Answer:
The value of y = 4
Step-by-step explanation:
Explanation:-
Given the operation *is defined by
x*y=2 x-y,where x and y are real numbers
Given y * ( 3 * y ) = 6
⇒ y * ( 2 (3) -y) = 6 (∵ x*y=2 x-y)
⇒ y * ( 6 - y) = 6
⇒ 2 (y) - (6 - y ) = 6
⇒ 2 y - 6 + y = 6
⇒ 3 y = 6 + 6
⇒ 3 y = 12
⇒ y = 4
Verification:-
Put y =4 in given operation
L.H.S
y * ( 3 * y ) = 4 * ( 3 * 4)
= 4 * (2(3)-4) (∵ x*y=2 x-y )
= 4 * ( 6-4)
= 4 * 2
= 2(4) -2 (∵ x*y=2 x-y )
= 6
=R.H.S
y *(3*y) = 6
∴ y = 4 is satisfied
The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find
what the length of the sides should be. Solve the inequality by showing all of your work.
We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.
The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.
Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.
This inequality is the same as saying the perimeter is less than or equal to 57 feet.
Now we solve.
3x≤57
Isolate 'x': 3x/3≤57/3
0<x≤19 is our answer.
The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.
The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?
Answer:
6.25
Step-by-step explanation:
The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.
425 ÷ 68 = 6.25
Answer:
It is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
I got it right on my quiz!
For each of the sequence below identify whether there is a common ratio. If there is identity what it is. If there is not a common ratio type none.
yes
1.-3
2.3
3.10
4.2
5.3
17. A gardener is installing a fence around his garden. Let x represent the width of
the garden, in feet. The perimeter of the graden is 8x + 8. Which expression
represents the length of the garden?
a. 2x + 2
b. 3x +4
c. 6x + 8
d. 8x + 8 - 2x
Hey there!
Answer:
B. 3x + 4 ft.
Step-by-step explanation:
Remember that:
Perimeter of a rectangle: P = 2l + 2w
Given:
P = 8x + 8
w = x.
Plug the given information into the equation:
8x + 8 = 2l + 2x
Subtract 2x from both sides:
6x + 8 = 2l
Divide both sides by 2:
(6x + 8)/2 = 2l/2
3x + 4 = l.
Therefore, the length of the garden is:
l = 3x + 4 ft.
One teacher wants to give each student 10/9 slices of pizza. If the teacher has 20 slices of pizza, then how many students will she be able to hand out pizza to?
Answer:
18 students
Step-by-step explanation:
This is a division problem.
20 divided by 10/9
20/(10/9) =
= 20/1 * 9/10
= 180/10
= 18
here are some numbers: 8, 11, 13, 18, 25, 37 8, 13 , 18 is an arithmetic progression and the rule is to add 5 use three of the numbers to make a different arithmetic progression Describe the rule
Answer:
Progression: 11, 18, 25
Rule: Add 7
Step-by-step explanation:
Given
List of numbers: 8, 11, 13, 18, 25, 37
Sample Progression: 8, 13, 18; with common difference of 5
Required
Form a different progression using any three listed numbers
To solve this; we'll make use of trial and error methods;
NB: I've tried several numbers; So, I'll just stick to the one that works
To start with;
Select ->11
Add 7 to 11: 11 + 7 - > 18
Add 7 to 18: 18 + 7 -> 25
With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7
solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44
Answer:
for the first one ‘x‘: x = -3/2 y -3
for the first one ‘y’: y = -2/3x-2
for the second one ‘x’: x= 2/3 y + -22/3
for the second one ’y’: y = 3/2 x + 11
Step-by-step explanation:
50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.
Answer:
Step-by-step explanation:
No. of people who took the test = 50
No. of women who took the test = 18
Therefore, no. of men who took the test = 50 - 18 = 32
No. of men who did not pass the test = 1/4 × 32 = 8
No. of men who passed = 32 - 8 =24
The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16
No. of women who failed = 18 - 16 = 2
Total no. of people who passed = 24 + 16 = 40
Total no. of people that didnt pass = 2 + 8 = 10
Therefore probability that they passed = 50/40 = 1.25
Hope this help : ) . Have a nice day !
Answer: The probability is 0.8
Step-by-step explanation:
Total who took the test = 50
Women who took the test = 18
50 - 18 = 32 is the number of men
32/4 = 8 men who did not pass
Men who passed = 32 - 8 =24
To find the number of women who passed : 24 - 8 = 16
Total of people who passed = 24 + 16 = 40
Number who passed out of total people = 40/50 Converted ro decimal: 0.8
So the probability of randomly selecting a person who passed is 0.8
Please answer this question now
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
(5x - y - 3z) + (3x - 2y - 6z)
━━━━━━━☆☆━━━━━━━
▹ Answer
8x - 3y - 9z
▹ Step-by-Step Explanation
(5x - y - 3z) + (3x - 2y - 6z)
Remove the parentheses
5x - y - 3z + (3x - 2y - 6z)
Collect like terms
8x - y - 3z - 2y - 6z
Final Answer
8x - 3y - 9z
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: 8x - 3y - 9z
Step-by-step explanation:
(5x - y - 3z) + (3x - 2y - 6z)
Remove Parenthesis
5x - y - 3z + 3x - 2y - 6z
Add Like Terms
8x - 3y - 9z
Barika, Akeelah, and James raised $76.23 for their dance team. James raised twice as much as Barika, who earned 2.60 less than Akeelah. If x = the amount raised by Akeelah, choose the expressions that represent the amount each other player raised. x – 2.60 2x + 5.20 .5x + 2.60 2x – 5.20
The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.
