Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.
The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.
Answer:
a)The number of sides of the polygon = 9 sides
b) The size of each exterior angle = 40°
Step-by-step explanation:
The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.
a) The number of sides of the polygon
We solve using the formula
S = ( n - 2 ) × 180 °
Where S = Sum of the Interior angles = 1260°
1260° = (n - 2) × 180°
Divide both sides by 180°
1260°/180° = n - 2
7 = n - 2
n = 7 + 2
n = 9 sides
b) The size of each exterior angle
The sum of each exterior angle of a polygon = 360°
Hence, size of each exterior angle = 360°/number of sides of the polygon
= 360°/9
= 40°
find two numbers if their sum is 115 and their difference is 7
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?
Answer:
(10,6)
There are 10 sheep and 6 chickens.
Step-by-step explanation:
Let y represent the number of chickens.
Let x represent the number of sheep.
1) Form a system of equations
"There are 16 animals in total"
⇒ [tex]x+y=16[/tex]
"The number of chickens is 4 less than the number of sheep"
⇒ [tex]y=x-4[/tex]
2) Substitute equation 2 into equation 1
[tex]x+(x-4)=16[/tex]
Solve for x
[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]
Therefore, there are 10 sheep.
3) Solve for y
[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]
Therefore, there are 6 chickens.
The ordered pair (10,6) represents the number of chickens and sheep.
I hope this helps!
Round 47.44 to 1 decimal place
Answer:
47.4 is the correct answer.
Step-by-step explanation:
Helpful?❤️
Answer:
47.4
Step-by-step explanation:
47.44
47.40
47.4
A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{16,\text{cm}}16cmstart color #ca337c, 16, start text, c, m, end text, end color #ca337c. What is the central angle measure of the sector in radians? Choose 1 answer: Choose 1 answer:
Answer:
3/8 π radians
Step-by-step explanation:
The Area of a sector when then central angle is in radians = 1/2r² θ
Where
θ = central angle = ?
r = 16 cm
Area of the sector = 48πcm²
Hence
Central angle = Area of a sector ÷ (1/2r²)
= 48πcm² ÷ (1/2 × 16²)
= 48πcm² ÷ 128
Central angle = 3/8π radians
Therefore, Central angle = 3/8π radians
Which statement describes the solutions of this equation?
A. The equation has no valid solutions and two extraneous solutions
B. The equation has one valid solution and no extraneous solutions
C. The equation has one valid solution and one extraneous solution
D. The equation has two valid solutions and no extraneous solutions
Answer:
D
Step-by-step explanation:
Solve for f
-5f + 5 < 15
-------------------
A: f < 2
B: f < 8
C: f > -2
D: f = 3
Answer:
f>-2
Step-by-step explanation:
-5f+5<15
Isolate f
-5f<10
Isolate
-f<2
Because f is negative we have to flip the sign
f>-2
If this helps please mark as brainliest
the total of a number m and a number n
Answer:
m+n
Step-by-step explanation:
Given the numbers 24 and 18 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest tenth (1 decimal place)
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
What is the actual width of the painting?
What is the actual height of the painting?
On the scale drawing, the top edge of the "H" is inches from the top edge of the drawing. What is the actual height of the "H"?
What is the actual width of the "H" (through the center)?
What is the actual distance from the left edge of the painting to the left edge of the "H"?
actual width of the painting: inches
actual height of the painting: inches
actual height of the "H"?: inches
actual width of the "H" (through the center): inches
actual distance from the left edge of the painting to the left edge of the "H": inches
text mentions a scale model... wich we can't see here unless you post it
Can someone help me find the values of x and y for this quadrilateral?
Answer:
x = 98; y = 112
Step-by-step explanation:
Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.
x + 82 = 180
x = 98
y + 68 = 180
y = 112
probability, please help i will give brainliest
The CUBE ROOT of a number is -1. What is the number? *
Answer:
The number is -1
Answer:
i
Step-by-step explanation:
Which statement is true about Angle C P B?
Answer:
Step-by-step explanation: the second answer im not vary sure but ist kinda resonable
PLEASE HELPPPPP
I WILL GIVE THE BRAINIEST THINGY
Answer:
The answer is the last one....
Step-by-step explanation:
Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...
if you do these problems in a class you are taught for sum/diff of cubes
the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...
"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite Always plus (that works) ....
bottom line here is that you answer needs cubes under the division, and the
end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer
math pls pls help help no trolls i really need this grade
Answer:
The second one is 3 and the third one is 8
Step-by-step explanation:
Just trust me
. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answer:
Isosceles
Step-by-step explanation:
please help me!!! y’all, i’m dying
Answer:
The answer is A.
