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:
A. 
= 
Step-by-step explanation:
of the students wore shorts.
of the students wore jeans.
Converting the fractions of the students who wore shorts and jeans respectively;
= 0.25
= 0.25
This means that the ratio of students who wore shorts is the same as that of students who wore jeans.
i.e =
Answer: 5 cm by 10 cm gives an area of 50 cm^2
To do this draw a parallelogram and start by labeling the base as 10 cm. If 10 cm is the base, then the height needs to be 5 cm.
To find the area, multiply the base times height.
This will give you: 5 x 10 = 50 which is less than 60.
Answer:
7. x=3, 8. x=7, 9. x=15.
Step-by-step explanation:
7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3
8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.
9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.
Hope this helps!
Answer:
The distance PR is 21.6 Km
Step-by-step explanation:
Please find the attached document for explanation.
Also, I applied Cosine rule to determine the distance PR, since i have an angle (Q) in between two given sides of the triangle.