If we analyze it via steps,
We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.
Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as
2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)
If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.
So, By the Problem,
x + (x-2.60) + (2x-5.20) = 76.23
=> 4x - 7.80 = 76.23
=> 4x = 68.43
=> x = 68.43/4
=> x = 17.11
Therefore, Akeelah raised x = $17.11
Barika raised x-2.60 = $14.51
James raised 2x -5.20 = $29.02
Learn more about algebra:
https://brainly.com/question/30166597
Simplify the given expression. 2x^2-2/x/2(x^2+9)/16x^2-29x
Answer:
work is shown and pictured
What are the x-intercepts of the parabola?
graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2
(4.5, 0) and (5, 0)
(0, 4.5) and (0, 5)
(0, 5) and (0, 4)
(5, 0) and (4, 0)
Answer:
(5, 0) and (4, 0)
Step-by-step explanation:
According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.
Answer:
(4,0) and (5,0)
Step-by-step explanation:
The solutions of a parabola is when the parabola crosses the x- intercept.
A rider sits on a motorcycle. The motorcycle has a mass of 237 kilograms.The rider has a mass of 89 kilograms. What is the total mass of the motorcycle and the rider????
Answer:
326 kg
Step-by-step explanation: weight of the motorcycle: 237 kg
Mass of the rider: 89 kg
Total mass: 237+89:326 kg
Answer:
326 kg
Step-by-step explanation:
tbh im lazy to type it in i owe u a explanation
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers? What is the probability of choosing two black markers if the first marker is put back before the second is drawn?
Answer:
[tex]\dfrac{16}{225}[/tex].
Step-by-step explanation:
It is given that,
Number of red markers = 3
Number of blue markers = 5
Number of yellow markers = 3
Number of black markers = 4
Total markers = 3 + 5 + 3 + 4 = 15
Probability of getting a black marker is
[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]
[tex]P(Black)=\dfrac{4}{15}[/tex]
Probability of choosing two black markers if the first marker is put back before the second is drawn, is
Required probability [tex]=P(Black)\times P(Black)[/tex]
[tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]
[tex]=\dfrac{16}{225}[/tex]
Therefore, the probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:1,3,5,7,
Step-by-step explanation:
When you are dilating the perimeter grows by the scale factor, and when you are dilating the area, it grows by the scale factor squared(16).
Answer:
1,3,6,7
Step-by-step explanation:
Edgy 2022
....................................................................
Answer:
C.
Step-by-step explanation:
The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.
hope this helped look at the comments below i gave u something..
Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find b
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
What is the slope of line a?
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Please help ASAP
These dogs show hourly earnings for a sample of workers in two different careers
It can be understood from below that Option A for Spread and Option D for Center is the correct answer.
What is Center and Spread ?Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
In the graph we can see that the hourly earnings are more spread out in Career B and
Career B has greater median hourly earnings than Career A.
Therefore Option A for Spread and Option D for Center is the correct answer.
To know more about Center and Spread
https://brainly.com/question/13027238
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Answer:
A and D
Step-by-step explanation:
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer:
B. The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Assuming that this is the one on edge, it should be this answer!
1. Two trucks, truck A and truck B, are driving across the country taking the same route.
After 1 day, truck A was 117 miles behind truck B. The next day, truck A drove 185 miles
more miles than truck B. The third day, truck B drove 48 miles more miles than truck A.
Where is truck A in relation to truck B after the third day?
A. 20 miles ahead of truck B
B. 116 miles ahead of truck B
C. 254 miles behind truck B
D. 350 miles behind truck B
C--254 miles behind truck B
mutually exclusive..
Answer:
there are no answer choices
Step-by-step explanation:
sorry can't help
Using the equation y = 2x + 5 , what would the input need to be for an output of -45?
a. -20
b. -25
c. -85
d. -95
Answer:
-25
Step-by-step explanation:
Essentially, y is your output and x is your input.
Here's your base equation: y = 2x + 5
Knowing the information above, let's plug it in:
-45 = 2x + 5
(Subtract 5 from both sides)
-50 = 2x
(Divide both sides by 2 to isolate x)
-25 = x
And there you go.
Answer:
input is -25
Step-by-step explanation:
y = 2x + 5
The output is -45 which is y
-45 = 2x + 5
Subtract 5 from each side
-45-5 = 2x
-50 = 2x
Divide each side by 2
-50/2 = 2x/2
-25 = x
plsss help me withhh mathhh
Answer:
c is right
Step-by-step explanation:
Please Help Me!! Worth 25 points!!
Answer:
6x²-2=13
6x²=13+2=15( transposition method)
x²=15/6
x=√15/6
Answer:
It is the second one.
Step-by-step explanation:
6x²=17
x²=17/6
x=±sqrt(15)/6
Simplify the radical expression
Answer:
[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]
Step-by-step explanation:
[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
How many people are in the set C N D?
4
6
36
38
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
Someone explain this to me
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2