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45 girls : 15 boys
45/15 girls : 15/15 boys .... divide both parts by 15
3 girls : 1 boy
This tells us there are three times as many girls as there are boys.
We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.
Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.
Answer:
The number of times over the Weekend that:
Ashley watched TV = x = 12 hours
Gabby watched TV = y = 6 hours
Step-by-step explanation:
Let us represent:
The number of times
Ashley watched TV = x
Gabby watched TV = y
Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.
= x + y = 14..... Equation 1
x = 14 - y
Ashley watched 6 times as many hours as Gabby.
x = 6y
Using substitution method
We substitute 14 - y for x
14 - y = 6y
14 = 6y + y
14 = 7y
y = 14/7
y = 2 hours
Solving for x
x = 14 - y
x = 14 - 2
x = 12 hours
Therefore:
The number of times over the Weekend that:
Ashley watched TV = x = 12 hours
Gabby watched TV = y = 6 hours
find the slope of the lines
Answer:
m = 1
Step-by-step explanation:
We can use the x & y intercepts.
Rise = 2
Run = 2
m = Rise/Run = 2/2 = 1
What is the image of A(1,-3)?
use the following transformations with each question:
Reflection across the x-axis
Reflection across the y-axis
Reflection across the y = x
Reflection across the y = -x
Step-by-step explanation:
Given A(1 , -3)
Reflection across the x -axis
= A'( 1 , 3)
Reflection across the y-axis
= A'( -1 , - 3)
Reflection across the y = x
= A' ( -3 , 1)
Reflection across the y = - x
=A'( 3 , - 1)
Hope it will help ☺
plz help I need help
help !!!!!!
Answer:
W=4
Step-by-step explanation:
When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.
1/2 times 6 is 3.
11+3=14
1. identify the coeffieceint: 6x + 19
Answer:
The coefficient is 6 because it has a variable "x"
Can someone please help I don’t understand
Answer:201,06
Step-by-step explanation: the formula for the A in the circle is A= r*r*pi
r=8
pi=3,14
A=8*8*3,14=201,06
Roger is a great pitcher. He strikes out 1 out of every 3 batters he
faces. If he struck out 5 batters in 1 game, about how many batters
would he have faced?
Edith leaves her home at 11:50 am.
She travels 75 miles at an average speed of 30 mph.
At what time does she finish the journey.
Answer:
2:30 minutes her journey finish.
distance / speed = time
75 / 30 = 2.5 hours :
it means 2:20 pm they finish her journey
Step-by-step explanation:
Brainliest?
Answer:
2:20 pm
Step-by-step explanation:
30 mph=1 mile every 2 minutes
75 miles x 2 =150 minutes or 2 hours and 30 minutes
11:50 am + 2 hours and 30 minutes = 2:20 pm
The lowest temperature on Mars can reach - 140 degrees Celsius while the highest temperature can be 20 degrees Celsius. and use it to calculate the difference between the highest and the lowest temperature on Mars
Answer:
120
Step-by-step explanation:
-140 + 20 = 120
Can the triangles be proven similar and how
Answer:
yes
Step-by-step explanation:
Which graph represents the proportional relationship given by the rule "y is 3 times the value of x"?
Please answer fast less than 5 min
Answer:
The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.
Also, the correct graph is attached below.
Step-by-step explanation:
Given the rule
''y is 3 times the value of x".
It means
y = 3x
comparing with the slope-intercept form of the line equation
y = mx+b
where y is the slope and b is the intercept
so,
The slope of y = 3x will be: m = 3
The y-intercept of y = 3x will be: b = 0
CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)
Taking two points
(0, 0)
(2, 6)
Finding the slope between (0, 0) and (2, 6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 0] / [2 - 0]
= 6 / 2
= 3
Thus, the slope of the line = m = 3
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function
y = mx+b
y = 3x+0
y = 3x
Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.
Also, the correct graph is attached below.
Answer:
It's the bottom right graph.
Step-by-step explanation:
HELP HELP HELP POINTS GIVEN
Answer:
the third one
Step-by-step explanation:
you cannot add the hypotenuse with anything else to equal a leg if that makes sense
Decrease £14132.77 by 4.5%
Give your answer rounded to 2 DP.
write a real word problem that you could represent 3+ x =10
I need help solving the equal method
Answer:
(-2, -4)
Step-by-step explanation:
Since both equations are equal to y, you can set them equal to each other:
[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]
Next, solve for x:
[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]
Finally, substitute the solution for x in one of the equations (or both) to find y:
[tex]y=\frac{3}{2}(-2)-1\\y=-3-1\\y=-4[/tex]
[tex]y=\frac{1}{2}(-2)-3\\y=-1-3\\y=-4[/tex]
Therefore, the solution to the system of equations is (-2, -4).
