Answer:
I believe its 313$
Step-by-step explanation:
John originally have $1,118 in his savings account.
Here,
We have to find the original savings account of John.
What is Number system?
A system of writing to express numbers is called Number system.
Now,
Let us assume amount of money John originally have in his savings account = $x
Money spent on a radio = $108
Remaining money = x - 108
Money spent on presents for his friends = Two third of remaining money = 5/9 (x - 108).
(Because 1 - 5/9 = 1/1 - 5/9 = 4/9)
Remaining money = 4/9 (x - 108).
Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)
( because 1 - 5/6 = 1/1 -5/6 = 1/6)
Remaining money = 1/6 *4/9 (x - 108).
Final remaining money = 1/6 *4/9 (x - 108)
And that is equal to the money donated to charity.
We can setup an equation now.
1/6 *4/9 (x - 108) = 80
4(x - 108) = 80 * 9 *6
x - 108 = 20 * 54
x = 1080 + 108
x = 1,188
Therefore, John originally have $1,118 in his savings account.
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There are six professors teaching the introductory discrete mathematics class at a university. The same final exam is given by all six professors. If the lowest possible score on the final is 0 and the highest possible score is 100, how many students must there be to guarantee that there are two students with the same professor who earned the same final examination score
Answer:
607 students
Step-by-step explanation:
To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.
Now, let's find the number of boxes and objects:
If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.
Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,
The number of students would have to be = 101 + 1 = 102 students
Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.
Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607
please help lolllllll
need help!! I don't know how to solve theseeeeeeeeeeeeeeeeeeeeeeeeeeee.
Some one please help me find the slope of this line Thanks!
Answer:
1/2
Step-by-step explanation:
The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
Multiply any number with their denominator
0/1×20=0/20
1/1×20= 20/20
Now,
3/20,5/20,6/20,15/20,18/20.....
A and b are positive integers and a-b=2. Evaluate the following: 4^1/2 / 2^b
1/5 x 3/8 x (-5) as a fraction in simplest form
Answer:
-3/8
Step-by-step explanation:
nothing can be simplified further
Which of the following is larfest 15% 0.153 1/7 1/12
Tuesday is... 45 and Wednesday is...35
Answer:
Huh? Then Thursday will be 25, Friday 15 & Saturday 5 ~~~
Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)
Answer:
{a,b,c,d,f,3,4,5,7}
Step-by-step explanation:
If X={a,b,c,3,4,5}
Y={b,d,f,3,5,7}
THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}
XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.
What is a set?A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.
The sets are given in the question, as follows:
X = {a,b,c,3,4,5}
Y = {b,d,f,3,5,7}
We have to determine the members of the set XUY, using set braces.
As per the question, the required solution would be as:
XUY = {a, b, c, d, f, 3, 4, 5, 7}
XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.
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What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?
Answer:
10 inches
Step-by-step explanation:
r=(3V
4π)⅓=(3·4186
4·π)⅓≈9.99778in
What is the measure of angle XYZ?
Answer:
D
Step-by-step explanation:
D
[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]
PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?
3
-21
8
х
10
N
3
-1
-7
-4
-3
-1
.
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
[tex]-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right][/tex]
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."
Possible answers
Side angle side (SAS)
Angel side angle (ASA)
Hypotenuse leg (HL)
Not possible
Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
Is this true or false?
Answer:
TRUE
Step-by-step explanation:
Please tell me please
Answer: 35%
Step-by-step explanation:
20 bars
7 unshaded - not installed
7/20 = 0.35 = 35%
Which expression is equivalent to this: "3 multiplied by z"?
Answer:
3z
Step-by-step explanation:
When you write a number followed by a variable with no operation in between them, it means multiplication.
3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.
what is the least common denominator of 1/2, 2/3, and 3/8
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
For the least common denominator, we have to find the smallest number that all fo them multiply to.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
8, 16, 24, 32
i think we can see something
24 is the most common number between them all, so the fractions will be
12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 500x + 5000
Step-by-step explanation:
Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
200(1.10^1)
Step-by-step explanation:
Katie made 2 gallons of lemonade for the party. Which expression can
be used to find the number of cups
Katie made?
Answer:
In one gallon, there are four quarts. 1 quart is 0.5 pints. 1 cup is 0.25 quartz
Step-by-Step:
Use those measurements to convert gallons into cups and find your expression.
14. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
32
19
5
9514 1404 393
Answer:
11.9
Step-by-step explanation:
The tangent relation tells you ...
tan(32°) = x/19
x = 19·tan(32°)
x ≈ 11.9
I really need help!!!
If the lengths of two sides of a triangle are 3 and 4, which could be the length of the third side?
Answer: It’s 5 if it’s the two legs
Step-by-step explanation:
Use the Pythagorean Theorem
does 14, 19, 26 make a right triangle
Answer:
no one of them has to be 90 degrees
Step-by-step explanation:
Answer:
no it doesnt
Step-by-step explanation:
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
PLEASE HELP!!!!!!!! GIVING BRAINLIEST, FIVE STAR RATING, AND A SHOUTOUT FOR MY NEXT QUESTION.
errrr.... the shoutout for this one is for purpl!
Answer:
the answer is 12 inches long
Evaluate the function h(x)=−2x+10 when x=3.
Answer:
h(x)=4
Step-by-step explanation:
h(x)=−2x+10
h(x)=−2(3)+10
=-6+10
=4
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
y= -1/4x
Step-by-step explanation:
Answer:
Step-by-step explanation:
y= -1/4x
Find the difference. Write your answer in the simplest form. 7/10 -1/4
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Answer:
7/40 So sorry if I'm wrong!
Step-by-step explanation: