The smaller number is 1 and the larger number is 3.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Let the numbers be x and y.
The sum of two numbers is twice their difference.
(x + y) = 2(x -y)
The larger number is 2 more than twice the smaller.
That means,
y = x + 2.
Then,
(x + x + 2) = 2(x + 2 - x)
2x + 2 = 4
x = 1
And y = 3
Therefore, the numbers are 1 and 3.
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Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
A. I only
B. II only
C. I or II only
D. I, II, or II
please show your work
Evaluate 5a^2 + 2b^3 when a=4 and b =-4
A car is purchased for $28,000. After each year, the resale value decreases by
35%. What will the resale value be after 3 years? Use the calculator provided and round your answer to the nearest dollar.
Using the formula for decrement, the resale value of a $28,000 car that depreciates at a 35% rate annually for three years would be roughly $10,012.
Explanation:This question is about calculating the effects of percent decrease over a period of time. Specifically, the student is asked to calculate the value of a $28,000 car, after it undergoes a 35% percent decrease in value each year for three years. This type of problem is typically solved using the formula v = p * ((1 - r)^n), where v is the final value, p is the initial value, r is the rate of decrease, and n is the number of periods. In this case, the initial value (p) is $28,000, the rate of decrease (r) is 35% or 0.35, and the number of periods (n) is 3 years. Substituting these into the formula, we can find that the resale value after 3 years is v = 28000 * ((1 - 0.35)^3) = $10,011.75. Rounding this to the nearest dollar, we get an estimated resale value of $10,012.
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0.9×10-1 in Standard notation
A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
(05.03)The equation shows the relationship between x and y:
y = −7x + 9
What is the slope of the equation?
−7
−2
7
9
Answer:
Option 1) -7
Step-by-step explanation:
Given : The equation shows the relationship between x and y : [tex]y=-7x+9[/tex]
To find : What is the slope of the equation?
Solution :
The general slope form of the equation is [tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Now, We compare the given equation with general form of the equation
[tex]y=-7x+9[/tex]
On comparing, m=-7 and b=9
So, The slope of the given equation is -7.
Therefore, Option 1 is correct.
Please help me explain your answer
convert 2 2/5 into a fraction
2 2/5 = 12/5
12/5 * 1/9 =12/45 reduces to 4/15
Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22
Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality
Answer:
Distributive property
Step-by-step explanation:
A car is a vehicle with four wheels.
Rewrite the statement as a true conditional with a converse that is false.
Write a similar true conditional with a converse that is true
evaluate the summation of 2n+5 from n=1 to 12
29
36
216
432
What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?
The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.
Explanation:The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:
The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:
12 + 8k = 48
To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:
8k = 48 - 12
Then, simplify the right side:
8k = 36
Finally, divide both sides by 8 to solve for k:
k = 36 / 8
So, k = 4.5.
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The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).
Explanation:In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.
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Suppose that y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation
What is the slope and the y intercept of the line y=6x-9?
Hello there! :)
This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.
First of all, slope-intercept form looks like this:
y=mx+b
The letter m represents the slope, while the letter b represents the y-intercept.
Now, let's look at the values that we have.
We are given the equation of the line:
y=6x-9
We know that m is the slope; therefore, in this equation, 6 is the slope.
-9 is the y-intercept (the letter b)
Therefore, 6 is the slope and b is the y-intercept.
I hope it helps you. Let me know if you have any queries.
~A smiley teen
[tex]MagicalNature[/tex] here to help
A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above
When the outliers are removed, how does the mean change?
The mean remains the same.
The mean decreases by 2.
The mean increases by 2.
There are no outliers.
HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)
Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?
Consider the equation
(x^m)^3 = (x^13)^5 times (x^-8)^-5.
The value of m is?
A. 15
B. 28
C. 35
D. 70
It's 35, I figured it out
How would I solve this?
the binomial expansion of (x + y^2)^2 is
Answer:
[tex]x^{2}+y^{4}+2xy^{2}[/tex]
Step-by-step explanation:
The given expression is (x + y²)² and we have to simplify it to find the binomial expansion.
(x + y²)² is in the form of (a + b)².
When we expand (a + b)² we get the binomial expression
(a + b)² = a² + b² + 2ab
Now we put the value of a = x and b = y²
(x + y²)² = x² + (y²)² + 2(x)(y²)
= [tex]x^{2}+y^{4}+2xy^{2}[/tex]
Therefore answer is [tex]x^{2}+y^{4}+2xy^{2}[/tex]
From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.
390-150 = 240 cars were sold in November & December
ratio is 3:5
240/8 = 30
30*3 = 90
3*5 = 150
90 cars sold in November
150 cars sold in December
The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?
50 pieces
40 pieces
16 pieces
200 pieces
Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.
How much did she spend on the shirts?
Question 1 options:
what operation represents a ratio
what is the common difference in the arithmic sequence 30,27,24,21,18
Answer:
-3
Step-by-step explanation:
Its decresing by -3.
What is the square root of 26 in simplest radical form?
Final answer:
The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.
Explanation:
The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.
Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.
Are the following figures similar?
(Solve for v) 2v − 6 = 4
What is the answer to this?