Answer:
3500Step-by-step explanation:
Given the ratio of the profit, cost of materials and labour in the production of
an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25
If the cost of labour is x, the cost of material will be 840+x (since the cost of materials is Le 840 more than that of labour) .
Let the total cost of producing the article be y.
Cost of labour = 13/25 * y = x
Cost of labour = 13y/25 = x.................... 1
Cost of material = 7/25*y = 840+x
Cost of material = 7y/25 = 840+x ..................... 2
From 1, 13y = 25x
x = 13y/25 ................... 3
Substituting equation 3 into 2:
7y/25 = 840+x
7y/25 = 840+13y/25
collect the like terms:
7y/25 - 13y/25 = 840
-6y/25 = 840
-6y = 25*840
y = 25*840/6
y = 3,500
Hence the total cost of producing the article is 3500
URGENT. Geometric Probability.
Answer:
Hello,
Step-by-step explanation:
heigth of the equilateral triangle:
[tex]h=3*\dfrac{\sqrt{3}}{2}[/tex]
Area of the triangle:
[tex]A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\[/tex]
Area of the disk:
[tex]S=\pi*4^2=16\pi\\\\[/tex]
Probability:
[tex]p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}[/tex]
Answer:
Step-by-step explanation:
The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:
[tex]A=\frac{1}{2}(6)(6.5)\\A=19.5[/tex]
The area of the circle is:
[tex]A=\pi(4)^2\\A=16\pi\\A=50.26548[/tex]
Divide the area of the triangle by the area of the circle:
[tex]\frac{19.5}{50.2654}*100=38.8[/tex]%
With which set of information can you construct a unique triangle?
OA the measurements of all the angles
ОВ.
the lengths of two sides
OC. the measurements of two angles
OD. the lengths of all the sides
OE the measurement of one angle
Answer:
D
Step-by-step explanation:
This would be using the SSS.
Which means knowing three sides.
The other options do not relate to any of the SSS, SAS, ASA, RHS
Hope that helped!!! k
What is the greatest common factor of 30, 90 and 75?
calculate 6/√2 and express it in form of a√b
Answer:
[tex]3 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]
We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf 3\sqrt{2}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{6}{\sqrt{2} }[/tex]
[tex]\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}[/tex]
[tex]\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }[/tex]
[tex]\displaystyle \frac{6\sqrt{2} }{2 }[/tex]
[tex]\sf Simplify[/tex]
[tex]3\sqrt{2}[/tex]
Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain
Answer:
Part AThe x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).
The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.
The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.
In the first interval the sale and profit increases, in the second interval the sale and profit decreases.
Part BAverage rate of change from x = 3 to x = 5 is:
(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.
Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.Evaluate: (4*3) * 5 + 15 + 6^2
Answer:
[tex]\huge\boxed{111}[/tex]
Step-by-step explanation:
Use PEMDAS:
[tex](4*3)*5+15+6^2\\\\\rightarrow 4 * 3 = 12\\\\12 * 5 + 15 +6^2\\\\\rightarrow 6^2=36\\\\12*5+15+36\\\\60+15+36\\\\75+36\\\\\boxed{111}\\\\\text{Hope this helps!}[/tex]
Jack is 10 years old.
Kylie is 17 years old.
Vanessa is 23 years old.
Kylie and Vanessa share £16 in the ratio of their ages.
Kylie gives 20% of her share to Jack.
Vanessa gives a quarter of her share to Jack.
How much money does Jack receive?
plz answer me step by step plzz plz
Answer:
3.66
Step-by-step explanation:
calculate their shares and then add the amount they gave to Jack
*PLEASE ANSWER, MAKE SURE YOU ANSWER CORRECTLY* What dimensions would you need to measure the volume of the following prism?
Answer:
base of the triangle, height of the triangle, height of the prism.
Step-by-step explanation:
The formula for calculating the volume of the right triangle prism above is given as [tex] base area * height of prism [/tex].
The base is a right triangle. Area of the right triangular base = ½*base*height of the triangle.
