Which expression is equivalent to 5x+10y-15
5(x-2y-3)
5(x+2y-10)
5(x+2y-3)
5(x+2y-15)
The price of fruits per kg are given below- Watermelon Rs 18.50 Cherry Rs 72 Grapes Rs 120.60 Apples Rs 78.40 Karan bought 412 kg watermelon, 1 kg 200g cherries,250g grapes and 134 kg apples .He gave a Rs 500 note to the shopkeeper .How much money did he get back?
Answer:
[tex]X=-2.74*10^{-7}Rs[/tex]
Step-by-step explanation:
From the question we are told that:
Table for price per Kg
Watermelon Rs 18.50
Cherry Rs 72
Grapes Rs 120.60
Apples Rs 78.40
Karan Bought:
412 kg watermelon
1 kg 200g cherries
250 g grapes
134 kg apples
Generally the equation for Total Price of Fruits Bought is mathematically given by
\sum (Price Rs* Weight kg )
[tex]\sum (P* W)=(412*18.5)+(1.2*72)+(0.25*120.60+(134*78.40))[/tex]
[tex]\sum (P* W)=27374289.78[/tex]
Therefore the Amount of Money he gets back is
[tex]X=500-\sum (P* W)[/tex]
[tex]X=-2.74*10^{-7}Rs[/tex]
Therefore
He owes the shop keeper 2.74 million Rs
Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
A.
$6,423.75
B.
$8,150.50
C.
$12,536.25
A cone and cylinder each have a height of 10 inches and a radius of 5 inches. If you filled the cone completely with water and poured it into the cylinder. How many times would it take until the cylinder is completely full with water?
Answer:
The times that would take until the cylinder is completely full with water by the cone are:
3 times.Step-by-step explanation:
To identify how many times we must fill a cone to fill completely a cylinder with the same height and radius, we must calculate the volume of the two containers and next divide the volume of the cylinder by the volume of the cone. To obtain the volume of the cylinder we can use the next formula:
Volume of a cylinder = [tex]\pi[/tex] * [tex]radius^{2}[/tex] * [tex]height[/tex]If we replace the values in the formula, we obtain:
Volume of a cylinder = [tex]\pi[/tex] *(5 inches)^2 * 10 inchesVolume of a cylinder = 785.4 inches^3 approximately.Now, we're gonna calculate the volume of the cone with the next formula:
Volume of a cone = [tex]\frac{\pi*radius^{2}*height }{3}[/tex]As you can see just with the formula, The volume of a cone is three times less than that of a cylinder (because we add the dividend 3 to it), but we're gonna replace and prove it:
Volume of a cone = [[tex]\pi[/tex] *(5 inches)^2 * 10 inches] / 3Volume of a cone = [785.4 inches^3] / 3Volume of a cone = 261.8 inches^3 approximately.And, if we divide the two volumes to obtain the times we need to fill the cone to fill completely the cylinder:
Times we need to fill the cone = 785.4 / 261.8Times we need to fill the cone = 3By this reason, you must fill completely a cone 3 times to fill completely a cylinder with the same radius and height.
If you flip a coin 30 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
15 times i think
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The diameter is the length of all the way across the circle. The radius is half of that.
the first circle
radius=17cm
diameter =17×2=34cm
second circle
radius=25mm
diameter =50mm
hopefully that helped
Line k is parallel to line I.
which angle is congruent to <4
Answer:
∠4 ≅ ∠1
Step-by-step explanation:
they are vertical angles and vertical angles have the same measure
Answer:
<1 is equal to <4
Step-by-step explanation:
Alternate angles are equal.
Hope that this helps!
please help me I need itttttttttt!!!!!!!!!
Answer:
x=115°
y=65°
Hope it helped<3
x = 115° [corresponding angles]
y = 180° - x = 180° - 115° = 65° [linear pair]
please help i need it real quick and i don't understand it
Answer:
3m × 4m:
Yellow flower: 12
Bush: 6
Total: 18
3m × 5m:
Yellow flower: 15
Bush: 8
Total: 23
Step-by-step explanation:
What is the answer to : 21 ÷ 1/2 of 14 =
Answer:
1/2 OF 14 =7
21/7 = 3
Step-by-step explanation:
10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.
Answer:
11.7 ft
Step-by-step explanation:
Remember the notation SOHCAHTOA
We would be using tan because we have been given the adjacent and we are to determine the opposite value
tan 40 = opposite / adjacent
0.8391 = opposite / 8
opposite = 0.8391 x 8
6.7
Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please find attached a diagram explaining this question
if a and b are roots of 3x2-6+2=0then find a+b
Answer:
a + b = 2
Step-by-step explanation:
Given
ax² + bx + c = 0 ( equation in standard form )
Then the sum of the roots = - [tex]\frac{b}{a}[/tex]
3x² - 6x + 2 = 0 ← is in standard form
with a = 3, b = - 6 , then
sum of roots = - [tex]\frac{-6}{3}[/tex] = 2
Answer:
[tex]I \ think \ it \ is \ 6x\\\\3x^2 - 6x +2 = 0\\\\[/tex]
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a} \\\\a = 3, b = -6, c = 2\\\\x = \frac{-b + \sqrt{b^2 - 4*a*c} }{2a}, x = \frac{-b - \sqrt{b^2 - 4*a*c} }{2a} \\\\ \\\\x = \frac{6 + \sqrt{36 - 24} }{6} , x = \frac{6-\sqrt{36 -24} }{6} \\\\[/tex]
[tex]x = \frac{6+\sqrt{12} }{6} , x = \frac{6-\sqrt{12} }{6} \\\\x = \frac{3+\sqrt{3} }{3} , x = \frac{3-\sqrt{3} }{3}[/tex]
[tex]Let \ a = \frac{3 + \sqrt{3} }{3} , b = \frac{3-\sqrt{3} }{3} \\\\a + b = \frac{3+\sqrt{3} }{3} + \frac{3-\sqrt{3} }{3} = \frac{3+\sqrt{3} +3-\sqrt{3} }{3} = \frac{6}{3} = 2[/tex]
I need the answer ASAP
Step-by-step explanation:
the correct answer is A
15 x 35
Answer:
A
Step-by-step explanation:
let width be w , then length l = w + 20
perimeter = 2w + 2l
= 2w + 2(w + 20) , so
2w + 2w + 40 = 100
4w + 40 = 100 ( subtract 40 from both sides )
4w = 60 ( divide both sides by 4 )
w = 15 and l = 15 + 20 = 35
Dimensions are 15 ft by 35 ft → A
Just help, my brain shutdown and its currently 9:51, so help me asap. <3
(05.05) Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared
Answer:
B hope this helps!
