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Yanka [14]
2 years ago
7

2 1/3 -6x + 4 1/3-3x

Mathematics
1 answer:
allsm [11]2 years ago
6 0

The answer is -9x + 6 2/3.

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48x + 6 factored is 6 (8x + 1)<br> True<br> False
stepladder [879]

Answer:

true

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Amanda needs to make a garden plot which has an area less than 18 sq. feet. The length should be 3 feet longer than the width. W
SCORPION-xisa [38]

Answer:

<em>Any width less than 3 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:

A = L.W

The first condition can be written as follows:

LW < 18

The length should be 3 feet longer than the width, thus:

L = W + 3

Substituting in the inequality:

(W + 3)W < 18

Operating and rearranging:

W^2 + 3W - 18 < 0

Factoring:

(W-3)(W+6)<0

Since W must be positive, the only restriction comes from:

W - 3 < 0

Or, equivalently:

W < 3

Since:

L = W + 3

W = L - 3

This means:

L - 3 < 3

L < 6

The width should be less than 3 feet and therefore the length will be less than 6 feet.

If the measures are whole numbers, the possible dimensions of the garden plot are:

W = 1 ft, L = 4 ft

W = 2 ft, L = 5 ft

Another solution would be (for non-integer numbers):

W = 2.5 ft, L = 5.5 ft

There are infinitely many possible combinations for W and L as real numbers.

6 0
3 years ago
Se tiene 2 metros de tela y se corta el 85% para hacer cortinas el 50% del resto para hacer las tiras que la sujetan.¿cuantos se
zavuch27 [327]

For this case we have the following statement:

<em>"You have 2 meters of fabric and you cut 85% to make curtains, 50% of the rest to make the strips that hold it. How many centimeters of fabric were left?"</em>

So, we have:

2 meters ---------> 100%

x ----------------------> 85%

Where "x" represents the amount of fabric meters equivalent to 85%.

x = \frac {85 * 2} {100}\\x = 1.7

Thus, 1.7 meters of fabric were used to make curtains.

There are 0.3 meters of fabric left, of which half (50%) is used to make the strips that hold the curtain. That is to say:

\frac {0.3} {2} = 0.15m

Thus, 0.15 meters of fabric remain.

0.15 m * \frac {100 cm} {1 m} = 15\ centimeters.

Thus, 15 cm of fabric remain

Answer;

15 cm

3 0
3 years ago
A Ferris wheel can accommodate 65 people in 20 minutes.How many people could ride the Ferris wheel in 6 hours? What is the rate
goldfiish [28.3K]
65 people=20 minutes
20*3=60 minutes which is 1 hour
65*3=195 people per hour (This is the rate per hour)
195*6=1,170 people per six hours
7 0
3 years ago
Calculate the length of CD give your answer to 3 significant figures.
Westkost [7]

12.7  
Using the Pythagorean theorem, you can easily calculate the length of BC.
So: 
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485  
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So: 
BC/sin(55) = CD/sin(90) 
BC/sin(55) = CD/sin(90) 
sin(90)BC/sin(55) = CD 
1*BC/sin(55) = CD 
BC/sin(55) = CD 
10.39230485/0.819152044 = CD 
12.68666167 = CD 
12.7 = CD
5 0
3 years ago
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