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Step-by-step explanation:
i suppose you are looking for the expanded and simplified form
We can use Pascal's triangle to perform this
According to Pascal's triangle,
1
1 1
1 2 1
So, 1•3x²+2•3x•1/x+1•1/x²
3x²+6x/x+1/x²
3x²+6+1/x²
Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now
Step-by-step explanation:
A method for this would be the tree diagram
20
/. \
10 x 2 ( u circle 2,times with 1 will times into itself)
/ \. (nothing goes into 2)
5x2 (same goes for 5 and the rest)
5x2x2= 20
3. (cant times into itself)
so 2x5x3 = 30
LCM = 30
Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?
Answer:
220 student and 241 adults
Step-by-step explanation:
x+y=461
3x+4y=1624
y=-x+461-----> 3x+4(-x+461)=1624
-x+1844=1624
+x -1624
x=220
3(220)+4y=1624
660+4y=1624
4y=964
y=241
There are 241 adult tickets and 220 student tickets did Sara sell.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sara sold 461 tickets for a school play.
And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.
Let number of adult tickets = x
And, Number of student tickets = y
Hence, We get;
⇒ x + y = 461 .. (i)
And, 4x + 3y = 1624 .. (i)
Multiply by 3 in (i);
⇒ 3x + 3y = 1383 .. (iii)
Subtract form (ii);
⇒ x = 241
And, From (i);
⇒ x + y = 461
⇒ 241 + y = 461
⇒ y = 461 - 241
⇒ y = 220
Thus, There are 241 adult tickets and 220 student tickets did Sara sell.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
What is/ are the constant(s) in this expression?
3a + 6y + 18ay + 9 - 10
3a and 6y
9 and -10
- 9 and 10
9 and 10
Answer:
9 and -10 are constant
Step-by-step explanation:
constant means it shouldnt have any variable attached to it
Answer:
3,6,18,9,10
Step-by-step explanation:
numbers
A. Headphone World
B. Best Buy
C. Target
D. Not enough information to tell
Answer:
??? dont under stand
Step-by-step explanation:
Answer:
The correct answer is Target!
Step-by-step explanation:
12% off of $225 is $198
50% off of $250 is $125
25% off of $265 is $198.75
PLEASE HELP ME!!!!!!
What power did the national government NOT have under the Articles of Confederation?
Answer:
The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.
Step-by-step explanation:
Hope this helps;)
Find −64÷(−8) need help
Answer: The answer to -64 divided by 8 would be 8.
4u+3u+21=70 find the value of the variables
Answer:
u=7
Step-by-step explanation:
First, add 4u and 3u because they are like terms.
7u+21=70
Second, subtract 21 from both sides.
7u=49
Finally, to isolate the variable divide 7 from both sides.
u=7
What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38
Answer:
[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]
(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answer:
Zero
Step-by-step explanation:
So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7
7 minus 7 equals 0 or {7 - 7 = 0}
Hope this helps!!
Answer:
0
Step-by-step explanation:
A line passes through the point 2,1 and has a slope of -3/5. Write an equation for this line
Answer:
y = -3/5x + 1.3
Step-by-step explanation:
y = mx + b
m: slope
b: y-intercept
First, let's substitute in the values.
Point: (2, 1)
Slope: -3/5
y = mx + b
(1) = (-3/5)(2) + b
1 = -0.3 + b
1 + 0.3 = -0.3 + b + 0.3
b = 1.3
Now, let's add the slope and y-intercept to the equation.
y = mx + b
m = -3/5
b = 1.3
y = -3/5x + 1.3
Hope this helped! <3
Someone help please and thank you !! ASAP
Answer:
[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;
Step-by-step explanation:
f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)
g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)
( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?
Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by
[tex]H=-4.9t^2+5t+2[/tex]
The ball will hit the ground when h=0
[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]
4x and 4y are like terms.
O A. True
O B. False
false
because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.
i hope this helps!
Answer: B.False
Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.
Hope it helps . :)
A tennis pro has 12 can of tennis balls. There are 3 balls in each can. He gives an equal number of balls to each of the 4 players. After the lesson, he realizes that each player lost 3 balls. How many tennis balls are left? Show your work and explain (in complete sentences) how you found your answer.
Answer:
24 Tennis balls
Step-by-step explanation:
Calculation for How many tennis balls are left
First step
Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x
x=(12 can ×3 balls each)
x=36
Second step
Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y
y=(4 players×3 balls each)
y=12
Third step is to calculate How many tennis balls are left
Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z
z=36−12
z=24 Tennis balls
Therefore the numbers of tennis balls that are left will be 24 Tennis balls