Step-by-step explanation:
Trust <3
Answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
What is the slope of these two points (5,-11) and (25,9)?
Answer:
[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]
Write the standard form of the equation of the circle with the graph shown to the right.
Answer:
(x+5)²+(y+5)² =4
Step-by-step explanation:
the standard equation is
(x-h)²+(y-k)²=r²
where (h, k) is the center in our case ( -5, -5) and r is the radius that in our case r=2, so substitute
(x+5)²+(y+5)²=2²
Answer:
[tex](x+5)^2+(y+5)^2=4[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius
1) Determine the center of the circle
On the graph, we can determine that the circle is centered at the point (-5,-5). Plug this into the equation:
[tex](x-(-5))^2+(y-(-5))^2=r^2\\(x+5)^2+(y+5)^2=r^2[/tex]
2) Determine the value of r²
In the graph, we can see that the radius of the circle is equal to 2 units. Therefore, the value of r² is 4. Plug this back into the equation:
[tex](x+5)^2+(y+5)^2=4[/tex]
I hope this helps!
Which choice is equivalent to the expression shown?
2(x+4)6 + 13
Question options:
A. x3+33
B. 2x9+59
C. 2x9+99
D. x3+53
Answer:
b
Step-by-step explanation:
Find the volume of the triangular prism
Thank you!!
Answer:
36 meters
Step-by-step explanation:
emoji math....................................
Answer:
ummmmm 12.......................
Step-by-step explanation:
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Answer:
22.5
Step-by-step explanation:
y=kx
20=k15
k=1•33
30=1•33x
x=22•5
12+[ 9 4/5 - ( 1.5 + 2 2/10)]
Someone please help me?
Answer:
18.1
The thing You NEEDED to do
Simplify or Evaluate Your AnswerHELP
In complete sentences, explain why correlation does not prove causation. Please have at least 3 complete sentences with proper punctuation, grammar, and capitalization.
Answer:
Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption
Help me with this question, please!
Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
Hi can some one help me !!
Answer:
50
Step-by-step explanation:
sorry to ask but can i get brainliest
Answer:
A) 50° ✔︎
Step-by-step explanation:
∠D=38°+12=50°
∠B=∠D
∠B=50°
-----------------
hope it helps...
have a great day!!!
Esmeralda Hasn't backed it in the shape of the screw is side of the magnet to 3 inches on what is the perimeter of her magnet
Answer:
12 INCHES
Step-by-step explanation:
Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
perimeter of a square = 4 x length
4 x 3 = 12 inches
Shows the termination of the parking lot of Helen healings health food store parking lot is how many square yards
Answer:
1100 yd²
Step-by-step explanation:
The parking lot can be divided into 2 rectangles :
Area of a rectangle = Length * Width
First rectangle :
Dimension = 40 yards by 20 yards
Area = 40 * 20 = 800 yd²
Rectangule 2 :
30 yards by 10 yards
Area = 30 * 20
Area = 30 * 10 = 300 yd²
Total area of parking lot :
800 + 300 yd²
= 1100 yd²
PLZZZZ HELPPPPPPPPPPPPPPPPPPP ASAPPPPPPP
Answer:
D. 15π
Step-by-step explanation:
Circumference is equal to diameter times pi,
so C = 15π
These sneakers are sold in two different stores. The sale price in Modell's is 30% off the regular price of $69.99. How much does it cost after the discount?
Answer:ok
Step-by-step explanation:
Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3
Answer:
Option (1)
Step-by-step explanation:
Given expression is,
[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]
Let the given expression is equal to y.
[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]
By applying logarithmic rule,
[tex](\frac{w^2}{w^6} )=w^y[/tex]
[tex]w^2\times w^{-6}=w^y[/tex]
[tex]w^{2-6}=w^y[/tex]
[tex]w^{-4}=w^y[/tex]
[tex]y=-4[/tex]
Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].
Option (1) will be the correct option.
Which algebraic expression represents the difference of e squared and twenty-one? A. E2+21 b.21 times e2 c. E2 - 21 d. 21 divided by e2
Answer: c. E2 - 21
Step-by-step explanation:
difference means to subtract
Now, e squared=E² and twenty-one=21
Therefore the difference of e squared and twenty-one is E2 - 21