Step-by-step explanation:
The probability that either Jack or Jill will be selected on the first draw is 2/30.
The probability that the other person will be selected on the second draw is 1/29.
The probability of both events is (2/30) (1/29), which simplifies to 1/435.
In a local town, 54,000 families have incomes less than $25,000 per year. This number of families is 60% of the families that had this income level 12 years ago. What was the number of families who had incomes less than 25,000 per year 12 years ago
Answer: 90,000
Step-by-step explanation:
From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.
To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:
Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.
Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:
60% of x = 54,000
60/100 × x = 54,000
0.6 × x = 54,000
0.6x = 54,000
Divide by 0.6
0.6x/0.6 = 54000/0.6
x = 90,000
The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.
Find the width of a rectangle if the diagonal is 19 and the length is 16
Answer:
≈10.25
Step-by-step explanation:
use the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, the diagonal, or the longest side of the triangle
a = 16
b = ?
c = 19
(16)² + b² = (19)²
256 + b² = 361
b² = 105
b = √105 ≈ 10.25
after allowing 20%discount on the m.p of a mobile,15% vat was levied and sold it.If the differences between selling price with vat and selling price after discount is rs.1800,find the marked price of the mobile
Answer:
Market price = Rs. 15,000
Step-by-step explanation:
Let Market price = x
discount = 20% of x
= 0.20 *x = 0.2x
Selling price after discount = x - 0.2x = 0.8x
Value added tax = 15% of 0.8x
= 0.15 * 0.8x
= 0.12x
Selling price with VAT = 0.8x + 0.12x = 0.92x
Differences between SP with vat and SP after discount = rs.1800
0.92x - 0.8x = 1800
0.12 x = 1800
x = 1800/0.12
x = Rs. 15,000
Type the correct answer in each box. If necessary, use / for the fraction bar. Complete the statements about series A and B. Series A: 10+4+8/5+16/25+32/125+⋯ Series B: 15+3/5+9/5+27/5+81/5+⋯ Series__ has an r value of___where 0<|r|<1. So, we can find the sum of the series. The sum of the series is___ need help guys please :/
Answer:
Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3
Step-by-step explanation:
A geometric sequence is in the form a, ar, ar², ar³, . . .
Where a is the first term and r is the common ratio = [tex]\frac{a_{n+1}}{a_n}[/tex]
For series A: 10+4+8/5+16/25+32/125+⋯ The common ratio r is given as:
[tex]r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}[/tex]
For series B: 1/5+3/5+9/5+27/5+81/5+⋯ The common ratio r is given as:
[tex]r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3[/tex]
For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:
[tex]S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} } =\frac{50}{3}[/tex]
I REALLY NEED HELP PLZZZ. I WILL MARK YOU AS THE BRAINLIEST ANSWER IF U GIVE A GOOD RESPONSE TO THE QUESTIONS!!!!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
It looks lilke one of those old'n day Juice makers
2, 3 , and 4 would be the part im talking about.
You can write : I seleted the story called Old In Day Juice Makers
( I don't know about the paragraph, sorry)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
which geometric solid is formed by rotating the rectangle about line m?
Answer:
rectangular prism
Step-by-step explanation:
check by rotating the shape in images
HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1) A'(8, -10)
B'(10, -8)
C'(2, -4)
2) A''(8, -4)
B''(10, -6)
C''(10, -10)
Step-by-step explanation:
1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;
The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)
The coordinates of the point A(8, 8) will be A'(8, -10)
The coordinate of the point B(10, 6) will be B'(10, -8)
2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;
The coordinates of the point A'(8, -10) will be A''(8, -4)
The coordinate of the point B'(10, -8) will be B''(10, -6)
The coordinate of the point C'(2, -4)will be C''(10, -10)
Which gives, a total translation of -12 units down as follows;
A''(8, -4) - A(8, 8) = (0, -12)
B(10, 6) - B''(10, -6) = (0, -12)
C(2, 2) - C''(10, -10) = (0, -12).
Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The ends of the wire coincide with ends of the same cylindrical element. Find the length of the wire. (a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Answer:
b) 36 inches
Step-by-step explanation:
Length of the wire = Outside circumference of the cylindrical tube * length of the cylinder
= 4 * 9
= 36 inches
Length of the wire will be same to the surface area of the cylinder
Surface area of cylinder = circumference * length
At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?
Answer:
The board game store
Step-by-step explanation:
Just divide the store price by 4 and online by 5
Answer:
Toy store
Step-by-step explanation:
Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.
price/board games
Toy Store
price/board games
The toy store sells 4 board games for $25.84
$25.84 / 4 board games
25.84/5
6.46
Online Store
price/ board games
The online store sells 5 board games for $32.15
$32.15 / 5 board games
32.15/5
6.43
At the toy store, a board game costs $6.46. Online, it costs $6.43.
6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.
Each square in the grid is a unit square with an area of 1 square unit.
What is the area of the figure?
square units
Answer:
6 square units
Step-by-step explanation:
Simply count the number of squares:
There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.
Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles. How many miles did Mike run? LAST ONE LOL
Answer:
15.5mi
Step-by-step explanation:
S refers to the distance covered
Given:
Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles.
