Answers
Answer:
a.(10,23)
b.(7,30)
e.(20,20)
Step-by-step explanation:
We are given that
x=Width of garden
y=Length of garden
According to question
[tex]x\geq 5[/tex]
[tex]y\geq 20[/tex]
Perimeter of rectangle=[tex]2(x+y)[/tex]
Where x=Width of rectangle
y=Length of rectangle
Fencing used =[tex]2(x+y)[/tex]
[tex]2(x+y)\leq 80[/tex]
First we change inequality into equality
[tex]x=5[/tex]...(1)
[tex]y=20[/tex]...(2)
[tex]2(x+y)=80[/tex]
[tex]x+y=40[/tex]...(3)
Substitute x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 and y=0 in equation (3)
[tex]2(x+y)\leq 80[/tex]
[tex]0\leq 80[/tex]
It is true. Therefore, the shaded region below the line.
[tex]0\geq 5[/tex]
[tex]0\geq 20[/tex]
These are false equation .Therefore, the shaded region above the line.
Substitute x=5 in equation (3)
[tex]5+y=40[/tex]
[tex]y=40-5=35[/tex]
Substitute y=20 in equation (3)
[tex]x+20=40[/tex]
[tex]x=40-20=20[/tex]
Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).
Now,
a.(10,23)
Substitute in
[tex]2(x+y)\leq 80[/tex]
[tex]2(10+23)\leq 80[/tex]
[tex]66\geq 80[/tex]
10>5 and 23>20
it satisfied all inequality.
Hence, it is a solution.
b.(7,30)
7>5
30>20
[tex]2(7+30)=74<80[/tex]
it satisfied all inequality.
Hence, it is a solution.
c.(18,25)
18>5
25>20
[tex]2(18+25)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
d.(8,35)
8>5
35>20
[tex]2(8+35)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
e.(20,20)
[tex]2(20+20)=80[/tex]
20>5
20=20
it satisfied all inequality.
Hence, it is a solution.
Related Questions
1. What percent of 200 is 0.5?
Answers
Answer:
Step-by-step explanation:
My guess is % 1/400
Answer:
0.5 is 0.25% of 200.
Step-by-step explanation:
1 is 1/200 of 200.
Therefore, 0.5 is 1/400 of 200.
1/400 = 0.0025 = 0.25/100
Therefore, 0.5 is 0.25% of 200.
What is the value of the
expression below if a = -4, b = 5?
Answers
Answer:
56
Step-by-step explanation:
2a^2b+5ab-4
substitute a & b:
2(-4)^2(5)+5(-4)(5)-4
2(16)(5)+5(-4)(5)-4
160-100-4=56
Sorry if it’s wrong
Julio bought 7 science fiction novels (s) and 7 comic books (c) from the bookstore. His purchases can be represented by the expression 7(s + c). Part A: Simplify the expression by using the distributive property. Part B: The cost of a science fiction novel is $5.99 and the cost of a comic book is $6.49. Sales tax is 6%. What is the total amount that Julio spent at the bookstore? Round your answer to the nearest cent. Show your work.
Answers
Answer: See explanation
Step-by-step explanation:
A. 7(s + c)
= 7s + 7c
B. The cost of a science fiction novel is $5.99 and the cost of a comic book is $6.49. Sales tax is 6%. The total amount that Julio spent at the bookstore would be calculated as:
= 7s + 7c
= 7($5.99) + 7($6.49)
= $41.93 + $45.43
= $87.36
We then add tax which will then be:
= $87.36 + (6% × $87.36)
= $87.36 + (0.06 × $87.36)
= $87.36 + $5.24
= $92.60
find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]
Answers
Given:
Consider the given square is
[tex](2xy+5y)^2[/tex]
To find:
The value of given square by using the identities.
Solution:
We know that,
[tex](a+b)^2=a^2+2ab+b^2[/tex] ...(i)
We have,
[tex](2xy+5y)^2[/tex]
Using the identity (i), we get
[tex](2xy+5y)^2=(2xy)^2+2(2xy)(5y)+(5y)^2[/tex]
[tex](2xy+5y)^2=4x^2y^2+20xy^2+25y^2[/tex]
Therefore, the value of given square expression is [tex]4x^2y^2+20xy^2+25y^2[/tex].
9/4 - 17/6= ?
Can someone please help me?
Answers
Answer:
-0.58333333333
Step-by-step explanation:
Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 6
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 1 2
3 0 1 1
Product of all
Prime Factors 4 6 12
Least Common Multiple:
12
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 3
Right_M = L.C.M / R_Deno = 2
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 9 • 3
—————————————————— = —————
L.C.M 12
R. Mult. • R. Num. 17 • 2
—————————————————— = ——————
L.C.M 12
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9 • 3 - (17 • 2) -7
—————— = ——
12 12
[tex]\frac{-7}{12}[/tex] = -0.58333333333
I would really appreciate if someone would help me i don’t understand
Answers
Answer:
D. 48
Step-by-step explanation:
In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.
This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.
PLWASE HELP ME THIS IS DUE TODAY
Find the area of the shaded region. Use 3.14 for it. 8 cm 8 cm
Answers
Remember: Area of the circle= 3.14 x r^2
if you don't understand some passage write in the comments of my answer ;)
Zeth has $32.12 in his change
jar on Monday after he went
out to eat on Sunday
afternoon. If on Sunday he
had $40.55, how much did
Zeth spend?
Answers
I need help with this probability question.
