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mart [117]
3 years ago
9

The table below gives the dimensions of a bridge and a scale model of the bridgeFind the scale factor of the model to the real b

ridge.write your answer as a fraction in simplest form.

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
The corresponding sides of the model and the actual bridge are in proportion because the two solids are similar.

The scale factor from the model to the actual bridge is 5/25 = 6/30 = 8/40 = 1/5.

Answer:  1/5
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6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
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To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
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{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





3 0
3 years ago
A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in S
photoshop1234 [79]
She spend $240 dollars
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3 years ago
Clark says that his parents car is 96 units long. Jay says that parents car is 8 units long. Which customary unit of length was
Ivahew [28]
96x8=768 and that would be your answer
4 0
3 years ago
Line segment segment CD has a slope of negative start fraction two over three end fraction and contains point C(−3, −6). What is
Elanso [62]
For perpendicular lines, the slopes are negative reciprocals of one another. Therefore, the slope of QC = 3/2

Using this into the formula of slope:
3/2 = (y + 6) / (-1 + 3)
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If the slope of CD is 2/3, then y works out to be -3.
5 0
3 years ago
Multiply.<br>(v+8)(v-8)<br>simplify
san4es73 [151]
V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64

v^2 - 8v + 8v - 64
v^2 - 64
<span>
This was using the distributive property or using the FOIL method</span>
4 0
3 years ago
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