Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole.
How to calculate the gain of selling dotpensWe know that Santosh sold 200 dotpens with a loss of 5 % and he must sell the remaining dotpens with an unknown surplus in order to obtain 10 % of the whole. The situation can be represented by the following expression:
[tex]-0.05\cdot (\frac{4500}{300} )\cdot (200) + x\cdot \left(\frac{4500}{300} \right)\cdot (100) = 0.10\cdot (4500)[/tex] (1)
[tex]-150+1500\cdot x =450[/tex]
[tex]x = 0.4[/tex]
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole. [tex]\blacksquare[/tex]
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Bearing........find the marked angles f and g
Answer:
Step-by-step explanation:
g is a central angle for arc PQ
= 2 * segment angle of arc PQ
= 2 * <PRQ
= 2 * (180 - 114)
= 2 * 66
= 132 degree
Drawing is a little confusing about f and assuming f is <PQO
<PQO = <QPO because OPQ is an isosceles triangle
The sum of interior angles of a triangle = 180 degree
f + f + g = 180
2f = 180 - 132 = 48
f = 24 degree
Edit: Thank you, fieryanswererft, for pointing out my mistake!
Answer:
g = 132° , f = 24°
Step-by-step explanation:
∠ PRQ = 180° - 114° = 66°
the central angle g is twice the angle subtended at the circumference on the same arc PQ , then
g = 2 × ∠ PRQ = 2 × 66 = 132°
Δ POQ is isosceles , 2 congruent sides , the radii OP and OQ
The base angles of the triangle are congruent , then
f = [tex]\frac{180-132}{2}[/tex] = [tex]\frac{48}{2}[/tex] = 24°
Kai knows that 50% of a number is 20. How could he use the information to determine what 150% of the number is?
Answer:
60
Step-by-step explanation:
100% of the num is 40
150%=1.5
So multiply 40 by 1.5
=60
Other way (confusing)
50x3=150
20x3=60
The required 150% of the number is 60.
Given that,
Kai knows that 50% of a number is 20, how could he use the information to determine what 150% of the number is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is percentages?the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Let the number be x,
It's 50 % is 20. i.e.
50% of x = 20
50 / 100 * x = 20
x / 2 = 20 (50 / 100 = 1 / 2)
x = 40
Now its 150%
= 150% of 40
= 150 / 100 * 40
= 15 / 10 * 40
= 15 * 4
= 60
Thus, the required 150% of the number is 60.
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In a telephone poll, 31 people said they like watching basketball and 13 people said they do not like watching basketball. What is the ratio of the number of people who do not like watching basketball to the total number of people polled?
Answer:
13/44 or about 29.5%
Step-by-step explanation:
Answer: 13 to 30
Step-by-step explanation: my gpa is 4.0
PLS I NEED HELP ASAP LIKE RN RN PLEASE ILL GIVE 100 POINTS ABD BRAINLYEST PLS HELP ME
Write the equations of each line in slope-intercept form.
Answer:
1) (the red) y= 3x +2
2) (the green) y= -1x + 4
Step-by-step explanation:
Slope intercept form: y = mx + b
where m is the slope and b is the y intercept.
you can find the slope by using the formula [tex]\frac{rise}{run}[/tex], where you use two points on the line and find the space between the two.
Pic 1 or has line that is orange
y=3x+2
Pic 2 or has line that is green
y=-1x+4
Slope intercept form is y=mx+b.
m=slope
b=y-intercept
For pic 1, the point which is intercepted at the y-axis is 2, so the y-intercept is 2.
To find the slope, we take two points, I'm using (-1,-1) and (-2,-4) and divide y2-y1 and x2-x1.
-4-(-1) / -2-(-1)
= -3/-1 = 3
b= 2
m= 3
y=3x+2
For pic 2, the point that is intercepted at the y-axis is (0,4), so the y-intercept is 4.
To find the slope, we take the two points (-2,6) and (-1,5) and divide.
5-6 / -1-(-2)
= -1/1 = -1
b= 4
m= -1
y=-1x+4
A store sold 10 notebooks for a total price $3.46. How much did each notebook cost?
Answer:
$0.346 each
Step-by-step explanation:
To find the unit price of each notebook you would divide 3.46 by 10 ending up with 0.346
WHAT IS THE AREA OF THE TRIANGLE???
Answer:
The answer is 10
Step-by-step explanation:
You will want to do 1/2B×h
Which is 1/2×4×5
How is a numerator and denominator the same?
When the numerator and denominator is same the answer will be always 1
For example:
[tex]\ \dfrac{3}{3} }[/tex], Here the numerator(3) and denominator(3) is same and equals to 1.