Answers
Answer:
20/total (u can calculate it)
Step-by-step explanation:
Number of dogs/Total number of pets
Cindy is make a display for a project. She plans on 100 stickers that are 2 inch by 2 inch square on a poster board. The poster board she is using has a length of 3 feet and width of 2 feet. Does she have enough room for all her stickers
Answers
Answer:
YES
Step-by-step explanation:
the dimensions of the poster board has to be converted to inches to add comparability
1 feet = 12 inches
3 x 12 = 36 inches
width = 2 x 12 = 24 inches
Area = length x breadth
36 x 24 = 864 cm^2
area of sticker = 2 x 2 = 4cm^2
Number of stickers that can be put on the board = 864 / 4 = 216
216 is greater than 100. So the board has enough room for the stickers
I only need help with 10
Answers
Answer:
im pretty sure its a,e and i,d
Step-by-step explanation:
6. At the Winter Olympics, the ratio of Canadian medals to US to Russia was 1:8:5. If Russia won 25
medals, how many did Canada and US won?
Answers
Answer:
Step-by-step explanation:
Let x be the total number of medals won by the Russians.
The way to do this is to add the ratios together
1 + 8 + 5 = 14
(5/14) x = 25
Multiply by 14
5*x = 25 * 14
5x = 350
divide by 5
70
8/14 = x / 70
14x = 8 * 70
14x = 560
x = 560 / 14
x = 40
The USA won 40 medals.
1/14 = x / 70
14x = 70
x = 5
Canada Won 5 medals.
Check
Russia Won 25 medals
Canada Won 5 medals
USA Won 40 medals
Total 70
y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step
Answers
Answer:
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ok
helpppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
lets talk first
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
u just mutilpy 1/52 by 2 = 1/26 by 2 = 1/13 by 2= 2/13 by 2- 4/13
Macy makes 15 of 20 free throws at basketball practice. What is the experimental probability that she will miss her next free throw?
Answers
Step-by-step explanation:
she might lose 1/4 of the next free throws
I WILL GIVE BRAINLIEST!!!
Answers
Answer:
Just watch the video
Step-by-step explanation:
There are 3 green marbles and 15 blue marbles in a bag. What is the ratio of green marbles to total number of marbles? Select all the equivalent ratios that represent this relationship.
Answers
Good Luck!
Can anyone help me please
Answers
Answer:
-4/9
Step-by-step explanation:
find two points that cross perfectly and take the ys and subtract and take the xs and subtract and then do y/x
Hope this helps :)
Suppose that y varies directly as the square root of
x, and that y = 16 when x = 4. Find x when
y = 24.
Answers
Answer:
x is 6
Step-by-step explanation:
x is 1/4 of y. so divide 24 by 4 and get 6
Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.
Answers
Answer:
Ok so its -3;3
Step-by-step explanation:
Can someone simplify this equation and solve for x and y?
(2x-5)+(y-1)+x=169
Answers
Answer:
Answer
2x+3y=14,2x−3y=2
Adding :
2x+3y=14
2x−3y=2
__________
4x=16
x=4
∴xy=4×2
=8
2×4+3y=14
8+3y=14
3y=6
y=2
Step-by-step explanation:
here you go
Answer: The y-intercept is found by substituting known values for x and y in the equation and solving for b. the known values are (x,y) = (2,8.4) Equation of y = 4.2*x + b becomes 8.4 = 4.2*2 + b
Step-by-step explanation:
What is the sale price of a bottle of olive oil originally priced at $6?
Answers
Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.
Step-by-step explanation:
what is the answer to 3x + 4y - 2g + s
Answers
there isn't an answer since all the letters are different and you can't add or subtract or do anything to uncommon values. 3x+x = 4x but u can't do 3x +y because they're not in common
What is the value of x ?
7x– 5 = 4x - 14
Answers
Answer: X is equal to -3
Step-by-step explanation: I isolated x and then divided both sides by x
What is a value of \sqrt(7) inches to the nearest hundredth?
Answers
Answer:
2.65
Step-by-step explanation:
Using a calculator's square root key, we get √7 = 2.64575....
To the nearest hundredth, that'd be √7 = 2.65.
If there is a 70% chance that it will snow today, what is the percent chance that it
will NOT snow today?
Answers
Answer:
30%
Step-by-step explanation:
100-70=30
Answer:
i dunno 30%?
Step-by-step explanation:
f(x) = –27 + 9.23 + 3x is even, odd or neither.
Answers
Answer:
The function is neither odd nor even
Step-by-step explanation:
Please help with this question (10 points)
Answers
Answer:
48 in.
Step-by-step explanation:
We know that the dimensions are 144 by 96.
144 = 96(quotient) + remainder,
144 = 96(1) + 48
Solution: side of largest square = 48
write an equivalent expression for 55+15n.
Answers
Divide both by 5
11+3n
Answer:
5(11+3n)
Step-by-step explanation:
divide the whole equation by 5
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Answers
Answer:
3--1/-2-4=4/-6=2/-3
y=-2/3x+b
-2*-2/3=4/3
3-4/3=5/3
y=-2/3x+5/3
Step-by-step explanation:
Answer:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
We want to find the equation of the line that passes through the two points:
(4, -1) and (-2, 3).
First, we will find the slope of the two points. So:
[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]
Now, we will use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Use either point. I'm going to use (4, -1). So, substitute:
[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]
Simplify and distribute:
[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]
Subtract 1 from both sides. Therefore:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]