Answer:
its B
Step-by-step explanation:
I calaulated all the numbers
The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each lap that they swam during a one-week period. The three swimmers who raised the most money were Rita, John, and Rodell. Together they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The three swimmers who collected the most cash were Rita (A), John (B), and Rodell (C). Together they swam a sum of 2125 laps. John swam threefold the number of laps as Rita, and Rodell swam 25 additional laps than John.
Then the equations are given as,
A + B + C = 2125 ...1
B = 3A ...2
C = 25 + B ...3
From equations 1, 2, and 3, then we have
B/3 + B + 25 + B = 2125
B/3 + B + B = 2100
(7/3)B = 2100
B = 2100 x 3 / 7
B = 900 laps
Then the value of A will be given as,
A = 900 / 3
A = 300
Then the value of C will be given as,
C = 900 + 25
C = 925
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?
Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;
[tex]x-2\sqrt{x^2+7x-5}[/tex]
start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13
HELP I NEED TO TURN THIS IN
Answer:
4 Adults and 3 Kids
need a lil help.. EDGE2020
Answer:
2nd option
Step-by-step explanation:
2 parts ginger ale to 3 parts raspberry juice
Luke had $9. He had to spend 3/4 of it for a birthday gift. How much cash money did
he spend?
Answer:
He spent $2.25.
Step-by-step explanation:
Multiply $9 by 3/4 and we get $6.75.
Now subtract $6.75 from $9.
We get $2.25
Which polynomial is in standard form?
2x-3x+ 10x
-16x2-9x+12
15x-6x2+3
-7x?+ 9x9 - 11x
Answer:
[tex]-16x^2-9x+12[/tex]
Step-by-step explanation:
[tex]2x-3x+ 10x[/tex]
[tex]-16x^2-9x+12[/tex]
[tex]15x-6x^2+3[/tex]
[tex]-7x+ 9x^9 - 11x[/tex]
Standard form is when the polynomial's terms's degrees go down so the highest power is the first and the lowest is the last.
We see that the first expression can be more simplified so that isn't right.
We see that the second expression is in standard form so that might be right.
We see that the third expression has the highest power as the second term so that is wrong
We see that last expression is the same as the third one so that is also wrong.
We can conclude that [tex]-16x^2-9x+12[/tex] is the correct one or in standard form.
Is this correct or no(Direct answer please
Select three ratios that are equivalent to 11:1 A: 1: 11 B 22:2 C 55:5 D 9:99 E 110: 10
Answer:
B 22;2 c 55:5 E 110:10
Step-by-step explanation:
multiplying is key
Answer:
B,C,E
Step-by-step explanation:
divide each of them and if the result is equal to 11 so it is equivalent to 11:1
Make statement true 0.06 is 10 times
0.06 is 10 times 0.006; 0.06 = 10 * 0.006
You can find this by solving 0.06/10 = 0.006
The lines of the equations are parallel, perpendicular, or neither.
y=-x +3
y=-x-3
O parallel
O perpendicular
O neither
Answer:
Parallel
Step-by-step explanation:
The have equal slopes
3. A test consists of 30 true/false questions. To pass the test a student must answer at least 18 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
Answer: the answer would be15%
Step-by-step explanation:
Statements with nested quantifiers: English to logic, part 4. About A student club holds an election for officers. Before the voting, members can nominate each other. It is also possible for a member to nominate himself or herself. Some of the members are new members. Some of the members are currently officers. The domain is the set of members of the club. One of the members of the club is named Sam. Define the following predicates. N(x, y): person x nominated person y for a position. W(x): person x is a new member. O(x): person x is currently an officer. Give a quantified expression that is logically equivalent to each of the following statements.
(a) All the new members nominated all the officers.
(b) One of the current officers did not nominate anyone.
(c) Everyone nominated someone.
(d) Someone nominated everyone.
(e) Everyone nominated someone other than themselves.
(f) Exactly one person nominated Sam.
Answer:
someone please answer this equation
Step-by-step explanation:
i have this on my test and i really need help with it
How are you doing today, if no answer thats fine to.
Answer:
I am doing great!
Step-by-step explanation:
Answer:
hello im doing good
Step-by-step explanation:
can someone help please?!!! im in a hurry :(
I'm pretty sure it would be 2 and 90, let me know if I'm wrong.
Answer:
2, 90
Step-by-step explanation:
Divide 54 by 3 to get how many licks are needed for ONE lollipop. Once you figure how many licks are needed for ONE, you can figure out how many it takes for any amount of lollipops.
54 licks / 3 lollipops = 18 licks / 1 lollipop
Divide 36 by 18 and multiply the quotient by 18 to find the number of lollipops 36 licks takes.
36 licks / 18 licks = 2 lollipops (this is your first answer)
Now multiply 18 by 5 like so: 18 * 5 = 90 (this is your second answer)
Can you help me please
Answer
3
Step-by-step explanation:
(4-1)^2+(8-8)^2=9
square root of 9 is 3
HELPPPP!!!! PLEASEEE!!!
