The ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
What is the Solution of an Equation?Solution of an equation is the value of a variable or two variables that makes an equation true.
Given:
3(x+y)=y
We are required to find the ratio, x/y if y ≠ 0.
Thus:
3(x+y)=y
Open bracket
3x + 3y = y
Subtract 3y from both sides
3x = y - 3y
3x = -2y
Divide both sides by 3
x = -2y/3
Divide both sides by y
x/y = -2/3
Therefore, the ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
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Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below.
(Image)
In which student’s data can height be considered a function of age?
Answer:
Step-by-step explanation:
Hal's because there is one age for every height .
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge 2021
Write an equation of the line passing through each of the following pairs of points.
a) (−10, 4), (2, −5)
b) (5, 7), (−6, −3)
The required equation of the line passing through the coordinates (−10, 4), (2, −5) is 4y+3x = -14
The required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27
The formula for finding the equation of a line is expressed as:
[tex]y-y_0=m(x-x_0)\\[/tex]
Given the coordinates (−10, 4), (2, −5)
Get the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-4}{2-(-10)} \\m=\frac{-9}{12}\\m=\frac{-3}{4}[/tex]
Get the required equation
[tex]y-4=-3/4(x+10)\\4(y-4)=3(x+10)\\4y-16=-3x-30\\4y + 3x = -30+16\\4y+3x = -14\\[/tex]
b) For the equation of the line with the coordinates (5,7) and (-6, -3)
Get the slope
m = -3-7/-6-5
m = -10/-11
m = 10/11
The required equation will be:
y - 7 = 10/11(x-5)
11(y-7) = 10(x-5)\
11y - 77 = 10x - 50
11y - 10x = -50 + 77
11y - 10x = -27
Hence the required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27
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Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes $34.65 per hour. if luis works 46 hours in one week, how much does he earn?a.$1,062.60b.$1,097.25c.$1,131.90d.$1,593.90
Answer:
correct answer is C. Just took the test.
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ? Enter your answer in the box.
While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. how many fireflies are caught each minute during the competition?
To find for the number of fireflies caught in a minute, we simply look at the equation. The equation is linear and takes the form y = slope * x + b
where slope is also equivalent to the fireflies caught each minute.
So the equation of you and your friend is: (where y is the total fireflies caught)
you:
y = 3 m + 13
your friend:
y = 4 m + 6
So the fireflies caught each minute is:
you: 3
your friend: 4
So a total of 7 fireflies each minute combined
what is the solution of the following system?
3x+3y=10
-9x-9y=-30
Please give me a step by step!
How can I work out this: (6x-1)(4x+6)
12 is 30% of blank plz give the right answer
(99 POINTS AVAILABLE)
When three or more lines intersect at one point, the point of intersection is called the ____________.
Alberto, Carlos and Maria share an inheritance of $54000 in the ratio of 3: 4: 5
What fraction of the the money does Alberto get?
Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.
To find out the fraction of the money Alberto gets, we first need to find out how much of the total inheritance each part of the ratio represents.
The total parts in the ratio are [tex]\(3 + 4 + 5 = 12\)[/tex].
Alberto's share is [tex]\(3\)[/tex] parts out of [tex]\(12\)[/tex].
So, Alberto's share of the inheritance is [tex]\( \frac{3}{12} \)[/tex] of the total amount.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is [tex]\(3\)[/tex]:
[tex]\( \frac{3}{12} = \frac{1}{4} \)[/tex]
Therefore, Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.
A man has 20 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 425 cents, how many dimes and how many quarters does he have? your answer is
Greg is 5 feet three inches tall and weighs 260 pounds. greg is ________.
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
WILL GIVE BRAINLIEST-The number of pollinated flowers as a function of time in days can be represented by the function.
f(x)=(3)x/2
What is the average increase in the number of flowers pollinated per day between days 4 and 10?
Enter your answer in the box.
Final answer:
The average increase in the number of flowers pollinated per day between days 4 and 10 is calculated by finding the values of the function on days 4 and 10, subtracting these values, and dividing by the number of days between 4 and 10. The result is an average increase of 39 flowers per day.
Explanation:
Calculating the Average Increase in Pollinated Flowers
To find the average increase in the number of flowers pollinated per day, we need to evaluate the function f(x) = (3)x/2 at days 4 and 10 and then find the difference between these two values. First, let's calculate the number of flowers pollinated on day 4.
f(4) = (3)4/2 = (3)2 = 9
Now, let's calculate the number of flowers pollinated on day 10.
f(10) = (3)10/2 = (3)5 = 243
The difference between these two values is:
243 - 9 = 234
Lastly, to find the average increase per day between days 4 and 10, we will divide this difference by the number of days between 4 and 10, which is 6 days (10 - 4 = 6).
Average increase per day = 234 / 6 = 39
Therefore, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39 flowers.
In how many ways can you order 3 red balls and 2 white balls taken from a bin of 5 blue, 7 red, 3 yellow, and 8 white? (balls with the same color are indistinguishable) (233,2)
Answer:
It is 8 since I got it right.
If angles are supplementary, then one of the angles is an obtuse angle
a. True
b. False
Leon drew Triangle ABC and Triangle DEF so that Angle A is congruent to Angle D, Andgle B is Congruent to Angle E, AB = 4, and DE = 8. Are Triangle ABC and Triangle DEF similar? If so, identify the similarity postulate or theorem that applies.
