Answer:
A. [tex]\frac{rs-t}{2}[/tex]
Step-by-step explanation:
Given the expression [tex]s = \frac{2x+t}{r}[/tex] isolate [tex]x[/tex]
The first step is multiply both sides by [tex]r[/tex] then you have
[tex]sr = 2x + t[/tex]
know substract both sides by [tex]t[/tex]
[tex]sr - t = 2x[/tex]
The last step is multiply by [tex]\frac{1}{2}[/tex] both sides of the equation and get the answer
[tex]\frac{sr - t }{2} = x[/tex]
IN A CLASS OF 60 STUDENTS, 25 PLAYS BASKETBALL, 2O PLAY VOLLEYBALL, AND 10 STUDENTS PLAY BOTH OF THEM. HOW MANY STUDENTS PLAY NEITHER BASKETBALL NOR VOLLEYBALL?
Answer:
25
Step-by-step explanation:
We'll compare it with the study of sets, the most noticeable operation of which is:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)where,
n(A ∪ B) is the Union Set, i. e, the set that contains all the elements
n(A) is a subset of the Union Set
n(B) is another subset of the Union Set, and
n(A ∩ B) is the Intersection Set ,i.e, the set contains common elements from both A and B sets.
In the question:n(A ∪ B) = ? (the total number of students in the class who are into the above mentioned sports)Let set A contains the students who play basketball and set B, the students who play Volleyball.
n(A) = 25n(B) = 2010 students play both of them, i. e.,
n(A ∩ B) = 10 (as 10 students have common sports - Volleyball and Basketball)Using the above operation:
=> n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
=> n(A ∪ B) = 25 + 20 - 10
=> n(A ∪ B) = 35
Final Step to the Answer:The total number of students in the class
= students into the given sports + students who don't play any of them
Total number of students in the class is 60Total number fo students playing basketball and volleyball is 35The students who play neither = 60 - 35
= 25
help me solve x in this picture please, thank you
Answer:
x=17.
Step-by-step explanation:
1) the unknown inside third angle of the triangle is: 180-(8x-11);
2) the sum of all the angles in the triange is 180, it can be written:
180-(8x-11)+5x+(2x+6)=180;
3) the required value of x is: 17
what are the Advantages of using Java libraries to perform mathematical functions
Java libraries are built-in functions that contain several classes.
Some advantages of using Java mathematical libraries are:
The mathematical libraries are always portableThey are efficient.They save timeThey have been optimized to perform effectivelyThere are various other advantages of the Java mathematical libraries.
Some examples of the Java mathematical libraries and their usage are:
Math.sqrt(), used to calculate the positive square root of a number. Math.cbrt(), used to calculate the cube root of a number. Math.pow(), used to calculate the raise to power of a number.Read more about Java mathematical libraries at:
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Costas and Sheila bought a raffle ticket for a charity. The grand prize is $1000.00. Costas contributed $3.50 and Sheila contributed $1.50 to the price of the ticket. If they win the grand prize, they will share the money in the same proportion that they paid for the ticket. How much of the money should each person receive?
costas get 70 and Sheila gets 30
Please please help please help me please please help me
Answer:
[tex]y=\frac{3}{4} x+\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the given points are (5;4) and (-3;-2), then it is possible to make up the required equation:
2) [tex]\frac{x+3}{5+3} =\frac{y+2}{4+2};[/tex]
[tex]\frac{x+3}{4} =\frac{y+2}{3}; \ => \ y=\frac{3}{4} x+\frac{1}{4} .[/tex]
note, the suggested solution is not the only one way.
PLEASE HELP ME !!!!!!!!
Answer:
6
Step-by-step explanation:
dr.loube, a chemist, mixes two solutions. one is 24% acid ( the rest is water) and the other is 41% acid. about how much of each solution does she need to produce 50 gallons of a solution that is 31% acid?
Using a system of equations, the amount of solution a and b required to make the required gallons of the solution are 29.41 and 20.59 respectively.
