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kkurt [141]
3 years ago
8

Fred is 58 yes old, and Irene is 18. How many years ago was Fred 5 times as old as Irene. Algebra must be used

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0
So let's take a peek at both's ages, keep in mind, every year, is 1year added to Irene and 1year added to Fred
so... if we look at their ages  \bf \begin{array}{ccllll}
fred&irene\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
58&18\\
57&17\\
56&16\\
55&15\\
...&...
\end{array}

notice, Fred is always 40years older than Irene

thus, whatever age Irene is, let's say "i", then Fred is " i + 40 "

now, when is Fred 5 times Irene's age or 5*i or 5i? well, 

f = fred's age    i = irene's age

f = i + 40
now if  f = 5i

5i = i + 40   <---    solve for "i" to see how old Irene was then
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Answer:

Yes

Step-by-step explanation:

An integer is a whole number so if x is positive and y is negative then the equation would just be x plus negative y. But x+-y is an odd equation so the simplified version is x-y so it is a rational number, since a rational number is a number that can be rewritten as a simple fraction.

5 0
3 years ago
Which part of the graph best represents the solution set to the system of inequalities y&lt;_ x+1 and y+x&lt;_ -1
Pavel [41]

Hello!

Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.

Also, before graphing, it would be better to convert both equations to slope-intercept form.

y ≤ x + 1 is already in slope-intercept form.

y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)

y + x ≤ - 1 (subtract x from both sides)

y ≤ -x - 1

Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.

Answer: Part C

6 0
3 years ago
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M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

m \propto\ r^3

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

m = kr^3

Given

r=3,m=216

Putting the values

216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8

The equation will now become

m = 8r^3

Putting r = 5

m = 8(5)^3\\m = 8 * 125\\m = 1000

Hence,

The value of m is 1000 for r=5

7 0
3 years ago
Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da
Art [367]

Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:

210 / 30 = 7


It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:

(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits




Hope it helped,



Happy homework/ study exam!




7 0
3 years ago
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Vlada [557]

Answer:

= 8 /1 5

Step-by-step explanation:

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3 years ago
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