Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation:
Is this a function or not, if so why? Also, please so ur work!
Answer:
Step-by-step explanation:
It's a function because no x value has two y values.
how can graphs be used to find related data
8(4x+6) -58 = 2(7x+31) helpppppppppppppppp
Step-by-step explanation:
8(4x+6) -58 = 2(7x+31)
32x + 48 - 58 = 14x + 62
32x -10 = 14x +62
32x - 14x = 62+10
18 x = 72
x = 72 /18
x = 4
plz mark my answer as brainlist plzzzz vote me also so ....plzzzz
on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form
Create an algebraic equation for the word problem below.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answer:
p = 5 + 2dStep-by-step explanation:
Let the day number be d and the price after d days be p, then required equation is:
p = 5 + 2dWrite a quadratic equation in standard form that has two solutions, 6 and - 8
This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Answer:
1 week
Step-by-step explanation:
Given:
p = 12w
Where,
w = number of weeks the office has been on the new recycling plan
p = total kilograms of paper recycled.
How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Find w when p = 12
p = 12w
12 = 12w
Divide both sides by 12
w = 12/12
= 1
w = 1 week
Today only, every sweatshirt is $4.25 less than normal price. Right now if you buy 5 sweatshirts, the total cost will be $106.25. What's the normal price of the sweatshirt?
Answer:
Step-by-step explanation:
The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50
Answer:
25.50
Step-by-step explanation:
You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.
James works in a flower shop. He will put 60 tulips in vases for a wedding. He must use the same number of tulips in each vase. The number of tulips in each vase must be greater than 1 and less than 10.
Answer: a. 1, 3, 5, 15
Step-by-step explanation:
If he needs to put an equal number of tulips in each vase he uses, the number of vases will have to be multiples of 15.
The multiples of 15 are;
1, 3, 5, and 15.
James can therefore put;
1 tulip in 15 vases3 tulips in 5 vases5 tulips in 3 vases 15 tulips in 1 vaseWhat is the solution to the system of equations below?
4x - 7y = -2
8x - 14y = -4
Answer ?????
Point Form:
(x,2/7+4x/7)
Equation Form:
x=x,y=2/7+4x/7
Solve for x and y
60°
у
Х
30°
73
Answer:
x=7
y=14
Step-by-step explanation:
this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle
in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x
it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7
so the short leg, x, is 7 and since the hypotenuse is 2x, 2(7) =14
Hi! Ok so my little sister needs help with math but I have no idea what to do.
"A recipe makes 6 2/3 cups of pancake batter. If you use 5/6 of a cup of batter for one pancake, how many pancakes can you make?"
I know the answer is 8, but what are the units?
Answer:
Cups are the unit
Step-by-step explanation:
If you were using cups so 8 pancakes you use 5/6 of a cup per pancake
(a unit is just what you use to measure something, so cups, liters, or even cm or meters)
Answer this please and I would like for you to explain I’ll be giving out ^brainliest^
Answer:btb
Step-by-step explanation:
Does this have Infinite, No, or One solutions? 9x - 17 = -17 + 9x
Answer:
infinite
Step-by-step explanation:
plz give brainliest
Answer:
infinite
it has infinite solutions because the numbers on both sides of the equal sign are exactly the same
Step-by-step explanation:
Which figure has line symmetry?
O A.
F
O B.
H
O C.
J
O D.
L
O E.
R
Answer:
??????
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
If u see this forget it, I typed it in the wrong spot
an electronics manufacturer has 175 capacitors and the same
Answer number 12 plz i dont get it
Answer:
its blarred, but in generally take the sum 90 and solve it
The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10
Answer:
Step-by-step explanation:
The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10
HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?
Answer:
0-5
Step-by-step explanation:
1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
Robert run the 100 meter dash in 13.5. later he run same distance in 10.3 seconds. how many seconds less did it take him to run the same distance the second time?
Answer:
3.2seconds
Step-by-step explanation:
Step one:
Robert run the 100 meter dash in 13.5 seconds
We are told that he later run same distance in 10.3 seconds
Required.
The time difference in the first dash and the second
Step two:
The first dash took 13.5 seconds
the second took 10.3 seconds
the difference = 13.5-10.3= 3.2seconds
Use the remainder theorem to determine if x = 4 is a zero of the following polynomial and find the quotient and the remainder
p(x) = x2 + 11x - 60
ОА.
Yes, x = 4 is a zero of the polynomial
The quotient is x + 15, and the remainder is 0.
ОВ.
No, x = 4 is not a zero of the polynomial
The quotient is x + 15, and the remainder is 0
OC Yes x = 4 is a zero of the polynomial.
The quotient is x + 7, and the remainder is 0
D
No, x = 4 is not a zero of the polynomial.
The quotient is x + 7, and the remainder is -88
Given:
The polynomial is
[tex]p(x)=x^2+11x-60[/tex]
To find:
Whether x = 4 is a zero of the given polynomial by remainder theorem and find the quotient and remainder.
Solution:
According to the remainder theorem, if (x-c) divides a polynomial p(x), then the remainder is p(c).
Divide the polynomial by (x-4) and check whether the remainder p(x)=0 at x=4.
Putting x=4 in the given polynomial, we get
[tex]p(4)=(4)^2+11(4)-60[/tex]
[tex]p(4)=16+44-60[/tex]
[tex]p(4)=60-60[/tex]
[tex]p(4)=0[/tex]
Since, remainder is 0, therefore, (x-4) is a factor of p(x) and x=4 is a zero.
Now, on dividing p(x) be (x-4) we get
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x^2+15x-4x-60}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x(x+15)-4(x+15)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{(x+15)(x-4)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=x+15[/tex]
The quotient is x+15 and remainder is 0.
Therefore, the correct option is A.
Please answer the following attached image:
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} \sqrt{-1}[/tex]
[tex]\sqrt{36}[/tex] is 6 and symbol for [tex]\sqrt{-1}[/tex] is i for imaginary. So your answer will be 6i
The starting line for a race in Pike is 2.4 miles from the finish line. On a map of the course, the starting and finish lines are 1 inch apart. What scale does the map use?
Explain how I solve it?
Answer:
The scale factor is 152,064:1
Step-by-step explanation:
Scaling
The real distance of a race track in Pike is 2.4 miles.
One mile is equivalent to 63,360 inches, thus 2.4 miles = 152,064 inches.
On a map, that very same distance is represented as 1 inch. Thus the scale factor is 152,064:1
This means every inch on the map is equivalent to 152,064 inches on the race track.
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Number of Games Played
20%
20%
20%
20%
20%
16
18
20
24
Answer:
I think the answer is 20
Answer:
C: 20
Step-by-step explanation:
Question 2 of 10
ALMN is a right triangle.
M
34
16
2
30
N
A. True
B. False
SUBMIT
PREVIOUS
Please help!
Answer:
This is true
LMN is a right triangle
question 1: The bank agrees to give you a loan of $4,000 with 1% simple interest over 2 years. How much will your monthly payments be?
question 2: The bank agrees to give you a loan of $3,000 with 2% simple interest over 1 year. How much will your monthly payments be?
Answer:
Its below
Step-by-step explanation:
1. 2000
2. 233
ABCD is a rectangle. Find the mCED
Answer:8.5...
Step-by-step explanation:
2. The perimeter of rectangle is 48cm. If the
files are in the ratio 3 : 5, find the length
of the sides
lets the length be 3x
width be 5x
perimeter = 48
so
3x +5x=48
8x = 48
x =48/8
x= 6
so.
3x = 3×6 = 18
5x = 5×6= 30
hope it will be helpful