Let :
Solution with 24% acid = a Solution with 41% acid = ba + b = 50 - - - - (1)
0.24a + 0.41b = 50 × 0.31
0.24a + 0.41b = 15.5 - - - - (2)
From (1) :
a = 50 - b - - - - (3)
Substituting (3) into (2)
0.24(50 - b) + 0.41b = 15.5
12 - 0.24b + 0.41b = 15.5
0.17b = 15.5 - 12
0.17b = 3.5
b = 20.588
From (3) :
a = 50 - 20.588
a = 29.412
Therefore, about 29.41 gallons of solution a and 20.59 gallons of solution b is required.
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plz help me plzzzzz asap
Answer:
2 [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
First, we will turn 5 2/5 into an improper fraction:
5 * 5 = 25 + 2 = 27/5
So they worked for 27/5 days.
We want to divide the days worked by the distance to get the unit rate of distance per day:
[tex]\frac{12}{\frac{27}{5} } = \frac{12}{1} * \frac{5}{27}=\frac{60}{27}=\frac{20}{9}[/tex]
So our answer is 2 [tex]\frac{2}{9}[/tex]
Hope this helps, have a great day! :D
(02.05 MC) Two similar triangles are shown on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle PQR is shown with vertex P on ordered pair negative 4, 2, vertex Q on ordered pair 0, 0, and vertex R on ordered pair 2, 6. A triangle P prime Q prime R prime is also shown with vertex P prime on ordered pair negative 2 and negative 1, vertex Q prime on ordered pair 0 and 0 and vertex R prime on ordered pair 1 and negative 3. Which set of transformations has been performed on triangle PQR to form triangle P′Q′R′? (5 points) Group of answer choices Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis Dilation by a scale factor of 2 followed by reflection about the x-axis Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis Dilation by a scale factor of 2 followed by reflection about the y-axis
Answer:
Step-by-step explanation:
The smaller polygon is half the size of the original polygon
Suppose △LPO ≅ △HJU.
What is the corresponding congruent parts for each segment or angle?
Answer:
like this
Step-by-step explanation:
9514 1404 393
Answer:
4 1 3 5 2 6 (top to bottom)
Step-by-step explanation:
The statement of congruence tells you the correspondences are ...
L ⇔ H
P ⇔ J
O ⇔ U
Then the correspondences for pairs of points are ...
HU ⇔ LO
PO ⇔ JU
LP ⇔ HJ
HELP PLS i need so much hep pls help me out
Hi how u doin ?
[tex]4 \times ( { \frac{1}{2} })^{4} = \\ [/tex]
[tex]4 \times \frac{1}{16} = \\ [/tex]
[tex] \frac{4}{4 \times 4} = \\ [/tex]
[tex] \frac{1}{4} = \\ [/tex]
[tex]0.25[/tex]
Have a great day ❤
Write 43.25 as a mixed number. help please
Answer:
43 ¼
a mixed number consists of a whole number and a fraction. 0.25 = ¼
therefore the answer is 43¼
Answer:
43 1/4
Step-by-step explanation:
Just add 43 and the equivalent of .25 is 1/4
There is your answer! :)
If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?
A) x² - 3
B) x2 + 9
C) x² – 3x²
D) x²+x-3
E) x² - 6x +9
Answer:
the answer is E
Step-by-step explanation:
hope this helps!
(Will give BRAINLIEST ANSWER If you got it correct)
Perform the following binary multiplication.
1111X111
ANS : 12 3 321
Refer the attachment for your reference !!
a car travels 20 meters in half a minute. if a car travels 10 meters, how many seconds will that take? 1 minute= 60 seconds
Answer:
15 seconds
Step-by-step explanation:
If it travels 20 meters in 30 seconds that means it travels 10 meters in 15 seconds
Answer:
20 meters= 30 seconds
10 meters = x seconds
10*30=40/20
=15
Step-by-step explanation:
it will take 15 seconds good luck
1.
