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Dafna1 [17]
3 years ago
7

Absolute value equation x=14,2

Mathematics
1 answer:
Pie3 years ago
3 0

Answer:

X

Step-by-step explanation:

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Create an equation to solve for x using the trapezoid midsegment formula:
Serggg [28]

Answer:

Equation for x:    3x - 6 = \frac{2x - 1 + 25}{2}

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = \frac{CD + FE}{2}

3x - 6 = \frac{2x - 1 + 25}{2}

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

4 0
3 years ago
Kayla paints a bookcase she uses 1 5/6 cups of paint on the outside of the bookcase and 3/8 cup of paint on the inside. How many
olchik [2.2K]

Answer: Kayla used 2 5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be

11/6 + 3/8 = (44 + 9)/24 = 53/24 cups of paint. Converting to mixed fraction, it becomes

2 5/24 cups of paint

3 0
3 years ago
On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
lisabon 2012 [21]
<h2>Hello!</h2>

The answer is:

It will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

<h2>Why?</h2>

From the statement, we know that on Monday, bricklayers took 3 hours to lay a total of 4200 bricks.

So, we have that the rate of the four bricklayers is given by the following equation:

Production=Rate*Time\\\\Rate=\frac{Production}{time}

Rate=\frac{4200bricks}{3hours}=\frac{1400bricks}{hour}

Therefore, we have that the rate of the four bricklayers is 1400 bricks per hour, meaning that each bricklayer can lay 350 bricks per hour.

Now, to calculate how many hours it will take to the 2 bricklayers to lay a total of 3150, we need to divide the calculated rate (for bricklayers) by two, since there are only 2 bricklayers working on Tuesday.

So, calculating the time, we have:

Production=\frac{Rate}{2}*Time

3150bricks=\frac{\frac{1400bricks}{hour}}{2}*Time

3150bricks*2*\frac{1hour}{1400bricks}=Time

6300bricks*\frac{1hour}{1400bricks}=Time

Time=4.5hours

Hence, we have that it will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

Have a nice day!

7 0
2 years ago
The sum of three consecutive numbers is -9 what are the numbers
zloy xaker [14]

-9/ 3= -3

-3 + -4 + -2 = -9

 the numbers are -2 , -3 , -4

5 0
3 years ago
Read 2 more answers
the rate of the number of bags mishandled by the airlines fell to 3.74 bags per 1000 passengers in 1011. at this rate, estimate
Makovka662 [10]
Around 5 bags would be misshandled
7 0
3 years ago
Read 2 more answers
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