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Olenka [21]
2 years ago
12

A jar of the chemical contains

Mathematics
1 answer:
Leya [2.2K]2 years ago
6 0

Answer: The answer is 144 grams of zinc

Step-by-step explanation:

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A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side
kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}

b) The shortest side measures 76 mi less than the middle​ side( in other words, you have to subtract 76 from middle side to get the shortest side)

x=y-76\Rightarrow equation(2)

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

z=y+379\Rightarrow equation(3)

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\  \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}

now, replace the y value in equatino (2) to find x

b)

\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}

c) finally, prelace x and y value in equation (1) to find z

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0
1 year ago
Jamal reads 5/8 page in 2/3 minutes. What is the unit rate?
kumpel [21]
5/8 . 3/2 is 15/16
So the answer is D
5 0
3 years ago
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle?​
True [87]

Answer:

1/2 of a minute

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
(a-b)(a^2 + ab + b^2)​
Nitella [24]

Answer:

a^3-b^3

Step-by-step explanation:

(a−b)(a2+ab+b2)

=(a+−b)(a2+ab+b2)

=(a)(a2)+(a)(ab)+(a)(b2)+(−b)(a2)+(−b)(ab)+(−b)(b2)

=a3+a2b+ab2−a2b−ab2−b3

=a3−b3

6 0
2 years ago
Read 2 more answers
Which is the least expensive per oz? 12 oz for $5.28 or 18 oz for $7.96. round to the nearest cent?
blondinia [14]
5.28 / 12 = 0.44 per oz
7.96 / 18 = 0.4422 rounds to 0.44 per oz

technically, by rounding to the nearest cent, they are the same cost.
6 0
2 years ago
Read 2 more answers
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