Answer:
The first friend has 40 coins.
Step-by-step explanation:
The statement says that the two friend have a total of 60 coins, which can be expressed as:
x+y=60 (1), where:
x is the first friend
y is the second friend
Also, the statement says that if the first friend gives 1/4 of his coins to the second friend, they will have an equal number of coins which means that if you subtract 1/4 of the coins the first friend has this would be equal to the number of coins the second friend has now, which is:
x-1/4x=y+1/4x
x-1/4x-1/4x=y
y=x-2/4x
y=x-1/2x (2)
Next, you have replace (2) in (1) and solve for x:
x+x-1/2x=60
2x-1/2x=60
3/2x=60
x=60/(3/2)
x=(60*2)/(1*3)
x=120/3
x=40
Finally, you can replace the value of x in (2) in order to find the value of y:
y=40-1/2(40)
y=40-(20)
y=20
According to this, the answer is that the first friend has 40 coins.
What is the area of this face?
Answer:
Hello! answer: 180
Step-by-step explanation:
what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...
72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!
What is the probability of getting a heads on a coin and then getting a 5 on a number cube?
Answer:
In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.
For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]
A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]
A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).
Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]
Answer:
1/12 or 0.0833333333
Step-by-step explanation:
0.5 probability of getting heads
1/6 probability of getting a 5
1/6 * 1/2 = 1/12
Need help will give thanks or brainliest
Step-by-step explanation:
success
................
Answer:
6 cm
Step-by-step explanation:
Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.
Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.
So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).
Please help
Which line is perpendicular to 4y+3x=12?
A)3x+4y=8
B)y=-3x+8
C)y+4x=-3
D)8x-6y=18
Answer:
D) 8x - 6y = 18
Step-by-step explanation:
The general equation of a line is;
y = mx + c
m is the slope and c is the y-intercept
so for;
4y + 3x = 12
4y = -3x + 12
divide through by 4
y = -3/4x + 3
the slope here is -3/4
To get the other line, we divide -1 by the slope of the first line
This is because when two lines are perpendicular, the product of their slopes is -1
So the slope of the line we are looking for is -1 divide by -3/4 = 4/3
Let us take a look at option D
8x - 6y = 18
6y = 8x - 18
divide through by 2
3y = 4x - 9
divide through by 3
y = 4/3(x) - 3
So as we can see, we have our slope as 4/3 and this option is our answer
Plz help I’ll give u brainliest
Answer:
9
Step-by-step explanation:
All you have to do is subtract the temperatures once you get the final answer for them.
4 days, -7°C, = 43°C
5 days, -6°C, = 34°C
43 - 34 = 9
9°C = 9
~ LadyBrain
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
If a1=10 and an+1=-5an-1 then find the value of a4
Please explain!
Answer:
[tex]a_4=-1271[/tex]
Step-by-step explanation:
We are given that:
[tex]a_1=10[/tex]
And:
[tex]a_{n+1}=-5a_n-1[/tex]
And we want to find:
[tex]a_4[/tex]
This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:
[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]
Thus, a₃ will be:
[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]
Finally, a₄ will be:
[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]
need help finding area
Answer:
93.53
Step-by-step explanation:
Can I have the slope and y intercept for 2y - 4x - 10 =0
Answer:
Slope = 2, Y-intercept = (0, 5)
Step-by-step explanation:
First, isolate y by moving all other terms to the other side of the equation.
2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5
The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.
Therefore, the slope is 2 and the y-intercept is (0, 5).
Answer:
slope=2 ,y-intercept=5
Step-by-step explanation:
2y-4x-10=0
2y=4x+10+0
2y=4x+10 . divide both sides by 2
y=2x+5
How do I find the x? What the answer
Answer:
The height of the square pyramid is 9.8 in.
Step-by-step explanation:
Given;
area of the square pyramid, A = 96 in²
base length, a = 4 in
height of the pyramid, h = x in
The surface area of the pyramid is calculated as follows;
[tex]SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in[/tex]
Therefore, the height of the square pyramid is 9.8 in.
help me, the question is down below
Answer:
C
Step-by-step explanation:
6.3/3 = 2.1
12.6/6 = 2.1
18.9/9 = 2.1
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5
The graph of (1) Is shown. Which graph represents g(x) = S(2x)?
need help asap don’t have much time
Answer:
1. Linear pair
2. Adjacent
3. Complementary
4. Adjacent
Step-by-step explanation:
Problem 1:
Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.
Problem 2:
Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.
Problem 3:
Angle a + angle b = 90°
Therefore, they are COMPLEMENTARY angles.
