Answer:
correct answer: Bob's hose required alone 33 hours and Jim's hose required alone 66 hours
Step-by-step explanation:
Given:
Bob's hose time = 50% of Jim's hose time ⇒
⇒ Jim's hose time = 2 · Bob's hose time
Let be x Bob's hose time and 2x Jim's hose time
The following equation will solve the problem:
1/x + 1/ 2x = 1/22
The common denominator for both fractions is 2x, so we will multiply the first fraction by the number 2 and get:
2/2x + 1/2x = 1/22 ⇒ 3/2x = 1/22 ⇒ x = 3 · 22 / 2 ⇒ x = 3 · 11 = 33 hours
Bob's hose time x = 33 hours and
Jim's hose time 2x = 66 hours
God is with you!!!
Answer:
Yes
Step-by-step explanation:
The Least common multiple (LCM) shows when the two over lap first.
Answer:

Step-by-step explanation:
Proportional functions can be written as
, where
is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after
term). The only answers that fit this format are:

Answer:
X is 36 and y is 48.
Step-by-step explanation:
So a couple of things here: both triangles are equal, and triangles always add up to 180 degrees. If we do some math:
180-108-48=24
This means that 2x-y needs to equal 24. We know what y is, it's 48 since both triangles are equal. Lets do some more math to find x.
48+24=72
72 divided by 2 = 36. 36 is the answer for x.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.
If the coordinates of the top of the triangle (breadth) is (−5,6) and (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:
D = √(y₂-y₁)²+(x₂-x₁)²
Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6
D = √(6-6)²+(-2-(-5))²
D = √0²+3²
D = √9
D = 3 units
Breadth = 3 units
Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.
16 = 2(3+L)
16 = 6+2L
16-6 = 2L
2L = 10
L = 10/2
L = 5 units.
<em>Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.</em>