Therefore, the dimensions needed to find the volume of the prism are: "base of the triangle, height of the triangle, and height of the prism.
Answer:
The guy above me is correct its base of the triangle, height of the triangle, height of the prism
Step-by-step explanation:
I also got it correct on my quiz.
how many are 4 raised to 5 ???
Answer:
Step-by-step explanation:
4^5 is equivalent to 4^2*4*3, which, in turn, is equivalent to:
16*64 = 1024.
Also:
8*128 = 1024, and
4*256 = 1024, and so on.
If the areas of two similar triangles are equal, prove that they are congruent
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Please help me with this I need it
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.
In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:
0.2x = 0.4(1 -x)
x = 2(1 -x) . . . . . . multiply by 5 to clear fractions
x = 2 -2x . . . . . . eliminate parentheses
3x = 2 . . . . . . . . add 2x
x = 2/3 . . . . . . divide by 3
Cheryl spent 2/3 of her income in September.
HELP ASAP KHAN NEED HELP NOW ITS KHAN
Answer:
[tex]{ \bf{ \green{line \: B}}}[/tex]
It's a direct proportionality
Find the value of x so that the function has the given value.
j(x)=−4/5x+7; j(x)=−5
x=
Answer:
x = 3
Step-by-step explanation:
j(x) = 4/5(-5) + 7
= -4 + 7
= 3
Answer:
15
Step-by-step explanation: -4/5 x has to be -12 because -12+7 equals 5. Since we want to figure out x, we have to flip -4/5 x to 4/5x which would change the -12 to 12. What is a fourth of 12? It is three. 12+3 equals 15. This is the first right answer on all of the internet for this question!
Complete the equation of the line through (-8, 8) and (1, -10).
Use exact numbers.
y =
Answer:
y = -2x - 8
Step-by-step explanation:
Find the slope using rise/run (y2 - y1) / (x2 - x1)
(-10 - 8) / (1 + 8)
-18/9
= -2
Next, plug in the slope and a point into the equation to find b:
y = mx + b
-10 = -2(1) + b
-10 = -2 + b
-8 = b
Now, plug this and the slope into the equation:
y = -2x - 8
How to do this question plz answer me step by step plzz plz
Answer:
196
Step-by-step explanation:
Surface area of a cuboid:
2 ( lw + wh + hl)
L = Length
W = Width
H = Height
Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.
Volume = lwh; 15 x 2 x (4); So 4 is the height
So, 2 ( lw + wh + hl)
= 2 (15 x 2 + 2 x 4 + 4 x 15)
= 2 (30 + 8 + 60)
= 2 (98)
= 196 is the surface area of cuboid
4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?
Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
help me me Tim x,y,z
Have a good day and I'll hope you get to good score for this homework
The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals is normally distributed. a. Find the probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years. b. Find the mean data value that separates the top 10% from the rest of the means computed from a random sample of size 5.
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = 70 years, standard deviation (σ)= 5.5 years.
a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex], for a sample size of n, the z score is: [tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.
For x = 60:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07[/tex]
For x = 80:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07[/tex]
The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%
b) The z score that corresponds to top 10% is -1.28.
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years[/tex]
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)
A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1
Answer:
A
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2x - 5)(x + 4) ← expand using FOIL
= 2x² + 8x - 5x - 20
= 2x² + 3x - 20 → A
Find the surface area of the
triangular prism.
7 cm
66 cm
7 cm
cm
5 cm
[?] sq cm
Enter
Answer:
169 sq cm
Step-by-step explanation:
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer to the nearest whole number.
Answer:
356 ft³ per month.
Step-by-step explanation:
From the question,
Water flows at a rate of 710 pints per day.
We shall convert 710 pints to cubic feet (ft³).
This can be obtained as follow:
1 pint = 0.0167 ft³
Therefore,
710 pints = 710 × 0.0167 = 11.857 ft³
From the calculations made above, 710 pints is equivalent to 11.857 ft³.
Thus, we can say that water flows at a rate of 11.857 ft³ per day.
Finally, we shall determine the rate of flow of water in cubic feet per month.
Note: there are 30 days in a month.