Step-by-step explanation:
yes
Answer:
total 10th grades who are 15 years old would be 7 in the empty box
Step-by-step explanation:
2 plus 7 plus 10 is 19, simple math
What is the sum of – 2x2 – 5x + 3 and
- 4x2 + 4x – 6?
[tex] - 6 {x}^{2} - x - 3[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
-6x^2 - x - 3
Step-by-step explanation:
(-2x^2 -5x +3) + (-4x^2 + 4x -6)
open the brackets .Remember while opening the brackets signs also get multiplied .
=-2x^2 -5x +3 - 4x^2 + 4x -6
=-6x^2 -x -3
(minus * minus) sign=plus sign
(minus * plus) sign=minus sign
(plus * plus) sign=plus sign
(minus + minus) sign=plus
(plus + plus) sign=plus sign
An animal starts from rest and accelerates to its top speed in 7 seconds. It continues at this speed for 9 seconds and then slows to a stop in a further 4 seconds. Calculate the total distance that the animal travelled
Answer:
hggffffxdfffdsddfdohgfffdedss
A. X=3 m
B. X=5 m
C. X=6 m
D. X=9 m
Answer:
ok so we can divide 15 by 5 to get 3
so we know the building is 3 times bigger
so we multiply 3 by 3 to get 9
so the answer is D
Answer:
9
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
Letting h be the height of the tower
15 h
----- = ------
5 3
Using cross products
15*3 = 5h
Divide each side by 5
45/5 = 5h/5
9 = h
What is the radius and diameter of each circle ?
Please help
The following Circle Graph and table show the result of the survey conducted by Twin Groves Ice Cream parlor to find out the most popular ice cream flavor.
How does the Circle Graph misrepresent the data in the table?
A. Raspberry is the least popular flavor.
B. The two larger sections of the graph are not labeled correctly.
C. One of the flavors from the table is missing in the Circle Chart.
D. Peach is the next popular flavor after strawberry.
Answer:
The answer is most likely B..
Step-by-step explanation:
I do not know BUT I WANT TO KNOW
Answer:
B
Step-by-step explanation:
Just did the test
Hope I could help :)
[tex]\left[\begin{array}{ccc}3&4\\8&-5\end{array}\right] \left[\begin{array}{ccc}4&6\\3&0\end{array}\right][/tex] evaluate
Answer:
Step-by-step explanation:
Hope this helps u!!!
Help plz..And No links!! I repeat No links!!
HELP!! <3 Right now, the gym covers an area of x square feet. Ms.Lauren wants to increase the size of the gym by 20%. Which expression below could not be used to find the new size of the gym?
a) 1.20x c) .20x
b) x + .20x. d) x(1 + .20
Answer:
C
Step-by-step explanation:
0.20x only tells you 20% of the original gym size, not the increased size of the gym.
Answer:
Answer C can not be used to find the new size of the gym.
Step-by-step explanation:
Let's use process of elimination!
A is stating 1.20x, or 120% of x. This is correct, because we have x and then were increasing by 20%, which is just 120%. A is however not the answer because we are asking which expression below could not be used, and A could be used. B is also incorrect because of what I just stated, x + 0.20x is the same thing as 1.20x. C is 20% of x, but that won't get us the answer. C is the correct answer since it cannot be used to find the new size of the gym, but if you really want to you can check answer D as well. In answer D you can distribute the x to the 1 and the 0.20, and you get x + 0.20x, which is the same as answer B. Therefore C is the correct answer.
What is the conjugate? x - square root 2
Answer:
conjugate of (x-[tex]\sqrt{2}[/tex]) is (x+[tex]\sqrt{2}[/tex])
Step-by-step explanation:
5,126 divided by 12 with remainder
Given m || n, find the value of x and y
Answer:
x = 15, y = 50
Step-by-step explanation:
8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then
2x + 18 + 8x + 12 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
8x + 12 = 8(15) + 12 = 120 + 12 = 132
3y - 18 and 8x + 12 are vertical angles and are congruent, so
3y - 18 = 132 ( add 18 to both sides )
3y = 150 ( divide both sides by 3 )
y = 50
X = 15
Y = 50
(8x+12) + (2x+18) = 180 -- combine like terms
10x + 30 = 180 -- subtract 30 from both sides
-30 -30
10x = 150 -- divide by 10 on both sides
x = 15
and for y:
plug x into (8x+12)
8(15) + 12 = 3y - 18
120 + 12 = 3y - 18
132 = 3y - 18 -- add 18 to both sides
150 = 3y -- divide both sides by 3
y = 50
How many times larger than
(15 + 10) is 8 x (15 + 10)?
Answer:
8 times larger
Step-by-step explanation:
(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.