Final answer:
To find the larger number, two equations were formed based on the given problem and solved sequentially. The smaller number was found to be 6, and using this value, the larger number was determined to be 20.
Explanation:
The sum of two numbers is given as 26. This information forms our first equation: s + l = 26, where s is the smaller number and l is the larger number.
We are also told that four less than four times the smaller number is equal to the larger number. This gives us our second equation: 4s - 4 = l.
Now, we can use substitution to solve for the larger number. First, rewrite the second equation in terms of s: l = 4s - 4. Then, substitute this expression for l into the first equation: s + (4s - 4) = 26.
Solving for s, we combine like terms: 5s - 4 = 26. Then, we add 4 to both sides to isolate the terms with s: 5s = 30. Dividing both sides by 5 gives us the smaller number: s = 6.
Finally, we find the larger number by substituting s back into the second equation: l = 4(6) - 4. This operation gives us the larger number l = 24 - 4, hence l = 20.
The larger number is 20.
A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?
a square gives the largest area
25 yards of fence = 25*3 = 75 feet
75/3 = 25 feet
so the dimension should be 25 feet by 25 feet
the area would be 25^2 = 625 square feet
mr. peters buys 3 1/4 pound of grapes for $4.55 what is the unit cost of the grapes
name the property for x+y=y+x
Please help not sure on this
I will give BRAINLIEST to whoever is correct.
4b/3+2 = 4-b/3
5b/3 +2 =4
5b/3 =2
5b =3*2
5b=6
b=6/5
what is the value of "x" in 16^2 = x
16^2 = 16 * 16 =256
x = 256
What is .86 divided by 5 minus .3 times .5
How do you write 2.2 in word form?
Suppose you used the distributive property to get the expression 12x+3y-9. With what expression could you have started?
Please help.
The sum of 17 and twice a number is 87. Find the number.
What is 4 ÷457 long division
a(n+y)=10y+32 solve for y
we have
[tex]a(n+y)=10y+32[/tex]
Solve for y
[tex]a(n+y)=10y+32\\an+ay=10y+32[/tex]
Group terms that contain the variable y, and move the other terms to the opposite side of the equation
[tex]ay-10y=32-an\\ y(a-10)=32-an[/tex]
Divide by [tex](a-10)[/tex] both sides
[tex]y=\frac{(32-an)}{(a-10)}[/tex]
therefore
the answer is
[tex]y=\frac{(32-an)}{(a-10)}[/tex]
Answer:
(32-an)/(a-10)
Step-by-step explanation:
How to solve a=9y+3yx
Therefore, the equation [tex]y = \frac{a}{9 + 3x}[/tex] represents y as a function of a and x, showing how changes in a and x affect the value of y.
The given equation a = 9y + 3yx is a literal equation, meaning it relates multiple variables (in this case, a and y) with constants. Our goal is to isolate y, which means we want y to be expressed solely in terms of a and x, without any other variables.
To do this, we first factor out the common factor y from the right side of the equation, leaving us with a = y(9 + 3x). This step simplifies the equation and makes it easier to isolate y.
Then, to solve for y, we divide both sides of the equation by (9 + 3x), effectively undoing the multiplication by (9 + 3x) on the right side. This leaves us with [tex]y = \frac{a}{9 + 3x}[/tex].
In this final expression, y is in terms of a and x, indicating that the value of y depends on the values of a and x. As a and x vary, the value of y changes accordingly, following the relationship described by the equation.
Complete Question:
Solve the literal equation for y.
a = 9y + 3yx
y =
3/4 x+5− 1/2 x=3 Solve For X Need Answer Fast Please!!!!!!!
Answer:
8 1/5
Step-by-step explanation:
Kevin wanted to know how many minutes are in 2 years.
he set up the conversion below
365 days 24 hours 1 hours
2 years *------------ * ------------ * -----------
1 years 1 day 60 minutes
1. what did Kevin do wrong
2. what can Kevin do to fix it
(2*1)+(6*1/1000) write in standard form
Answer 12 plzzzz‼️‼️ asap!
2 for $9. what is the unit price?
zack watches tv 3 times as much as joel. Joel watches tv 2 hours a day. how many hours a day does Zack watch tv?
Susan currently has an account balance of $1,336.60. Her initial deposit on the account was $820 and it earned 4.5% simple interest. How long has Susan held the account?
June is working on an addition problem and starts with 17,985. After she adds she still has 17,985. Which property of addition did June use? How do u know? please help me as fast as possible im doing this right now
Answer:
Additive Identity
Step-by-step explanation:
Given number: 17985
Let say June added x to this no.
The result of the addition = 17985
Result = 17985 + x
17985 = 17985 + x
Thus, x = 0.
This means that June added "0" (zero) to the number. This is additive identity. As per this property, when additive identity is added to a number, the number remains unchanged.
I need help -3x=x-(6-2x)?
Answer:
X=1
Step-by-step explanation:
alexander the great became king in 336 BB and died 13 years later. what year did he die?
I need help with math.............
A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How many total employees does the company now have?
Hwong Has 39 Muffins.If each of hos Guest will Eat 2 Muffins, Hwong figures That He Can Serve Muffins To 19 Guest
Please show your work with each expression. Simplify.
6a - 2b^2 a=9 b=5
4d^3 + 6e^2 - 8d ÷ 2 d=2 e=3
5r^2 ÷ 4 + 4s ÷ 3r r=4 s=9
True or false 6,859^1/3 can be written as square root 3 19^3
How does an underestimate relate to rounding factors before estimating?
When you round up, you overestimate because now numbers are bigger than before rounding. In a similar way, when you round down, you underestimate. And, when you round down some factors and round up others, it is hard to tell whether the estimate is an overestimate or an underestimate.
−30+(−40)+(−70 equivalent expression