Answer:
There were 69 students in advanced math and 184 students in regular math before the placement tests
Step-by-step explanation:
The correct question
At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the number of advanced math students to the number of regular math students to 4:7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement tests?
Let
x ----> the number of advanced math students
y ----> the number of regular math students
we know that
At the beginning of grade 6
----> equation A
After taking placement tests
----> equation B
----> equation C
Remember that
The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests
step 1
Find out the total number of students after taking placement tests
we have
----> equation B
----> equation C
substitute the value of x in equation B and solve for y
The total number of students after taking placement tests is
step 2
Find out how many students started in regular math and advanced math
we have that
At the beginning of grade 6
----> equation A
-----> equation D
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (69,184)
see the attached figure
therefore
There were 69 students in advanced math and 184 students in regular math before the placement tests
Answer:
:o
Step-by-step explanation:
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
Can y’all help please I’ll mark Brainly for first responders
Answer:
1=$1
2=$2
3=$3
4=$4
Step-by-step explanation:
which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)
Answer:
3b+b and 2(2b)
Step-by-step explanation:
BRAINLIEST APPRECIATED!
THANKS!
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
999÷128= plz help mee
Answer:
The answer is (7.8046875)
Step-by-step explanation:
Hope this helped
(5x+2x^2-3)-(6+x^2-8x)
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
help me plaseeeeeeeeee
Answer:
it would be b
Step-by-step explanation:
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
i need some help with this question
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?
Answer:
8962
Step-by-step explanation:
8×1+9...etc..etc
= 8962
Answer:
8.962
Step-by-step explanation:
please someone help quick
Answer:
J
Step-by-step explanation:
dude trust me
Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]
Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit
Answer:
Jared transfers $55 to his checking account from his savings account.
Jared spends $55 from his checking account to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Hope this helps!
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
what is the missing angle?
Answer:
the missing angle is 73
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]