Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both hoses. They also know that Bob's hose, used alone, takes 20% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?

Answers

Answer 1

Answer:

Final answer:

Jim's hose takes 15 hours while Bob's hose takes 12 hours to fill the pool when used individually.

Explanation:

This is a mathematical problem that can be solved using the concept of rates.

Let x be the time taken by Jim's hose to fill the pool alone. Since Bob's hose is 20% faster, it takes 0.8x hours to fill the pool alone. We know that work done is inversely proportional to the time taken, we set up the equation 1/x + 1/0.8x = 1/12 (since together they fill the pool in 12 hours).

On solving this equation, we get x= 15 hours (Jim's hose) and 0.8x = 12 hours (Bob's hose).

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The figure below shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is true?The slope from point O to point A is one-fourth times the slope of the line from point A to point B. The slope from point O to point A is four times the slope of the line from point A to point B. It is fraction negative 1 over 4 throughout the line. It is –4 throughout the line.
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What when multiplied is 5 but when added is -11

Which pair of equations represents two perpendicular lines?A. y=-7/8x+3 and -7y=-8x
B. 8y=3x+40 and y=8/2x-1
C. 5y=15-2x and 2/5x-4=y
D. y=9x+3 and y=9x-1/3

Answers

I am pretty sure that the answer is A. because the slopes are reciprocals of each other, and so they are perpendicular

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags. How many bags of mixed nuts does she have.

Answers

The total number of bags of mixed nuts with Carmela are 5.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Carmela who mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags.

We can write the equation as -

(3/4 + 1/2 + 1/4) x 1000 = (3/10) x 1000 x n

1.5 x 1000 = 3 x 100 x n

1.5 x 10 = 3n

15 = 3n

n = 5

Therefore, the total number of bags of mixed nuts with Carmela are 5.

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Answer:

Step-by-step explanation:

What does the word pythagorean mean?

Answers

The Pythagorean Theorem is the mathematical concept that states a² + b² = c², where a and b are the sides of a right triangle and c is the hypotenuse. It was created by the Greek philosopher and mathematician Pythagoras.

Definition of PYTHAGOREAN. : of, relating to, or associated with the Greek philosopher Pythagoras, his philosophy, or the Pythagoreans. (from my book dictionary)

(3x²y³)(-5xy^{4}z)When multiplying the variables, do you multiply the x by the x next to the y^{4}z, and the y with the y^{4}? I asked my teacher this question for a similar problem and he said not to. When I asked my dad for help with this problem, he said that you do and the answer is -15x^{3}y^{7}z. Which method is correct?

Answers

remember
x^m=x times itself m times

REMEMBER THAT MULCTIPLICATION IS COMMUTATIVE
a(bc)=(ab)c

so basically
(abc)(3ac)=a*b*c*3*a*c=a*a*c*c*b*3=3a^2bc^2
group and regroup and move around

so in your problem
(3x^2y^3)(-5xy^4z)=
(3)(x^2)(y^3)(-5)(x)(y^4)(z)=
(3)(-5)(x^2)(x)(y^3)(y^4)(z)=
(-15)(x^3)(y^7)(z)=
-15x^3y^7z

Hello I need help please I am stock

Answers

7.
assuming you mean SURFACE area

look at shape
fold it out or whateveryo yo like
we see that the faces are
4 triangles
4 rectangles in midddle
4 more triangles on other side

calculate areas
area of triangle=1/2bh
area of rectangle=bh

leftmost side
h=1.8
b=2
4*1/2*2*1.8=7.2 cm^2

middle recangles
base=3
height=2
aera=3*2=6
multply by 4 snce 4 recangles
6*4=24 cm^2

other triangles

b=2
h=2.71
total area=4*1/2*2*2.71=10.84cm^2
add them up

7.2cm^2+24cm^2+10.84cm^2=42.04cm^2

8. interesting question, not enought time to answer for me and partially too copmplex

The point 3,4 lies on the graph of f(x)= sqrt(2x+a). Which ordered pair below lies on the graph of g(x)=1/2sqrt(2x+a)?a)3/2,2
b)5/2,3/2
c)3,2
d)27,8

Answers

$(3;\ 4);\ f(x)=√(2x+a)\n\n√(2\cdot6+a)=4\n√(12+a)=4\ \ \ /^2\n12+a=16\na=16-12\na=4\n\nf(x)=√(2x+4)$

$g(x)=(1)/(2)√(2x+4)\n\na)\ \left((3)/(2);\ 2\right)\nR=(1)/(2)\sqrt{2\cdot(3)/(2)+4}=(1)/(2)√(3+4)=(1)/(2)\sqrt7;\ L=2;\ L\neq R\n\nb)\ \left((5)/(2);\ (3)/(2)\right)\nR=(1)/(2)\sqrt{2\cdot(5)/(2)+4}=(1)/(2)√(5+4)=(1)/(2)\sqrt9=(1)/(2)\cdot3=(3)/(2);\ L=(3)/(2);\ L=R$

$c)\ (3;\ 2)\nR=(1)/(2)√(2\cdot3+4)=(1)/(2)√(6+4)=(1)/(2)√(10);\ L=2;\ L\neq R\n\nd)\ (27;\ 8)\nR=(1)/(2)√(2\cdot27+4)=(1)/(2)√(54+4)=(1)/(2)√(58);\ L=8;\ L\neq R\n\nAnswer:B$

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