Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
Answer:
<u><em>Question 1:</em></u>
The smallest 5-digit no. is <u><em>10,000</em></u>
<u>The product of its prime factors is:</u>
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
<u><em>Question 2:</em></u>
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
<u><em>Such as :</em></u>
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
Don't hesitate asking anything regarding this question!
Answer:
w=105rpm
Step-by-step explanation:
The link between The lineal movement and and angular movement is V=w*r
w has units in rad/s, r is the radio of the rotating/moving element .
15 miles per hour= 15*63360 in/h= 950400 in/h= 15840 in/min
with the above relation we can use the link we were talking in the first paragraph.
15840 in/min=w*24in.
w=660 rad/min
w= 660 /(2 pi) rpm= 105rpm
Answer: 547,820
Step-by-step explanation: multiplication