Answer:
The shortest side of the fence can have a maximum length of 80 feet
Step-by-step explanation:
Inequalities
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
[tex]2x + 2y \le 500[/tex]
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
[tex]2(10 + 2y) + 2y \le 500[/tex]
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
[tex]20 + 4y + 2y \le 500[/tex]
Simplifying:
[tex]20 + 6y \le 500[/tex]
Subtracting 20:
[tex]6y \le 500 - 20[/tex]
[tex]6y \le 480[/tex]
Solving:
[tex]y \le 480 / 6[/tex]
[tex]y \le 80[/tex]
The shortest side of the fence can have a maximum length of 80 feet
Warm-Up
Active
Finding the Slope of a Line
What is the slope of a line that contains the points (1
9) and (4, 3)?
10
The slope of the line is
a.5
b. -2
c. 6
d. -3
The answer is b.) -2
Answer:
slope would be -2
Step-by-step explanation:
slope formula
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]
We know: (1, 9) and (4, 3)
plug in the numbers
[tex] \frac{9 - 3}{1 - 4} [/tex]
subtract
[tex] \frac{6}{ - 3} [/tex]
divide
[tex] - 2[/tex]
Tadaaaa
find the square root of 144
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
can simplify this please 3−10(4p−1)
Answer:
- 40p + 13
Step-by-step explanation:
Given
3 - 10(4p - 1) ← distribute the parenthesis by - 10
= 3 - 40p + 10 ← collect like terms
= - 40p + 13
Wht Is a fraction equivalent to 0.4 repeating its self
4/9 is the answer
hope this helps
the grade 8 has hired a disk jockey the disk jockey takes 85$ plus 2 for each student that attends. The disk jockey was paid 197 how many students attended
Answer:
56 students
Step-by-step explanation:
The equation for your question is 85+2x=197. First you would have to subtract 85, on both sides, leaving you with 2x=112. Then, you'd have to divide by 2 on both sides to isolate the variable. From there, you're left with x=56.
Evaluate the arise tic
series described:
12. 0,= 300, n = 25 (please help)
The frequency vibrations for a certain guitar string When is blood can be determined by the equation below, Where F is the number of vibration per second and T is measured in pounds.If the frequency of the vibrations is 600 vibrations per second, How many pounds of tantrums was used to plug the string? F = 200sqrt(T)
Answer:
9 poundsStep-by-step explanation:
Given the frequency vibrations for a certain guitar string modeled by the equation
F = 200√T where:
T is amount of tantrums in pounds
If the frequency of the vibrations is 600 vibrations per second, the amount of pounds in tantrums will be gotten by substituting F = 600 into the equation and calculating T as shown:
600 = 200√T
Divide both sides by 200
600/200 = 200√T /200
3 = √T
Square both sides
3² = (√T)²
9 = T
T = 9
Hence 9 pounds of tantrum was used to plug the string
Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options.
Answer:1,2,3
Step-by-step explanation:
Answer:
1. Jorge’s weight change was approximately 5%.
2.Marie’s weight change was approximately 14%.
3.Marie had the greater percent change.
Step-by-step explanation:
edge 2021
Example The double number line shows the amount of clay Jamal uses to make different numbers of identical bowls. Is there a proportional relationship between the amount of clay and the number of bowls? If so, what is the constant of proportionality for pounds of clay per bowl? Clay (pounds) 0 H 2 233 + + + 5 Bowls 0 1 2 3 4 6 All of the ratios for clay: bowls are equivalent. So, there is a proportional relationship. All of the ratios have the same rate, į pound of clay per bowl. The constant of proportionality is 3 1 a. Write an equation representing the pounds of clay, c, that Jamal from the Example needs to make b bowls. V b. Explain how to find the amount of clay Jamal needs to make 8 bowls.
Answer:C: 2/3 B
Step-by-step explanation:
The answers will be ;
a) The required equation will be c = [tex]\frac{2}{3}[/tex] b
b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.
It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.
We have to solve the subparts of the question to get the values.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds
a)
The equation for clay (c) to make b number of bowls will be ;
c = [tex]\frac{2}{3}[/tex] × b
or
c = [tex]\frac{2}{3}[/tex] b
b)
If there are 8 number of bowls
i.e., b = 8
Then ; amount of clay Jamal needs will be ;
c = [tex]\frac{2}{3}[/tex] × 8
c = [tex]\frac{16}{3}[/tex] pounds
or
c = [tex]5\frac{1}{3}[/tex] pounds
Thus , the answers will be ;
a) The required equation will be c = [tex]\frac{2}{3}[/tex] b
b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.
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Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P
charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must
be purchased in order for the total cost at Carnival M and Carnival P to be the same?
How do you understand
% ahh!!!
