17%
Step-by-step explanation:
He completed 1/2 plus 1/3 of the painting.
The total he completed is
1/2 + 1/3 = 3/6 + 2/6 = 5/6
He needs to to 1 - 5/6 = 6/6 - 5/6 = 1/6 of the painting.
100% is the whole. He needs to do 1/6 of 100%.
1/6 * 100% = 100%/6 = 16.666...%
Answer: 17%
A percent is a blank of proportionality describing the blank of the blank please answer fast
Answer:
Constant
part
whole
Step-by-step explanation:
From the question, we want to fill in the gaps with the correct vocabulary
The correct wordings in this question is that;
A percent is a constant of proportionality describing the part of the whole
What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value
help me PLEASE I’m begging!!! ( question on photo
Answer:
4.050 cm
Step-by-step explanation:
Multiply 2.25 and 1.8, make sure to add the decimal point!
what does this even mean
Answer:
it means hide under your bed and stay thier. math scary
Step-by-step explanation:
Step-by-step explanation:
2x-7y=0 thats what the answer is
Solve for g: 6 - 2g = 12
Answer:
g = -3
Step-by-step explanation:
subtract 6 on both sides
-2g = 6
divide by -2
g = -3
Answer:
G=-3
Step-by-step explanation:
I have used an online algebra calculator to check my answer against and I got the answer g= -3 both times so I am 100% positive that the answer is correct.
PLEASE MARK BRAINLIEST
Correct answer will get brainiest!
Answer: x=24
Step-by-step explanation:
easy
Yeah I’m done with Brainly, they getting rid of my account now, have these points
Answer:
oh no! why
Step-by-step explanation:
can i have brainliest
also ty!
Answer:
you should talk to the moderator
Step-by-step explanation:
in a car race,for every mile convered by car A, car B covered 4 miles. the ratio of the number of miles convered by car A to the number of miles convered by car B is
Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?
g(x)=m(x+3)+b+4
s(x)=4/3x+b
t(x)=m(x−3)+b+4
h(x)=4/3mx+b
Function transformation involves changing the position of a function
The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
The function is given as:
[tex]\mathbf{y = mx +b}[/tex]
The ratio of the slopes of both segments is given as:
[tex]\mathbf{Ratio = \frac 43}[/tex]
Let the slope of the new segment be m2.
The slope of [tex]\mathbf{y = mx +b}[/tex] is m.
So, we have:
[tex]\mathbf{m_2 : m = \frac 43}[/tex]
Express as fractions
[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]
Multiply both sides by m
[tex]\mathbf{m_2 = \frac 43m}[/tex]
From the list of given options,
[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]
Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
Read more about function transformations at:
https://brainly.com/question/13810353
What is the next number after 2?
Answer:
1,2,3,4,5,6,7,8,9,10
Step-by-step explanation:
;) :)
solve for the variable x+9=12
Answer:
Step-by-step explanation:
subtract 9 from both sides
x=3
Answer: x = 3
Step-by-step explanation: x = 12 - 9
Which number is IRRATIONAL?
Answer:
I'm sure a and b is not irrational. But
Step-by-step explanation:
C and D can be
Use calculator, if the number is not repeating and non recurring, then that can be irrational
Four movie tickets cost $30.00. Five concert tickets cost $36.50. Do the
movies or the concert cost less per ticket? How much less?
Answer:
Movies: 30/4 = $7.50/ticket
Concerts: 36.50/5 = $7.30
Concert tickets are $.20 cheaper.
Answer:
Step-by-step explanation:
4 movies tickets are $7.50 per ticket and 5 concert tickets are $7.30 per ticket. The movie tickets are $0.20 more.
The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?
Answer:
Let's define:
A = # of students in group A
B = # of students in group B
C = # of students in group C.
"The total number of students who could attend a field trip is represented by the variable t."
This can be written as:
A + B + C = t.