Radical example:
[tex]\ \dfrac{\sqrt{4} }{\sqrt{4} } }[/tex], Here the numerator(√4) and denominator(√4) is same and equals to 1.
Algebra example:
[tex]\dfrac{pq^2}{q^2p}[/tex] ,Here the numerator(pq²) and denominator(q²p) is same and equals to 1.
Answer:
The ~ numerator ~ represents the total number of parts taken into account. Now the ~ denominator ~ represents the total number of equal parts in a fraction!
Step-by-step explanation:
_Hope this helps_ :>
Use the properties of logarithms to expand the expression as a sum difference and or constant multiple of logarithms In z(z-1)^9,z>1
[tex]\begin{array}{llll} \textit{Logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \ln\left[ z(z-1)^9 \right]\implies \ln(z)~~ + ~~\ln[(z-1)^9]\implies \ln(z)~~ + ~~9\ln[(z-1)][/tex]
Please help me on number six
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]x-x(3x-5)=x-2(x^2+x)-x^2-14[/tex]
[tex]x-3x^2+5x=x-2x^2-2x-x^2-14[/tex]
[tex]-x[/tex] [tex]-x[/tex]
[tex]-3x^2+5x=-2x^2-2x-x^2-14[/tex]
[tex]-3x^2+5x=-3x^2-2x-14[/tex]
[tex]+3x^2[/tex] [tex]+3x^2[/tex]
[tex]5x=-2x-14[/tex]
[tex]+2x[/tex] [tex]+2x[/tex]
[tex]7x=-14[/tex]
[tex]\frac{7x}{7} =\frac{14}{7}[/tex]
[tex]x=-2[/tex]
Hope this helps!
Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need two pieces of fabric for each cushion. How many square feet of fabric will he need to cover the cushions? Use Pi = 3. 14 and round to the nearest square foot. Ft2.
The total fabric Morgan needs to cover the cushions will be 19.64 square feet.
It is given that each cushion has a circumference of 7.85 feet.
It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.
2πr = 7.85
r = 1.25
What is an area of a circle?area of a circle is πr².
now, we can calculate the area = π× 1.25² = 4.91 square feet
since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.
Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.
to get more about the area of a circle, refer to the link:
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Answer:
The answer is 20ft.
Step-by-step explanation:
Don’t fail your quiz
Instead read this non-paragraph answer
Plus technically the other person was right just they didn’t round it to the nearest tenth
this don't make sense answer fast
Answer:
it don't make sense that there isn't a question...
Step-by-step explanation:
Marsupials are animals that
A. Are foreign to a particular place
B. Are native to particular place
C. Carry their young in pouches
D. Have no natural predators
Please select the best answer from the choices provided
Hence, write down the equation with y as the subject (in terms of x). The value of m and q must be indicated.
Discuss whether it is possible that any devices are produced if the production cost is R 0,00
It is required that the production cost must be less than R 123 505. Determine the possible number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of your answer. Interpret your answer.
The production cost is an illustration of a quadratic function
The equation of the production cost is [tex]y = ax^2 + bx - c[/tex]
How to determine the equationFrom the complete question, we have the following parameters:
Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)Using the instructions in the complete question, the equation of the production cost would be:
[tex]y = ax^2 + bx -c[/tex]
Hence, the production cost is [tex]y = ax^2 + bx - c[/tex]
When the production cost is less than 123,505;
The equation becomes
[tex]ax^2 + bx - c < 123,505[/tex]
Read more about production cost at:
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4.Find the measure of arc DF in the figure.
Answer:
129 degrees
Step-by-step explanation:
Ok, DAE, as given, is 90 degrees. So, BAD would equal 90 as well, so BAC would be 90-51, 39. And because FAE is vertical angle to BAC, FAE is also 39. So 39 + 90 is 129.
I I need to find the surface area of this triangular prism.
Answer: P=5.2 h=3 B=2
Step-by-step explanation:
To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.
To solve x2- 10X +_+3+ — by
completing the square, what would you add on each side ?
Answer:
25
Step-by-step explanation:
You need to 25 on both sides for completing the square. It would give you the expanded form of (x - 5)².
Hope it helps.
;)
<3
(x2 – 7)(x2 – 4)
use FOIL to solve
[tex]x2 -7 * x2 - 4\\\\\\problem1\\x2 = 2 * number\\so\\2 * 2 = 4\\4 - 7 = 3\\problem1 = 3\\\\problem2\\2 * 2 = 4\\4 - 4 = 0\\problem2 = 0\\\\\\lastly\\3 * 0 = 0\\\\\\therefore,\\0.[/tex]
Note that the result may vary depending on the value you assign to x.
