Given : 56 men can do a work in 42 days .
To Find : In how many men will do the same work in 14 days .
Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .
If in 42 days 56 men can do the work ,
Then in 1 day 42 × 56 men can do the work .
Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .
Hence 168 men will do the work in 14 days .
[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]
The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 8 centimeters.
Answer:
[tex]V'(8)=192\text{ cm}^2[/tex]
Step-by-step explanation:
We have the volume of a cylinder:
[tex]V=s^3[/tex]
To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:
[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]
Differentiate. Use the power rule:
[tex]V'(s)=3s^2[/tex]
So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:
[tex]V'(8)=3(8)^2[/tex]
Evaluate:
[tex]V'(8)=192\text{ cm}^2[/tex]
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
Explain answers I need it now plz
Answer:
B
Step-by-step explanation:
The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.
The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.
2x + 5 = 31
- 5 -5
2x = 26
÷2 . ÷2
x = 13
what is the simplest form of 8y-4x=-56 ?
About the only thing you can do with it is divide both sides by 4.
Then you have
2y - x = -14
The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?
Answer:
34
Step-by-step explanation:
Plugin 12 for x
f(12)=4+2.5(12)
2.5 times 12=30
30+4=34
11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?
Answer:
155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9
=155/5*9
=31*9
=279
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
Step-by-step explanation:
Refer the attached picture for complete question
a) V(x)=x(11-2x)(17-2x)
B(x)=140
Side and volume cannot be negative
So, x> 0
11-2x>0 and 17-2x>0
[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]
Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]
b)For finding the greatest Volume
[tex]\frac{dV}{dx}=0[/tex]
[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]
[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]
x=7.155 , 2.177
Consider the graph
So, Volume at 7.155 is negative
Thus x≈2 gives the greatest volume
c)
Consider the graph .
It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]
So, Graph increasing interval is [-1,2] ∪[7,∞)
d)
At the point of intersection, both graph has the same value .
4) Simplify: 312 = 34
A
38
B
9.176
33
18
Answer:
D6td6z6rduyxux7ydy7diyxyixyixuo is a solution of the linear equation 5x and
Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint.
Answer:
[tex]1.45x+0.65y\leq 200[/tex]
Here, [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.
Step-by-step explanation:
Let [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.
Cost of 1 rose = $1.45
Cost of [tex]x[/tex] roses = [tex]\$1.45x[/tex]
Cost of 1 carnation = $0.65
Cost of [tex]y[/tex] roses = [tex]\$0.65y[/tex]
Total cost spend on flowers = [tex]1.45x+0.65y[/tex]
Total amount with Jaida = $200
So,
the inequality to represent the cost constraint is [tex]1.45x+0.65y\leq 200[/tex]
2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?
Answer:
The answer is C
Step-by-step explanation:
Because I said so
Answer:
C. (x, y) -> (x + 8, y - 3)
Step-by-step explanation:
Hope this helps! :D
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
From 24 grams to 96 grams ( percent change )
Answer:
i think it is 300%
Step-by-step explanation:
The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x, cubed, plus, 20, x, squared. The width of the rectangle is equal to the greatest common monomial factor of 8x^58x 5 8, x, start superscript, 5, end superscript, 12x^312x 3 12, x, cubed, and 20x^220x 2 20, x, squared.
The question is incomplete. Here is the complete question.
The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?
Answer: width = [tex]4x^{2}[/tex]
length = [tex]2x^{3}+3x+5[/tex]
Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.
To find the greatest common factor:
1) Write each in prime factored form:
2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x
2) Identify the common factor among the terms:
For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]
Therefore, the width of the rectangle is:
w = [tex]4x^{2}[/tex]
Area of a rectangle is the multiplication of width and length, so:
[tex]A=w*l\\l=\frac{A}{w}[/tex]
To calculate length, we will have to divide polynomials:
[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]
[tex]l = 2x^{3}+3x+5[/tex]
Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.
x²+3x−10=0x
lesser x=
greater x=
please help me
i will give brainleist
Answer: x=-5 x=2
Step-by-step explanation:
x^2+5x-2x-10=0 factor out x from the expression
Xx(x+5)-2x-10=0 factor out x+5 from the expression
(x+5)x(x-2)=0 when the product of factors equals 0, at least one factor is 0
x+5=0 solve for the equation x
x-2=0
x=-5
x=2
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
Explain how to write fractions with denominators of 10 and 100 as decimals.
To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
Learn more here:
https://brainly.com/question/3425446
The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answer:
Step-by-step explanation:
The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is
[tex]\hat y =1.7 +1.48t[/tex]
Weight of the kitten after 10 weeks
[tex]\hat y =1.7 +1.48\times 10[/tex]
[tex]\hat y =16.5[/tex] pounds
This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.
Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.
Hence, the weight of the kitten after 10 weeks is 16.5 pounds.
h(2)=-2²+6(2) the question has to be 20 characters long so I'm just adding this
can you solve this? :-5x =25
Answer:
5
Step-by-step explanation:
-5x =25x
-5 -5
you divide both sides by -5
and you get x=5
hunn please click thanks button
Please Help!
Subtract.
(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)
Answer:
Heya!!
here's your answer
3x^4 − 3x^3 − 3x^2 + 5x −1
Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
Which shows how to best estimate the product of 0.4 x 0.93?
0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1
Answer:
b
Step-by-step explanation:
Answer:
C. 0.5 times 1 = 0.5
I need helps please and ty
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
which number is a perfect cube 25 36 100 64
Answer:
The answer is 64
Step-by-step explanation:
A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
y-5= 1/2(x-1)
y-1/2=5(x-1)
y-1=1/2(x-5)
y-1=5[x-1/2]
Step-by-step explanation:
Hey there!
The given point is (5,1) and slope is 1/2.
Let's use one point formula for finding the eqaution.
[tex](y - y1) = m(x - x1)[/tex]
Keep all values.
[tex](y - 1) = \frac{1}{2} (x - 5)[/tex]
This matches with Option C,
So, your answer is Option C.
Hope it helps...
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?
Answer: James is right
Step-by-step explanation:
Since they average $685 a day for the month. This means for the month, they'll make:
= $685 × 30
= $20,550
Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.
Which of the statements below is a true statement about irrational numbers?
A.Irrational numbers are numbers whose decimal equivalent is repeating and non-terminating.
B.Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
C.Irrational numbers are numbers whose decimal equivalent is repeating and terminating.
D.Irrational numbers are numbers whose decimal equivalent is non-repeating and non-terminating.
Answer:
b
Step-by-step explanation:
Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
what is 9 1/2 - 5 7/12 =
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
47/12
Step-by-step explanation:
19/2-5 7/12= 19/2- 67/12=47/12