"The number of students in Group A is less than the number in Group B."
Here we have a strictly "less than", then this is written as:
A < B.
"Group A has 6 students more than 1/4 the total number of students"
A = t/4 + 6
"Group B has 3 less than the total number of students"
B = t - 3.
Then we have the equations:
A + B + C = t.
A = t/4 + 6
B = t - 3.
A < B.
We could replace the second and third equatio in the fourth one, to get:
t/4 + 6 < t - 3.
t/4 + 9 < t
9 < t - t/4
9 < t*(4/4 - 1/4)
9 < t*(3/4)
(4/3)*9 < t
12 < t.
Then we found an inequality that defines the minimum possible value of t,
what is the y-intercept of (5,8) and (12,36)
Answer:
The y intercept is (0,-12)
Step-by-step explanation:
You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.
Answer:
(0, -12)
Step-by-step explanation:
In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.
To find the slope:
The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's plug (5,8) and (12,36) into the equation:
[tex]\frac{36 - 8}{12 - 5}[/tex]
Now let's solve for the slope:
36 -8 = 28
12 - 5 = 7
So we get: [tex]\frac{28}{7}[/tex]
Now that we've found the value of the slope, we can put it into the equation:
y = [tex]\frac{28}{7}[/tex]x + b
To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):
Input the values of x and y into the equation: 8 = [tex]\frac{28}{7}[/tex](5) + b
Multiple [tex]\frac{28}{7}[/tex] by 5: 8 = [tex]\frac{140}{7}[/tex] + b
Divide 140 by 7: 8 = 20 + b
Subtract 20 from both sides of the equation to isolate b:
8 - 20 = 20 - 20 + b
-12 = b
The y-intercept is (0, -12).
⚠️WILL GIVE BRAINLIEST⚠️
Answer:
slope is m= -2slope is m= 4Step-by-step explanation:
Write the polynomial form given the leading coefficient
and the zeros of the function.
1. Leading coefficient: -1; roots: 1, 1+73, 1 - 3
someone help please
Answer:
For a polynomial of any degree, with roots x₁, x₂, ...., xₙ and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we have:
Leading coefficient = -1
Roots : 1, 1 + 73, 1 - 3
Then the polynomial will be:
p(x) = -1*(x - 1)*(x - (1 + 73))*(x - (1 - 3))
= -1*(x - 1)*(x - 74)*(x + 2)
Now, if the roots are:
1, 1 + 73*i, 1 - 3*i
then:
p(x) = -1*(x - 1)*(x - 1 - 73*i)*(x - 1 + 3*i)
please answer this question as fast as possible
Answer:
25kg
Step-by-step explanation:
x = 100%
x = 140kg
x1 = 100% - 35% = 65%
x1 = 140kg × 0.65 = 91kg
x2 = 91kg - 26kg = 65kg
x3 = 65kg × 2/5 = 130kg/5 = 25kg
The top view of a school bus showing the arrangement of the passenger seats is shown below: which of the following is the correct way of counting the total number of passenger seats in the bus
The correct way of counting the total number of passenger seats in this bus is: option C: 5 × 12 + 6.
What is an expression?An expression refers to a mathematical equation which is used to show the relationship that exist between two or more numerical quantities.
How to calculate the total number of passenger seats?In order to determine the total number of passenger seats, we would develop an expression that multiplies the rows by the columns and then add the remaining seats as follows:
Total number = (5 × 12) + 6
Total number = 60 + 6
Total number = 66 seats.
Read more on expressions here: brainly.com/question/12189823
#SPJ1
Complete Question:
The top view of a school bus showing the arrangement of the passenger seats is shown below. Which of the following is the correct way of counting the total number of passenger seats in the bus? An explanation is required.
Option A: 3 + 2 × 12 + 6
Option B: 6 - 1 × 13 + 1
Option C: 5 × 12 + 6
Option D: 2 + 3 × 13 - 12