Required:
How many miles did Mike run=?
Formula:
40.5mi-S(Perry)=S(Mike)
Solution:
40.5mi-S(Perry)=S(Mike)
40.5mi-24.9mi=S(Mike)
15.6mi=S(Mike)
Hope this helps.
Answer:
15.6 miles
Step-by-step explanation:
40.5 mi - 24.9 = 15.6 mi
Mike ran 15.6 miles
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3
Answer:
V = 15 pi m^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 5
V = 1/3 pi ( 3)^2 *5
V = 15 pi m^3
Answer:
15 pi m3
Step-by-step explanation:
can someone help me fill out this chart
Answer:
is there a y part of this equation?
Step-by-step explanation:
This is really confusing I need help with this.
Answer:
Step-by-step explanation:
can you at least telllus what is in the drop box
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)
Answer:
x=3.00 or x= 8.00
Explanation:
Let us denote side of the cut-out square as x inches
Then base of box = 16-2x by 6-2x
The volume = V = (16-2x)(6-2x)
= 96-3x-12x+4x
dV/dx = 96-44x+4x^2
= 0 for a max V
divide by 4
X^2 -11x +24=0
Using quadratic formula to solve the equation
X= (11± √11^2-(4×1×24)/2
(11± √25)/2
x= 3 or 8inches
From the equation of volume = V = x(16-2x)(6-2x)
Substitute
let x = 3 , V = 3(16-6)(6-6) = 0
let x = 8 , V = 8(16-16)(6-16) = 0
Therefore, the maximum volume exist at both point x=3 or x= 8
help me please, explanation not necessary but would be appreciated
Answer:
55°
Step-by-step explanation:
The following data were obtained from the diagram given above:
Adjacent = 4
Hypothenus = 7
Angle A =?
The value of angle A can be obtained as follow:
Cos A = Adjacent / Hypothenus
Cos A = 4/7
Take the inverse of Cos.
A = Cos¯¹(4/7)
A = 55.1° ≈ 55°
Therefore, the value of angle A is approximately 55°.
To find the number of units that gives break-even for the product, solve the equation R C. Round your answer to the nearest whole unit A manufacturer has total revenue given by the function R = 90x and has total cost given by C 35x + 17,000, where x is the number of units produced and sold. A, 55 units
B. 125 units
C. 136 units
D. 309 units
Answer:
The correct answer is D.
Step-by-step explanation:
Giving the following information:
R = 90x
Total cost= 35x + 17,000
x= is the number of units produced and sold
Now, we know that:
Unitary variable cost= 35
Fixed costs= 17,000
Selling price per unit= 90
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 17,000 / (90 - 35)
Break-even point in units= 309 units
Find the value.
9x+6 when x=-2/3
Answer:
0Step-by-step explanation:
Given,
[tex] - \frac{2}{3} [/tex]
Now, let's find the value of 9x + 6
[tex]9x + 6[/tex]
plug the value of X
[tex] = 9 \times (- \frac{2}{3} ) + 6[/tex]
Multiplying a positive and negative equals a negative
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex] = - 9 \times \frac{2}{3} + 6[/tex]
Reduce the number with Greatest Common Factor 3
[tex] = - 3 \times 2 + 6[/tex]
Multiply the numbers
[tex] = - 6 + 6[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!
I need the answers to B and C please and thank you! :)
Answer:
2/9 and 4/9
Step-by-step explanation:
There are 3 * 3 = 9 possible outcomes of spinning the spinners. Out of those, there are only 2 ways to achieve a product of 6 (2 and 3 or 6 and 1) so the answer to B is 2/9. For C, there are 4 ways for the total to be greater than 10 (12, 18, 20, 30) so the answer is 4/9.
Answer:
b=2/9
c=4/9
Step-by-step explanation:
b: 2/3(there are two options you can land on that have a pair that multiplies to six)*1/3(each only has one pair)= 2/9
c: 2/3(6 or 4)*2/3(3 or 5) =4/9
The variables m and n are inversely correlated. When m = 22, n = 51. What is m when n = 6?
Answer:
m = 187
Step-by-step explanation:
Given m and n are inversely correlated then the equation relating them is
m = [tex]\frac{k}{n}[/tex] ← k is a constant
To find k use the condition when m = 22, n = 51
22 = [tex]\frac{k}{51}[/tex] ( multiply both sides by 51 )
1122 = k
m = [tex]\frac{1122}{n}[/tex] ← equation of correlation
When n = 6, then
m = [tex]\frac{1122}{6}[/tex] = 187
The value of m will be equal to 187 when both the numbers are an inverse function of each other.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that m and n are inversely correlated then the equation relating them is
m = K / n ← k is a constant
To find k use the condition when m = 22, n = 51
22 = k / 51 ( multiply both sides by 51 )
1122 = k
m = 1122 / n ← equation of correlation
When n = 6, then
m = 1122 / 6 = 187
Therefore, the value of m will be equal to 187 when both the numbers are an inverse function of each other.
To know more about expression follow
https://brainly.com/question/723406
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Simplify the expression.
