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ehidna [41]
2 years ago
6

What is 1,112 rounded to the nearest thousand?

Mathematics
1 answer:
DENIUS [597]2 years ago
7 0

Answer: 1000

because you round down

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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
11 months ago
Two more than a number is less than 14. 2 + n less-than-or-equal-to 14 2 + n less-than 14 2 + n greater-than-or-equal-to 14 2 +
statuscvo [17]

Answer:

x+2 < 14 | -2

x < 12

2+n <= 14 | -2

n <= 12

2+n < 14 | -2

n < 14

2+n >= 14 | -2

n >= 12

2+n > 14 | -2

n > 14

8 0
3 years ago
What equation can I make out of this problem
Ghella [55]
5(4)+5x=60
x=8
x= number of pies the club made
7 0
3 years ago
IAnser this pleaseSnss
Goryan [66]

Answer:

Im pretty sure its x< 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
¿Cuántas diagonales tiene un cuadrado de 64 centímetros de perímetro? Ayudenme pliss esq no entendí la pregunta :(
Ulleksa [173]

Answer:

English: the diagonal length and probably be 22.2

Spanish: la longitud diagonal y probablemente sea 22,2

5 0
2 years ago
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