Graph the equation by translating y = |x|.
y = |x + 1| – 3
A. Graph d
B. Graph b
C. Graph c
D. Graph a
Answer:
C. Graph c
Step-by-step explanation:
I got it correct
Saeed's house is 6,000 meters away from Anna's house. How many kilometers apart are their houses?
Answer:
6 kilometers
Step-by-step explanation:
1 kilometer = 1000 meters
6000/1000 = 6
6000 meters = 6 kilometers
If A=i +j+2k B=2i+j+2k C=i-2j-2k Find the magnitude of (A+B+C)
Answer: (6j-2j + 7k / 89
Find the cost price of an article sold at $360 with a profit of 20%.
Step-by-step explanation:
360÷100×20
=72
so 360+72
=432
pls give brainliest!!
Find the area of the shape 1/4 of circle radius of 2
Answer:
≈3.14
Step-by-step explanation:
The formula for finding the area of a circle is:
π·r²
π=approximately 3.14(pi)
r=radius
If you follow this formula,
you would multiply 3.14 by 2², which is basically 2x2.
2x2=4 3.14x4=12.56
But since pi is an irrational number that goes on forever, you usually round pi to the hundredths place, which would be 3.14. But since you're finding the area of 1/4 circle, you need to divide the answer by 4. 12.56/4=3.14, so the answer is about 3.14.
3/7 of my number is 15 what is my number
Answer:
35
Step-by-step explanation:
It is easiest to find the full number if you find just 1/7 first. We know that we have 3/7 in total, so divide the number, 15, by 3 to get 1/7 of the total number. This gives 5. Therefore, 5 is 1/7 of the total. Thus, to find the total, simply multiply 5 by 7. This gives the total 7/7, 35.
On the first day of a family road trip, Kai's family travels 365 miles.
On the third day, they travel 20% farther.
How many miles does Kai's family travel on the third day?
Answer:
438 miles
Step-by-step explanation:
You need to find 120% of 365 because 120% would just be 100% (the starting 365 miles) + the 20% miles on the third day. 120% of 365 would be 438 miles.
When you divide a whole number by a whole number, your quotient will always be less than the dividend. True or false?
Answer: true
Step-by-step explanation: Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
How do you solve A=πr² for r?
Answer:
[tex]\sqrt{\frac{A}{\pi } } =r[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]\frac{A}{\pi } =r^2[/tex]
[tex]\sqrt{\frac{A}{\pi } } =r[/tex]
If ( n+z )! = 60[(n − 1)!] Find the value of n.
Answer:
sorry i need points.....
How many solutions are there to this nonlinear system?
A.One solution
B.No solutions
C.Two solutions
PLEASE HELP ME WITH THIS IT IS DUE IN AN HOUR
30y-300=20y
Answer:
y=30
Step-by-step explanation:
Select the values of Y that make y+6<3 true you must select all that apply. A. -7. B. -5 C. -3 D. 1. E. -2 F. -10
Answer:
A, B, F
brainiest answer would be a good thanks
Help help help help help help help help help plz
Answer:
B
Step-by-step explanation:
Reflections are mirror images over what they are being reflected off.
Think of your own reflection in the mirror. It's not exact, like pictures is it? You could also think of it as folding a piece of paper that has wet paint on it in half. The painted image transfers to the other side of the paper, but it's not exactly the same as the original.
I don't know how exactly to explain it, but that is how I think of it.
1. A company's payroll is $192,520. The cost to process paychecks is about
1.8% of the total payroll. About how much does processing paychecks cost?
[tex]\huge\mathfrak{question}[/tex]
A company's payroll is $192,520. The cost to process paychecks is about 1.8% of the total payroll. About how much does processing paychecks cost?
what we have to do is find how much the percentage costs
[tex] \huge\mathfrak{eqution}[/tex]
[tex]192520 \times 1.8 \div 100[/tex]
solve
our answer is
[tex] \huge \green{3465.36}[/tex]
it costs 3465.36 dollars for the total payrolls.