Answer:
Step-by-step explanation:
2x-0=10
x=5
y=2
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.
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
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
How do I write a slope intercept form from a graph
Answer:
Depending on your question
Step-by-step explanation:
For example if its (4,-2) you go 4 up because it's positive and 2 down because its negative. After, you connect those two coordinates and get your FINAL answer after.
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
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)
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
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.
Tyler is making hiking snacks. He has 3 bags and puts 1 1/4
pounds of trail mix in each bag.3 • 1 1/4 =
Answer:
3 3/4 i think
Step-by-step explanation:
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
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
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.
find the scale factor of a drawing if the scale is 1 inch = 1/8 inch
Answer:
I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches
Step-by-step explanation:
The scale factor of the drawing if the scale is 1 inch = 1/8 inch is
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given that,
Scale of a drawing is,
1 inch = 1/8 inch
That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.
So, drawing is reduces by 1/8
So scale factor = 1/8
Hence the scale factor of the drawing is 1/8.
Learn more about Scale Drawings here :
https://brainly.com/question/17388747
#SPJ3
Kai calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how many minutes does Kai spend in school?
Answer:
500 minutes or
8 hours and 20 minutes
Step-by-step explanation:
If h(x) = 2x2 − 10, find h(3)
Answer:
8
Step-by-step explanation:
Plug in 3 for x and simplify
2(3)^2 - 10
18-10
=8
Answer: 8
Step-by-step explanation:
h(3) = 2x^2 - 10
h(3) = 2(3)^2 - 10
h(3) = 2(9) - 10
h(3) = 18 - 10
h(3) = 8
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
Help plzzzzzzzzzzzzzz
Answer:
∠P
Step-by-step explanation:
∠P is between NP and PE
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
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!
~AnonymousHelper1807Which system of equations has no solutions?
Answer:
The answer is simple it would be the 3rd one(2nd row to the left)
If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________
Answer:
x = ∞ infinite solutions or 0
HI = infinite solutions
ID = infinite solutions.
Step-by-step explanation:
Oh okay I got this now!
ID + HI = DH
ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)
ID - 4 = 2x + 10 (add 4 on both sides)
ID = 2x + 14
So now ID + HI = DH
2x + 14 + 2x - 4 = 4x + 10 (simplify)
4x + 10 = 4x + 10 (subtract 10 on both sides)
4x = 4x (minus 4x on both sides)
0 = 0
I would plug in 0 as x.
Hope this helps!
.
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.
What’s the correct answer?
Answer:
B
Step-by-step explanation:
What is true regarding two adjacent arcs created by two intersecting diameters? They always have equal measures. The difference of their measures is 90°. The sum of their measures is 180°. Their measures cannot be equal.
Answer:
The sum of their measures is 180°
Step-by-step explanation:
In the case when the similar circles are intersected to each other having two diameters so the following conditions would be considered as true
1. The arcs that are opposite would be equal
2. The sum of adjacent arcs would be 180 degrees
3 And, the sum of all arcs would be 360 degrees
So according to the given situation, the third option is correct
And, the rest of the options are incorrect
find slope and y-intercept formed the graph if the linear equation
y=1/4x-8
Answer:
not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.
Step-by-step explanation:
the slope is 1/4 while the y-intercept is -8 or (0,-8)
Answer: slope: 1/4
y-intercept: (0,-8)
Hope this helps and good luck :)
Step-by-step explanation:
i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!
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:
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:
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
. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What population does your function project at the end of 37 years?
Answer:
In 37 years the population will be 125,012
Step-by-step explanation:
Giving the following information:
Initial population (PV)= 67,000
Growth rate (g)= 1.7%= 0.017
Number of years (n)= 37
First, we will establish the future value (FV) formula:
FV= PV*(1+i)^n
FV= 67,000*(1.017^n)
Now, for 37 years:
FV= 67,000*(1.017^37)
FV= 125,012
In 37 years the population will be 125,012