Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
what is an equation of the line that passes through the points (-2,1) and (-8,4)
Answer:
y = -1/2 x
Step-by-step explanation:
slope = Δy / Δx
= 4 - 1 / -8 - (-2)
= 3 / -6
m = - 1/2
y = mx + b
1 = (-1/2)(-2) + b
1 = 1 + b
b = 0
eqn of the line : y = -1/2 x
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12
Answer:
|x - 42.80| = 12
Step-by-step explanation:
The absolute value |x - a| = b means either x - a = b or x - a = -b
Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.
Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:
x = 42.80 + 12; or x = 42.80 - 12
Hence:
x - 42.80 = 12; or x - 42.80 = -12
|x - 42.80| = 12
solve the following equation 5a-4>2a+8
Answer:
4
Step-by-step explanation:
Simplifying
5a + -4 = 2a + 8
Reorder the terms:
-4 + 5a = 2a + 8
Reorder the terms:
-4 + 5a = 8 + 2a
Solving
-4 + 5a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
-4 + 5a + -2a = 8 + 2a + -2a
Combine like terms: 5a + -2a = 3a
-4 + 3a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
-4 + 3a = 8 + 0
-4 + 3a = 8
Add '4' to each side of the equation.
-4 + 4 + 3a = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 3a = 8 + 4
3a = 8 + 4
Combine like terms: 8 + 4 = 12
3a = 12
Divide each side by '3'.
a = 4
Simplifying
a = 4
Which system of equations has no solutions?
Answer:
The answer is simple it would be the 3rd one(2nd row to the left)
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.
Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
Find the greatest common factor of 27 and 33.
Answer:
3
Step-by-step explanation:
26 and 33 both divisible by 3
The greatest common factor of 27 and 33 is 3.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 27 and 33.
GCF of twenty seven and seventy three.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The factors of 27 are 1, 3, 9 and 27.
One , three , nine and twenty seven because 27 is divisible by the numbers.
The factors of 33 are 1, 3, 11 and 33.
One, three, eleven and thirty three because 33 is divisible by these numbers.
The highest common factor 27 and 33 is 3
Hence, the greatest common factor of 27 and 33 is 3.
To learn more on Number system click:
https://brainly.com/question/22046046
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will give brainiest for this
Answer:
lol, u can still ask the question
Step-by-step explanation:
i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!
Describe something true about any pair of interior and exterior angles?
What is b when sy = 128.4, sx = 327.8, and r = 0.92?
b = 2.349
b = 0.360
b = 0.007
b = 0.392
b = 2.553
Answer:
0.360
Step-by-Step Explanation:
The equation to find B is as follows:
B = R * (sy/sx)
All of those values are given to you in-question. It’s a matter of plugging in the material and following PEMDAS. For this, the equation becomes; 0.92 x (128.4/327.8), which pans out to be 0.360.
Hope this helped.
A farmer has 300 feet of fence available to
enclose a 4500 square foot region in the
shape of adjoining squares, with sides of
length x and y. The big square has sides of
length x and the small square has sides of
length y. Find x and y.
UUUULTTUUL
x= ? feet
y = ? feet
Given :
A farmer has 300 feet of fence available to enclose a 4500 square foot region in the shape of adjoining squares, with sides of length x and y.
The big square has sides of length x and the small square has sides of length y.
To Find :
The value of x and y.
Solution :
From attached figure perimeter is given by :
x + x + x + y + y + y + ( x-y ) = 300 ft
4x + 2y = 300
2x + y = 150 ...1)
Now, area is given by :
A = x² + y²
x² + y² = 4500 ...2)
Putting value of y in equation 2), we get :
[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]
y = 150 - ( 2× 60 )
y = 30 ft
Therefore, the value of x and y is 60 ft and 30 ft respectively.
2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!
Answer: x= -8 or x = 1/2
Step-by-step explanation:
2x^2 + 15x = 8 Subtract 8 from both sides to let the whole equation equal 0
- 8 -8
2x^2 + 15x - 8 = 0 Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1. 16 times -1 is -16 and 16 plus -1 is 15.
