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Alja [10]
3 years ago
15

1. The length of a rectangle is twice the width. An equation that models the perimeter of the rectangle is 2​w +​ 4​w =​ 36 wher

e ​w ​is the width of the rectangle in ft. What are the length and the width of the rectangle?
2. Two consecutive odd integers can be modeled by ​n ​and ​n +​ 2, where n ​is
an odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Mathematics
1 answer:
il63 [147K]3 years ago
7 0
1. 6w = 36
w = 6 l = 12

2. n + n + 2 = 2n + 2 = 80
2n = 78
n = 39 n+ 2 = 41
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I cant remember how to write the units for this.
5 0
2 years ago
About 7 of 10 U.S. households have TV remote controls. There were
julia-pushkina [17]
<span>Total households = 127,900,000 Proportion of households having remote control and not 7 : 3 7x + 3x = 127,900,000 10x = 127,900,000 x = 12,790,000 Households having remote control = 7x = 7 X 12,790,000 = 89,530,000 Answer: 89,530,000 households have TV remote controls.</span>
6 0
3 years ago
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.
babymother [125]
<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: (x,y) \to (x,y-3)  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation (x,y) \to (x,y-3)

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

7 0
3 years ago
Marco needs to buy some dog food. At the nearest store, 6 bags of dog food cost $31.50. How much would Marco spend on 5 bags of
Andrew [12]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find an equation of the line containing (-3,4) and having slope -2. If this line contains the points (a,8) and (5,b), find a and
larisa [96]

Answer:

Step-by-step explanation:

Remark

The slope intercept line is written as y = mx + b in it's general form.

You can get the slope, m, immediately because it is given as -2

So far what you have is y = -2x + b

y intercept

To get the y intercept, use the point (-3 , 4)

x = - 3

y = 4

4 = -2*(-3) + b

4 = 6 + b                 Subtract 6 from both sides

4 - 6 = 6-6 + b

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Line

y = -2x - 2

(a,8)

y = -2a - 2

8 = -2a - 2              Add 2 to both sides

8 +2 = -2a -2+2     Combine

10 = - 2a                 Divide by - 2

10/-2 = a

a = -5

(5,b)

y = -2x - 2

x = 5

y = b

b = -2*5 - 2

b = -10 - 2

b = - 12

6 0
2 years ago
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