Answer:
The correct option is D
Step-by-step explanation:
Given triangle ABC and triangle DEF so that ∠A≅∠D, ∠B≅∠E, AB = 4, and DE = 8. we have to tell the similarity theorem or postulate that applies to prove above triangles congruent.
In ΔABC and ΔDEF
∠A=∠D (Given)
∠B=∠E (given)
Two angles are congruent
Hence, by AA similarity postulate which states that if the two corresponding angles of two triangles are congruent they are similar i.e ΔABC~ΔDEF
Hence, The correct option is D
Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?
Final answer:
The $500 was invested at an annual interest rate of 3%.
Explanation:
Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.
The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85
Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3
The $500 was invested at an annual interest rate of 3%.
Staci is attending a music festival. The ticket to the festival costs 87.96. Staci plans to purchase 30.00 t-shirts from the event for close friends. She is taking 200.00 to the festival . What is the maximum number of t-shirts Staci can purchase?
Final answer:
Staci can purchase a maximum of 3 T-shirts after buying her festival ticket, given she brings $200.00 and each T-shirt costs $30.00.
Explanation:
To calculate the maximum number of T-shirts Staci can purchase at the music festival, we can follow these steps:
Subtract the cost of the festival ticket from the total amount of money Staci is taking to the festival. This will give us how much money she has left for the T-shirts.
Divide the remaining amount by the cost of one T-shirt to find out the maximum number of T-shirts she can buy.
So for the first step:
Staci has $200.00 and the ticket costs $87.96, leaving her with $200.00 - $87.96 = $112.04.
For the second step:
Each T-shirt costs $30.00, so we divide $112.04 by $30.00, which gives us 3.734.
Since Staci cannot buy a fraction of a T-shirt, we round down to the nearest whole number, which is 3.
Therefore, the maximum number of T-shirts Staci can purchase is 3.
An electronics store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. The manager’s target is to make at least $225 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders.
An inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target is [tex]25p+55r\geq225[/tex].
To determine the inequality that represents the number of portable DVD players (p) and DVD recorders (r) that need to be sold to achieve the target profit of at least $225 per day, we can use the information provided about the profits from selling each item.
The store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. This can be represented by the following inequality:
[tex]25p+55r\geq225[/tex]
Here, p represents the number of portable DVD players sold.
Here, r represents the number of DVD recorders sold.
This inequality ensures that the total profit from selling portable DVD players and DVD recorders meets or exceeds the manager’s target of $225 per day.
The formula for the area of a triangle is a=1/2bh. solve the formula for h. a triangle has a base of 7cm and an area of 28cm squared. what us it's height
Answer: 8 cm
Step-by-step explanation:
Given : The formula for the area of a triangle is [tex]a=\dfrac{1}{2}bh[/tex]
If a triangle has a base of 7 cm and an area of 28 cm squared.
The substitute the values of b = 7 and a = 28 in the above formula, we get
[tex]28=\dfrac{1}{2}(7)h[/tex]
Divide 7 and multiply 2 on on both sides, we get
[tex]h=\dfrac{28\times2}{7}=4\times2=8\ cm[/tex]
Hence, the height of triangle = 8 cm
C(x) = 0.5x+70 find the domain and range
The length of a rectangle is 4 inches more than its width. the perimeter of the rectangle is 32 inches. what is the length of the rectangle
A vertical plane intersects the three-dimensional object in the image and divides the object into equal halves. What is the shape of the cross section?
Thank you :)
Answer:
Option 4 is correct .
Step-by-step explanation:
Given : A three dimensional figure
To Find : What is the shape of the cross section?
Solution :
If we intersects the three-dimensional object in the image and divides the object into equal halves by vertical plane then we can see the attached figure what the output will be .
We can see that if we see the cross section from the side then it looks like the fourth one
So, Option 4 is correct .
Worth 99 points and brainliest if correct.
Option C is your answer
I believe that the question is asking which one is false (as all the other are true).
Angles 2 and 3 are not congruent, because they are next to each other (not vertical angles). Rather, they are supplementary angles, meaning they would add up to 180° in measurement.
hope this helps
What is the repeating decimal 0.242424.... as a fraction in simplest form?
A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.
The fraction in the simplest form is 8/33
The decimal is given as:
[tex]Decimal = 0.242424....[/tex]
The repeating numbers in the decimal are 2 and 4.
So, we express the number as follows (as a fraction)
[tex]Fraction = \frac{24}{100}[/tex]
Subtract 1 from the denominator
[tex]Fraction = \frac{24}{100 -1}[/tex]
[tex]Fraction = \frac{24}{99}[/tex]
Reduce the fraction by dividing the numerator and the denominator by 3
[tex]Fraction = \frac{24/3}{99/3}[/tex]
Simplify
[tex]Fraction = \frac{8}{33}[/tex]
Hence, the fraction is 8/33
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Solve the equation for t.
3t + 2 = 5(t – 2) – 2t + 8
Question 4 options:
Infinitely many solutions
x = 2
x = 3
No solution
A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?
Which is equivalent to log2n=4 ?
Answer:
Option (B): Logn=4Log2
Step-by-step explanation:
Math.
When four basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name.
P(shoot free throws in alphabetical order) = _____
The total number of possibilities of drawing their names is given by permutation.
4P4 = 24
The total possibility of drawing their names in alphabetical is only 1.
Therefore the probability is:
P = 1 / 24
P = 0.0417
Therefore there is about 4.17% chance that it will be in alphabetical order