The length of rectangle is 45 inches and width is 5 inches.
Step-by-step explanation:
Given,
Perimeter = 100 inches
The ratio of length and width = 9:1
It means that 9 times of any number and 1 times of any number will be the original length, therefore,
Let,
x be the that number.
Length = 9x
Width = 1x
Perimeter = 2(Length+width)

Dividing both sides by 20

Length = 9x = 9*5 = 45 inches
Width = x = 5 inches
The length of rectangle is 45 inches and width is 5 inches.
Keywords: rectangle, perimeter
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Answer:
x≤−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
4(x−3)−7x≥6
Step 1: Simplify both sides of the inequality.
−3x−12≥6
Step 2: Add 12 to both sides.
−3x−12+12≥6+12
−3x≥18
Step 3: Divide both sides by -3.
−3x
−3
≥
18
−3
x≤−6
Answer:
In the world of exponents, 4 is the number being raised by the exponent, which is 2.
Let's answer the first question:
If the base is 4, what is the value if the exponent is 2?
- The base is 4 and the exponent is 2. We would multiply 4 two times.

So, it would be 16.
Let's answer the second question:
What if the exponent is -2?
<u>This is the rule for negative exponents:</u>
Using this rule, we can solve
.

So, our answer for the 2nd question is 1/16.
#1: for x input:6,9,13. y=12,15,19 #2: for x input:0,3,7. y= -1,2,6, #3: for x input:0,6,12, y=0,18,36 #4: for x input:2,4,5. y=1,2,2.5 #5: 33
Answer:
314 mi^2 (3 s.f.)
Step-by-step explanation:

diameter of sphere= 10mi
radius of sphere= 10÷2= 5mi
Surface area of sphere= 4(pi)(5^2)= 100pi= 314mi^2 (3 s.f.)