–6.5(–4.9)
Answer:
31.85
Step-by-step explanation:
Hey there!
Well to simplify the given expression we do,
-6.5 * -4.9
= 31.85
Hope this helps :)
Any fake answers will get reported but if u do good u get brainliest:) ----------------------------------- Fred's coffee shop sells two blends of beans at the following prices. a) House Blend ($3.50/lb) b) Exotic Blend ($4.00/lb). House blend is 1/2 Costa Rican beans and 1/2 Ethiopian beans. Exotic blend is 1/4 Costa Rican beans and 3/4 Ethiopian beans. Every day Fred receives 200 lbs of Costa Rican Beans and 330 lbs of Ethiopian beans. What are the common sense constraints? ------ ---------------------------------- x or = 530 ---- x > or = 0, and y > or = 0
Since he needs beans to sell. The common sense constraints would be that both x and y need to be equal to or greater than 0, otherwise he wouldn’t have anything to sell.
The answer is the last choice
Answer:
x>=0, and
y>=0
Step-by-step explanation:
Let
x = pounds of house blend he sells/makes every day
y = pounds of exoted blend he makes/sells every day
constraint for costa rican beans
x/2 + y/4 <= 200 ...............(1)
constraint for Ethiopian beans
x/2 + 3y/4 <=330..................(2)
Total weight per day
x+y <= 200+330 = 530............(3)
common sense constraints, cannot have negative weight for coffee
x>=0, and
y>=0
Please help. I will give out brainliest
Answer:
the table is correct
the graph will look like:
T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
Y Intercept: It was 3C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm
Step-by-step explanation:
Features matching the correct statements are:
y intercept: It was ₋3°C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.
What is the temperature graph over time?
The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.
we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.
So we see when lowercase t when time is zero(0), zero hours after midnight the temperature in the New York city is negative 3°C(₋3°C) so it was ₋3°C at the beginning of the day since the true beginning of the day is right at midnight. Hence y intercept tells us that it was ₋3°C at the beginning of the day. Then about the positive or negative interval we can notice from the graph that we have a negative interval from time equals zero to time equals eight which means the temperature is negative as it goes below zero and from 8 am to 8 pm we can see that the temperature goes positive and then it dips down to negative again. So a positive or negative interval tells us about when the temperature was above xero between 8 am and 8 pm.The increasing and decreasing interval, here we see that the function is increasing as t increases so does the temperature, all the way to 2 pm. Hence, we are just using the increasing interval to match the statement that it was getting warmer between 2 am and 2 pm.Hence we get the statements match to their features.
Learn more about"temperature problems" here-
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I need you to answer ASAP
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equatic
It is (189)
It is (9, 18)
There are infinitely many solutions
There is no solution
Answer:
infinitely many solutions
Step-by-step explanation:
2x + 2y = 18
x + y = 9
multiply Line M equation by -2 to eliminate at least one variable:
2x + 2y = 18
-2x - 2y = -18
use elimination:
2x + 2y = 18
-2x - 2y = -18
__________
0 + 0 = 0
since this statement is true, there are infinitely many solutions.
Someone pls help if you want more points just go to my other questions and answer them pls
Answer:
I would say the answer is C.
30 POINTS!! Given triangle ABC shown below, which graph shows the transformation (x-2, y+4)?
Answer:
Its C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Take point A at ( 4,-1)
We are shifting down 2 and to the right 4
(4-2, -1+4) becomes ( 2,3)
Choice C has A' at ( 2,3)
Please answer this question now
Answer:
[tex]\boxed{u = 6.0}[/tex]
Step-by-step explanation:
Using the cosine rule
[tex]c^2= a^2+b^2-2abCosC[/tex]
Here c = u , a = 11 , b = 12 and C = 30
[tex]u^2 = 11^2+12^2-2(11)(12)\ Cos 30\\u^2 = 121+144-2(132)(0.866)\\u^2 = 265-228.6\\u^2 = 36.37[/tex]
Taking sqrt on both sides
u = 6.0 (To nearest tenth)
what are the like terms??? 5x2+3x-10+7x2-8x+11 PLEASE HELP!!!! ASAP!!!!
Answer:
5x² and 7x² are like terms because they contain x².
3x and 8x are like terms because they contain x.
10 and 11 are like terms because they are constants.
Step-by-step explanation:
Let's recall that the definition of like terms is that they are terms that contain the same variables raised to the same power and only like terms can be combined.
Upon saying that, we have:
5x² and 7x² are like terms because they contain x²
3x and 8x are like terms because they contain x
10 and 11 are like terms because they are constants.
hello:) i think that AB is longer than DC but I’m not sure if it’s correct :/ anyone able to help ? thank you!
============================================
Explanation:
OM and ON are not equal in length, so the chords AB and CD are not the same length. The chords would need to be equally distant from the center for the chords to be equal.
The further a chord gets from the center, the smaller the chord gets. This is because the diameter is the largest chord possible and its distance from the center is 0 units. Increase that distance and the chord will shrink until it reaches 0 units in length.
You are correct in stating that AB is longer than DC because AB is closer to the center (or that OM is smaller than ON).