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3 years ago

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Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt

h of the shortest side, and the third side will be twelve feet long. What expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side? (Recall that perimeter is the distance around a shape.) What is the expression in simplified form? What is the coefficient of the variable in the simplified expression?

1 answer:

nlexa [21]3 years ago

8 0

The simplified expression would be 3s + 15.

In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.

2s + 3 + 12 + s -----> simplify

3s + 15

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Select True or false for each statement

PilotLPTM [1.2K]

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

$3\frac{4}{9} + 4\frac{6}{9}$

= $\frac{31}{9} + \frac{42}{9}$

= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

= $8\frac{1}{9} \neq 7\frac{1}{9}$

So, this is false.

2. We have to get the sum as follows :

$4\frac{5}{6} + 1\frac{3}{6}$

= $\frac{29}{6} + \frac{9}{6}$

= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

3. We have to get the difference as follows :

$4\frac{5}{8} - 2\frac{4}{8}$

= $\frac{37}{8} - \frac{20}{8}$

= $\frac{37 - 20}{8}$

= $\frac{17}{8}$

= $2\frac{1}{8} \neq 2\frac{3}{8}$

So, this is false.

4. We have to get the difference as follows :

$7\frac{5}{8} - 4\frac{2}{8}$

= $\frac{61}{8} - \frac{34}{8}$

= $\frac{61 - 34}{8}$

= $\frac{27}{8}$

= $3\frac{3}{8} \neq 3$

So, this is also false. (Answer)

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3 years ago

Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will

blondinia [14]

150 divided by 25 equals 6. 6 times 3 equals 18. This means that you will spend $18 on gas each week.

6 0

3 years ago

Read 2 more answers

PLSS ANSWER MY QUESTION

Taya2010 [7]

Answer:

1) Area of frame: $140cm^2$ ; Area of picture: $40cm^2$ ; Total Area: $180cm^2$ .

2) Area 1 = $48cm^2$ ; Area 2 = $12cm^2$ ; total area = $60cm^2$ [first answer line : $60cm^2$ ]

Step-by-step explanation:

1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).

To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).

12 - 5 = 7

The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm

this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8

So, the dimensions/measurements of the photo are 5 cm by 8 cm.

This means that the inner photo area is 40 (5 x 8) cm

The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40]. [ (12)(15) - 40 ]

[180 - 40] = 140 cm

(area is measured in squared units, so the area of the frame should be written as $140cm^{2}$ ; and the area of the photo should be written as $40cm^{2}$ )

The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as $180cm^2$ )

--------------------------------------

2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].

{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}

as mentioned, the area is length x width.

4 x 12 = 48.

2 x 6 = 12. Once again, you should write area in squared units.

(the area 1 should be written as $48cm^{2}$ ; the area 2 should be written as $12cm^2$ )

you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.

(the total area should be written in squared units also, so the total area should be written as: $60cm^2$ )

The area of the figure is $60cm^2$

8 0

2 years ago

14 is 4 less than three times k

UkoKoshka [18]

14= 3k-4
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3 years ago

Help ! i’ll give brainliest

Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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2 years ago