Answer:
The inequality 15m + 120 ≥ 200 represents the situation.
Step-by-step explanation:
Given that:
Diego started savings account with $120.
Amount deposited each month = $15
Number of months = m
The least balance he wants to have = $200
Amount deposited each month * No. of months + Amount deposited at start ≥ Least amount of balance
15*m + 120 ≥ 200
15m + 120 ≥ 200
Hence,
The inequality 15m + 120 ≥ 200 represents the situation.
Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>
We can find the radius using the formula
From the question
diameter = 10.59 cm
So we have
<h3>radius = 5.30 cm</h3>
<h2>b).</h2>
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3>
<h2>c).</h2>
Volume of a sphere is given by
r = 5.30
The volume of the sphere is
= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>
Hope this helps you
Answers:
bio = 258
sociology = 169
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Work Shown:
x = number of bio textbooks
y = number of sociology textbooks
x+y = 427 books sold total
y = x-89 since 89 less sociology textbooks were sold compared to bio
Apply substitution to get the following
x+y = 427
x+x-89 = 427 ... replace y with x-89
2x-89 = 427
2x = 427+89
2x = 516
x = 516/2
x = 258 bio textbooks were sold
y = x-89
y = 258-89
y = 169 sociology textbooks were sold
Answer:
The answer is 6 1/5 feet in width.
Step-by-step explanation:
Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.
Hope this helps!
x + x + 3 + x - 8
3x - 5 = 55
3x = 60, x = 20
Since we put Julie as x, we put Janet at x + 3, and the brother is x - 8 (8 years younger)
Julie is 20
Janet (x + 3) = (20 + 3) = 23
Brother(x - 8) = (20 - 8) = 12