Answer:
what
Step-by-step explanation:
There are 4 quarters in 1 dollar the total number of dollars is a function of the number of quarters does this situation represent a linear or nonlinear function? Explain why
Answer:
sample answer: If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4
Step-by-step explanation:
The situation is a representation of the linear function.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.Given that,
One dollar is divided into four quarters.
The total number of dollars is a function of the number of quarters.
Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value
As a result, the slope should be 1/4.
y = 1/4x should be the linear function.
Hence, As a result, we can conclude that the situation is a linear function.
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need help w the circled ones plsssss
Answer: #1. yes it's a function #6. the graph is increasing at (-oo , 2) , #7. the graph is decreasing at (2,oo) ,
Step-by-step explanation:
hope it helps
6. It is increasing from (-infinity, 4) or ] i am not sure
7. It is decreasing from ( or [4, infinity)
If the arrow kept on going the f(-12) = x for example, f(4)=2
Important things to know f(x)=y and (x,y)
I am sorry that I can not help with the others!!!
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
What is the difference of –89.16 – 154.81?
–243.97
–65.65
65.65
243.97
Answer:
-243.97
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Lesson Summary - Rate problems, including constant rate problems, always count or measure something happening per unit of time. The time is always in the denominator. - Sometimes the units of time in the denominators of the rates being compared are not the same. One must be converted to the other before calculating the unit rate of each. -------------------------------------------------------------------------------------- Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet? Review the lesson summary before answering!
Answer:
5 seconds to walk 25 feet
Step-by-step explanation:
60/10=6
25/5=5
What is the maximum number of solutions each of the following systems could have?
Answer:
i need this answer too:(((
Step-by-step explanation:
Answer:
0,2,2,4
Step-by-step explanation:
2 1/2 divided by 5/2 = ?
Answer:
I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.
Step-by-step explanation:
Cómo se escribe el doble de un número en lenguaje algebraico
2) Caculate the unit rate. Paying $28 for 8 pounds of pears. What is the cost per pound of pears?
Answer:
28/8=3.50
Step-by-step explanation:3.50 per pear.
What would i^7 be simplified to?
Answer:
-I
Step-by-step explanation:
Find the distance (8,-7) (-4,-2)
Distance = 13 units
Point A: (8, -7)
Point B: (-4, -2)
[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]
[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]
[tex]\sqrt{144 + 25 }[/tex]
[tex]\sqrt{169}[/tex]
[tex]13[/tex]
Answer:
[tex]\boxed {d = 13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two following points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following onto the formula:
[tex](x_{1}, y_{1}) = (8, -7)[/tex]
[tex](x_{2}, y_{2}) = (-4, -2)[/tex]
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]
[tex]d = \sqrt{144 + 25}[/tex]
[tex]d = \sqrt{169}[/tex]
[tex]\boxed {d = 13}[/tex]
Therefore, the distance is [tex]13[/tex].
The sum of two consecutive numbers is 63. Find the two numbers.
Answer:
the two numbers are 31 and 32.
Step-by-step explanation:
x+(x+1)=63
2x+1=63
2x=62
x=31
The answers are 31 and 32
The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get
x + x+1 = 63
Simpifying, you get
2x+1 = 63
Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.
2x=62
Lastly, you need to divide both sides by 2, making making the equation
x=31
The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.
Problem 2 :
Abraham has two pieces of wire, one 6 feet long and the other 12 feet
long. If he wants to cut them up to produce many pieces of wire that
are all of the same length, with no wire left over, what is the greatest
length, in feet, that he can make them ?
fb + 3b = d solve for b
Answer: the answer is d/f+3
sorry i couldnt find my work for this problem but i hope it helps !
An equation is formed of two equal expressions. When in the given equation the value fo b is d/(f+3).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
fb + 3b = d
Take b as a common term from both the terms on the left side of the equation,
b(f + 3) = d
Divide both the sides of the equation by (f+3),
b(f + 3)/(f+3) = d/(f+3)
Simplify,
b = d/(f+3)
Hence, when in the given equation the value fo b is d/(f+3).
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What goes in the blank?
A always
B sometimes
C never
D rarely
Answer:
B
Step-by-step explanation:
Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
Mr green Drove 100 mies in 2 hours he continues to drive the same speed how long will mr green take to drive 400 more miles
Answer:
It would take him 8 hours
Since every 50 miles takes 1 hour
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▹ Answer
8 Hours
▹ Step-by-Step Explanation
First, find the unit rate:
100 miles ÷ 2 hours = 50 mph
Now, we need to find the time it takes to drive 400 miles so we will divide:
400 miles ÷ 50 mph = 8 hours
If you are looking for total hours, you would add:
2 hours + 8 hours = 10 hours
If you are looking for how long it'll take to drive the 400 miles, it would just remain 8.
Hope this helps!
CloutAnswers ❁
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why is number multiplied by it self called a square of a number
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)