Which statement below is true?
A. If p → q is true, then q → p is true.
B. If p → q is true and p is true, then q is true.
C. If p → q and q → r are true, then q → p is true.
D. If p → q and q → r are true, then r → p is true.
Answer: i believe the answer is B
Step-by-step explanation: because if p to q is true, then that means p and q are both true!
HELP WILL MARK BRAINLIEST
Answer:
a) A = (5, 1), b) A = (1,11)
Step-by-step explanation:
given A is (2,3), question a is represented by a shift of this point 3 units to the right, and 2 units down which means (x,y) → (x +3, y - 2) or T(3,-2)(x,y). (2,3) → (x + 3, y - 2) = (2 + 3, 3 - 2) = (5, 1).
Question b represents a shift of this point one unit to left, and 8 units up which is represented by (x,y) → (x -1 , y + 8) or T(-1,8)(x,y).
(2,3) → (x - 1, y + 8) = (2 - 1 , 3 + 8) = (1, 11).
a line passes through the point (0,-4) and has a slope of 3/2. what is equation of the line?
Answer:
[tex]y=\frac{3}{2}x-4[/tex]
Step-by-step explanation:
Use the equation of a line: y=mx+b.
First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).
[tex]y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b[/tex]
Now that we have the b value, we can create the equation:
[tex]y=\frac{3}{2}x-4[/tex]
2/3+1/4. Show me work
Answer:
11/12
Step-by-step explanation:
2/3 to 8/12
1/4 to 3/12
8/12+3/12=11/12
Answer:
11/12
Step-by-step explanation:
hi! let's start off by finding the LCM to find a common denominator for these fractions. the LCM of 3 and 4 is 12. so, we can look at what we need to multiply each denominator by to get 12.
3*4 is 12 and 4*3 is 12, so we have to multiply the first fraction by 4/4 (which is equivalent to 1) and we have to multiply the second fraction by 3/3.
this becomes 8/12 and 3/12, which are equivalent to their original forms.
now, we can add these by adding the numerators and keeping the denominators the same.
(8+3)/12
11/12
theres your answer!
A train travels 100 miles per minute. One mile is about 1.61 kilometers and 1 hour is 60 minutes.
Convert train's speed in kilometers per hour?
Answer:
9660 kn per hour
Step-by-step explanation:
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer:
Gloria's time was 2.5 minutes faster
Step-by-step explanation:
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
What is the solution?
Answer:
x= 12
Step-by-step explanation:
I got it right on edge
What is the fraction
12
30
in simplest form?
O
15
3
10
Answer:
2/5
Step-by-step explanation:
what is the opposite of the integer 62?
Answer: -62
Step-by-step explanation:
Answer:
-62 is the correct answer
does anybody understand triangle angle theorems??
Answer:
It means that states that the three interior angles of any triangle add up to 180 degrees.
Have A Nice DAY!!!!!!
:-)
Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a fraction.
Answer:
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Required
Make the denominator equal
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Factorize the denominator
[tex]\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}[/tex]
[tex]\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}[/tex]
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
[tex]\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}[/tex]
[tex]\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}[/tex]
[tex]\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}[/tex]
The expression now have the same denominator
Is 3pi/4pi a rational number?
Answer:No
Step-by-step explanation:
Pi is irrational
A construction company requires 25,400 bricks
for a job. If it allows 2% more bricks for breakage, how
many bricks must it order?
How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)
Answer:
The temperature in Miami is 9/5 times the temperature in San Diego.
Step-by-step explanation:
Ratios
To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:
[tex]\displaystyle \frac{45}{25}[/tex]
Simplify the fraction dividing by 5:
[tex]\displaystyle \frac{9}{5}[/tex]
Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.
The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, and 7.18. (a) Calculate the sample mean. Round your answer to 3 decimal places. (b) Calculate the sample variance. Round your answer to 6 decimal places. (c) Calculate the sample standard deviation. Round your answer to 3 decimal places. (d) Which of the following are potential major sources of variability in the experiment
Answer:
(a)7.185
(b)0.000371
(c) 0.019
(d)Sample variance and Sample standard deviation
Step-by-step explanation:
We are given the following sample data.
7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.
(a) Calculate the sample mean. Round your answer to 3 decimal places.
The formula for sample mean =
Sum of terms/Number of terms
= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8
= 57.48/8
= 7.185
(b) Calculate the sample variance. Round your answer to 6 decimal places.
The formula for sample Variance =
(x - mean)²/n - 1
n = 8
Sample variance = (7.15 - 7.185)² + (7.20-
7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1
= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7
= 0.0026/7
= 0.000371428571
Approximately to 6 decimal places = 0.000371
(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.
The formula for Sample Standard Deviation = √Sample variance
= √0.000371428571
= 0.01927248223
To 3 decimal places = 0.019
(d) Which of the following are potential major sources of variability in the experiment
Sample variance
Sample standard deviation