3/4+ 4x1 1/2 divided by 3
Answer:
The answer to this is 2.75.
The rectangle pre-image has a length of 12 and width of 6. The rectangle image has a length of 6 and width of 3.
Find the scale factor of the dilation shown in the diagram.
1/2
1/3
2
3
Answer:
1/2 is the answer
Step-by-step explanation:
Answer:
1/2 is the anwser
Ya'll FR get 50 point if you answer this question.
Answer:
-0.5
Step-by-step explanation:
m=-1/2=-0.5
Juan conducted a survey of 550 employees of a company about their favorite pastime. Of these, 169 employees chose playing games, 233 employees chose swimming. Compare the probability of an employee's choosing playing games to an employee's choosing swimming.
Using the probability concept, it is found that an employee is more likely to choose swimming, with a 0.4236 = 42.36% probability, compared to a 0.3073 = 30.73% probability for playing games.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For playing games, the probability is:
p = 169/550 = 0.3073.
For swimming, the probability is:
p = 233/550 = 0.4236.
Hence, an employee is more likely to choose swimming, with a 0.4236 = 42.36% probability, compared to a 0.3073 = 30.73% probability for playing games.
More can be learned about the probability concept at https://brainly.com/question/14398287
what's the highest common factor of 5y and y^2?
This is because y is a factor of 5y and it's also a factor of y^2 = y*y
It's the largest common factor between the two given expressions.
Hello.
The highest common factor of
[tex]\mathrm{5y} \:and\:y^{2}[/tex]
is
[tex]y[/tex]
y is the greatest common factor (G.C.F.) also called the Highest Common Factor (HCF)
Therefore, y is the highest common factor of 5y and y².
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Solve for m. Quadrilateral 90° 75° 105° 150° 3 of 4
HELPPP Solve for x. Round to the nearest tenth, if necessary.
Answer:
b = 33.9925 whatever unit is required
Step-by-step explanation:
Sides:
a = 66 m
b = 33.9925 m
c = 56.573 m
Angles:
A = 90 °
B = 31 °
C = 59 °
Other:
P = 156.566 m
s = 78.2828 m
K = 961.53 m2
r = 12.2828 m
R = 33 m
Agenda:
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
Formula: AAS is Angle, Angle, Side
Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.
Use the Sum of Angles Rule to find the other angle, then
use The Law of Sines to solve for each of the other two sides.
linda is a salesperson. she sold a playground slide for $365.39 and earned 14% commission. how mush commission did Linda earn? round your answer to the nearest cent
Answer:
$51.15
Step-by-step explanation:
multiply 365.39 • .14 = 51.15
This is Linda's commission
What is the distance between each pair of numbers?
-a and a
(There is nothing more. The answer is labeled in units)
One is a, and the other is just A.
Please give brainliest. Thanks!
Answer:
2a
Step-by-step explanation:
Just ignore the negative sign and do a+a
Which equals 2a
:) :) :)
So the answer is 2a. :)
help me pls due tmrw
( a )pairs of vertical angles :
AGB and EGD
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.
( b ) a pair of adjacent angles :
AGB and BGC
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
(c) Name a pair if supplementary angles :
AGB and BGD
Two angles are called supplementary when their measures add up to 180 degrees.
(d) A pair of complementary angles :
AGF and FGE
Two angles are called complementary when their measures add to 90 degrees.
(e) Find measure of CGD :
( look into the photo attached for better understanding)
CGD = 55°
hope this helps :)
Callie gives 24 inches of green fabric to her sister. How many feet of green fabric does Callie have left?
Answer:
feets of green fabric - 2feets = answer
Step-by-step explanation:
the inch of the total fabric wasn't given but the path given was that given to her sister
being 24inch
we are supposed to turn the inch to feet to find the answer
so, if
1 inch = 1 feets
12
therefore,
24inch = 1\12 * 24 = 2
let total feet of the fabric = f and
let part left of the fabric = p
therefore, p = f - 2
where p = part left
f = total fabric
Vic has 3 pairs of pants: brown, black, and gray. He has 3 dress shirts: white, black, and stripped. He can also wear a green or black tie
Answer:
What is the question? I could help
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents ( parabola y=-x2+36
Answer:
Step-by-step explanation:
[tex]y=-x^{2} +36[/tex]
can be factored out as (-x-6)(x-6)
x-intercepts are: +6 and -6
represents the two ends of the rainbow
y-intercept: y=36
represents the highest point of the rainbow
