Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be PQRS
Let the region inside the garden (PQRS) be KLMN.
Given the following data;
Length of sides of PQRS = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of PQRS = 90 * 90
Area of PQRS = 8100m²
To find the area of KLMN;
KL = KN = 90 - (5 + 5)
KL = KN = 90 - 10
KL = KN = 80m
Area of KLMN = KL * KN
Substituting into the equation, we have;
Area of KLMN = 80 * 80
Area of KLMN = 6400 m²
Area of path = Area of PQRS - Area of KLMN
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * Cost
Total cost of cementing the path = 1700 * 10
Total cost of cementing the path = Rs. 17,000
PLEASE HELP WILL GIVE BRAINLIST
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Write an expression for "12 times 1."
expression for "12 times 1." -> 12*1
What is 20/5(2) I have nooooo idea lol
Answer:
8
Step-by-step explanation:
20 ÷ 5 × 2 = 8
_________________
( 20 ÷ 5 = 4 × 2 = 8 )
full equation ^^
Help
Don’t use for points or will take it back
Answer:
134=2x
X= 67
hope it helps
A 90-foot wire runs from the top of a cell phone tower to the ground 63 feet from the base of the tower. approximately how tall is the cell phone tower?
Answer:
Step-by-step explanation:
Height = √(90^2-63^2) = √4131 ≈ 64 ft
Can you solve this as soon as possible please
Richie is planting a rectangular garden with a perimeter of 39 feet. The length is twice the width. Find the dimensions of the garden
Answer:
l=13 ft
w=6.5 ft
Step-by-step explanation:
a rectangular garden would have 4 sides
two of the sides are x feet long
and the other two sides are 2x feet long
therefore
x+x+2x+2x=39
which is the same as saying
6x=39
divide both sides by 6 to get
x=6.5
so the width is 6.5 feet and the length is twice that or 13 feet
If 17 ounces of cocoa are needed for 6 cookies, how many ounces of cocoa is needed for 8 cookies?
Answer:
22 and 2/3
Step-by-step explanation:
17/6= 2.8333333
2.8333333333 multiplied by 8= 22.66666666 or 22 and 2/3
Use the Rythagorean Theorem to find the length of
the leg in the triangle shown below.
13
5
Ruby bought two chicken wings for $4 what was the cost of the Wings in dollars per wing?
Answer:
the cost per wing is $2
Step-by-step explanation:
is 71.08 greater than 71.106
Answer:
no, 71.106 is greater
Step-by-step explanation:
71.08= 71 and 8/100
71.106= 71 and 10/100
71.106's fraction is larger
Find the measure of angle KLH pls help
Completely factor the following expression 2 2 - 7x + 12. (1 point)
O (2 + 4) (x - 3)
O (2 - 4) (2+3)
O (+4)(+3)
O (2-4) (
23)
Answer:
(x-4)(x-3)
Step-by-step explanation:
x^2 - 7x + 12
Find what will multiply to make 12 and add to -7
(x - 4)(x - 3)
1-5 PLEASE SHOW WORK!! I will mark brainliest and a lot of points!!
Answer:
Step-by-step explanation:
2. -x+4+3x+2=2x+6
3. -x-2-4x-3=-5x-5
4.-36-24=-60
5. 9+10-6-6=7
9.2384E6 in standard form
Answer:3.294. Hope this helps!
Step-by-step explanation:
Find x.
2x + 40
Зх.
4x
X + 50
x = [?]
Answer:
x=122
Step-by-step explanation:
Why is 3 x 1/10 less then 3x 10
Answer:
Beause In the first equation 3 is being multiplied by .1 and the second equation is being multiplied by 10
Step-by-step explanation:
1/10 In decimal for is .1 and .1 times 3 is .3
3 times 10 is 30 so therefore 3 x 1/10 less then 3x 10
In a survey of 2,700 people who owned a certain type of car, 1,350 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
To solve this you would do 1350/2700 which is 50%
What is the value of the expression
Зр divided by8 + 4 when p is 32?
