The products of two numbers involves multiplying them.
The two numbers are -5 and 6
Let the numbers be x and y.
So, we have:
[tex]\mathbf{x \times y = -30}[/tex]
[tex]\mathbf{x + y = 1}[/tex]
Make x the subject in [tex]\mathbf{x + y = 1}[/tex]
[tex]\mathbf{x = 1 - y}[/tex]
Substitute [tex]\mathbf{x = 1 - y}[/tex] in [tex]\mathbf{x \times y = -30}[/tex]
[tex]\mathbf{(1 - y)y = -30}[/tex]
Expand
[tex]\mathbf{y - y^2 = -30}[/tex]
So, we have:
[tex]\mathbf{y^2 -y - 30 = 0}[/tex]
Expand
[tex]\mathbf{y^2 -6y + 5y - 30 = 0}[/tex]
Factorize
[tex]\mathbf{y(y -6) + 5(y - 6) = 0}[/tex]
Factor out y - 6
[tex]\mathbf{(y + 5) (y - 6) = 0}[/tex]
Solve for y
[tex]\mathbf{y = -5\ and\ 6}[/tex]
Hence, the two numbers are -5 and 6
Read more about equations at:
https://brainly.com/question/11897796
Jim bought a $576 TV with the cash in his wallet. He now has $137 in his wallet. Write and solve an equation that shows how much he originally had in his wallet.
Final answer:
Jim originally had $713 in his wallet before purchasing the TV. We found this by setting up the equation x - $576 = $137, which represents the situation before and after the purchase, and solving for x.
Explanation:
Jim bought a $576 TV with the cash in his wallet and now has $137 left. To find out how much money Jim originally had, we can write and solve a simple equation. Let's denote the amount of money Jim originally had as x. After buying the TV, he spent $576, so the money left is $137. This gives us the equation x - $576 = $137.
To solve for x, we add $576 to both sides of the equation, which gives us x = $137 + $576. Therefore, x = $713. So, Jim originally had $713 in his wallet before buying the TV.
When you do a negative number minus a negative number do you get a positive?
What is the value of x? I don't know if I'm right so did i get this answer right? please help i need help ASAP
3/5 =0.6
40 *0.6 = 24
2x+10 =24
2x=14
x = 14/2 = 7
please help me with this, thanks !!
Maddie throws a baseball from third base to first base. The four 90-foot lines between the bases form a square. Which number is the best estimate of how far Maddie throws the baseball?
What is the height of the ramp, to the nearest foot?
Question 4 options
90 feet
130 feet
150 feet
180 feet
A cyclist pedals up a hill that has a 13° angle. If the cyclist pedals up the hill for 10 kilometers, what is the change in her elevation, x ?
0.22 kilometer
9.7 kilometers
2.2 kilometers
45.0 kilometers
Need help! Would greatly appreciate help
????????????????????
If a certain number is added to both the numerator and denominator of the fraction 7 6 76, the result is 3 2 32 . find the number.
The average value of the function v(x)=6/x2 on the interval [1,c] is equal to 1. find the value of
Find two numbers whose difference is 168 and whose product is a minimum
The two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, two numbers whose difference is 168 and whose product is a minimum.
Suppose the two numbers are x and Q respectively.
If x - Q = 100, then Q = 100 + x
The function of their product is minimum,
F(x) = xQ
F(x) = x (100 + x)
F(x) = x² + 100x
Find the equation's lowest point on a graph. At x, the lowest point is -50,
f(x) = -2500
If,
Q = 100 + x
Q = 100 + (-50)
Q= 50
The product of the number is,
xQ = 50 × -50
xQ = -2500
Thus, the two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ5
The set of all x values that make up the function is called the
Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.
A. Input variable
B. Output variable
C. Equation
The output variable B (total number of beads needs for each necklace) equals 27 (number of spacers used) plus 5 times the input variable A (length of the necklace in inches). The resulting equation is B = 27 + 5A.
Explanation:In this question, we're trying to find out the total number of beads Li needs to create each necklace.
Let's define two variables:
A is the input variable, representing the length of the necklace in inches. B is the output variable, which stands for the total number of beads Li needs for each necklace.Li uses 27 spacers for each necklace regardless of its length and there are 5 beads for every inch of necklace. Given these facts, we can create an equation as follows:
B = 27 + 5A
In this equation, 27 is the number of spacers used, while 5A indicates that 5 beads are strung for each inch of the necklace.
To use this equation, simply replace the variable 'A' with the desired length of the necklace in inches. The result will give the total number of beads Li needs for that particular length of necklace.
Learn more about Equation creation here:https://brainly.com/question/30869174
#SPJ11
the ratio of girls to boys in a tennis club is 4:5 if there are 144 children in the club how many girls are there
4:5 means 4 girls to every 5 boys
4+5=9
144/9 = 16
4 *16 = 64 girls
A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, how much profit do you get or lose?
To calculate the profit from buying and selling stocks, subtract the buying price per share from the selling price per share and then multiply by the number of shares. For 30 shares of the Lofty Cheese Company stock, the profit would total $150.
The question involves calculating the profit from buying and selling stocks. When selling the Lofty Cheese Company stock quoted at 251/4 per share, we need to calculate the profit based on the purchase price (201/4) and the selling price (251/4) for 30 shares.
To find the profit per share, subtract the buying price from the selling price:
Selling Price per Share = 251/4
Buying Price per Share = 201/4
Profit per Share = Selling Price - Buying Price = 251/4 - 201/4 = 5
Then, multiply the profit per share by the total number of shares:
Number of Shares = 30
Total Profit = Profit per Share times Number of Shares = 5 times 30 = 150
Therefore, you would realize a total profit of $150 by selling your 30 shares of the Lofty Cheese Company stock.
What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3 −1 ?
ms.snork brought two steaks that weighed 2.96 lb and 3.48 lb. If the meat cost $3.60 per pound, what was the total cost of the steaks ?
The total cost of the steaks that Ms. Snork brought will be $23.184.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ms. Snork brought two steaks that weighed 2.96 lb and 3.48 lb. If the meat cost $3.60 per pound. Then the total cost of the steaks will be given as,
⇒ 2.96 x $3.60 + 3.48 x $3.60
⇒ $10.656 + $12.528
⇒ $23.184
The total cost of the steaks that Ms. Snork brought will be $23.184.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
A sample of size n is selected at random from an infinite population. as n increases, the standard error of the sample mean increases.
a. True
b. False
y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2
Write an equation for the line parallel to the given line that contains
C(4,8);y=-3x+4
A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $38. How many of each type of bill does he have?
Why is looking at cash flow an important step in a good financial plan?
Answer:
To keep knowing how much money you have i recommend credit karma to help but money is very important
Step-by-step explanation:
I NEED QUICK HELP QUICK!!! PLEASE HELP ME SOMEONE!! THANK YOU!!
Which graph does NOT represent a function?
Answer:
ITS B!!!
Step-by-step explanation:
The school baseball team wants to have each player's name imprinted on the player's jacket. the cost is $75 plus $8.50 for each name. write a function to represent the cost c(n) for n names. what is the cost to have names printed on 25 jackets
Which transformation is not isometric?
PLEASE HELP PLEASE PLEASE PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.
Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work?
find the length of the arc on a circle of radius 12 feet intercepted by a central angle of 150°.
The number 0 belongs to which classification?
A. irrational numbers
B. natural numbers
C. integers
D. all of the above
What does it mean when the average is less than the median?
Find points on the line 3x+5y=15 that are equidistant from the coordinate axes.
Final answer:
Points on the line 3x+5y=15 which are equidistant from the coordinate axes are (15/8, 15/8) and (-15/8, -15/8).
Explanation:
To find points on the line 3x+5y=15 that are equidistant from the coordinate axes, we need a point where the x and y coordinates are equal because the distances to the x-axis and y-axis from any point (x, y) are |x| and |y|, respectively. Since the line is equidistant from both axes, we require |x| = |y|.
Substituting y for x in the equation of the line, we get 3x + 5x = 15, which leads to 8x = 15, and therefore x = 15/8. Since we are looking for points equidistant from the axes, we have to check the signs of x and y to ensure they are at equal distances from both axes. Thus, the possible points are (15/8, 15/8) and (-15/8, -15/8).
Solve log 4x + log 13 = 0. Round to the nearest thousandth if necessary. a.0.019 b. 52 c.3.25 d. 0.311 Mathematics