Problem 4:
angles a and b share the same side and a common vertex. They are ADJACENT angles.
HOW TO DO THIS QUESTION
Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
[tex]\frac{1}{2}[/tex] × 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
9514 1404 393
Answer:
64.2 cm²
Step-by-step explanation:
The length AC is found from ...
Area of ACD = (1/2)(AC)(CD)
80.5 cm² = (1/2)(AC)(14 cm)
AC = 80.5 cm²/(7 cm) ≈ 11.5 cm
__
The area of ∆ABC is ...
Area ABC = (1/2)(CB)(CA)sin(C)
= (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²
PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.
710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo
Answer: I got answers A, B and E
Step-by-step explanation:
The correct three statements are supported by Joseph's data are as follows;
Joseph should plan for around 560 students at each dance based on the data.
The dances will be attended by around 700 of the students that attend the school.
Out of the 800 students, 288 do not like to attend dances after the football games.
What is the data set?A data set is a collection of numbers or values that relate to a particular subject.
Joseph attends a school that has 800 students. He is in charge of school dances this year.
He surveyed a random sample of 100 students and got the following feedback.
7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.1. Here 7/10 of the students would attend any of the dances held at the school.
[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]
Joseph should plan for around 560 students at each dance based on the data.
2. 18% of the students are not allowed to attend dances at school.
[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]
The dances will be attended by around 700 of the students that attend the school.
3. 64% of the students think that the dances should be held after football games.
[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]
Out of the 800 students, 288 do not like to attend dances after the football games.
Learn more about data set here;
https://brainly.com/question/15128975
#SPJ2
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
Find the lateral area and surface area of a cone with a radius of 12 and a height of 21
Answer:
The Lateral Surface Area is 911.32 square unit and
Total Surface Area is 1361.7 square unit.
Step-by-step explanation:
For a given Cone
Radius (r) = 12
Height (h) = 21
For Lateral Surface Area
Formula:A = πr√r² + h²
A = 3.14 × 12 × √(12)² + (21)²
A = 3.14 × 12 × √144 + 441
A = 3.14 × 12 × √585
A = 37.68 × 24.18
A = 911.32 square unit
Now,
For Total Surface Area
Formula:A = πrl + πr²
For Slant height (l)
l² = r² + h²
l² = (12)² + (21)²
l² = 144 + 441
l² = 585
l = 24.18
So,
A = πrl + πr²
A = πr(l + r)
A = 3.14 × 12 × (24.14 + 12)
A = 3.14 × 12 × 36.14
A = 1361.7 square unit
Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.
-TheUnknownScientist
Step-by-step explanation:
Hope it's helpful to you dear frnd ☺️
YALL PLEASE PLEASE DIS A TEST!!
Circle T has a center at the origin and passes through Point P (-3 2).
1. Graph Circle T on a coordinate plane.
2. Choose a method for solving for the length of the radius. In complete sentence, explain the steps necessary to find the length. In your explanation, be sure to include your numerical answer for the radius.
3. Write the equation of Circle T.
Answer: The answer is 1,853 <3
Step-by-step explanation:
If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
Use the drop-down menus below to state the sequence of transformations that maps
Figure V onto Figure W in the animation below. Then use those transformations to
determine: are the two figures congruent? Use the drop-down menus to explain why
or why not.
Answer:
nonrigid and segement lengths
Step-by-step explanation:
A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2)
What is the solution to the system of linear equations?
(–3, 0)
(–3, 3)
(0, 2)
(3, 1)
Answer:
(0, 2)
Step-by-step explanation:
the answer is (0, 2)
how to right a number in standerd form
Answer:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
Step-by-step explanation:
please mark this answer as brainliest
A. 1/36
B. 1/18
C. 1/3
D. 1/6
Answer:
C
because it looks right
Answer:
1/36
Step-by-step explanation:
On the first cube, there is a 1/6 probability to roll a 1. On the second cube, theres is a 1/6 probability to roll a 6
Multiply the two fractions and it would equal 1/36
There would be a 1/36 probability.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
For the first week of January, Kim Walker worked 45.25 hours. Kim earns 10.90 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Answer:
Gross pay when she works 46 hours a week = 532 dollars per week
Step-by-step explanation:
Complete question
Find gross pay when she works 46 hours a week
Solution
For working hours less than or equal to 40 hours, kim earns 10.90 per hour
For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour
Gross pay for 46 working hours = 40 *10.90 + 6*16 = 532 dollars per week
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
[tex]V=2143.57\ mm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]
So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].