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Zolol [24]
3 years ago
7

A student needs three pieces of wire for a science project. The second piece must be 3 times as long as the first. The third pie

ce must be twice as long as the second. The student has 350 inches of wire to make the three pieces. Let x be the length of the first piece of wire.
a.write an inequality that models the situation.
b.What are the possible lengths of the shortest piece of wire?
Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

A. 10x=350

B. 35 inches

Step-by-step explanation:

So the first piece is x, and the second is 3 times as long, so the second is 3x, and the third pice is twice as long has the second piece which is 3x, so third piece is 6x. The total is 350 inches, so x+3x+6x=350. Simplify that so you get 10x=350. Divide both sides by 10, and you get x=35 inches. Hope that helps!

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Lara Otero is employed by Parks Inc. She is on a single plan with a PPO annual premium of $6,009. Lara's employer pays 75% of th
Fudgin [204]
If Lara's company pays 75% then she pays 25%. So the total she pays in 1 year (annual) of her premium is: $6,009.00 * 0.25 = $1502.25 So, each month she pays 1/12 of that amount or: $1502.25 / 12 = $125.1875 or rounded to nearest penny $125.19
5 0
3 years ago
Read 2 more answers
F(x) = -3x-3 g(x) =2x^3+2<br> Find f(6) and g(-3)
wlad13 [49]

Answer:

f(6)=-21\\\\g(-3)=-52

Step-by-step explanation:

When given the following two functions,

f(x) =-3x-3\\g(x)=2x^3+2

One is asked to evaluate the functions for, (f(6)) and (g(-3)). One can do this by substituting the values (6) into the function (f) and (-3) into the function (g). These values will replace the parameter (x).

f(6)=-3(6)-3\\

Simplify,

f(6)=-18-3\\f(6)=-21

Now repeat this process for the guncion (g(x)) to evaluate for (g(-3))

g(-3)=2(-3)^3+2

Simplify,

g(-3)=2(-27)+2\\g(-3)=-54+2\\g(-3)=-52

6 0
3 years ago
*PLEASE ANSWER!!! , I WILL MARK BRAINLIEST!! , ASAP!!*
tamaranim1 [39]

A country's income distribution is the <em>distribution of total GDP among the total population</em>

<em>hope it helps</em>

5 0
3 years ago
It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substit
patriot [66]

Let's replace every copy of x with 7 and simplify.

\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\

Recall that the result of a square root operation is never negative. The range of y  = \sqrt{x} and y = \sqrt{5x+1} is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

-\sqrt{5x+1}+9 = 3\\\\

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

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2 years ago
What temperature is 12%C hotter than 16%C
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