Answer:
-4
Step-by-step explanation:
Divide each side by '-1'.
p = -4
Simplifying
p = -4
9/10 ÷ 4/10 = ???????????
Answer:
2 1/4 or 9/4
Step-by-step explanation:
9/10÷4/10= 9/10*10/4
now simplify the 10
9/1 * 1/4= 9/4
now turn it into a mixed number
2 1/4
Answer:
2.25, 9/4 or 2 1/4
Step-by-step explanation:
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1
from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat
Step-by-step explanation:
Height of tower - 80m
Distance between foot of tower and boat 1 = x
Distance between boat 1 and boat 2 =y
Tan 45 = 1 = 80/x
x = 80
Tan 30 = 1 / root 3 = 80 / 80 + y
y = 80 root 3 + 80
True or false ; 3/4 > 0.65
true
oops, i read it wrong LOL, it's true. .65 is less than .75
ven the diagram below, find the value of x:
a
27.5
b
62
c
8.5
d
31
Answer:
D) 31
Step-by-step explanation:
2x-7+2x+63=180
4x+56=180
4x=180-56
4x=124
x=124/4
x=31
Answer:
(d) x = 31
Step-by-step explanation:
(2x)° + (2x - 7)° + 63° = 180°
4x - 7 + 63 = 180
4x = 180 - 56
4x = 124
x = 31
A survey was conducted to find the frequency with which people go to the movies. A group of 120 people in a mall were asked about how often they go out for a movie and It was found that 36 people go to movies at least once in a month. Which of these is an example of descriptive statistics
Answer:
30% of the people surveyed in the mall go to movies at least once in a month
Step-by-step explanation:
A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month
Here 30% come from
= 36 ÷ 120
= 30%
Solving linear equations
Answer:
1. P = [tex]\frac{I}{rt}[/tex]
2. y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex] (depending on how you want the equation arranged)
3. c = [tex]\frac{a-bd}{b}[/tex]
4 t = [tex]\frac{A - p }{pr}[/tex]
Step-by-step explanation:
1. I =Prt for P:
I = Prt divide both sides by rt to isolate P
P = [tex]\frac{I}{rt}[/tex]
2. 3x + 11y = 6 for y
3x + 11y = 6 subtract 3x from both sides
11y = 6 - 3x divide both sides by 11
y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex] depending on how you want the equation arranged
3. a = b(c + d) for c
a = b(c + d) distribute b to (c+d)
a = bc + bd subtract bd from both sides
a - bd = bc divide both sides by b
c = [tex]\frac{a-bd}{b}[/tex]
4. A = p + prt for t
A = p + prt subtract p from both sides
A - p = prt divide both sides by pr
t = [tex]\frac{A - p }{pr}[/tex]
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
seventeen degrees(17⁰)
A rectangular piece of tin has an area of 1056 square inches. A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 2052 cubic inches, what were the original dimensions of the piece of tin. PLEASE SHOW WORK
Answer:
44 inches and 24 inches
Step-by-step explanation:
Let [tex]l,b[/tex] denotes length and breadth of a rectangle.
[tex]lb=1056[/tex]
A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.
New length [tex]=l-6[/tex] inches
New breadth [tex]=b-6[/tex] inches
Height of box [tex]=3[/tex] inches
Volume of box = length × breadth × height
[tex](l-6)(b-6)3=2052[/tex]
[tex]lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l[/tex]
Put [tex]b=68-l[/tex] in [tex]lb=1056[/tex]
[tex]l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44[/tex]
At [tex]l=24,b=\frac{1056}{24}=44[/tex] inches
At [tex]l=44,b=\frac{1056}{44}=24[/tex] inches
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
Answer:500
Step-by-step explanation:
There are 100 production runs from each plant should be ordered to minimize the cost.
What is Production?
The process of making or manufacturing goods and products from raw materials or components is called Production.
The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.
And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.
And, A customer needs at least 100 tons of LP and 180 tons of HP,
Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,
= (0, 180), (40, 60), (100, 0).
Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.
So, There are 100 production runs from each plant should be ordered to minimize the cost.
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