Answer:
It takes them 1.875 hours.
Step-by-step explanation:
Here, the job is cleaning the house.
Mom does 1 job in 3 hours.
In 1 hour, mom does 1/3 of the job.
Dad does 1 job in 5 hours.
In 1 hour, dad does 1/5 of the job.
Mom and dad working together do the job in x hours.
In 1 hour, mom and dad together do 1/x of the job.
1/3 + 1/5 = 1/x
5/15 + 3/15 = 1/x
8/15 = 1/x
8x = 15
x = 15/8 = 1.875
Answer: It takes them 1.875 hours.
Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
<u>The correct option is C.</u>
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
Therefore, 2250 was put into the account at the beginning.
Answer:
237
Step-by-step explanation:
Answer:
exterior angle = 36°
Step-by-step explanation:
In any polygon
exterior angle + interior angle = 180°
let x be the exterior angle then interior angle is 4x , then
x + 4x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus exterior angle = 36°
