The sum of two numbers is 26. Four less than four times the smaller number is equal to the larger number x. Find the larger number.

Answers

Answer 1
Hey there!

This question just wants you to create an equation and solve. In this case, the larger number is equal to x. To find the smaller number, we would need to multiply x by 4 and subtract 4 from it. This means that the smaller number is equal to (4x – 4). You add the two numbers, x and (4x – 4), to get 26. Your final equation is:

x + (4x – 4) = 26

Now, just solve. 

x + 4x – 4 = 26
(5x – 4) + 4 = (26) + 4
(5x) ÷ 5 = (30) ÷ 5
x = 6

Finally, just plug in 6 for both numbers to get your answer. 

(6) + (4(6) – 4) = 26
6 + 20 = 26

Your two numbers are 6 and 20. 

Hope this helped you out! :-)
Answer 2

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.


Related Questions

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?

Answers

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

Answers

divide 3 1/4 with 4.55

name the property for x+y=y+x

Answers

it is the commutative property!
Commutative property is your answer

hope this helps

Please help not sure on this

Answers

If I am correct, it would be dropped at -3, side adding to negative numbers make them increase to positive numbers.

I will give BRAINLIEST to whoever is correct.

Answers

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

Answers

16^2  = 16 * 16  =256

x = 256

What is .86 divided by 5 minus .3 times .5

Answers

The answer is 2.2 buddy
.86÷5-.3×5= -1.328 the answer is -1.328

How do you write 2.2 in word form?

Answers

2.2=22/10=2+0.2=2+2/10

so it could be said as 2 and 2 tenths
two and two-tenths
 2      .          2

Suppose you used the distributive property to get the expression 12x+3y-9. With what expression could you have started?

Please help.

Answers

the answer could be 3(4x+y-3)
Before using the other methods for factoring, this is the first type of factoring you should try. Basically, you’re reversing the distributive property. What you’re doing is finding the greatest common factor for all of the terms.
Examples:

Factor 2x + 4
Greatest common factor for both of the terms is 2.
2x + 4 = 2(x + 2)

Factor 4x2 + 12
Greatest common factor for both terms is 4.
4x2 + 12 = 4(x2 + 3)

Factor 5x2 + 10x + 25
Greatest common factor for all of the terms is 5.
5x2 + 10x + 25 = 5(x2 + 2x + 5)

Find the greatest common factor for 12, 3 and -9.

After playing with the numbers around, I got 3.

3(4x + y - 3)

So, 3(4x + y - 3) is the answer.

The sum of 17 and twice a number is 87. Find the number.

Answers

" the sum " means add

17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==

What is 4 ÷457 long division

Answers

The answer is 114.25
0.008752735 is the right answer 

a(n+y)=10y+32 solve for y

Answers

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

Answers

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!!!!!!!

Answers

3/4x + 5 - 1/2 x=3 = -8

I believe this is the right answer :)

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

Answers

Part 1
Kevin did not indicate the conversions between years, days, hours, and minutes.

Part 2
The correct calculation for the number of minutes in 2 years is
[tex]2 \, years \\ = (2 \, years)*(365 \, \frac{days}{year})*(24 \, \frac{hours}{day} )*(60 \, \frac{minutes}{hour} ) \\ = 1,051,200 \, minutes[/tex]

Answer: 1,051,200 minutes

(2*1)+(6*1/1000) write in standard form

Answers



2+1006

=1008

1000+8=1008

Hope this helps

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Answers

Create equal fractions to find the number of hours he used the health club for.

2/13=x/29.25

Then, simplify so that x is by itself.

(29.25x2)/13 = x
x= 58.5/13
x=4.5 hours
13/2 = 6.5
They charge $6.50 per hour
29.25/6.50 = 2925/650 = 4.5
He was in the health club for ~ 4.5 hours

hope this helps

2 for $9. what is the unit price?

Answers

9/2
4.50

Hope this helped!
$4.50 is ur answer all u do is 9 divided by 2

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Answers

Jole - 2 hours a day
Zach- 3(2) hours a day
The answer is:
6 hours a day
joel- 2 hours
zack- times 3
2x3=6.
Zack watches tv for 6hours a day

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Answers

Here we need the time, so
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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

Answers

u start with 17,985...u add a number and the result is still 17,985. There is only 1 way this can happen and that is if the number u added was 0.

17,985 + 0 = 17,985....this is the additive identity property...which simply states that u can add 0 to a number and it still keeps its identity.

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)?

Answers

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?

Answers

323 BC. When working before Christ the more recent the year is, the smaller the number is.
323 B.C.E. because 336- 23=324 B.C.E.

I need help with math.............

Answers

Greetings!

Solve using the properties of equality:
[tex]2(x+2)=4x+1-2x[/tex]
Distribute the Parenthesis.
[tex]2x+4=4x+1-2x[/tex]
Combine like terms.
[tex]2x+4=2x+1[/tex]
There are no possible solutions.

Hope this helps.
-Benjamin

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Answers

The answer would 531. You would add 18% more employees to the company so the answer is 531. I really hope this helped you. Have a nice day!

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Answers

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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

Answers

(replace the variables) 6(9)-2(5)^2
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Answers

[tex]6859^{ \frac{1}{3}} [/tex]

Using the index law [tex]a^{ \frac{m}{n}} = (\sqrt[n]{a} )^m[/tex]

[tex] \sqrt[3]{6859}=19 [/tex], so we can also write this as
[tex]( \sqrt[3]{19^3} )[/tex]

Answer: TRUE



How does an underestimate relate to rounding factors before estimating?

Answers

when both factors in a multiplication problem are rounded up to estimate the product, the estimate is an overestimate.

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

Answers

−30−40−70

=−70−70

=−140


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