Rewrite the whole equation in this form,
2x^2 +16x - 1x - 8 = 0 Factor on the left side
2x ( x + 8) -1 (x + 8) = 0 Now factor out x + 8
(x + 8) (2x -1) = 0 Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.
x + 8 = 0 or 2x - 1 = 0
-8 -8 +1 +1
x = - 8 2x = 1
x = 1/2
Help me and I give brainliest
the answer is b&d. hope that helps!
list all the factors of 8 from least to greatest for my brother
Answer:
1,2,4,8
Step-by-step explanation:
8/1=8
8/2=4
8/4=2
2 and 4
Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8
Solve the inequality. Graph the solution.
-11>m+4 or 2m≥-16
Answer: Exact Form:
m
=
31
12
Decimal Form:
m
=
2.58
¯
3
Mixed Number Form:
m
=
2
7
12
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
Sam read 3/8 of a book in 3/4 of an hour. At this rate, how long will it take him to read the whole book?
Step-by-step explanation:
the answer is 1 and a half hours
23.82600 round off to two decimal place
Answer:
23.83......the 6 is greater than 5 so the 2 turns 3
Step-by step
.
If the mass of an object on Earth is 18kg what would the mass of the same object be on the Moon?
A. 18kg
B. 6kg
C. 108kg
D. 3kg
Answer: 18kg
Step-by-step explanation:
Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.
In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.
If the percent is 37.5% what's the fraction & decimal?
Answer:
as a fraction it is 3/8 and as a decimal it is 0.375
Step-by-step explanation:
help please!!!!!!!!!!!!!!
The roots of the equation 2x^2 -12x+12 =-3
Answer
Step-by-step explanation find the roots of the equation by solving for x
Water is filling a ditch at a rate of 2 gallons per minute. Complete the table of equivalent ratios for the first 5 minutes of the ditch filling up.
Answer:
2 4 6 8 10
1 2 3 4 5
Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply 2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.
I need help please (;´༎ຶٹ༎ຶ`)
What is an equation of the line that passes through the points (-6,-8) and
(-3,-3)? Put your answer in fully reduced form.
A pair of shoes is on sale for 90% off. If the original price is $37.00, what is the sale price?
Answer:
3.70 The difference is 33.30
Step-by-step explanation:
Plsss help I’ll give u brainlest and 10 points
Answer:
D
Step-by-step explanation:
At least = Less than sign
At most = Greater than sign
Both include the -6 and 9. (Closed dots)
Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money deduct from his salary? What was the salary for Bob after the income tax?
Answer:
i. $97.4ii. $1412.6Step-by-step explanation:
step one:
given data
Bob's monthly salary is $1510
tax= 6.45%
Required
The deduction and his take-home salary
Step two:
let us compute the deduction
=6.45/100*1510
=0.0645*1510
=$97.4
Let us compute his take home
=monthly salary- tax deduction
=$1510-$97.4
=$1412.6
a copy machine can print 810 copies every 9 minutes. A laser printer printed 1,350 copies. How long did it take to print?
Answer:
15
Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.
i need the slope intercept for this equation
Answer:
y= 1/2x+2
Step-by-step explanation:
I hope it's right!
Answer:
the slope intercept form is y=1/2x+2
Factor each Polynomial
Answer:
2(+2)(+3)
Step-by-step explanation:
Answer:
[tex]\huge\boxed{ \sf 2x (x+3)(x+2)}[/tex]
Step-by-step explanation:
[tex]\sf =2x^3+10x^2+12x\\\\Take \ 2x \ common\\\\=2x(x^2+5x+6)\\\\By \ mid-term \ break \ formula\\\\=2x(x^2+3x+2x+6)\\\\=2x[x(x+3)+2(x+3)]\\\\Take \ (x+3) \ common\\\\= 2x (x+3)(x+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807