Water flow at a rate of 11.857 ft³ per day.
Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³
Thus, the flow rate of water is 356 ft³ per month.
PLS HELP ME FAST PLS !!!!!!!!!!!
Answer:
The Answer is P = (-2.5 , 1 )
Step-by-step explanation:
Let, the point is P(x,y)
then, [tex]x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}[/tex]
=>[tex]x=\frac{5*(-1)+ 3*(-5)}{5+3}[/tex]
∴[tex]x=-2.5[/tex]
Again, [tex]y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}[/tex]
=>[tex]y=\frac{5*7+ 3*(-9)}{5+3}[/tex]
∴[tex]y=1[/tex]
Thus, P = (-2.5 , 1 )
What is the slope of the line represented by the equation y
4 X - 3?
0.-
to
Answer:
The slope is 4/1
Step-by-step explanation:
for every 4 units you go up on the y-axis, you go 1 unit on the x-axis.
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)?
Answer:
Hey There!! The Correct answer C: ) is the average number of days a house stays on the market before being sold for price p in $1,000s
A little more clearer explanation:
p is the price in $1000s, and
f(p) is the number of days before its sold for p
Hence, f(250) would be the number of days before its sold for 250,000 (since p is in $1000s)
Answer choice C is the correct one.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer: C
Step-by-step explanation: This is the average number of days the house stayed on the market before being sold for $250,000
Find x
A. 3√3
B. 6√3
C. 2√3 over 3
D. 3
Answer:
A, 3 root 3
Step-by-step explanation:
The triangle is a 30-60-90 Triangle meaning that the shortest side can be multiplied by 2 to get the hypotenuse or the slanted/longest side.
The second longest side of this triangle will always be the shortest side times root 3. Use the chart as a reference.
Answer:
3√3
Step-by-step explanation:
Angle ratio = 30 : 60 : 90
Side ratio = a : a√3 = 2a
Side opposite to 90° = 2a
2a = 6
a = 6/2
a = 3
Side opposite to 60° = a√3
x = a√3 =3√3
PLS ANSWER I WILL GIVE YOU BRAINLIST AND A THANK YOU!!
Answer:
x=45
Step-by-step explanation:
2x+45+x=180
Combine 2x and x to get 3x.
3x+45=180
Subtract 45 from both sides.
3x=180−45
Subtract 45 from 180 to get 135.
3x=135
Divide both sides by 3.
x=135/3
Divide 135 by 3
x=45
1. What is the perimeter of the rectangle?
Answer:
32
Step-by-step explanation:
A = l*w
55 = 5*w
55 /5 = 5w/5
11 = w
The perimeter is
P =2(l+w)
P = 2(5+11)
=2(16)
= 32
Answer:
32Units
Step-by-step explanation:
We know Area of rectangle=LENGTH×BREADTH
Here, breadth and Area given
55=5×L
L=11(value of length=11)
Perimeter=2(L+B)
32=2(5+11).
In the circle below, if < B = 46°, what is the measure of arc AB?
Select one:
a. 23°
b. 46°
c. 92°
d. 112
angle B = ( arc ADB ) ÷ 2
46 = ( arc ADB ) / 2
Multiply both sides by 2
46 × 2 = 2 × ( arc ADB ) / 2
92 = arc ADB
arc AB = arc ADB
arc AB = 92
The measure of arc AB is 92°. Therefore, option B is the correct answer.
Given that, ∠B = 46°.
We need to find the measure of arc AB.
What is an arc of a circle?The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
Now, ∠B = ( arc ADB ) ÷ 2
46° = ( arc ADB ) / 2
Multiply both sides by 2
46° × 2 = 2 × ( arc ADB ) / 2
92° = arc ADB
arc AB = arc ADB
arc AB = 92°
The measure of arc AB is 92°. Therefore, option B is the correct answer.
To learn more about the arc visit:
https://brainly.com/question/23117081.
#SPJ5
Show how the greatest common factor of the numbers 10 and 15 can be used to reduce the fraction 10/15.
Answer:
2/3
Step-by-step explanation:
The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum