The difference of two numbers is 20 and their product is 125 what is the answer
Answers
The value of the two numbers will be -25 and -5.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the difference between the two numbers is 20 and their product is 125. Let the two numbers are x and y.
x - y =20 or x = y + 20
xy = 125
Solve the equations,
y(y+20) = 125
y² + 20y -125 =0
y² +25y - 5y -125=0
y(y + 25) --5(y + 25) = 0
( y + 25 )( y - 5 ) = 0
y = -25 and y = 5
x = y + 20
x = -25 + 20
x = -5
Therefore, the value of the two numbers will be -25 and -5.
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Answers
Percent of earnings spent on electricity each month is 3.1 %
Solution:
Given that Ramon earns $1,715 each month and pays $53.40 on electricity
To find: Percent of earnings spent on electricity each month
From given information,
Ramon's monthly salary = $ 1715
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Percent of earnings spent on electricity =
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y > x + 1
(–3, 2)
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
Answers
Answer:
(1,2) and (2,2) since blue is a solid line
Step-by-step explanation:
To prove if a point satisfies the inequalities,find the point in the point that both inequalities overlap. In the picture, this is colored purple (both pink and blue/purple).
Answer:
(1,2) and (2,2) makes true
Step-by-step explanation:
y < 5x + 2
y >=1/2(x) + 1
(–3, 2)
Plug in the ordered pair (x,y) in each inequality
2 < 5(-3) + 2 -----> false
(–1, 3)
3< 5(-1) + 2 --------> false
(0, 2)
2 < 5(0) + 2 -------> false
(1, 2)
2 < 5(1) + 2 ---------> True
2 >=(1/2)1 + 1 ----------->True
(2, –1)
-1 < 5(2) + 2 ---------> True
-1>= (1/2)(2) + 1 -----------> false
(2, 2)
2 < 5(2) + 2 ---------> True
2>= (1/2)(2) + 1 -----------> True
Answers
is always a square.
343 = 7³
If the area is 343 m², then the rectangle with the smallest perimeter
is the square with sides of
√343 = (7)^ ¹·⁵ = 7 √7 meters
Final answer:
To find the dimensions of a rectangle with the smallest possible perimeter given an area of 343 m², we must determine the dimensions that will minimize the sum of the lengths of the four sides. The dimensions of the rectangle are 7 m by 49 m.
Explanation:
To find the dimensions of a rectangle with the smallest possible perimeter given an area of 343 m², we must determine the dimensions that will minimize the sum of the lengths of the four sides. Since the perimeter is the sum of the lengths of the opposite sides of a rectangle, we can rewrite the perimeter formula as P = 2l + 2w, where l represents the length and w represents the width.
Now, let's solve for the dimensions:
1. Start with the formula for the area of a rectangle: A = lw.
2. Substitute the given area: 343 = lw.
3. Rewrite the perimeter formula: P = 2l + 2w.
4. Express one variable in terms of the other using the area formula: l = 343/w.
5. Substitute the expression for l in the perimeter formula: P = 2(343/w) + 2w.
6. Simplify the equation: P = (686/w) + 2w.
7. To find the minimum perimeter, differentiate the equation with respect to w and set it equal to zero: 0 = (686/w²) + 2.
8. Solve the equation for w: (686/w²) + 2 = 0. Subtract 2 from both sides: 686/w² = -2. Multiply both sides by w²: 686 = -2w².
9. Divide both sides by -2: -343 = w². Take the square root of both sides (ignoring the positive value since the width cannot be negative): w = -√343 = -7.
10. Substitute the value of w back into the area formula: 343 = l(-7). Solve for l: 343 = -7l. Divide both sides by -7: l = 343/-7 = -49.
Since both dimensions cannot be negative, we ignore the negative values and take the absolute values of w and l: w = 7 and l = 49.
Therefore, the dimensions of the rectangle with an area of 343 m² and the smallest possible perimeter are 7 m by 49 m.
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Answers
Multiply .025 by 16. You always move the decimal to the left two places to turn a percentile to a decimal.
Answers
5x - 7y = -10
=>0*x + 13*y = 45 => y =45/13 => x = 4*(45/13) -11 = 180/13 -11 =>
x = 37/13;